RUME 28
2026
Alexandria, Virginia
Interpreting Components as Coordinates in Two Coordinate Systems
Page: 332
This study explores how linear algebra students reason with a novel coordinate system, the COSLA system. As part of a larger study, individual clinical interviews were conducted with three students, and their work was analyzed through the ReNaming and ReLocating framework (Author; 2023, 2024). Findings include various approaches in interpreting n-tuples and vector notations and different ways to reason about a displacement vector. The study also presents challenges students may face with non-Cartesian systems and suggests future implications for teaching change of basis.