Mathematics

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.

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.

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.

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.

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.

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.

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.

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.