A Student-Centered Lesson on Eigenvalues and Eigenvectors

Abstract

Informed by Harel's DNR theoretical framework, this paper describes the design, incorporation, and analysis of two teaching and learning strategies into a particular lesson on eigentheory. The students were in a blended undergraduate–graduate linear algebra course. During the lesson, the professor looked for mathematical themes within the course that resonated with her students and encouraged them to ask questions and suggest ideas. Students were also given a digital worksheet with interactive figures tailored for the lesson. To help analyze the effectiveness of the changes, the students were asked for written feedback on the lesson style and the worksheet. The authors share the reflections of the professor (and first author) on how her changes affected the teaching and learning of the material in the lesson, as well as subsequent material in the course.