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A 2D Shape Composition Learning Trajectory of a Student with Difficulty in Mathematics
Conference paper

A 2D Shape Composition Learning Trajectory of a Student with Difficulty in Mathematics

Angela Crawford and Aysia Kernin
North American Chapter of the International Group for the Psychology of Mathematics Education
North American Chapter of the International Group for the Psychology of Mathematics Education
44th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Nashville, TN, 11/17/2022–11/20/2022)
2022

Abstract

Elementary School Students Grade 3 Instructional Effectiveness Intervention Learning Disabilities Learning Trajectories Spatial Ability Student Centered Learning Students with Disabilities Teaching Methods Mathematics Education Special Education
This study explores a spatial reasoning learning trajectory of a student with difficulty in mathematics. Using a teaching experiment methodology across 15 instructional sessions, we observed how the student responded to instruction based on an established 2D shape composition learning trajectory (Sarama & Clements, 2009). A narrative microgenetic analysis identified conditions that were likely to have promoted learning. The analysis shows the student's actual trajectory was similar to that of the hypothesized learning trajectory. Challenges to progress emerged around teacher-guided components of instructional support. We describe how a student-centered approach and mathematizing through specific praise was generative of learning, while explicit guidance was not. We discuss how the guiding conjecture of the teaching experiment evolved and how it is situated within the broader literature base.
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