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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,…
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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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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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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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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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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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…
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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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…
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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…
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…
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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…
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 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…
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…
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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…
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…
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…
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…
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.…
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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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…
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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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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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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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…
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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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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…
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…
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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…
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…