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Foundations of Algebra in the Elementary and Middle Grades: Supporting Students to Make, Represent and Justify General Claims about Operations
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This project develops images, extended examples, and principles that illustrate how the articulation, representation and justification of general claims about operations evolve in the elementary grades and how…
A Learning Progression for Scientific Modeling
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This project will provide an empirically-supported learning progression for a key scientific practice, scientific modeling. The specific instructional materials created as part of the project can serve as a…
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…
Measuring Early Mathematical Reasoning Skills: Developing Tests of Numeric Relational Reasoning and Spatial Reasoning
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The primary aim of this study is to develop mathematics screening assessment tools for Grades K-2 over the course of four years that measure students' abilities in numeric relational reasoning and spatial…