RUME 26
2024
Omaha, Nebraska
The Nature of an Online Work Group Reveals the Teaching Knowledge of Inquiry-Oriented Linear Algebra Instructors Through Their Goals for Instruction
Page: 205
Postsecondary instructors interested in inquiry-oriented instruction of linear algebra participated in a sequence of eight one-hour online work group meetings with other inquiry- oriented linear algebra instructors and facilitators. Recordings were analyzed for how two participants referenced goals for instruction in discussions of implementing a new instructional unit on subspaces. We identified four goals for the instruction of teaching subspaces. We discuss the intersections of several goals that exist due to the tension caused by real-world contexts and abstract mathematical concepts. The instructors presented resolutions to the tension by utilizing varying teaching knowledge. Based on the results, we make suggestions for those who want to transition to inquiry-oriented instructional approaches.