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Illuminating Learning by Splitting: A Learning Analytics Approach to Fraction Game Data Analysis
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This project uses learning analytics and educational data mining methods to examine how elementary students learn in an online game designed to teach fractions using the splitting model. The project uses data to…
CAREER: Investigating Differentiated Instruction and Relationships Between Rational Number Knowledge and Algebraic Reasoning in Middle School
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The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction…
Developing Rich Media-Based Materials for Practice-Based Teacher Education
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This research and development project is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of…
Learning Algebra and Methods for Proving (LAMP)
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This project tests and refines a hypothetical learning trajectory and corresponding assessments, based on the collective work of 50 years of research in mathematics education and psychology, for improving…
Using Math Pathways and Pitfalls to Promote Algebra Readiness
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This project that creates a set of materials for middle grades students and teacher professional development that would support the learning of early algebra. Building on their prior work with an elementary…
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…
Examining Relationships Between Flipped Instruction and Students' Learning of Mathematics
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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…
Mathematical Learning via Architectural Design and Modeling Using E-Rebuild
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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…
Algebraic Learning and Cognition in Learning Disabled Students
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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'…
Developing and Evaluating Assessments of Problem Solving (Collaborative Research: Bostic)
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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…