With the continuous improvement of the requirements of higher vocational colleges for the cultivation of applied talents, traditional higher mathematics teaching generally has problems such as knowledge fragmentation, disconnection from application, and low student interest in learning, which makes it difficult to meet the goal of cultivating compound technical and skilled talents. To this end, this paper introduces the "integration of competition and teaching" teaching model, deeply integrates the elements of mathematical modeling competition with higher mathematics courses, explores the integrated teaching path inside and outside the classroom, and solves the problems of insufficient practicality of courses and fragmented knowledge system. Based on the concept of integration of competition and teaching, this paper reconstructs the teaching content of advanced mathematics and builds a modular "theory + case + project" course system; by introducing typical competition cases, it strengthens the practical training of core modules such as functions, derivatives, extreme values, and maximum values. This paper uses hierarchical and graded task-driven, combined with knowledge mind mapping and modeling micro-projects, to promote knowledge internalization and application transfer; at the same time, it uses the smart teaching platform to realize the full-link learning closed loop of "personalized push-process evaluation-dynamic feedback", and improve students' ability to construct problems, build models and analyze results. The experimental data show that the students' academic performance in advanced mathematics, comprehensive modeling ability, learning interest and autonomous learning ability are significantly improved under the integration of competition and teaching model. The learning motivation score of the experimental group increased from 3.12±0.41 to 3.85±0.36, and the autonomous learning strategy score increased from 3.05±0.43 to 3.79±0.38. The F values were 25.128 and 22.346 respectively, and p was less than 0.001. The difference was extremely significant, which verified the effectiveness of this model in improving mathematics learning effects and application ability.

Suxiang Zhang. Practical Research on the Integration of Competition and Teaching in the Teaching Reform of Higher Mathematics Courses. International Journal of New Developments in Education (2025), Vol. 7, Issue 8: 107-114. https://doi.org/10.25236/IJNDE.2025.070817.

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