Mathematics

CAREER: A Transformative Approach for Teaching and Learning Geometry by Representing and Interacting with Three-Dimensional Figures

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This project explores how virtual and augmented reality can create new opportunities for representing and interacting with geometric concepts. The poster will report on our efforts to work with secondary mathematics teachers to design immersive virtual environments and test them with students in public high schools in the north east.

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Quantifying Curricular Reasoning as a Critical Practice in Teaching Mathematics (Collaborative Research)

Teachers of mathematics engage in curricular reasoning as they design and implement high-quality instruction. In this research project, the team develops and validates two measures of middle school mathematics teachers' curricular reasoning. The CR-SASS has teachers self-report their curricular reasoning, and the CROA is an observation protocol to identify teachers’ curricular reasoning while teaching. The research advances our understanding of teacher curricular reasoning through the development of the two measures.

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Quantifying Curricular Reasoning as a Critical Practice in Teaching Mathematics (Collaborative Research)

Teachers of mathematics engage in curricular reasoning as they design and implement high-quality instruction. In this research project, the team develops and validates two measures of middle school mathematics teachers' curricular reasoning. The CR-SASS has teachers self-report their curricular reasoning, and the CROA is an observation protocol to identify teachers’ curricular reasoning while teaching. The research advances our understanding of teacher curricular reasoning through the development of the two measures.

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Quantifying Curricular Reasoning as a Critical Practice in Teaching Mathematics (Collaborative Research)

Teachers of mathematics engage in curricular reasoning as they design and implement high-quality instruction. In this research project, the team develops and validates two measures of middle school mathematics teachers' curricular reasoning. The CR-SASS has teachers self-report their curricular reasoning, and the CROA is an observation protocol to identify teachers’ curricular reasoning while teaching. The research advances our understanding of teacher curricular reasoning through the development of the two measures.

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Quantifying Curricular Reasoning as a Critical Practice in Teaching Mathematics (Collaborative Research)

Teachers of mathematics engage in curricular reasoning as they design and implement high-quality instruction. In this research project, the team develops and validates two measures of middle school mathematics teachers' curricular reasoning. The CR-SASS has teachers self-report their curricular reasoning, and the CROA is an observation protocol to identify teachers’ curricular reasoning while teaching. The research advances our understanding of teacher curricular reasoning through the development of the two measures.

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Quantifying Curricular Reasoning as a Critical Practice in Teaching Mathematics (Collaborative Research)

Teachers of mathematics engage in curricular reasoning as they design and implement high-quality instruction. In this research project, the team develops and validates two measures of middle school mathematics teachers' curricular reasoning. The CR-SASS has teachers self-report their curricular reasoning, and the CROA is an observation protocol to identify teachers’ curricular reasoning while teaching. The research advances our understanding of teacher curricular reasoning through the development of the two measures.

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Partnership Development for Career-Long Teacher Learning in Elementary Mathematics and Science

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To help K-5 in-service math and science teachers build the skills they most need support for, we formed a team of researchers and educators to design practice-based teacher professional development opportunities. We used a co-design approach to collaboratively develop our shared vision and plan for a personalized, online platform that leverages digital performance tasks and incorporates automated, personalized feedback to support teacher professional learning of the key teaching competency of facilitating student discussions.

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How Multi-digit Number Names Guide Attention, Memory, and Place Value Learning in Early Elementary Mathematics

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This project investigates how hearing multi-digit number names during teachers’ place value instruction can guide K-1 students’ attention, build robust memories, and enhance learning. It combines rigorously controlled experiments with technological advancements in wearable sensors (e.g., eye trackers) during naturalistic human interactions, as well as time-series and individual differences analyses. It aims to provide a mechanistic understanding of how early (before school entry) knowledge bridges into later learning of precise mathematical principles.

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Co-designing for Statewide Alignment of a Vision for High Quality Mathematics Instruction (Collaborative Research)

This project explores the development of a shared vision for high-quality and equitable mathematics (HQEMI) at a state-wide level. This includes studying the visions of HQEMI of educators in different roles across the system, as well as the co-design efforts of over 80 mathematics educators and leaders working to foster a common vision of HQEMI through the development of resources for educators and leaders at multiple levels of a state education system.

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Co-designing for Statewide Alignment of a Vision for High Quality Mathematics Instruction (Collaborative Research)

This project explores the development of a shared vision for high-quality and equitable mathematics (HQEMI) at a state-wide level. This includes studying the visions of HQEMI of educators in different roles across the system, as well as the co-design efforts of over 80 mathematics educators and leaders working to foster a common vision of HQEMI through the development of resources for educators and leaders at multiple levels of a state education system.

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