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CAREER: Designing and Enacting Mathematically Captivating Learning Experiences for High School Mathematics
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This project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage…
Identifying Effective Instructional Practices that Foster the Development of Algebraic Thinking in Elementary School
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This project seeks to identify teaching practices that can be linked to students' early algebra learning in grades three, four and five. The goal of the project is to use assessment data and videos of classroom…
CAREER: Investigating Changes in Students' Prior Mathematical Reasoning: An Exploration of Backward Transfer Effects in School Algebra
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This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic…
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This study can provide a basis for design research focused on developing effective materials and programs for flipped instruction in secondary mathematics, which is already occurring at an increasing rate, but…
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This project will explore the learning of mathematics through architectural tasks in an online simulation game, E-Rebuild. In the game-based architectural simulation, students will be able to complete tasks such…
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The project is a longitudinal assessment of the prerequisite (e.g. fractions), cognitive (e.g. working memory), and non-cognitive (e.g. math anxiety) factors that dynamically influence 7-9th grade students'…
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This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school…
CAREER: From Research to Meta-Research to Practice – The Development of an Educational Learning Environment Framework for School Algebra
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This project advances the understanding of teaching and learning of algebra in grades 6 through 12 by using a methodology that leverages the cumulative power of an analysis of many studies on a topic. This work…
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In this project, we examine middle-school students’ understandings of coordinate systems and frames of reference prior to examining their graph construction and interpretation. This focus allows us to design…
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Covariational reasoning, or the ability to reason about relationships as quantities change together, is one way of thinking that can provide a foundation for students to build their more abstract algebraic…
Examining an Online, International Exchange Professional Development Program for High School Teachers
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This project aims to elaborate a structure for practice-oriented, collaborative professional development that increases the capacities for collaborative learning by facilitating teacher-to-teacher interactions…