RUME 25
2023
Omaha, Nebraska
A Linear Algebra Instructor's Ways of Thinking of Moving Between the Three Worlds of Mathematical Thinking Within Concepts of Linear Combination, Span, and Subspaces
Page: 761
Linear algebra is an important topic for many STEM students and presents unique challenges for teaching and learning. In this study, we analyzed one mathematician’s instructional materials and spoken language. Our theoretical framework is based on Tall’s (2008) three worlds of mathematical thinking and Harel’s (2008) ways of thinking. The goal of the study was to examine the complexities of a mathematician’s ways of thinking while moving between the three worlds of mathematical thinking, while orchestrating the important aspects of linear combination, subspaces, and span.