RUME 26
2024
Omaha, Nebraska
Using CAS to Promote Students’ Ways of Thinking Through Observation and Conjectures: The Case of Eigenvalues and Eigenvectors
Page: 1164
Linear algebra is an important topic in mathematics and many other disciplines. In this paper, we consider a set of digital interactive figures (I-figs) using Mathematica created for linear algebra students in an introductory course. The figures were designed to facilitate students’ ability to visualize and work with eigenvalues and eigenvectors while minimizing computation for the benefit of conceptual focus while looking at an unlimited number of examples. The worksheets provide a foundation for motivating students to participate in a system of observation, conjecture, proof, and theorem. Based on our preliminary analysis of students’ reflections on the I-figs, we found that students were confident in making and believing example- based conjectures.