As the fruit of human thought and wisdom, the education law of “the unity of knowledge and action” is an intrinsic requirement for the harmonious and comprehensive development of the human body and mind. It is also the trend of modern education development. For the pain point problems in the traditional teaching of Linear Algebra (LA) in colleges and universities, the course team implemented the concept of "the unity of knowledge and action" based on professional needs. The team built the four innovation measures of "integrating teaching content, transforming teaching forms, optimizing teaching modes, and strengthening teaching practice" to guide students to learn in depth. The team also extended two methods of "project practice and mathematical modeling" to conduct teaching innovation exploration and practice. In this paper, we took the "inverse matrix" as a teaching example to demonstrate the innovative ideas and measures of promoting knowledge with action, promoting action with knowledge, and keeping common progress in knowledge and action. The teaching feedback showed that innovating reforms can effectively solve the pain points and achieve comprehensive improvement in knowledge-acquiring, capacity-cultivating, and value-leading.

Xiuli Li, Enjing Guan, Xinchun Cui, Fangfang Duan. Innovation and Practice of the Linear Algebra Teaching Based on “the Unity of Knowledge and Action”. Frontiers in Educational Research (2023) Vol. 6, Issue 8: 1-9. https://doi.org/10.25236/FER.2023.060801.

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