In the context of education reform in the new era, traditional linear algebra teaching has problems such as a single teaching model and low student participation, which cannot fully stimulate students' mathematical thinking and application ability. Based on the teaching innovation concept of "five-in-one" to promote "three-dimensional integration", this paper takes the course "College Mathematics I: Linear Algebra" as an example to explore a diversified and systematic teaching reform path. The five-in-one includes: teachers and students jointly build resources, cross-disciplinary integration, ideological and political courses, competition and scientific innovation promotion, and full-process evaluation tracking, aiming to improve teaching quality and students' core literacy. Through the redefinition of teaching objectives, the integration of online and offline resources, the expansion of teaching space, and problem-oriented heuristic teaching, the study achieved the three-dimensional integration of "platform-classroom-application", enabling students to make significant progress in knowledge learning, application ability and comprehensive literacy improvement.

Guoqing Chen, Nanjun He. Teaching innovation and practical research on promoting "three-dimensional integration" with "five-in-one"—Taking "College Mathematics I Linear Algebra" as an example. Frontiers in Educational Research (2024) Vol. 7, Issue 11: 142-149. https://doi.org/10.25236/FER.2024.071123.

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