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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…