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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…
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…
Using Problem-based Learning Analytics to Investigate Individual and Collaborative Mathematics Learning in a Digital Environment Over Time
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This project supports the development of a collaborative digital learning environment that embeds rich middle school mathematics tasks. The project aims to understand how students' individual and collaborative…