Research on Eigenvalue and Eigenvector Teaching Based on Rain Classroom and Case Teaching Method
Eigenvalue and eigenvector are two abstract and widely used concepts.If teachers only focus on teaching theoretical content and ignore their background and significance in practical applications,it will make students feel difficult to understand theoretical knowledge,thereby losing interest and enthusiasm for learning,and ultimately af-fecting their subsequent course learning.Based on the Rain Classroom teaching platform,this article adopts the method of integrating ideological and political education into basic course teaching.It links the eigenvalues and ei-genvectors of matrices with discrete dynamical systems,and takes the predator-prey system as an application case to guide students to analyze practical problems and establish corresponding mathematical models,and then solves the mathematical models through the eigenvalues and eigenvectors of matrices,deepening students'understanding of basic theoretical knowledge,improving students'classroom participation,and achieving good teaching results.