Teaching Research on Linear Algebra Based on Polya's "Three Principles of Learning"

This paper delves into the in-depth application of Polya's "Three Principles of Learning" within the realm of linear algebra teaching. By intricately integrating the principles of "actively learning", "learning by analogy and induction", and "reflecting and summarizing" into the teaching framework, it endeavors to not only boost students' learning enthusiasm and efficiency but also to foster their independent thinking, critical analysis, and complex problem - solving capabilities. Through a combination of real - world teaching cases, in - depth theoretical dissections, and empirical data analysis, the paper comprehensively demonstrates the far - reaching effectiveness of this teaching approach in promoting students' profound understanding and proficient mastery of linear algebra knowledge.