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Sarah Kerrigan – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Units Coordination and Covariational Reasoning are powerful frameworks for modeling students' mathematics in arithmetic reasoning and construction of relationships between changing quantities, respectively. This case study of an advanced stage 2, 8th-grade algebra student, Daniel, investigated connections between his units coordination and…
Descriptors: Middle School Students, Middle School Mathematics, Algebra, Case Studies
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Charles Hohensee; Sara Gartland; Yue Ma; Srujana Acharya – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Student focusing and noticing, which drive reasoning, are important but under researched aspects of student learning. Quadratic functions representations are perceptually and conceptually complex and thus, offer much for students to focus on and notice. Our study compared a teacher's goals for student focusing and noticing during quadratic…
Descriptors: Summer Programs, High School Students, Grade 9, Grade 10
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Hawthorne, Casey – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
While the mathematics education community encourages teachers to support students in developing a more meaningful contextual understanding of algebraic symbols, very little is known about teachers' quantitative understandings of algebraic symbols themselves. The goal of this study was to fill this gap and examine secondary teachers' ability to…
Descriptors: Algebra, Secondary School Teachers, Symbols (Mathematics), Generalization