PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Teaching Linear Algebra: Modeling One Instructor’s Decisions to Move between the Worlds of Mathematical Thinking
Page: 1014
In this article, we report results from a year-long study in which a linear algebra instructor worked with the research team to document his instructional decision-making via journals and interviews as well as to code and analyze the data. This work supports the development of a more general model of the instructor’s decision-making and provides a lens with which to make sense of the instructors shifts between representations from each of Tall’s Three Worlds. With the introduction of the model, we include an example to show how the various codes interact in the instructor’s decision-making. We also provide a detailed description of one incident that provides a second perspective on the instructor’s decisions, helping to support a more robust understanding of the data.