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Levels of Participatory Conceptions of Fractional Quantity Along a Purposefully Sequenced Series of Equal Sharing Tasks: Stu's Trajectory
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Current intervention research in special education focuses on children's responsiveness to teacher modeled strategies and not conceptual development within children's thinking. As a result, there is a need for research…
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Tzur, R. & Hunt, J. (2015). Iteration: Unit fraction knowledge and the French fry tasks. Teaching Children Mathematics, 22(3), 149-157.
Mathematics
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Exploratory Study of Informal Strategies for Equal Sharing Problems of Students With Learning Disabilities
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Little to no information exists explaining the nature of conceptual gaps in understanding fractions for students with learning disabilities (LD); such information is vital to practitioners seeking to develop instruction or…
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In this article Jessica Hunt explores the use of clinical interviews to gain a deep understanding of students' knowledge. Examples of clinical interviews are provided and advice for planning, giving and interpreting the…
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Practitioner-focused article connecting research on argumentation to teachers' practice.
Research leads to a framework modifying Toulmin's model of argumentation to help teachers interpret classroom…
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This paper argues that successful practice-based teacher education requires innovations in assessment that can better inform preservice teachers and those who prepare them. Such assessments must focus directly on specific…
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This paper explores the potential of integrating critical and place-based perspectives supported by mobile, digital technologies in secondary mathematics. The paper describes two curricular modules: Local Lotto,…
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Rubel, L. & Hall-Wieckert, M. (2015, July 30). How kids are learning math, maps and spatial justice. Retrieved from www.mediashift.com.
Mathematics…
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Williams, S., Deahl, E., Rubel, L., & Lim, V. (2014). City Digits: Developing Socially-Grounded Data Literacy Using Digital Tools. Journal of Digital and Media Literacy, 2(2). www.jodml.org…
Mathematics Curriculum, Teacher Professionalism, and Supporting Policies in Korea and the United States: Summary of a Workshop
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On July 15-17, 2012 the United States National Commission on Mathematics Instruction and Seoul National University held a joint Korea-U.S. workshop on Mathematics Teaching and Curriculum. The workshop was organized to…
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Students travel through a series of lessons as they analyze data and unpack the meaning of measures of center.
Groth, R.E., Kent, K., & Hitch, E. (2016). Journey to centers in the core. Mathematics…
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Groth, R.E., Bergner, J.A., Burgess, C.R., Austin, J.W., & Holdai, V. (2016). Re-imagining mathematics teacher education through undergraduate research. Council on Undergraduate Research (CUR) Quarterly, 36(3), 41-46…
Invaluable values: an expectancy-value theory analysis of youths’ academic motivations and intentions
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While Science, Technology, Engineering, and Math (STEM) fields have increased in importance over the past decade, minorities have remained traditionally underrepresented in these fields. In this study we seek to better…
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The logic underlying inclusive STEM high schools (ISHSs) posits that requiring all students to take advanced college preparatory STEM courses while providing student-centered, reform-oriented instruction, ample student…
Threatened by Stereotype: An investigation of the effect of stereotype threat on female and minority students’ STEM learning in the context of a computer intervention
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To contribute to the growing field of STEM education, we examined the presence of stereotype threat for
female and African American students during a large-scale computing intervention. Namely, this paper
examines whether…
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This brief explores factors that contribute to opportunity gaps in STEM education based on race, ethnicity, gender, ability, and socioeconomic status. It showcases the work of several DR K-12 projects and describes…
Partnership Building as a Broadening-Participation Strategy: Helping Researchers and Developers Bridge the Gaps in STEM Education
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This brief examines the continued underrepresentation of African Americans, Latinos, Native Americans, and women of all racial and ethnic backgrounds in STEM fields; explains the benefits of collaboration around broadening…
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How can research-based findings and advances help society to re-envision STEM learning and education? This report captures key takeaways, strategies, and challenges identified during the November 2015 workshop, including:…
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This article describes design principles for creating or running a professional development model where teachers work with colleagues and experience a manner of teaching that embeds habits of mind.
The…
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This white paper clarifies different purposes elementary students might write in math class and presents four types of mathematical writing. We define "mathematical writing" as writing that encourages students to engage in…
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When teachers understand the key purposes for having students do mathematical writing, they can use that writing to deepen understanding.
When teachers understand the key purposes for having students do…
Evolution of Unit Fraction Conceptions in Two Fifth-Graders with a Learning Disability: An Exploratory Study
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This exploratory study examines how a foundational scheme of unit fractions (1/n) may evolve through the mathematical activity of two fifth grade girls.
The literature seems limited in what is known…
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This study investigates facilitation of professional development to promote teacher learning when using animations and videos in a study group with five teachers.
Providing opportunities for learning…
Students’ conceptions of reflection: Opportunities for making connections with perpendicular bisector
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Given the current emphasis on the use of transformations for the teaching and learning of geometry, there is opportunity to consider how students’ understanding of geometric transformations can be used to build connections…
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From a social semiotic perspective, students’ use of language is fundamental to mathematical meaning making. We applied thematic analysis to examine students’ use of geometric and contextual ideas while solving a geometry…
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Throughout elementary school, students learn about positive numbers and how they fit on a number line. The transition to using negative numbers, after only working with numbers greater than zero for several years, can be…
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In this article, we explore how students attempt to bridge from their whole number reasoning to integer reasoning as they solve subtraction problems involving negative numbers.
In this article, we…
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Noticing students' mathematical thinking is a key element of effective instruction, but novice teachers do not naturally engage in this practice. Prospective secondary school mathematics teachers were engaged in an…
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This study investigates the models of elementary content specialization (ECS) in elementary mathematics and science and the affordances and constraints related to ECS—both generally and in relation to specific models…
STEM starts early: Grounding science, technology, engineering, and math education in early childhood
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This report summarizes the latest research findings on the importance and impact of early STEM across the child's ecological systems, as well as the critical importance of framing communications about early STEM in an…
Elementary Mathematics Specialists in “Departmentalized” Teaching Assignments: Affordances and Constraints
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In this article, we describe the experiences of three Elementary Mathematics Specialists (EMS) who were part of a larger project investigating the impact of EMS certification and assignment (self-contained or “…
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We report on an eight-year project in which we partnered with several large urban school districts in the U.S. that were attempting to support mathematics teachers’ development of ambitious, inquiry-oriented instructional…
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No longer only for the elite, a new generation of science high schools could help low-income and minority students get better jobs.
No longer only for the elite, a new generation of science high schools…
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This Sprout Pro in a classroom handbook is designed to give you a starting point for integrating Sprout Pro into your learning environment and igniting your students’ creativity.
Sprout Pro was…
Responding to children’s mathematical thinking in the moment: An emerging framework of teaching moves
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This case study contributes to efforts to characterize teaching that is responsive to children’s mathematical thinking.
This case study contributes to efforts to characterize teaching that is responsive…
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This study tests that logic model by comparing the high school experiences and achievement of students in ISHSs and comparison schools in North Carolina.
The logic underlying inclusive STEM high schools…
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This paper describes a strategic process for using formative assessment probes to gather and interpret evidence of student mathematics understandings and misconceptions and then targeting instruction to address identified…
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The main goal of this project is to empirically estimate whether and which classroom factors contribute to mathematics gains of English Language Learners in Texas schools.
The main goal of this project…
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This paper describes a model for differentiating professional development to address teachers’ varied knowledge, experiences, and interests.
This paper describes a model for differentiating professional…
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There is an urgent need to develop appropriate instruments to measure student engagement in math and science for the fields of research and practice. The present study developed and validated student- and teacher-report…
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In this study, we conducted in-depth interviews with 106 students from sixth to twelfth grade and 34 middle and high school teachers about how they conceptualized math and science engagement and disengagement…
Gender Gap in Science, Technology, Engineering, and Mathematics (STEM): Current Knowledge, Implications for Practice, Policy, and Future Directions
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Although the gender gap in math course-taking and performance has narrowed in recent decades, females continue to be underrepresented in math-intensive fields of Science, Technology, Engineering, and Mathematics (STEM).…
Motivational pathways to STEM career choices: Using expectancy-value perspective to understand individual and gender differences in STEM fields
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In this article, we conduct a literature review of the current knowledge surrounding individual and gender differences in STEM educational and career choices, using expectancy–value theory as a guiding framework…
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In this article, we review knowledge about student engagement and look ahead to the future of study in this area.
In this article, we review knowledge about student engagement and look ahead to the…
Who Chooses STEM Careers? Using a Relative Cognitive Strength and Interest Model to Predict Careers in Science, Technology, Engineering, and Mathematics
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While past research has mainly focused on absolute cognitive ability levels in math and verbal domains, the current study tested whether relative cognitive strengths and interests in math, science, and verbal domains in…
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In this study, we explore four, second graders’ performances on integer addition problems before and after analyzing contrasting cases involving integers.
In this study, we explore four, second graders…
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In this study, we explore whether instruction on mapping directed magnitudes to operations helps 88 second graders and 70 fourth graders solve addition and subtraction problems with negative numbers.…
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The results from these analyses are intended to guide researchers in making more-informed decisions about the tradeoffs and considerations involved in selecting study designs for assessing the impacts of professional…
Informing Estimates of Program Effects for Studies of Mathematics Professional Development Using Teacher Content Knowledge Outcomes
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This study presents empirical estimates of average program change in MKT and its variation with the goal of supporting the design of experimental trials that are adequately powered to detect a specified program effect…
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This article presents a framework for calculating statistical power for moderator effects at all levels for two- and three-level CRTs.
Recently, there has been an increase in the number of cluster…
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This framework offers a clear picture of what exactly inclusive STEM schools are and common language for both researchers and practitioners.
Background Inclusive STEM (traditionally known to stand for “…
Attributes of instances of student mathematical thinking that are worth building on in whole-class discussion
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This study investigated attributes of 278 instances of student mathematical thinking during whole-class interactions that were identified as having high potential, if made the object of discussion, to foster learners’…
Prompting Meaningful Analysis from Pre-service Teachers Using Elementary Mathematics Video Vignettes
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By altering the framing conditions that accompany video clips posted to the Everyday Mathematics Virtual Learning Community, this study examined whether more deeply analytical comments could be elicited from pre-service…
Analysis of Pre-service Teachers’ Generalization and Justification Strategies in Solutions to Figural Pattern-generalization Tasks
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We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one…
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In this study we investigated eighth grade students’ informal justification for the circle area formula to expand accounts of the measurement knowledge for middle-school age students.
In this study we…
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Calls for increased focus on mathematical argumentation in school mathematics are critical for teacher educators charged with preparing prospective K-8 teachers (PST) to foster mathematical argumentation in their future…
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In the current study, we advance this research by using EVT as a framework to examine the STEM attitudes of young students directly. We hypothesize that students’ academic-related expectancies for success and subjective…
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This paper investigates the potential role of emotional costs and computer self-efficacy in the connection between computer use at home and students’ computer use patterns.
Previous research has…
Invaluable values: an expectancy-value theory analysis of youths’ academic motivations and intentions
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In this study we seek to better understand some of the factors that might contribute to or potentially mitigate early STEM pipeline leaks, specifically, high school graduation and college entrance leaks…
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The article outlines some academic knowledge and intern experiences that will help prepare the next generation of researchers in mathematics education once a doctoral program has been entered.
There are…
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This study reports data gathered from over 500 doctoral graduates in mathematics education from 23 institutions in the USA from 1997 to 2014 as they self-assessed their research preparation during their doctoral program…
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This article highlights the production of doctorates in mathematics education for the past fifty years.
Institutions in the United States have been producing PhDs in mathematics education for more than…
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This commentary focuses on doctoral programs and doctoral preparation in mathematics education.
Arguments for significantly improving doctoral programs have long been made, both nationally (Bender, 1997…
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This AERA structured poster session shed light on the DRK-12 portfolio of transformative research in mathematics education.
Students need basic mathematics to fully participate in and contribute to…
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To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention,…
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This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom.
Get them talking:…
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This article discusses the use of the Think Aloud strategy at the beginning of a lesson to model to students both the type of thinking that develops conceptual understanding, as well as how to share one’s thinking…
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This article presents an instructional strategy called Mathematical Bet Lines that was designed to promote classroom discourse and sense-making for all students, in particular English Language Learners…
Emerging Design Principles for Online and Blended Teacher Professional Development in K-12 STEM Education
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Following the launch of Spotlight on Online & Blended Professional Development (PD), CADRE convened awardees representing 11 DRK-12 projects in a series of activities designed to elicit and form consensus around…
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To make sense of the Common Core State Standards mathematical practice (MP) 8, this article illustrates what “repeated reasoning” means, why looking for and expressing regularity in it is such a valuable mathematical habit…
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A first-year algebra student’s curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics…
Commentary: Meet Me in Azul’s Room: Designing a Virtual Field Placement for Learning to Teach Mathematics
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This article explores the ways in which a teacher educator uses digital technology to create a virtual field placement to blur the boundaries between a university methods course and teacher candidates’ field placements…
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This article explores the ways in which a teacher educator uses digital technology to create a virtual field placement to blur the boundaries between a university methods course and teacher candidates' field placements…
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A Pleasure to Measure will enable you to select activities quickly, easily, and confidently to target the content that your students are ready to learn. You’ll find everything that you need in the six E’s that the authors…
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This article examine geometry teachers' perspectives regarding realistic contexts during a lesson study cycle. I ask the following. (a) What are the participants' perspectives regarding realistic contexts that elicit…
Uncovering the Skills That Preservice Teachers Bring to Teacher Education: The Practice of Eliciting a Student’s Thinking
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This article reports a study of the specific knowledge of and skills with teaching practice that novices bring to teacher education with respect to one teaching practice, eliciting student thinking in elementary…
Examining the Mathematical Knowledge for Teaching of Proving in Scenarios Written by Pre-service Teachers
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This chapter examines what aspects of Mathematical Knowledge for Teaching of Proving (MKT-P) can be observed in written scenarios of classroom interactions, produced by pre-service teachers of mathematics…
Evaluation of three interventions teaching area measurement as spatial structuring to young children
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In this article, authors evaluated the effects of three instructional interventions designed to support young children’s understanding of area measurement as a structuring process.
We evaluated the…
Designing Simulations to Learn About Pre-service Teachers’ Capabilities with Eliciting and Interpreting Student Thinking
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This chapter focuses on the design of simulation assessments to learn about pre-service teachers’ capabilities with eliciting and interpreting student thinking.
This chapter focuses on the design of…
Children’s Measurement: A Longitudinal Study of Children’s Knowledge and Learning of Length, Area, and Volume
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This monograph is a report on a four-year-long multisite longitudinal study that studied children’s thinking and learning about geometric measurement (i.e., length, area, and volume).
Quantitative…
Directing focus and enabling inquiry with representations of practice: Written cases, storyboards, and teacher education
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In this conference paper, authors discuss affordances and liabilities of using a storyboard to depict a written case of a teacher’s dilemma that involves race, opportunity to learn, and student community…
Moving toward approximations of practice in teacher professional development: Learning to summarize a problem-based lesson
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This article focuses on problem-based lessons in teacher professional development.
González, G. (2018). Moving toward approximations of practice in teacher professional development: Learning to…
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This article focused on equitable mathematics instruction for U.S. and Korean preservice teachers.
Lee, J., Kim, J-H., Kim, S-M., & Lim, W. (2018). How to envision equitable mathematics instruction…
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This chapter focused on learning and teaching measurement.
Smith, J. P., & Barrett, J. E. (2017). The learning and teaching of measurement: Coordinating quantity and number. In J. Cai (Ed.),…
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The study examines geometry teachers' video club discussions in a two-year professional development intervention that combined lesson study, video clubs, and animation discussions to promote teacher noticing of students'…
National Survey on Supporting Struggling Mathematics Learners in the Middle Grades: Executive Summary
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This executive summary captures the results of the National Survey on Supporting Struggling Mathematics Learners in the Middle Grades, a study designed and conducted by EDC. T
This executive summary…
The Evidence Based Curriculum Design Framework: Leveraging Diverse Perspectives in the Design Process
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The ubiquity of touchscreen, mobile tablet technology has resulted in a plethora of “apps for learning” yet few leverage the learning sciences as a design driver. This paper describes our approach to integrating the…
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This brief draws on research supported by the National Science Foundation to highlight important considerations for educators and others who design and provide STEM educational experiences for young children…
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Our work suggests re-conceptualization of research concerning students’ over reliance on example-based reasoning, moving from a view of such reasoning as a stumbling block to quickly overcome toward a view of such…
Examining the career paths of doctorates in mathematics education working in institutions of higher education
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This article focuses on the career paths in higher education taken by 351 doctoral graduates in mathematics education and provides insight into their career path and their resulting workload.
This…
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In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district…
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Eight middle school mathematics teachers’ perceptions and uses of curriculum materials and the Common Core State Standards for Mathematics (CCSSM) were investigated.
Eight middle school mathematics…
Pre-service K-8 Teachers’ Professional Noticing and Strategy Evaluation Skills: An Exploratory Study
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This study sheds light on three teaching competencies: Pre-service teachers’ (PSTs’) professional noticing of student mathematical reasoning and strategies, their ability to assess the validity of student reasoning and…
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The authors fuse Universal Design for Learning (UDL), differentiation, and talk moves into three key planning and pedagogy considerations.
Anticipating and responding to learner variability can make…
Rehumanizing the Mathematics Education of Students with Disabilities: Critical Perspectives on Research and Practice
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This editorial is part of a special issue of Investigations in Mathematics Learning Critical Approaches that was inspired by a Disability in Mathematics Education working group.
Lambert, R., Tan,…
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This article looks at strategies that create access while maintaining the cognitive demand of a mathematics task.
Lynch, S., Hunt, J.H., & Lewis, K. (2018). Productive struggle for all:…
Initial Understandings of Fraction Concepts Evidenced by Students With Mathematics Learning Disabilities and Difficulties
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This study extends current literature by presenting key understandings of fractions, documented through problem-solving activity, language, representations, and operations, evidenced by students with LD and mathematics…
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Understand students’ fraction concepts through interview tasks. Includes tasks and guide to record student thinking.
Understand students’ fraction concepts through interview tasks. Includes tasks…
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Case Studies from the FAACT project.
Case studies from the FAACT project.
Mathematics
Broadening Participation
Special Education…
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Using existing literature, authors create a hypothetical framework of cognitive processes associated with studying informal best fit lines and refine the framework using data from a cycle of design-based research about…
Teachers’ orientations toward using student mathematical thinking as a resource during whole-class discussion
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The purpose of this study is to characterize teachers’ orientations toward using student mathematical thinking as a resource during whole-class instruction.
Using student mathematical thinking during…
Variations in coaching knowledge and practice that explain elementary and middle school mathematics teacher change
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This study investigated relationships between changes in certain types of coaching knowledge and practices among mathematics classroom coaches and how these explain changes in the attitudes, knowledge, and practice of the…
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This article explores how students’ integer value comparisons differed based on question phrasing (which temperature is hottest, most hot, least hot, coldest, most cold, least cold) and on numbers presented (positive,…
Transferring Specialized Content Knowledge to Elementary Classrooms: Preservice Teachers’ Learning to Teach the Associative Property
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This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms.
This study explores how preservice teachers (PSTs) transfer the…
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This article describes a tool to build, ensure, and solidify students’ understanding of quantitative relationships.
Two teachers use a powerful, challenging tool in their Chinese classrooms to build,…
Transitioning from textbook to classroom instruction in mathematics: The case of an expert Chinese teacher
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This study reports how an expert Chinese teacher implements mathematics textbook lessons in enacted instruction.
This study reports how an expert Chinese teacher implements mathematics textbook lessons…
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In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district…
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The study’s purpose is to describe content validity evidence related to new problem-solving measures currently under development.
Bostic, J., Matney, G., Sondergeld, T., & Stone, G. (2018, November…
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The goal for this proceeding is to foster the conversation about validation using examples and to communicate information about validation in ways that are broadly accessible.
Validity-related issues…
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Dr. Jessica Hunt studies how these children think and learn and is developing novel teaching methods that facilitate mathematics learning for students with learning disabilities.
Making sense of…
Integrating STEM into Preschool Education: Designing a Professional Development Model in Diverse Settings
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In this article, the authors outline the main components and the iterative design process we undertook to ensure that the professional supports are relevant and effective for teachers and children.
High…
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Based on a teacher survey of lesson study, this study found that facilitators’ focus on student thinking, the quality of materials, and duration of lesson study were significantly associated with teacher participation in…
Race to the Top and Lesson Study Implementation in Florida: District Policy and Leadership for Teacher Professional Development
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Based on a mixed methods study of a statewide survey and interviews of district professional development directors, we found that district requirement of lesson study, funding provision, and future sustainability plan were…
Traveling Teacher Professional Development Model: Local Interpretation and Adaptation of Lesson Study in Florida
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The chapter discusses the underlying views of teacher professional development and the teaching profession in the U.S. that played an important role in the adaptation process of lesson study.
This mixed…
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In this study, authors use Phenomenological Variant Ecological Systems Theory as a strengths‐based approach to investigate 10 undergraduate Black women’s perceptions of race and gender on their STEM identity development…
Beyond Classroom Academics: A School-Wide and Multi-Contextual Perspective on Student Engagement in School
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A school-wide and multi-contextual perspective on student engagement in school.
School engagement researchers have historically focused on academic engagement or academic-related activities. Although…
Does student-centered instruction engage students differently? The moderation effect of student ethnicity
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This study examined the relationship between student-centered mathematics instruction and adolescents’ behavioral, cognitive, emotional, and social engagement in mathematics and whether the relationship differed by…
Student learning emotions in middle school mathematics classrooms: investigating associations with dialogic instructional practices
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Authors examine how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and boredom.
Emotions are central to…
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Use these ideas to diagnose and address common conceptual obstacles that inhibit students’ success.
Cirillo, M. & Hummer, J. (2019). Addressing misconceptions in secondary geometry proof.…
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Linear Algebra and Geometry is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. The materials are organized…
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In this paper, the author theorizes reciprocal noticing as a relational practice through which teachers and students exchange roles as knowers by reciprocating each other’s noticing as they study mathematics concepts…
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This article describes how research-based learning progressions can be used to enhance the analysis and response to student work.
Dig deeper into classroom artifacts using research-based learning…
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Authors describe an alternative model of online math videos that feature unscripted dialogue of secondary school students, who convey sources of confusion and resolve the dilemmas that arise during problem solving…
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In recent years, prominent organizations have released large-scale policy reports on the state of science, technology, engineering, and mathematics (STEM) education in the United States, with particular emphasis on…
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Test scoring procedures should align with the intended uses and interpretations of test results. In this paper, we examine three test scoring procedures for an operational assessment of early numeracy, the Early Grade…
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In this article, authors argue for deliberate attention to clarifiable ambiguity as a critical aspect of attending to meaning and as a necessary precursor to productive use of student mathematical thinking…
Patterns Linking Interpreting and Deciding How to Respond During the Launch of a Lesson: Noticing from an Integrated Perspective
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Authors describe a complementary way of studying the connections between different aspects of noticing, one that stresses the content of teachers noticing. They report on a study in which participants were shown depictions…
Scaling up innovative learning in mathematics: exploring the effect of different professional development approaches on teacher knowledge, beliefs, and instructional practice
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The purpose of the current study was to explore different ways for teachers to engage in Professional learning experiences (PLEs) and how these approaches might enable the field to scale up these efforts in a sustainable…
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Authors discuss some of the affordances and constraints of using online teaching simulations to support reflection on specific pedagogical actions.
In this chapter we discuss some of the affordances and…
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The purpose of this study was to identify affordances and limitations of using order and value comparison tasks versus number placement tasks to infer students’ negative integer understanding and growth in understanding…
Growth in Children’s Understanding of Generalizing and Representing Mathematical Structure and Relationships
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Authors share results from a quasi-experimental study that examines growth in students’ algebraic thinking practices of generalizing and representing generalizations, particularly with variable notation, as a result of an…
Mathematical content knowledge and knowledge for teaching: exploring their distinguishability and contribution to student learning
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In this replication and extension study, we explore these issues, drawing on evidence from a multi-year study of over 200 fourth- and fifth-grade US teachers. Exploratory and confirmatory factor analyses of these data…
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This paper discusses the extent to which one case study elementary school child with identified learning disabilities (LDs) made sense of composite units and unit fractions.
Students with learning…
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The purpose of this report is to sketch a tentative theoretical structure with the potential to anchor curricular decisions and inform further research on early probability learning.
The role of…
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This article reports on how three prospective teachers had differing opportunities to demonstrate their skills in the context of the field assessment, but similar opportunities in the context of the simulation assessment…
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This mixed-method study was designed to examine whether middle school students’ in-game actions are likely to promote certain types of learning engagement (i.e., content and cognitive engagement).
Game-…
Teachers’ Views of Students’ Mathematical Capabilities: Challenges and Possibilities for Ambitious Reform
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This study offers a large-scale snapshot of middle-grades teachers’ views of their students’ mathematical capabilities in the context of instructional reform.
Background: Research suggests that teachers…
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This paper investigates how one elementary school child with specific visual motor integration differences constructed a unit fraction concept.
Cognitive differences have historically led to deficit…
Eliminating Counterexamples: A Case Study Intervention for Improving Adolescents’ Ability to Critique Direct Arguments
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This case study investigates U.S. eighth-grade (age 13) mathematics students’ conceptions about the validity of a direct argument after the students received instruction on the eliminating counterexamples (ECE) framework…
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This conversion mixed method study analyzed student work samples and teacher lesson plans from seven exemplary inclusive STEM high schools to better understand at what level teachers at these schools are engaging and…
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This article describes how diagrams can be a powerful tool to develop and communicate mathematical understanding for English language learners.
For English language learners, diagrams can be a powerful…
Fostering Video Sharing and Discourse Among STEM Educational Researchers in a Multimodal Environment
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This article looks at the 2017 STEM for All Video Showcase, a multimodal environment, that enabled educational researchers to share and discuss short videos depicting their federally-funded work to improve STEM education.…
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Drawing on a situated perspective on learning, authors analyzed written, open-ended journals of 52 pre-service teachers (PSTs) concurrently enrolled in mathematics and pedagogy with field experience courses for elementary…
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The present report summarizes the analyses of the calibration data for the electronic Test of Early Numeracy (e-TEN), an adaptive, iPad-based test of early numeracy achievement.
The present report…
Addressing the Problem of Always Starting Over: Identifying, Valuing, and Sharing Professional Knowledge for Teaching
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Authors discuss the possibilities of retaining and sharing professional knowledge as a way of addressing the problem of always starting over.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V.,…
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In this editorial, authors discuss the first of the five overarching problems: defining and measuring learning opportunities precisely enough to study how to maximize the quality of the opportunities experienced by every…
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The purpose of this study was to describe how families utilize science activity packs at home.
The role that caregivers can play in their child’s science education is often overlooked within science…
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We describe an experience within mathematics teacher preparation that engages pre-service teachers of mathematics (PMTs) in Making and design practices that we hypothesized would inform their conceptual, curricular, and…
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This article describes online video coaching model used with middle-grades, rural mathematics teachers.
This article describes online video coaching model used with middle-grades, rural mathematics…
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In this chapter, the authors present the design rationale for and empirical results from a predominantly synchronous three-part online model for the professional development of mathematics teachers in rural contexts…
Pathways for Analyzing and Responding to Student Work for Formative Assessment: The Role of Teachers’ Goals for Student Learning
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This study explored how teachers interpreted and responded to their own student work during the process of formative assessment.
This study explored how teachers interpreted and responded to their own…
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In this report, authors describe the results of a rigorous two-year study of the impacts of a mathematics initiative called Ongoing Assessment Project (OGAP) on teacher and student learning in grades 3-5 in two…
Revisiting Purpose and Conceptualisation in the Design of Assessments of Mathematics Teachers’ Knowledge
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In this paper, authors focus on the design of assessments of mathematics teachers’ knowledge by emphasising the importance of identifying the purpose for the assessment, defining the specific construct to be measured, and…
Investigating Classroom-related Factors that Influence Student Perceptions of LEGO Robots as Educational Tools in Middle Schools
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This paper investigates classroom-related factors such as pedagogical strategies and management of robotics-based educational content that contribute to the formation of student perceptions in robotics-enhanced classes…
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This paper will describe the process and result of developing a LEGO robotics, NGSS, and 5E aligned middle school curriculum during a three-week summer PD program for teachers who teach urban students-of-color…
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This paper describes a program to engage teachers to learn about mechatronics, robotics, and Next Generation Science Standards (NGSS) through hands-on activities and collaborative research.
Rapid…
Analyzing Successful Teaching Practices in Middle School Science and Math Classrooms when using Robotics
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This paper analyzes teaching practices that successfully integrate robotics in middle school science and math classrooms.
A robotics-based curriculum offers numerous opportunities to enrich science,…
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This paper describes how the design canvas of Kline et al. was adopted and implemented in our workshop and investigates its benefits.
Advances in science and technology are shaping every aspect of our…
Designing Robotics-based Science Lessons Aligned with the Three Dimensions of NGSS-plus-5E Model: A Content Analysis
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In this study, analyzing lesson plans using the rubrics provided opportunities for suggestions and feedback for improvement to developers and it informs the development of new lessons by the project team…
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A poster to be presented at the Association of Science Teacher Educators International Conference.
Hapgood, S., Heuring, J. & Wilson, G., Czerniak, C. (Accepted for January 2020). Early Childhood…
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Paper presented at the European Science Education Research Association.
Czerniak, C. M., Kaderavek, J., Paprzycki, P., Hapgood, S., Mentzer, G., Molitor, S., & Mendenhall, R. (2019). Longitudinal…
Longitudinal Impact of Early Childhood Science Instruction on Middle Grades Literacy and Mathematics
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Paper presented at the Global Conference on Education and Research.
Czerniak, C. M., Paprzycki, P., Hapgood, S., & Kaderavek, J. (2019). Longitudinal Impact of Early Childhood Science Instruction on…
Scientific Inquiry for Young Children: Linking Teacher Professional Development and Family Engagement to Improve Student Achievement
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Paper presented at the Society for Research on Child Development Conference.
Hapgood, S., Paprzycki, P., Czerniak, C.M. (2019). Scientific Inquiry for Young Children: Linking Teacher Professional…
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22 Common Core State Standards-aligned middle school lessons for teaching STEM with robotics.
22 Common Core State Standards-aligned middle school lessons for teaching STEM with robotics…
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10 NGSS-Plus-5E middle school lessons for teaching STEM with robotics.
10 NGSS-Plus-5E middle school lessons for teaching STEM with robotics.
Engineering…
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This website provides a growing repository of 360 videos of classroom instruction (currently focusing on elementary mathematics). We also have created and are disseminating tutorial videos for using or creating similar…
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The Flipped Mathematics Study offers advice on how to use video to teach math remotely.
The Flipped Mathematics Study offers advice on how to use video to teach math remotely…
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This study is a case of using second-order models of students’ mathematical thinking to differentiate instruction, and it reveals that inquiring into research-based knowledge and inquiring responsively into students’…
Initiation-Entry-Focus-Exit and Participation: A Framework for Understanding Teacher Groupwork Monitoring Routines
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In this paper, authors offer a framework for teacher monitoring routines—a consequential yet understudied aspect of instruction when teachers oversee students’ working together.
In this paper, we offer…
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Collection of 158 free interactive math and science simulations from University of Colorado Boulder. Engage students in math and science practices, and virtual labs, during remote learning. Find over 2,000 sim-based…
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Data Nuggets are free classroom activities, co-designed by scientists and teachers, designed to bring contemporary research and authentic data into the classroom. Students are guided through the entire process of science,…
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Play nine math learning apps and dozens of hands-on activities at home or in the classroom. A digital Teacher's Guide supports use in the classroom, and a digital Family Fun Guide provides activities to do at home…
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eRebuild is a math learning game for students in grades 6th-8th. The game focuses on teaching the concepts of geometery and ratios and proportions through gameplay.
eRebuild is a math learning game for…
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Proportions Playground is designed to build understandings of proportional reasoning.
Proportions Playground is designed to build understandings of proportional reasoning.…
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Each short video provides ideas for family science activities for preschool-grade 3 students that reinforce NGSS 3D learning.
Each short video provides ideas for family science activities for preschool-…
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The Analyzing Instruction in Math using the Teaching for Robust Understanding Framework (AIM-TRU) learning cycle is the result of a research-practice partnership centered on using the analysis of videocases grounded in…
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This poster shares data from a Grades K–2 cross sectional study that examined how students' thinking about equations and the meaning of the equal sign were shaped by their experiences exploring equations with pan balances…
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This poster provides an overview of the Strengthening Data Literacy across the Curriculum (SDLC) project, which is developing and studying curriculum modules for non-AP high school statistics classes to promote interest…
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A digital tool that offers compelling student middle grades math problems and provides students with assessment tools and a dynamic learning map.
A digital tool that offers compelling student middle…
Teacher Voices from an Online Elementary Mathematics Community: Examining Perceptions of Professional Learning
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This study compares web usage data with interviews from 41 participants, who are members of an online professional development site called the Everyday Mathematics Virtual Learning Community (VLC), to explore how…
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The LEAP program is the first early algebra curriculum for students in grades 3-5. The program includes 18-20 one-hour lessons at each grade level and teacher support and assessment. Professional development …
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In response to the COVID-19 pandemic school closures, the VAM project compiled example strategies, tasks, and apps for supporting students who are English learners (ELs) in mathematics, with information about how to adapt…
Mathematics Teaching Has Its Own Imperatives: Mathematical Practice and the Work of Mathematics Instruction
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In the article, the authors locate how mathematics instruction may actively respond to the influence of the discipline of mathematics and exemplify how obligations to other stakeholders may participate in the practical…
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Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN.
Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN…
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Presentation slides from the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
Presentation slides from the 41st annual meeting of…
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Presentation slides from the 42nd Conference of the International Group for the Psychology of Mathematics Education.
Presentation slides from the 42nd Conference of the International Group for the…
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This article describes an identity-based curriculum, Mathematics for Justice, Identity, and meta-Cognition (or MaJIC), that provides a form of mathematics therapy through a restorative justice framework…
Exploring Prospective Teachers’ Ability to Generate and Analyze Evidence-based Explanatory Arguments
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In this paper, using written responses of 37 PSTs preparing to teach grades 1-8 mathematics, authors examined explanations they constructed to support their problem solutions and explanations they provided in support of…
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In this article, we describe an example of differentiating instruction (DI) involving middle school students from a five-year project funded by the National Science Foundation.
Differentiating…
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Three 18-session design experiments were conducted, each with 6–9 7th and 8th grade students, to investigate relationships between students’ rational number knowledge and algebraic reasoning. Implications for teaching are…
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This resource contains advice from CAREER awardees in the DRK-12 portfolio about how to develop a competitive proposal and successfully manage a CAREER project based on their experience.
This resource…
Webinar Resources: Strengthening Educators’ Practices for Engaging and Empowering Students with Disabilities and Difficulties as Mathematics Learners
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Amy Brodesky, Jessica Hunt, Karen Mutch-Jones and Judy Storeygard shared key components, successes, and challenges of asset-based PD in mathematics. The webinar focused on the pressing question: What…
Webinar Resources: Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching
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In this webinar, presenters Joseph DiNapoli, Eileen Murray, Doug O'Roark, and John Russell, shared the evolution of an analytic method that aims to reveal how secondary mathematics teachers…
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This study explores the pathways to K–12 Science, Technology, Engineering and Mathematics instruction among Black/African American males in the Discovery Research Education for African American Men in STEM to Teach (DREAMS…
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This NCTM 100 Days of Professional Learning webinar explores the cycle of inquiry and justification, conceptual obstacles, and strategies for overcoming these obstacles.
The Cycle of Inquiry and…
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In this paper, authors present a design narrative of our experience developing dashboards to support middle school mathematics teachers’ pedagogical practices, in a multi-university, multi-school district, improvement…
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A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5 early algebra intervention with a diverse student population.
A cluster randomized trial design was used to…
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The purpose of this presentation is to convey validity evidence for a new measure titled Problem-Solving Measure for grade four (PSM4), an assessment within the previously published PSM series designed for elementary and…
“You are Never too Little to Understand Your Culture”: Strengthening Early Childhood Teachers through the Diné Institute for Navajo Nation Educators
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This article describes one effort to strengthen early childhood teaching in schools on the Navajo Nation that centers the work of two teachers within a program attempting to support teachers in the development of…
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This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform.…
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Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest…
Applying the Curriculum Research Framework in the Design and Development of a Technology-Based Tier 2 Mathematics Intervention
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The production of the first-grade Precision Mathematics intervention was grounded in the Curriculum Research Framework (CRF), which involves a series of iterative cycles of development, implementation field-testing,…
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This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual…
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This article discusses the implementation of innovative teaching approaches in mathematics.
Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019). Different ways to implement innovative teaching…
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The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning - the extent to which practicing teachers were able to make sense of reasoning that involved the fixed…
Design Considerations in Multisite Randomized Trials Probing Moderated Treatment Effects Journal of Educational and Behavioral Statistics
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The purpose of this study is to develop a statistical framework and tools for the effective and efficient design of multisite randomized trials (MRTs) probing moderated treatment effects.
Past research…
Exploring Differences in Practicing Teachers’ Knowledge Use in a Dynamic and Static Proportional Task
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This exploratory study investigated 32 teachers’ use of knowledge resources in two mathematically similar tasks (one a paper and pencil task, the other a dynamic task) around proportional reasoning.…
An Emerging Community in Online Mathematics Teacher Professional Development: An Interactional Perspective
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The purpose of this study was to better understand the process by which a community emerges in such a PD setting by examining how the cohesiveness of 21 mathematics teachers’ social network evolves and associated shifts in…
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This study compared prospective mathematics teachers' (PMTs) noticing while teaching a lesson during their student teaching internship of PMTs who participated in a noticing intervention to those who did not participate in…
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The purpose of this study was to develop and validate a self‐assessment using critical components of successful inclusive STEM high schools for school personnel and educational researchers who wish to better understand…
The Role of Instructional Materials in the Relationship Between the Official Curriculum and the Enacted Curriculum
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The authors studied how the distal policy mechanisms of curricular aims and objectives articulated in official curriculum documents influenced classroom instruction, and the factors that were associated with the enactment…
Using Authentic Video Clips of Classroom Instruction to Capture Teachers’ Moment-to-Moment Perceiving as Knowledge-Filtered Noticing
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This article reports on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception.
In this article, we report on the development of a novel…
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This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms.
This article elaborates a…
Strengthen Mathematics Intervention to Promote Student Success: Suggestions for middle level principals
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This article offers six suggestions for middle school principals to implement or strengthen mathematics intervention classes at their schools, based off the findings of the authors' NSF-funded research…
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This paper describes a partnership between a university and an urban school district, formed with a goal of preparing mathematics teacher leaders to conduct professional development (PD) at their schools…
On the Alignment of Teachers’ Mathematical Content Knowledge Assessments with the Common Core State Standards
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This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment…
Impacts of Attending an Inclusive STEM High School: Meta-analytImpacts of Attending an Inclusive STEM High School: Meta-analytic Estimates from Five Studiesic Estimates from Five Studies
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This study uses a meta-analytic approach to investigate the relationship between attending an inclusive STEM high school and a set of high school outcomes known to predict college entry and declaration of a STEM college…
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This study evaluated a portion of our learning trajectory, focusing on the instructional component. We found that the instruction was successful in promoting a progression from one level to the next for 40% of the children…
Prospective K-8 Teachers’ Noticing of Student Justifications and Generalizations in the Context of Analyzing Written Artifacts and Video-Records
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This paper contributes to current discussions about supporting prospective teachers (PSTs) in developing skills of noticing students’ mathematical thinking. The results document that without providing any intentional…
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Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily…
Design, Development, and Initial Testing of Asset-Based Intervention Grounded in Trajectories of Student Fraction Learning
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One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. This article reports the development and initial testing of an intervention…
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Learning goals differ from performance goals. This article elaborates on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning.
Learning goals…
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This paper explores the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping…
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The Responsive Math Teaching (RMT) project’s 3-year model for professional development introduces teachers to a new instructional model through a full year of monthly Math Circles, where they experience problem solving and…
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This is a description of a new methodological tool to gather response process validity evidence. The context is scholarship within mathematics education contexts.
Response process validity evidence…
Preparing Paraeducators for the Teacher Pipeline: Building Confidence Through Professional Development in Mathematics
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The article describes our project that was designed to provide experiences to support paraeducators' professional growth in a large urban district by building their mathematical knowledge for teaching and leadership.…
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We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution…
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Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common,…
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We argue that progress in the area of research on mathematics teacher responses to student thinking could be enhanced were the field to attend more explicitly to important facets of those responses, as well as to related…
Teachers' Responses to Instances of Student Mathematical Thinking with Varied Potential to Support Student Learning
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This study investigated teachers’ responses to a common set of instances of student mathematical thinking (SMT) with varied potential to support students’ mathematical learning, as well as the productivity of such…
Integrating a Statistical Topic Model and a Diagnostic Classification Model for Analyzing Items in a Mixed Format Assessment
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Selected response items and constructed response (CR) items are often found in the same test. Conventional psychometric models for these two types of items typically focus on using the scores for correctness of the…
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The Responsive Math Teaching (RMT) Instructional Model breaks high-quality math teaching down into seven core components: plan, launch, facilitate productive struggle, make student thinking visible, connect to the…
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The Responsive Math Teaching Project's (RMT) Planning and Coaching Protocol is an 18-page booklet that includes the RMT Instructional Model as well as a planning and coaching guide for each phase of the RTM instructional…
Networking Frameworks: A Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying
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In this paper, authors network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more…
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The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to…
Competencies and Behaviors Observed When Students Solve Geometry Proof Problems: An Interview Study with Smartpen Technology
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This peer-reviewed research journal publication addresses one of the grant goals with respect to how students performed on a set of proof tasks.
This peer-reviewed research journal publication addresses…
Teaching Early Algebra through Example-based Problem Solving: Insights from Chinese and U.S. Elementary Classrooms
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Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-…
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This study examines how sampled Chinese and U.S. third and fourth grade students (NChina=167,NUS=97) understand the commutative, associative, and distributive properties.
This study examines how sampled…
Cognitive Instructional Principles in Elementary Mathematics Classrooms: A Case of Teaching Inverse Relations
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This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers’ early algebra lessons in the U.S…
Backward Transfer Influences from Quadratic Functions Instruction on Students’ Prior Ways of Covariational Reasoning about Linear Functions
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The study reported in this article examined the ways in which new mathematics learning influences students’ prior ways of reasoning. Authors conceptualize this kind of influence as a form of transfer of learning called…
Theory to Practice: Prospective Mathematics Teachers’ Recontextualizing Discourses Surrounding Collective Argumentation
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Teacher education programs have a critical role in supporting prospective teachers’ connections between theory and practice. In this study, authors examined three prospective secondary mathematics teachers’ discourses…
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A teacher uses formative assessment interviews to uncover evidence of students’ understandings and to plan targeted instruction in a mathematics intervention class. Authors present an example of a student interview, a…
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Activating Math Talk is a resource for promoting high-quality math discourse in grades K-5. The content of the chapters and discussion questions within are meant to spark conversations among teachers, teacher leaders,…
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In this chapter, authors use the Framework for Teaching Practice (Grossman, et al., 2009) as a conceptual tool for analzying the design of professional development.
In this chapter, we use the Framework…
Decomposing Practice in Teacher Professional Development: Examining Sequences of Learning Activities
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In this paper, authors analyze a PD design, examining its activities and the sequencing of professional learning tasks.
In this paper, we analyze a PD design, examining its activities and the sequencing…
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This article describes one mathematics professional development program designed to support all K-5 students' engagement in productive mathematical discussions, in particular emergent multilingual learners…
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This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of Epistemic Network Analysis to understand the…
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The Fraction Activities and Assessments for Conceptual Teaching (FAACT) instructional program is designed to support teachers’ insights into students’ conceptual understandings of fractions. The overall program…
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The Math Pathways & Pitfalls K-8 curriculum was designed with built-in support for teachers, alignment to the Common Core State Standards and Mathematical Practices. The curriculum can be flexibly used as an…
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Fun and easy to use math games designed for children ages 3 to 6-years-old. Some games are quick and use everyday materials; others use a game board for more extended play. All of the games can be played multiple times and…
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In this collection of materials, four geometric topics are covered in animated, digital materials. There are also paper-based materials for the four geometric topics: Angles, Transformations, Pythagorean Theorem, and…
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Instructional modules that bring sustainability topics into classrooms in a way that emphasizes the methods and tools of mathematics and computing and illustrates their role in planning for sustainability. Through the…
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High school physics lessons designed to empower teachers, create cultural change, and inspire young women to pursue physics in college. The lessons build a counternarrative in the classroom, dismantling the commonly-held…
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What can you infer from this example? and Who is Right? are two modules that address issues of mathematical content knowledge and pedagogical content knowledge for teaching reasoning and proving.Each module intends to help…
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The Advancing Reasoning Covariationally (ARC) curriculum is a curriculum for working pre-service and in-service teachers. ARC targets and develops quantitative and covariational reasoning as connecting threads to major…
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Learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as “mathematically captivating learning experiences” or “…
Promoting Teacher Self-Efficacy for Supporting English Learners in Mathematics: Effects of the Visual Access to Mathematics Professional Development
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The Visual Access to Mathematics (VAM) project developed and studied teacher professional development (PD) focused on linguistically-responsive teaching to facilitate ELs’ mathematical problem solving and discourse. This…
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This study explored the verb clauses and thematic development evident in curriculum materials and in transcripts of teachers planning lessons using the materials.
The study explored the verb clauses and…
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This presntation addreses 4 research cquestions
•What extant criteria do Grade 8 students use to choose the better line
of fit between two lines “fit” to a set of data, when both lines express
the trend of the data…
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Students’ difficulties with contrapositive reasoning are well documented. Lack of intuition about contrapositive reasoning and lack of a meta-argument for the logical equivalence between a conditional claim and its…
Eliminating Counterexamples: A Case Study Intervention for Improving Adolescents’ Ability to Critique Direct Arguments
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Students’ difficulties with argumentation, proving, and the role of counterexamples in proving are well documented. Students in this study experienced an intervention for improving their argumentation and proving…
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Several recent studies have focused on helping students understand the limitations of empirical arguments (e.g., Stylianides, G. J. & Stylianides, A. J., 2009, Brown, 2014). One view is that students use empirical…
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This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying…
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This is a technical report detailing the methods and findings for each of the research studies in the LLAMA project.
Mathematics
Achievement
Learning…
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Research suggests that if students use viable argumentation in their middle school classes, then they will increase their complex mathematical reasoning and mathematics achievement. This is a 2-page infographic…
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The research team developed the Student Argument and Reasoning Assessment (SARA) to measure students’ abilities to construct viable arguments and critique others’ arguments. The SARA was originally developed and validated…
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The Classroom Argumentation Observation Protocol developed in LAMP measures teachers’ pedagogical practices in terms of teachers providing opportunities for students to engage in the mathematics learning experiences…
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This paper puts forth a detailed conceptual framework for K-12 integrated STEM education that can be used by researchers, educators, and curriculum developers as a common vision
Given the large…
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In this article, we describe the case of “Keri,” a fifth-grade teacher who had completed an Elementary Mathematics Specialist (EMS) certification program. Drawn from a larger study investigating the knowledge, beliefs, and…
Mathematical and Scientific Argumentation in PreK-12: A Cross-Disciplinary Synthesis of Recent DRK-12 Projects
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This review synthesizes insights from 23 NSF-funded projects, totaling $40 million, that studied mathematical and scientific argumentation in STEM education from prekindergarten (PreK) to Grade 12. The projects reported on…
Teachers’ Pedagogical Content Knowledge in Mathematics and Science A Cross-Disciplinary Synthesis of Recent DRK-12 Projects
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This review synthesized insights from 27 NSF-funded projects, totaling $62 million, that studied pedagogical content knowledge (PCK) in STEM education from prekindergarten (PreK) to Grade 12, split roughly equally across…
Secondary Mathematics Teachers’ Use of Students’ Incorrect Answers in Supporting Collective Argumentation
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This study illustrates how two secondary mathematics teachers used students’ incorrect answers as they supported students’ engagement in collective argumentation.
This study illustrates how two…
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The give-n task is widely used in developmental psychology to indicate young children’s knowledge or use of the cardinality principle (CP): the last number word used in the counting process indicates the total number of…
Second and Fifth Graders’ Use of Knowledge-Pieces and Knowledge-Structures When Solving Integer Addition Problems
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In this study, we explored second and fifth graders’ noticing of negative signs and incorporation of them into their strategies when solving integer addition problems. For both grade levels, the order of the numerals, the…
A Three-Part Synchronous Online Model for Middle Grade Mathematics Teachers’ Professional Development
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In this chapter, we describe a three-part fully online model for the professional development of middle school mathematics teachers. This chapter contributes to understanding how online contexts provide opportunities to…
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In this project, we have designed, implemented, and started to research an innovative fully online video-based professional development model for mathematics coaches in rural contexts. The intent of the poster will be to…
Examining the Use of Video Annotations in Debriefing Conversations during Video-Assisted Coaching Cycles
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This study examined how mathematics coaches leverage written annotations to support professional discourse with teachers about important classroom events during synchronous debriefing conversations. Coaches and teachers…
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This study explored an innovative coaching model termed video-based online video coaching. As part of an NSF-funded project, we studied nine mathematics coaches over four years as they engaged in video-based coaching…
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This blog post looks at the role of simulations in teacher learning.
Cohen, J., Wong, V., Krishnamachari, A., & Jones, N. (2021). Simulations as a platform for understanding and improving teachers'…
Profiles of Elementary Teachers’ Use of Mathematics Curriculum Materials and the Influence of Teacher Expertise
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The National Council of Teachers of Mathematics has consistently emphasized the importance of curricular coherence in mathematics education. However, the predominance of the Internet has led to a lack of consistency in the…
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In this article, we use data from interviews, class observations, and an analysis of instructional videos to describe an elementary mathematics specialists' efforts to incorporate flipped instruction for mathematics in her…
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The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service teachers about an Algebra I tutoring program for students with learning disabilities. The researchers surveyed and…
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The Responsive Math Teaching project has been developing and refining a model for the development of mathematics instructional leadership in a network of 13 urban under-resourced elementary schools. This report summarizes…
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This study explored how two professional development approaches to reforming math instruction with different mechanisms for fostering change might have valuable synergies when used in tandem to support take-up, i.e.,…
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The purpose of this study was to investigate fourth-grade students’ sensemaking of a word problem. Sensemaking occurs when students connect their understanding of situations with existing knowledge. We investigated…
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The construct of active learning permeates undergraduate education in science, technology, engineering, and mathematics (STEM), but despite its prevalence, the construct means different things to different people, groups,…
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Through a composite counter-story from the perspective of fifth-grade Raza learners, the authors show how race and language play a role in the mathematics classroom.
Through a composite counter-story…
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Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed…
Situating Presence within Extended Reality for Teacher Training: Validation of the Extended Reality Presence Scale (XRPS) in Preservice Teacher Use of Immersive 360 Video
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The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.
The use of video is…
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This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies…
360 Video as an Immersive Representation of Practice: Interactions between Reported Benefits and Teacher Noticing
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This study examined and compared teachers’ perceived affordances of 360 video as a representation of practice and their professional noticing of students’ mathematics in 360 videos. Results from this study suggest that…
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There is strong empirical evidence in support of learning from comparisons in mathematics education research. The Animated Contrasting Cases in Geometry project seeks to extend this research and transform the learning of…
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Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student…
Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching
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Incorporating video case study of mathematics teaching into professional development (PD) can provide opportunities for teachers to develop new ways of seeing teaching and learning and inform efforts to enact new…
The Development of Critical Teaching Skills for Preservice Secondary Mathematics Teachers Through Video Case Study Analysis
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Using social learning theory with the central concept of a community of practice, we situate this work within a secondary mathematics methods course to unpack preservice secondary mathematics teachers (PSMTs) development…
Using Online Simulations to Promote Elementary Preservice Teachers’ Facilitation of Argumentation-Focused Discussions in Mathematics and Science
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In this study, our team developed and is studying the use of an Online Practice Suite (OPS) composed of a coordinated and scaffolded collection of three practice-based online simulations designed to support the development…
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In this manuscript, we propose that educators’ perspectives may serve as an independent source of evidence that can be integrated with traditional evidence sources (e.g., cognitive interviews with students, psychometric…
Beyond Content: The Role of STEM Disciplines, Real-World Problems, 21st Century Skills, and STEM Careers within Science Teachers’ Conceptions of Integrated STEM Education
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This study used an exploratory case study design to investigate conceptions of 19 K-12 science teachers after participating in an integrated STEM-focused professional development and implementing integrated STEM lessons…
Eliciting and Refining Conceptions of STEM Education: A Series of Activities for Professional Development
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Integrated STEM (science, technology, engineering, and mathematics) education is becoming increasingly common in K–12 classrooms. However, various definitions of STEM education exist that make it challenging for teachers…
Improving Integrated STEM Education: The Design and Development of a K-12 STEM Observation Protocol (STEM-OP) (RTP)
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The work presented here describes in detail the development of an integrated STEM observation instrument - the STEM Observation Protocol (STEM-OP) - that can be used for both research and practice. Over a period of…
Examining Temporal Dynamics of Self-Regulated Learning Behaviors in STEM Learning: A Network Approach
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From a network perspective, self-regulated learning (SRL) can be conceptualized as networks of mutually interacting self-regulatory learning behaviors. Nevertheless, the research on how SRL behaviors dynamically interact…
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With the spread of learning analytics (LA) dashboards in K-12 schools, educators are increasingly expected to make sense of data to inform instruction. However, numerous features of school settings, such as specialized…
When Should I Use a Measure to Support InstructionalImprovement at Scale? The Importance of Considering BothIntended and Actual Use in Validity Arguments
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Despite the ease of accessing a wide range of measures, little attention is given to validity arguments when considering whether to use the measure for a new purpose or in a different context. Making a validity argument…
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The process of using Learning Analytics (LA) to improve teaching works from the assumption that data should be readily shared between stakeholders in an educational organization. However, the design of LA tools often does…
"I Happen to Be One of 47.8%": Social-Emotional and Data Reasoning in Middle School Students' Comics about Friendship
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Effective data literacy instruction requires that learners move beyond understanding statistics to being able to humanize data through a contextual understanding of argumentation and reasoning in the real-world. In this…
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We explore the implementation of a co-designed data-dance unit in which middle school students created their own embodied metaphors to represent and communicate about graphs through dance. In analyzing dance artifacts and…
Designing Learning Environments to Promote Academic Literacy in Mathematics in Multilingual Secondary Mathematics Classrooms
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Emerging multilingual students can develop the dimensions of Academic Literacy in Mathematics (ALM) in classroom discussions. But, there is a need for empirically-validated principles for fostering such discussions. This…
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We introduce and illustrate three principles for designing secondary mathematics classrooms in which multilingual students can benefit from participating in mathematical discussions. Drawing from the Academic Literacy in…
Designing for Mathematical Literacy: Introducing Exponential Growth Using Critical and Meaningful Problem Contexts
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This department explores the concept of disciplinary literacy—the conceptual understandings and ways of reading, thinking, and writing involved in critiquing and constructing knowledge in a discipline—and its intersections…
We Strive: Initial Explorations of STEM Teachers' Successes and Challenges in Implementing Socioscientific Issues
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This study explores two teachers participating in professional development workshops implementing SocioScientific Issues (SSI) into STEM classrooms. Two research questions were investigated: (a) To what extent did teachers…
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We investigate the algebraic discourse of secondary mathematics teachers with respect to the topic of equation solving by analyzing five teachers’ responses to open-ended items on a questionnaire that asks respondents to…
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The tasks described in this chapter are intended to build connections between these real-world dangers of viral spread and some relevant topics from the secondary mathematics curriculum. We also explore a link between…
Impact of the Design of an Asynchronous Video-Based Learning Environment on Teacher Noticing and Mathematical Knowledge
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In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials.
In this paper, we share the design…
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The resources that multilingual students bring to school mathematics are often ignored. During a teacher-researcher collaborative project focused on creating more equitable learning environments in high school math…
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Professional development that privileges teachers’ voice, equity, and the investigation of high-quality instruction is essential to the mathematics education community. However, more research is needed to understand the…
The Role of Inclusion, Discrimination, and Belonging for Adolescent Science, Technology, Engineering and Math Engagement In and Out of School
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Women and ethnic minoritized individuals are underrepresented in science, technology, engineering, and mathematics (STEM) domains in postsecondary education and in the workforce. The aim of the current study was to examine…
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Narrative as a game design feature constantly yields mixed results for learning in the literature. The purpose of this exploratory mixed-methods case study was to examine design heuristics and implications governing the…
The Centrality of Student-Generated Representation in Investigating Generalizations about the Operations
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This article addresses the nature of student-generated representations that support students’ early algebraic reasoning in the realm of generalized arithmetic.
This article addresses the nature of…
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This study examines technology-enhanced teacher responses and students’ written mathematical explanations to understand how to support effective teacher responding and the centering of students’ mathematical ideas.…
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One challenge facing the fields of mathematics education and special education is how to design instruction on fraction concepts that can meet the needs of diverse learners. An innovation that shows promise is to base…
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To promote understanding of and interest in working with data among diverse student populations, we developed and studied a high school mathematics curriculum module that examines income inequality in the United States…
Sustaining at Scale: District Mathematics Specialists’ Adaptations to a Teacher Leadership Preparation Program
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A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however,…
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This book is about scientific inquiry. Designed for early and mid-career researchers, it is a practical manual for conducting and communicating high-quality research in (mathematics) education. Based on the authors’…
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Why do some mathematics lessons captivate high school students and others not? This study explores this question by comparing how the content unfolds in the lessons that students rated highest with respect to their…
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This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We…
Validating the Use of Student-Level Instruments to Examine Preservice Teachers' Mathematical Problem Solving
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Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems…
Documenting Two Emerging Sociomathematical Norms for Examining Functions in Mathematics Teachers’ Online Asynchronous Discussions
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This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting…
Strengthening Teaching in “Rural,” Indigenous-Serving Schools: Lessons from the Diné Institute for Navajo Nation Educators
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This article reports on the first three years of a teacher-led professional development program on the Navajo Nation. We draw on both quantitative and qualitative data from our end-of-year surveys to highlight some of the…
Examining How Using Dichotomous and Partial Credit Scoring Models Influence Sixth-Grade Mathematical Problem-Solving Assessment Outcomes
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Determining the most appropriate method of scoring an assessment is based on multiple factors, including the intended use of results, the assessment's purpose, and time constraints. Both the dichotomous and partial credit…
Mathematics and Science Teacher Educators' Use of Representations of Practice: A Mixed Methods Study
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This study sought to explore math and science teacher educators' use of various media to represent practice within methods courses. There is little understanding of why certain media is used over other representations and…
Unpacking Response Process Issues Encountered When Developing a Mathematics Teachers’ Pedagogical Content Knowledge (PCK) Assessment
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It is essential for items in assessments of mathematics’ teacher knowledge to evoke the desired response processes – to be interpreted and responded to by teachers as intended by item developers. In this study, we sought…
Vygotskian Hybridizing of Motion and Mapping: Learning About Geometric Transformations in Block-based Programming Environments
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Research on geometric transformations suggests that early learners possess intuitive understandings grounded in motion metaphors, transitioning to mappings. The processes through which students transition between these two…
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In many schools across the world, students experience mathematical concepts as ideas empty of wisdom and possibility. In this paper the authors analyze a philosophical conversation in which fifth-grade students were caught…
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This article presents a vision for 2025 to implement low cost and effective extended reality (XR) technologies to supplement teacher education field experiences, regardless of if and when another global or local crisis…
Preservice Teachers’ Focus in 360 Videos: Understanding the Role of Presence, Ambisonic Audio, and Camera Placement
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Immersive 360 videos are increasingly being used in pre-service teachers (PST) education. There is preliminary evidence that this technology may benefit future educators’ focus and attention to classroom settings and…
Professional Noticing as Student-Centered: Pre-service Teachers’ Attending to Students’ Mathematics in 360 Video
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Teachers’ professional noticing has been described as transitioning from descriptions of general pedagogy to analysis of students’ mathematical procedures and conceptual reasoning. Such a shift is described as a transition…
Investigating the Presence of Mathematics and the Levels of Cognitively Demanding Mathematical Tasks in Integrated STEM Units
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Effective K-12 integrated STEM education should reflect an intentional effort to adequately represent and facilitate each of its component disciplines in a meaningful way. However, most research in this space has been…
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Review of the recent literature on integrated STEM curriculum development and implementation. Included are frameworks for integrated STEM curriculum development and research assessments to evaluate curriculum quality.…
Documenting Professional Learning Focused on Implementing High-Quality Instructional Materials in Mathematics: The AIM–TRU Learning Cycle
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The research contained in this article used qualitative methods to articulate and test the design underlying our professional learning cycle by advancing conjecture mapping, a device by which the embodiments of the design…
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Recent circumstances due to the COVID-19 pandemic and restrictions on entering public schools have created barriers for prospective teachers (PT) to gain valuable exposure to real classrooms. As a result, we have…
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In this paper, we present an overview of the design research used to develop a digital collaborative environment with an embedded problem-based curriculum. We then discuss the student and teacher features of the…
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Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions.
Do your students ever share ideas…
Examining the Influence of COVID-19 on Elementary Mathematics Standardized Test Scores in a Rural Ohio School District
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In the United States, national and state standardized assessments have become a metric for measuring student learning and high-quality learning environments. As the COVID-19 pandemic offered a multitude of learning…
Flip It: An Exploratory (Versus Explanatory) Sequential Mixed Methods Design Using Delphi and Differential Item Functioning to Evaluate Item Bias
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The Delphi method has been adapted to inform item refinements in educational and psychological assessment development. An explanatory sequential mixed methods design using Delphi is a common approach to gain experts'…
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Students need “critical data literacy” skills to help make sense of the multitude of information available to them, especially as it relates to high-stakes issues of social justice. The authors describe two curriculum…
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Civic Statistics by its nature is highly interdisciplinary. From a cross-curricular perspective, teaching and learning Civic Statistics faces specific challenges related to the preparation of teachers and the design of…
Leading for Justice, Leading for Learning: Conceptualizing Urban School Leadership for Antiracist Mathematics Teaching and Learning
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Urban school leaders can support mathematics instruction that acknowledges and sustains students’ racialized and cultured ways of knowing and being. Yet, leadership for racial justice is often discussed separately from…
“Unnatural How Natural It Was”: Using a Performance Task and Simulated Classroom for Preservice Secondary Teachers to Practice Engaging Student Avatars in Scientific Argumentation
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Facilitating discussions is a key approach that science teachers use to engage students in scientific argumentation. However, learning how to facilitate argumentation-focused discussions is an ambitious teaching practice…
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Eliciting and interpreting students’ ideas are essential skills in teaching, yet pre-service teachers (PSTs) rarely have adequate opportunities to develop these skills. In this study, we examine PSTs’ patterns of discourse…
Exploring the Potential of an Online Suite of Practice-Based Activities for Supporting Preservice Elementary Teachers in Learning How to Facilitate Argumentation-Focused Discussions in Mathematics and Science
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This study explored the use of a three-part suite of practice-based activities -- one- and two-player online simulations, an avatar-based simulation, and a virtual teaching simulator—for supporting preservice teachers in…
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Adopting a pretest–posttest experimental design with repeated measures, this study examined the effects of three types of game-based learning supports in the form of modeling on knowledge development that contributed to…
Exploring Students’ Learning Support Use in Digital Game-based Math Learning: A Mixed-Methods Approach Using Machine Learning and Multi-cases Study
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Digital game-based math learning environments (math DGBLE) are promising platforms that provide students with opportunities to master conceptual understanding and cultivate mathematical thinking, on which the contemporary…
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Although prior research has highlighted the significance of representations for mathematical learning, there is still a lack of research on how students use multimodal external representations (MERs) to solve mathematical…
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This webinar provided early career data science education researchers with information on the state of the field; tools, curricula, and other resources for researchers; and insight into funding opportunities and proposal…
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Questions regarding the construction of mathematical authority have implications for learning, specifically for students’ views of themselves as mathematics learners and doers with valuable contributions. We consider the…
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This report takes stock of what we currently know as well as what we need to know to make classroom assessment maximally beneficial for the teaching and learning of STEM subject matter in K–12 classrooms…
Comparing How College Mathematics Instructors and High-School Teachers Recognize Professional Obligations of Mathematics Teaching when Making Instructional Decisions
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This paper investigates how mathematics instructors' recognition of the professional obligations of mathematics teaching varies based on their institutional environment, specifically whether they teach high school or…
Intersections of Teacher Noticing and Culturally Sustaining Pedagogy: A Conceptual Framework to Inform the Design of Teacher Learning
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Teacher noticing scholars are just beginning to explore how to support noticing that is responsive to students' cultural resources. The theoretical basis of the teacher noticing literature affords scholars a range of paths…
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This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-…
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We developed an analytic framework related to the suggestions coaches provided to mathematics teachers as they engaged in content-focused coaching cycles. We analyzed 712 suggestions from nine coaches and 58 coaching…
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Reform efforts in science and mathematics education highlight students’ experiences and sensemaking repertoires as valuable resources for instruction. Yet, there is much to learn about how to cultivate teachers’ capacity…
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Mathematical modeling (MM) - a cyclical process that involves using mathematics to make-sense of and analyze relevant, real-world situations - has the potential to advance equity and challenge spaces of marginalization in…
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Arts-integration is a promising approach to building students’ abilities to create and critique arguments with data, also known as informal inferential reasoning (IIR). However, differences in disciplinary practices and…
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This counterstory (Delgado, 1989; Martinez, 2020) is based on field notes (Oct. 19 & Nov. 1, 2022) from our collective’s ethnographic project working with upper elementary Latiné learners and their transition to middle…
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Despite interest in how students’ implicit theories—their growth and fixed mindsets about their own learning—affect students as learners, relatively little research on mindset has looked at teachers as learners. This study…
Reasoning About Data in Elementary School: Student Strategies and Strengths when Reasoning with Multiple Variables
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The need for data literacy is an increasingly pressing priority in society, but most of the work in data-centred education has focused on developing skills at the middle school, secondary, and post-secondary levels, with…
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This study examines secondary mathematics teachers’ anticipations of student responses related to a series of cognitively demanding mathematics tasks from multiple mathematical domains presented in the context of voluntary…
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A School Science and Mathematics Journal editorial.
Bostic, J. (2023). Engaging hearts and minds in assessment research. School Science and Mathematics Journal, 123(6), 217-219. https://doi.org/10.1111/…
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This poster presents findings from design and early implementation work of the NSF DRK-12 project which positions 6th and 7th grade students as decision makers in their own learning, integrating culturally responsive…
Elementary Preservice Teachers' Responsiveness While Eliciting Students' Initial Arguments and Encouraging Critique in Online Simulated Argumentation Discussions
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Limited research has explored elementary preservice teachers' responsiveness while navigating an argumentation-focused discussion, particularly in an online simulated teaching experience. The purpose of this study was…
Preservice Teachers Noticing and Positioning Students as “Knowers” in Equitable Scientific Argumentation-based Discussions
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This study investigated how preservice elementary teachers' (PSTs) noticed the discourse practices they used to position students and their scientific thinking as they engaged a group of student avatars in argumentation-…
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TU professor studies avatar-based classroom simulations in three-year, $3 million NSF grant.
TU professor studies avatar-based classroom simulations in three-year, $3 million NSF grant.
Kirkman, R. (…
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In this article, we describe our implementation of an innovative approximation of practice in teacher education: chat-based role-play. In so doing, we share our collective experiences as teacher educators about how the…
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In this report section, we discuss the importance of aligning classroom assessments with learning goals and instructional practices to both shape and evaluate students’ learning opportunities.
In this…
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This article offers spatial reasoning math activities for school and home learning.
Perry, L., Kuehnert, E., & Ketterlin-Geller, L. R. (2022). Promoting spatial orientation: A math activity for…
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Cognitive interviews play an important role in articulating the intended construct of educational assessments. This paper describes the iterative development of protocols for cognitive interviews with kindergarten through…
The Development and Validation of a Survey Measuring Opportunity to Learn Spatial Reasoning Skills at Home
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The early development of spatial reasoning skills has been linked to future success in mathematics, but research to date has mainly focused on the development of these skills within classroom settings rather than at home.…
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Collaborative partnerships between families and teachers have the potential to support and transform students’ mathematics learning experiences. This study focused on interactions among mothers and teachers of multilingual…
Multilingual Classrooms: Development of an Observational Analytic Tool to Examine Mathematics Instruction
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This brief research report describes the refinement and testing of an observational rubric designed to identify and assess elements of classroom mathematics instruction that research has found to support multilingual…
Scaling STEM-ID—Research Strategies to Inform Initial Scaling of Middle School Engineering Curricula
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This work-in-progress paper discusses a three-year middle school Engineering and Technology course sequence that integrates foundational mathematics and science in an engineering context through challenges that introduce…
Characterizing Mathematics Teacher Learning Patterns Through Collegial Conversation in a Community of Practice
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We examined secondary (6-12) mathematics teachers’ participation in a professional development (PD) model where they collectively investigated video cases of students engaging with ambitious instructional materials. We…
Justice-Centered STEM Education with Multilingual Learners: Conceptual Framework and Initial Inquiry into Pre-service Teachers’ Sense-Making
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Our conceptual framework for justice-centered STEM education engages all students in multiple STEM subjects, including data science and computer science, to explain and design solutions to pressing societal challenges and…
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This section presents an overview of critical developments in technology-driven, classroom-based innovative assessment practices. It uses a framework organized around cognitive constructs, assessment functionality, and…
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Teachers are increasingly participating in RPPs with the goal of improving their schools and districts. However, we know little about what teachers learn from their involvement in RPPs. This study explores teacher learning…
Language Systematizes Attention: How Relational Language Enhances Relational Representation by Guiding Attention
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Language can affect cognition, but through what mechanism? Substantial past research has focused on how labeling can elicit categorical representation during online processing. We focus here on a particularly powerful type…
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Given the importance of early mathematics to academic success in all subjects, children need and deserve to build a robust knowledge of early math concepts in their earliest years. In this chapter, we consider the approach…
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EDC's Young Mathematicians kits provide teachers and parents with games that are fun, spark conversations about math and provide rich learning opportunities.
EDC's Young Mathematicians kits provide…
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Build a classroom community by building representations and visualizations of data related to students’ names.
Build a classroom community by building representations and visualizations of data related…
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This is the project-created training course for new users to learn about the STEM-OP and how to use it.
This is the project-created training course for new users to learn about the STEM-OP and how to…
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Apps for examining proportional relationships of various kinds.
Apps for examining proportional relationships of various kinds.
Mathematics
Curriculum…
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Repository of project simulation tasks and data.
Repository of project simulation tasks and data.
Mathematics
Science
Classroom Practice…
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This book is a guide for K-12 school leaders and educators who are planning to implement new bilingual and dual language (BDL) elementary programs for multilingual learners in the United States, focusing on the integration…
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Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for…
Evaluating How Extended Reality Delivery Device and Preservice Teacher Major Impact Presence in Immersive Learning Environments
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Teacher education has begun to embrace the use of 360 videos to improve preservice teachers' (PSTs) engagement and immersion. While recent research on such use is promising overall, there are specific questions that have…
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Professional noticing involves attending to and interpreting children’s mathematical reasoning. In a similar manner, pedagogical content knowledge (PCK) is defined as the knowledge teachers need to interpret and respond to…
Exploring the Relationships Between Teacher Noticing, Ambisonic Audio, and Variance in Focus When Viewing 360 Video
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A growing body of research has supported the implementation of innovative and immersive video for teaching and learning across the lifespan. Immersive video, delivered through eXtended Reality (XR) tools like 360 video,…
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Unified systems for multi-sensor devices, particularly eye-tracking in Virtual Reality (VR), are intricate and often require the listening and streaming of multichannel data. In this project, we propose a visual analysis…
Using Fitbits and Heart Rate Variance (HRVa) to Understand Preservice Teacher Experiences in Extended Reality
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Extended reality (XR) is increasingly used to support preservice and inservice teacher training. Its use in teacher education has shown promise in improving future educators’ engagement, self-confidence, and noticing…
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The author describes an innovative approach to assessment that aims to blend the productive characteristics of both summative and formative assessment. The resulting assessment system is accountable to students and…
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This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is…
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In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT).
In this article, we explore demands and tensions involved when schools implement…
Validity Evidence of the Use of Quantitative Measures of Students in Elementary Mathematics Education
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This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and…
Shining Light on Preschool Science Investigations: Exploring Shadows and Strengthening Visual Spatial Skills
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Young children are naturally interested in light and shadows, thus providing a meaningful context to introduce preschool science investigations. As children explore how shadows are made and change, they also have…
Toward a Better Understanding of the Nature of Pedagogical Content Knowledge for Fractions: The Role of Experience
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Mathematical knowledge for teaching (MKT) is a professional knowledge crucial for effective mathematics instruction, encompassing both content knowledge (CK) and pedagogical content knowledge (PCK). The purpose of this…
“I Really Got to Think About My Background, Their Background, and How Do We Come Together on Something?”: One Emergent Mathematics Teacher Leader's Reflexive Journey with Social Justice Mathematics
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This 2-year qualitative case study focuses on one emergent mathematics teacher leader, Mr. Miller, and his conceptualization of Social Justice Mathematics (SJM). SJM is a justice-oriented pedagogical approach where…
Investigating the Complexity in Elementary Teachers’ Noticing of Children’s Mathematical Thinking in Written Work
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This study investigated upper elementary teachers’ framings of their students’ mathematical thinking in written across the three component skills of noticing. Drawing on a situated perspective, the research examines the…
Supporting Students’ Participation in Collective Argumentation: Use of Displays in a Secondary Mathematics Classroom
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Thoughtful and purposeful displays can support students’ participation in argumentation. This report addresses how displays are used within collective argumentation. We examined a secondary mathematics teacher’s and her…
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In conversations about pedagogy, researchers often overlook how physical space and movement shape teacher sensemaking. This article offers a comparative case study of classroom videos using a dynamic visual method to map…
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This site provides three online activities focused on covariational reasoning as a foundation for middle school students to build more abstract algebraic knowledge. These tasks provide students with opportunities to…
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This site offers professional learning materials for teachers, including a Responsive Mathematics Teaching Toolkit and Lesson Planning and Analyzing Tools.
This site offers professional learning…
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Seeds of Algebraic Thinking are sub-conceptual resources coming from life experience that students call upon when responding to mathematical prompts. This site includes resources students could activate when thinking about…
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This resource collection offers practical measures and guidance for instructional improvement in mathematics teaching. These include measures for use in classrooms, collaborative professional learning, and one-on-one…
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This collection of Responsive Math Teaching (RMT) professional learning resources includes the RMT model, planning and coaching protocol, lesson plan templates, and frameworks for discussing learner thinking and…
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This gallery contains 12 community-based mathematical modeling lessons for use in the elementary grades. Also available are math modeling vignettes, a Culturally Responsive Mathematics Teaching (CRMT) framework, and other…
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This collection provides K-12 math and science curriculum units and practice guides authored by INE educators, as well as culturally responsive resources for educators and counselors.
This collection…
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StoryMaker is a powerful learning platform developed by PBS NewsHour Student Reporting Labs to build the next generation of media creators through media-making projects. These lesson plans and activities provide a strong…
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The Transition to Algebra (TTA) curriculum seeks to quickly give students the mathematical knowledge, skills, and confidence to succeed in a standard first-year algebra class and to show them that they can explore…
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These professional learning modules are designed for use by teacher educators, professional development facilitators, teacher leaders, school or district leaders, family engagement coordinators, and those in similar roles…
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These resources are designed to help put high-quality, equitable math instruction into practice. The VISIONS Project fosters collaboration among state, district, and school-based leaders; mathematics teachers;…
Transforming Learning Opportunities in Linguistically Diverse Secondary Classrooms Through Promoting Discussions: Results of an Intervention
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This article presents results from a design experiment intended to develop students’ understanding of linear functions and rates of change in a linguistically diverse ninth grade classroom. The intervention focused on…
Does Use of a Hypothetical Learning Progression Promote Learning of the Cardinal-Count Concept and Give-n Performance?
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The general aim of the research was to conduct a rare test of the efficacy of hypothetical learning progressions (HLPs) and a basic assumption of basing instruction on HLPs, namely teaching each successive level is more…
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Although there has been increasing attention to the importance of teacher agency in professional development, there has been little attention to what it takes to facilitate collaborative work that both centers teachers’…
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The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had…
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This report characterizes forms of dialogic support that a sixth-grade teacher generated during whole-class and small-group conversations to help students develop a practice of statistical modeling.…
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Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the…
Middle School Mathematics Teachers’ Proportional Reasoning and Its Relation to Their Content and Pedagogical Content Knowledge
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Proportional reasoning is an important but challenging skill for students and teachers. This article, presents findings from two studies investigating whether four categories of reasoning identified by Copur-Gencturk et al…
An Analysis of Unexpected Responses in Middle School Students’ Mathematical Problem Posing from the Perspective of Problem-Posing Processes
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Using data from a problem-posing project, this study analyzed the characteristics of middle school students’ responses to problem-posing prompts that did not match our assumptions and expectations to better understand…
Equity-Focused, Rubric-based Coaching: An Incremental Improvement Approach to Supporting Teachers to Shift Toward More Equitable Mathematics Instruction
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This article considers how school-based mathematics coaches can support teachers to make incremental shifts toward more equitable instruction. We describe a coaching model designed to include elements of incremental…
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Mathematics coaching differs significantly from mathematics teaching, and many coaches transition to the role directly from teaching with limited opportunities to learn to work effectively with teachers. Although coach…
Mathematics Teacher Persistence in Online Professional Development: Emerging (Mis)alignments Between Instructional Expectations and Professional Development Utility
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Sustained professional development is critical to support mathematics teachers’ development of ambitious instructional practices. This study aimed to better understand the factors and conditions that impact mathematics…
Teachers as Agentic Synthesizers: Recontextualizing Personally Meaningful Practices from Professional Development
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Teacher learning from professional development (PD) remains undertheorized. Most PD studies focus on its content or structure to gauge learning, leaving substantive gaps in our understanding of teacher learning processes…
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Professional development (PD) for mathematics teachers often emphasizes transformative instructional change. However, a more modest, incremental approach may offer a higher likelihood of success in ways that complement…
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In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research…
Teacher Educators’ Use of Formative Feedback During Preservice Teachers’ Simulated Teaching Experiences in Mathematics and Science
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The purpose of this research study was to identify how teacher educators (TEs) attend to and use formative feedback as they work to support preservice teachers’ (PSTs’) learning. The formative feedback was provided to the…
The Design and Implementation of a Bayesian Data Analysis Lesson for Pre-Service Mathematics and Science Teachers
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With the rise of the popularity of Bayesian methods and accessible computer software, teaching and learning about Bayesian methods are expanding. However, most educational opportunities are geared toward statistics and…
Unpacking the Nuances: An Exploratory Multilevel Analysis on the Operationalization of Integrated STEM Education and Student Attitudinal Change
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Integrated STEM education (iSTEM) is recognized for its potential to improve students’ scientific and mathematical knowledge, as well as to nurture positive attitudes toward STEM, which are essential for motivating…
Mathematics Teacher Educators’ Navigational Expertise When Designing Multimodal Representations of Practice: A Semiotic Analysis
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Critical elements of the expertise of mathematics teacher educators (MTE) can be identified in the artifacts they design for working with prospective teachers (PT), specifically for engaging PT in the double role of…
Best of Both Worlds: Developing an Innovative, Integrated, Intelligent, and Interactive System of Technologies Supporting In-Person and Digital Experiences for Early Mathematics
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Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing…
Employing Automatic Analysis Tools Aligned to Learning Progressions to Assess Knowledge Application and Support Learning in STEM
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We discuss transforming STEM education using three aspects: learning progressions (LPs), constructed response performance assessments, and artificial intelligence (AI). Using LPs to inform instruction, curriculum, and…
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Learning trajectories in early mathematics instruction have received increasing attention from policymakers, educators, curriculum developers, and researchers. They are generally deemed useful for guiding curriculum…
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A classroom study was conducted to understand how to engage in responsive teaching with 18 seventh grade students at three stages of units coordination during a unit on proportional reasoning co-taught by the first author…
Exploring Teachers’ Eye-Tracking Data and Professional Noticing When Viewing a 360 Video of Elementary Mathematics
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Research incorporating either eye-tracking technology or immersive technology (virtual reality and 360 video) into studying teachers’ professional noticing is recent. Yet, such technologies allow a better understanding of…
Toward a Framework of Culturally Relevant Science and Mathematics Pedagogy: A Pedagogical and Analytical Tool for Teacher Education
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In this article, we present a framework of culturally relevant science and mathematics pedagogy (CRSMP), which is grounded in the tenets of culturally relevant pedagogy. It delineates practices ranging from the most…
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Socioscientific issues (SSI) are problems involving the deliberate use of scientific topics that require students to engage in dialogue, discussion, and debate. The purpose of this project is to utilize issues that are…
Speak Up or Stay Silent: How Does Teachers’ Verbal Participation in a Professional Development Programme Relate to Instructional Outcomes?
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Like classrooms, professional development (PD) workshops can be organised as dialogic and inclusive spaces, where the verbal contributions of the participants are critical for driving the inquiry and meeting the intended…
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Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader…
STEM Teacher Characteristics and Mobility: Longitudinal Evidence from the American Midwest, 2010 Through 2023
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This study examines the demographics, qualifications, and turnover of STEM teachers in Kansas and Missouri—two contiguous, predominantly rural states in the Midwestern region of the United States. The existing literature…
Expanding Uses of the STEM Observation Protocol (STEM-OP): Secondary Science Teachers’ Reflections on Integrated STEM Practice
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There are few guidelines related to how to implement integrated STEM education in the K-12 science classroom. It is important that teachers have opportunities to reflect on integrated STEM instruction when implemented so…
Fostering Critical Consciousness: A Systematic Review of K-12 Teachers’ Integrations of Sociopolitical Issues in Science and Mathematics Classrooms
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Efforts towards providing inclusive science and mathematics education for marginalized students are increasingly found in literature advocating for equity-oriented instruction through supporting students’ critical…
Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change
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Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students’ cognitive and affective aspects of…
A Usability Analysis and Consequences of Testing Exploration of the Problem-Solving Measures–Computer-Adaptive Test
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Testing is a part of education around the world; however, there are concerns that consequences of testing is underexplored within current educational scholarship. Moreover, usability studies are rare within education. One…
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There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area…
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We describe the development of a visual model to represent the implementation of an ambitious mathematics program, which serves as an example of a complex educational reform.
We describe the development…
Integrating Math and Science Through Engineering: Illustrative Examples from Curricula Implementation in Middle School Engineering Classrooms
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Engineering has emerged as a promising context for STEM integration in K-12 schools. In the previous decade, the field has seen an increase in curricular resources and pedagogical approaches that invite students to utilize…
Lesson Study with Caregivers as a Resource for a Culturally Sustaining Mathematics Pedagogy for Multilingual Learners
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Research has affirmed the importance of asset-based family partnerships, yet it does not often recognize the complementary roles of multilingual caregivers and teachers to enact culturally sustaining mathematics education…
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General educators rarely receive adequate training for supporting students with disabilities (SWDs). We suggest a key contributing factor is the longstanding gap between special and general education researchers, which is…
“We Have a Lot in Common”: Mothers’ and Teachers’ Perspectives on Barriers and Pathways to Mathematical Partnerships
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This study examined parents’ and teachers’ perspectives about the barriers and pathways to the development of home–school mathematics partnerships and how to move from barriers to pathways.
This study…
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In this mixed-methods study, we introduce an activity-based perspective on mathematical authority that considers who leads mathematical activities in a classroom. Our framework for mathematical authority extends existing…
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We present findings from an analysis of tests of teacher mathematical knowledge identified over a 20-year period of mathematics education literature, and report on how these tests are discussed in the literature, with a…
Connecting Expertise in Noticing Children’s Mathematical Thinking and Conducting Whole-Class Discussions
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Grounded in a vision of teaching that is responsive to children’s mathematical thinking, we investigated connections between teachers’ expertise in noticing children’s thinking and their centering of children’s thinking in…
Discursive Differences in Written Feedback of Individuals with Varied Teaching Experiences: Towards Validating Knowledge of Content and Teaching Specific to Proof
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Fostering student engagement with mathematical reasoning and proving requires a special kind of teacher knowledge – Mathematical Knowledge for Teaching Proof (MKT-P). One important component of MKT-P is Knowledge of…
Seeing Our World Through Data: Sixth Graders Integrating Data Investigations in Collaborative Knowledge Building
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Prior research has explored innovative ways to introduce data science to young learners, emphasizing not only the development of data skills but also the connection of data science to students’ authentic inquiries and…
Supporting Multilingual Students’ Mathematical Discourse Through Teacher Professional Development Grounded in Design-based Research: A Conceptual Framework
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This conceptual paper presents a framework for supporting multilingual students’ mathematical discourse through teacher professional development grounded in design-based research (DBR). Drawing on sociocultural learning…
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We explore how a professional development program enabled educators to stretch their ideas related to equitable participation in elementary mathematics classrooms, and their district's policy aimed at promoting equitable…
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For the promotion of youth voice to be successful, out-of-school-time (OST) program facilitators and classroom teachers need a common understanding of what quality looks and sounds like and support for implementing higher-…
Mathematics Teachers’ Interpretations of Students’ Perceptions of the Classroom Learning Environment: Opportunities for Inquiry
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Guided by an interpretive perspective on teaching and the literature on mathematics teachers’ professional learning, this study explores U.S. middle-grades mathematics teachers’ interpretations of evidence of students’…
The Interplay Between Teacher Professional Development and Noticing: An Analysis of How Noticing Changes and What Teachers Attribute to Changes or Consistencies
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Noticing is often studied at one time point or with a focus on how one notices a particular practice. Fewer studies have focused on how noticing shifts from before to after professional development (PD), and researchers…
The Role of Discrimination and Barriers in the Perceptions of Adolescents With and Without Disabilities of STEM Classes and Jobs
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In STEM (science, technology, engineering, and math) fields, people with disabilities are underrepresented. This study aimed to determine what barriers might prevent students with and without disabilities from pursuing…
Ways Researchers Can Use Teacher Noticing to Inform the Conceptualization of a Complex Teaching Practice
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Prior research has examined teachers’ noticing in order to understand what factors affect teacher noticing and how mathematics teacher educators can support that noticing. We contend, however, that analyzing teachers’…
Building Instructional Capacity and Creating Opportunities for Professional Growth: Mathematics Professional Development for Paraeducators
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Paraeducators provide essential academic support for young learners of mathematics. However, they have limited opportunities to engage in professional development (PD) that is responsive to their instructional needs and…
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This paper explores the tensions—or discontinuities—that arise when designing for educational improvement at scale through research-practice partnerships (RPPs). Focusing on a statewide mathematics education initiative,…
Enhancing Mathematical Instruction for Emergent Bilinguals Through Collaborative Situated Professional Development
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This study investigates the shifts in high school mathematics teachers’ instructional practices when working with emergent bilinguals (EBs) after participating in a collaborative situated professional development (CSPD)…
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The significance of children’s mathematical competence during the early years is well established; however, the methods for developing such competencies remain less understood. Specifically, there is a need to identify…
Leveraging Children’s Multicultural Literature to Support Students’ Math Identity and Problem Solving
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This article explores how multicultural children’s literature for elementary classrooms can be leveraged to develop students’ mathematical understanding and foster positive math identities, particularly for multilingual…
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Over the last decade, reform in science education has placed an emphasis on the science practices as a way to engage students in the process of science and improve scientific literacy. A critical component of developing…
Pathways into the CTE Teaching Profession: A Descriptive Analysis of Degrees, Licenses, and Race in Maryland
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Despite significant interest in Career and Technical Education (CTE), little is known about CTE teachers. Using ten years of Maryland administrative data, we find that almost one-fifth of CTE teachers enter the profession…
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Williams, M. M. & Casa, T. M. (2011/2012). Connecting class talk with individual student writing. Teaching Children Mathematics, 18(5), 314-321.
When first graders seemed to understand symmetry, their teacher…
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Stahl, G. (2012a). Designing a learning environment for promoting math discourse. Paper presented at the 12th International Conference on Mathematical Education.
ABSTRACT:
Mathematics education in the future faces…
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Stahl, G. (2012c). Evaluating significant math discourse in a learning environment Paper presented at the 12th International Conference on Mathematical Education. Seoul, Korea.
To mathematicians since Euclid, math…
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In this theoretical research paper we describe a collaborative effort between researchers and university faculty to improve how teachers are prepared to teach middle school mathematics.
Courey, S.J.,…
Engaging Pre-service and Inservice Teachers in Middle School Mathematics: Using Dynabook to Shape Unconventional College Classrooms
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Courey, S. J., LePage, P., Siker, J. R., Blackorby, J. (2012). Engaging Preservice and Inservice Teachers In Middle School Mathematics: Using Dynabook to Shape Unconventional College Classrooms. Society for Information…
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Chiu, J. & Linn, M. C. (2011). Knowledge Integration and WISE Engineering. Journal of Pre-college Engineering Education, 1(1), 1-14.
ABSTRACT:
Recent efforts in engineering education focus on introducing engineering…
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On February 10th, 2012, five Fellows presented on the work of their projects. Many thanks to the presenters and to the audience of Fellows who followed up each presentation with great questions and discussion.
Due to…
Supporting Implementation of the Common Core State Standards for Mathematics: Recommendations for Professional Development
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In 2010, the National Governor’s Association and the Council of Chief State School Officers published theCommon Core State Standards for Mathematics (CCSSM) and to date, 44 states, the District of Columbia,and the U.S.…
Compendium of Research Instruments for STEM Education, PART I: Teacher Practices, PCK, and Content Knowledge
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The purpose of this compendium is to provide an overview on the current status of STEM instrumentation commonly used in the U.S and to provide resources for research and evaluation professionals. Part 1 of a two-part…
Partnering with Users to Develop STEM Education Materials: Insights from Discovery Research K-12 Projects
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This brief suggests practical ways of engaging teachers and other “end-users” in projects that develop materials for education in the areas of science, technology, engineering, and math (STEM). Projects described in this…
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This article examines a collaborative study group's discussions about “revoicing,” an idea from linguistics that has been identified as an important discourse strategy in the teaching of mathematics as well as other…
A Comparison of Representations of Units of Length: A Microgenetic Analysis (Cullen, Barrett, Sarama, Clements)
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Mathematics
Science
Presentation
Elementary
Cullen, C.
Barrett, J…
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This session describes a suite of instruments for measuring implementation of instructional materials and ways those instruments have been adapted to other materials and interventions…
A Longitudinal Analysis of Unit Iteration Concepts for Length, Area, and Volume (Grades 2-4) (Barrett et al.)
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Mathematics
Presentation
Elementary
Barrett, J.
Cullen, C.
Witkowski, C…
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Join the panelists from the plenary presentation to continue conversations about common standards in each of the STEM disciplines.
Assessment
Curriculum
Equity…
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In this article, we describe aspects of mathematical language that could be problematic to English-language learners, provide recommendations for teaching English-language learners, and suggest activities intended to…
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Working from a large corpus of transcripts from secondary mathematics classrooms, we identify patterns of speech that encode interpersonal positioning. We extend our analysis from a previous article (Herbel-Eisenmann,…
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Loving, C. C., Schroeder, C., Kang, R., Shimek, C., & Herbert, B. (2007). Blogs: Enhancing links in a professional learning community of science and mathematics teachers. Contemporary Issues in Technology and Teacher…
Building and Validating a Learning Trajectory for Children's Measurement (Barrett, Sarama, Clements)
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Mathematics
Presentation
Elementary
Barrett, J.
Sarama, J.
Clements, D…
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Mathematics
Teacher Practice
Presentation
Middle
Debra I. Johanning…
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Mathematics
Learning Progression
Presentation
Elementary
Barrett, J…
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Mathematics
Gaming/Virtual Environments
Presentation
Middle
High
William Finzer…
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By synthesizing what has been learned with regard to critical dimensions of mathematics classroom teaching and learning, and investigating the ways teachers and other school personnel characterize high-quality mathematics…
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Professional development environments that include digital video allow for the examination of children at work, opportunities to look at students over time, and analysis of the teacher’s decision making. This observation…
Developing Algebra-ready students for Middle School: Exploring the Impact of Early Algebra (Blanton, Knuth)
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This is a 3-year project designed to build the preliminary components for investigating the impacts of early algebra education on students’ algebra readiness in middle grades.
Algebra…
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The National Science Foundation (NSF) Division of Research on Learning in Formal and Informal Settings (DRL) maintains a portfolio of complementary programs aimed at improving science, technology, engineering, and…
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This chapter focuses on research that can inform the improvement of mathematics teaching and learning at scale. In educational contexts, improvement at scale refers to the process of taking an instructional innovation that…
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This report is an overview of the projects in the DR K-12 portfolio.
This report is an overview of the projects in the DR K-12 portfolio.
Engineering…
Educational Game Design Model at NMSU Learning Games Lab (Part of the Gaming to Learn Panel at 2010 K12 PI Meeting)
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Barbara Chamberlin, with the NMSU Learning Games Lab, shares the Educational Game Design model developed at NMSU. The educational development studio involves content experts and game developers in their game design process…
Educational Game Design Model at NMSU Learning Games Lab (Part of the Gaming to Learn Panel at 2010 K12 PI Meeting)
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Barbara Chamberlin, with the NMSU Learning Games Lab, shares the Educational Game Design model developed at NMSU. The educational development studio involves content experts and game developers in their game design process…
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The Role of the Institutional Setting in Teachers’ Development of Ambitious Instruction in Middle School Mathematics
Kara Jackson, Paul Cobb, and Kristin McGraner, Vanderbilt University
Three DR-K12 projects report…
Establishing and Nurturing Effective Partnerships among University Faculty, Public School Administrators, and Classroom Teachers (Boger, Davis, Liles)
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Content Mentoring of Middle Grades Math and Science Teachers and Its Impact on Teaching Efficacy: Establishing and Nurturing Effective Partnerships among University Faculty, Public School Administrators, and Classroom…
Evaluating and Improving a Learning Trajectory for Linear Measurement in Elementary Grades 2 and 3: A Longitudinal Study
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We examined children’s development of strategic and conceptual knowledge for linear measurement. We conducted teaching experiments with eight students in grades 2 and 3, based on our hypothetical learning trajectory for…
Evaluation of a Developmental Progression for Length Measurement using the Rasch Model (Clements, Sarama, Barrett, Cullen, van Dine)
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This is a research paper presentation.
Mathematics
Measurement
Learning Progression
Presentation…
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The Role of the Institutional Setting in Teachers’ Development of Ambitious Instruction in Middle School MathematicsKara Jackson, Paul Cobb, and Kristin McGraner, Vanderbilt University
Three DR-K12 projects report findings…
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This practice brief makes a case for substantive partnerships between STEM education R&D projects and districts and schools.
Produced by a CADRE work group of NSF-supported researchers and…
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Mathematics
Presentation
Elementary
McCool, J.
Cullen, C.
Barrett, J…
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Mathematics
Presentation
Other
Babette Moeller
2009
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The minus sign is a mathematical symbol that is multi-functional. Yet, how often is its use explicit to the non-mathematician, or more importantly the learner, who is expected to interpret the symbolism appropriately, when…
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DRK–12 projects at all stages, from early design work through completion, can benefit from an awareness and understanding of the challenges of knowledge use, so that what is designed can be suitably adapted and scaled…
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Classroom Practice
Mathematics
Pedagogical Content Knowledge
Teacher Practice
Presentation
Elementary…
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Mathematics
Presentation
Elementary
Middle
David Yopp
Elizabeth Burroughs…
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Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited, especially compared to topics such as number and operations. To contribute to the…
Investigating How Setting Up Cognitively Demanding Tasks is Related to Opportunities to Learn in Middle-Grades Mathematics Classrooms
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In this paper we focus on what happens when a task is first introduced to students as a crucial phase of instruction. We report on an empirical study of 132 middle grades mathematics teachers' instruction—in particular,…
Learning to Teach Mathematics in Urban High Schools: Untangling the Threads of Interwoven Narratives
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In this article, the authors explore learning about equity pedagogy in mathematics by focusing on the experiences of a teacher and teacher educator within the Centering the Teaching of Mathematics on Urban Youth…
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Shared in three sessions (Gaming Arcade, Interactive Visualizations-Simulations-and Games, and Friday morning poster session), this poster addresses the gaps identified in the Math Snacks project, and the approach to…
Mathematics Teachers Teaching English Language Learners: What Knowledge Do They Need? (Driscoll, Heck, Chval)
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Mathematics teachers of English language learners (ELLs) are increasingly expected to help ELLs learn academic language. This session focuses on the question, What knowledge do teachers of mathematics need in order to…
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In this article, we present an analytical approach for documenting the identities for teaching that mathematics teachers negotiate as they participate in two or more communities that define high-quality teaching…
Negotiation of the "presence of the text": How might teachers' language choices influence the positioning of the textbook?
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Chapter in Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction.
Chapter in Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom…
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In this pdf are STEM education networks and social media sources that may be of interest to DR-K12 grantees for the purposes of (1) disseminating knowledge and products and (2) developing partnerships with…
Plenary Presentation: The Opportunity Equation: Transforming Mathematics and Science Education for Citizenship and the Global Economy (Cahill)
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Cahill discusses the Carnegie-Institute for Advanced Study Commission on Mathematics and
Science Education’s recent report in which they challenge the nation to mobilize for coordinated action so that all students—not just…
Prepare and Inspire: K-12 Education in Science, Technology, Engineering, and Math (STEM) for America's Future
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America is home to extraordinary assets in science, engineering, and mathematics that, if properly applied within the educational system, could revitalize student interest and increase proficiency in these subjects and…
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In this session, participants discuss knowledge synthesis in process regarding STEM teachers’ participation in professional learning communities: What have we learned and what are the implications for other NSF projects…
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The construct professional noticing of children’s mathematical thinking is introduced as a way to begin to unpack the in-the-moment decision making that is foundational to the complex view of teaching endorsed in national…
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How important is discourse in the mathematics classroom? Interest in this question has grown dramatically as mathematics education has recognized the role of communication in understanding. This book presents portraits of…
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With our conceptualization of Harré and van Langenhove’s (1999) positioning theory, we draw attention to immanent experience and read transcendent discursive practices through the moment of interaction. We use a series of…
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Note: A previous version of this paper was presented at the National Council of Teachers of Mathematics Research Pre-Session in San Diego (April 2010) and the Annual Meeting of the American Educational Research Association…
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As part of the Data Games project, we are researching how students record and organize multivariate data. This research is informing the design of new software interfaces for Fathom and TinkerPlots that will allow students…
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Mathematics
Science
Professional Development
Presentation
Middle
Pradeep M. Dass…
SGER: Assessing the Educational, Career and Social Impacts of the XO Laptop Program in Birmingham, AL City Schools (Cotten)
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The goal of this study is to assess the educational, career, and social impacts of disseminating an innovative technology, the XO laptop computer, to minority 4th and 5th grade students in Birmingham City Schools (BCS) in…
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Join the panelists from the plenary presentation to continue conversations about common
standards in each of the STEM disciplines.
21st Century Skills
Engineering…
Resource
Cullen, C. J., & Barrett, J. E., (2010) Strategy use indicative of an understanding of units of length. In M. Pinto & T. Kawasaki (Eds.), Proceedings of the 34th Annual Conference of the International Group for the…
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“Help! I’m stuck!” How many times have you heard a student make a similar plea? What do you consider when deciding how to respond? What reasoning is most productive? As part of a large research project, we explored these…
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This paper describes Supporting Research, Service and Teaching in Mathematics Education, or STaR, is a program designed to support new faculty who have taken a tenure-track mathematics education position in a U.S.…
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Many assume that better-quality teachers will lead to improvements in the quality of teaching and,thus, student outcomes. Over the past decade, a program has been developed of research around measuring key components of…
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This session considers teachers’ transitions from teacher-centered mathematics to student-centered mathematics, including issues of meaning, coherence, and learnability, as well as the importance of working with colleagues…
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Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. At TEDxNYED, Dan Meyer shows classroom-…
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Poster presented at the DRK-12 Principal Investigators Meeting in Washington, DC.
Mathematics
Presentation
Middle…
The Role of the Institutional Setting in Teachers’ Development of Ambitious Instructional Practices in Middle-Grades Mathematics (Jackson, Cobb, McGraner)
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Three DR-K12 projects report findings on aspects of the institutional setting of teaching that affects teachers’ development of ambitious instructional practices in middle-school mathematics.…
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Thinking with Data (TWD) is an Instructional Materials Design (IMD) project which developed and tested a cross-curricular unit designed to cultivate middle school students’ deep understanding of data literacy. The TWD unit…
Towards an Empirically Grounded Theory of Action for Improving the Quality of Mathematics Teaching at Scale
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Our purpose in this article is to propose a comprehensive, empirically grounded theory of action for improving the quality of mathematics teaching at scale. In doing so, we summarize current research findings that can…
Understanding the Fidelity of Implementation and Scalability of Mathematics Professional Development Curricula (Moeller, Seago, Borko)
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Three DR-K12 projects investigating the implementation of mathematics professional
development programs by district-based facilitators discuss with participants their approaches to assessing fidelity and preliminary…
Unpacking Core Teaching Practices in Elementary Mathematics to Support Teacher Learning and Assessment (Boerst, Moss, Blunk)
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In this session, participants explore analytical language developed to “unpack” core practices in mathematics teaching (e.g., leading discussion) when guiding teacher learning and supporting assessment across contexts…
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Curriculum
Mathematics
Implementation
Presentation
Middle
Karen D. King…
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This session presents an instrument for measuring preservice elementary teachers’ application of instructional planning practices and discusses the relationship between these practices and teachers’ knowledge…
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Chapter to appear in C. Malloy (Series Editor) Mathematics for all: Instructional strategies for diverse classrooms, Grades 6-8. Reston, VA: NCTM.
Chapter to appear in C. Malloy (Series Editor)…
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In A. Florio (Editor) Mathematics for every student: Responding to diversity, Grades 9-12 (pp. 103-115). Reston, Va: NCTM.
In A. Florio (Editor) Mathematics for every student: Responding to…
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The group will discuss current research and practice in educational social networks and questions in this area that still need to be answered.
Mathematics
Science…
Resource
Mathematics
Presentation
Pre-K
Elementary
Witkowski, C.
Cullen, C…
Resource
Redistricting can provide a real-world application for use in a wide range of mathematics classrooms.
Mathematics
Publication…
Resource
This article reports findings from a research and professional development project at two high schools located in low-income, urban communities of color. The project collaborates with teachers on improving their…
Centering the Teaching of Mathematics on Urban Youth: Learning Together About Our Students and Their Communities
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Laurie H. Rubel (Brooklyn College) discusses a teacher learning community for high school teachers in New York City organized to develop practices of culturally relevant mathematics pedagogy. This project, named CureMap,…
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Developed by Bank Street College of Education and the Education Development Center, this comprehensive professional development resource contains all the materials you need to conduct workshops that will show general and…
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Developed by the Education Development Center and Bank Street College of Education, this professional development program will show general and special education teachers how to collaborate to provide a high-quality,…
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Equity in mathematics education should be one of the most important concerns of
teachers, administrators, policy makers, mathematicians, and mathematics educators. In fact, the Association of Mathematics Teacher Educator (…
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A middle school mathematics teacher taught native English speakers for the first fifteen years of her career. As immigrants from other countries moved into the community and student demographics began to change, she…
Facilitating the Participation of Latino English language Learners: Learning from an Effective Teacher
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Throughout my career, I have collaborated with dedicated and hard-working teachers who have opened their classrooms so that others could learn from them. Yet, one teacher, Sara, stood out from all the others. From the…
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One of the most rewarding accomplishments of working with preservice secondary school mathematics teachers is helping them develop conceptually connected knowledge and see mathematics as an integrated whole rather than…
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A four-year research project funded by NSF examines the efficacy of an approach to high school geometry that utilizes dynamic geometry (DG) software and supporting instructional materials to supplement ordinary…
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SmartGraphs is free, open source software that helps students understand graphs and concepts represented in graphs (e.g., slope, velocity, half-life, global warming).
A demonstration of the SmartGraphs…
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“Recent research emphasizes that teacher quality alone cannot improve student achievement at scale. School leadership, staff collaboration, and a positive climate are among essential organizational elements that contribute…
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“Specialized schools still represent a tiny fraction of U.S. public education. However, they may not only produce better results than traditional programs; they also can serve as models for schools seeking to improve.”…
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“When students from non-mainstream backgrounds receive equitable learning opportunities, they are capable of attaining science outcomes comparable to their mainstream peers. The same is true for mathematics and, presumably…
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“Providing a richness of resources unavailable in any classroom, informal science institutions across the country have developed exemplary partnerships with public schools—and have room for more.” Read this brief to…
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This case study illustrates how a 2nd-grade child, Violet, used an ordinal view of number to reason about positicve and negative integers and arithmetic involving integers. Violet's ordinal view of number facilitated her…
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STEM education-related publications that may be of interest to DRK-12 grantees.
This list contains STEM education-related publications that may be of interest to DRK-12 grantees for the purposes of (1)…
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A PPT presentation on Articulating the Components of Inclusive STEM High Schools. Presented at STEMx Conference.
A PPT presentation on Articulating the Components of Inclusive STEM High Schools.…
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The NSF’s Discovery Research K-12 (DR K-12) program is one potential source of funding for the needed research on the educational effectiveness of gaming and simulations. The DR K-12 program seeks to enhance the teaching…
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Current data on school readiness and early math and science achievement indicate we are not giving young children the support they need to be “STEM Smart”. Read this brief on nurturing STEM skills in young learners…
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"The majority of U.S. students, particularly low-income and minority youth, lacks foundational skills and knowledge in science, technology, engineering, and mathematics." Read the brief to learn more about preparing…
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A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial. If we interchange…
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Thinking critically. Communicating effectively. Collaborating productively. Students need to develop proficiencies while mastering the practices, concepts, and ideas associated with mathematics and science. Successful…
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Field placements serve as the traditional ‘clinical’ experience for prospective mathematics teachers to immerse themselves in the mathematical challenges of students. This article reports data from a different type of…
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Many national initiatives in K-12 science, technology, engineering, and mathematics (STEM) education have emphasized the connections between teachers and improved student learning. Much of the discussion surrounding these…
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Robot-math is a term used to describe mathematics instruction centered on engineering, particularly robotics. This type of instruction seeks first to make the mathematics skills useful for robotics-centered…
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Growing attention to preK mathematics and increased focus on standards in the US may be leading policy makers, administrators, and practitioners down the wrong path when it comes to assessing young children. The temptation…
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In this essay, the authors share a professional dialogue about the ways in which issues of power emerge in preschool classrooms when teachers endeavor to build on childrens home and school mathematical experiences and…
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One of the many challenges that teachers face in mathematics classrooms is determining how much of the verbal and written explanations help students accomplish instructional goals. The challenge is greater in…
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Lightning strikes, and two people hear thunder simultaneously. Where might the lightning have struck? Now consider a slightly different scenario: Lightning strikes, and three people hear thunder simultaneously. Where might…
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This paper employs meta-analysis to determine the influence of computer-based scaffolding characteristics and study and test scorequality on cognitive outcomes in science, technology, engineering, and mathematics education…
Investigating the development of mathematics leaders' capacity to support teachers' learning on a large scale
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A key aspect of supporting teachers’ learning on a large scale concerns mathematics leaders’ practices in designing for and leading high-quality professional development. We report on a retrospective analysis of an initial…
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This article introduces an interview-based instrument that was created for the purposes of characterizing the visions of high-quality mathematics instruction of teachers, principals, mathematics coaches, and district…
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González, G., DeJarnette, A. F., & Deal, J. T. (2014). Assessing and Using Students’ Prior Knowledge in Problem-Based Instruction. New England Mathematics Journal, XLVI, 38-49.
Mathematics…
Resource
Munter, C. (2015). Envisioning the Role of the Mathematics Teacher. NCSM Journal of Mathematics Education Leadership, 16(1), 29-40.
Mathematics
Publication…
Resource
Wager, A. A. & Delaney, K. (2014). Exploring young children’s multiple mathematical resources through action research. TODOS Research Monograph 3: Embracing Resources of Children, Families, Communities and Cultures in…
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This article describes how early childhood teachers engaged in a public preK professional development program. We examine how developing teacher identities mediated engagement with the discourses of developmentally…
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The STEM School Study (S3) team sat down with inclusive STEM school leaders from over 25 inclusive STEM schools and asked them to describe the parts of their schools that are essential to their school models. We found that…