Those do what? Connecting Eigenvectors and Eigenvalues to the Rest of Linear Algebra: Using Visual Enhancements to Help Students Connect Eigenvectors to the Rest of Linear Algebra

摘要

This paper discusses student difficulties in grasping concepts from Linear Algebra - in particular, the connection of eigenvalues and eigenvectors to other important topics in linear algebra. Based on our prior observations from student interviews, we propose technology-enhanced instructional approaches that might positively impact student understanding of concepts within a problem-solving context. We discuss some barriers to student understanding and suggest ways of using geometrical interpretations and visualisations of eigenvectors and eigenvalues to address these barriers. These technological interventions can readily implement this geometric approach, permitting students to easily experiment with a visual interpretation of eigenvectors and eigenvalues.