基于以赛促教模式的高等数学课程教学改革——以全国大学生数学竞赛(非数学专业类)为例

Teaching Reform of Advanced Mathematics Courses Based on the Competition-Driven Teaching Model—Taking the National College Mathematics Competition (Non-Mathematics Major) as an Example

摘要: 以全国大学生数学竞赛(非数学专业类)为例，探索以赛促教模式下高等数学课程的教学改革策略。阐述以赛促教模式的核心内涵与育人价值，结合国内外学科竞赛与常规教学融合的理论研究成果，分析全国大学生数学竞赛在提高教师教学能力和促进教学评价体系完善等方面对高等数学课程教学改革的深远影响，进而从调整教学内容、改进教学方法、优化教学评价方式等方面提出高等数学课程教学改革的具体实践路径。通过教学实证数据验证改革成效，为高校高等数学课程教学改革提供可借鉴的实践经验与思路。

Abstract: Taking the National College Students Mathematics Competition (for non-mathematics majors) as an example, this paper explores the teaching reform strategies of advanced mathematics courses under the mode of promoting teaching through competitions. It elaborates on the core connotation and educational value of the teaching promotion via competition mode, integrates high-quality research results on the integration of discipline competitions and regular teaching at home and abroad to construct a solid theoretical framework, analyzes the profound impact of the National College Students Mathematics Competition on the teaching reform of advanced mathematics course in terms of improving teachers’ teaching ability and promoting the improvement of teaching evaluation system, and then puts forward specific practical paths for the teaching reform of advanced mathematics course from the aspects of adjusting teaching content, improving teaching methods and optimizing teaching evaluation methods. The effectiveness of the reform is verified by teaching empirical data, providing referenceable practical experience, and ideas for the teaching reform of advanced mathematics courses in colleges and universities.