数学建模课程的教学质量与学生的学科竞赛表现及创新能力培养有着紧密的联系。文章创建了以数学建模竞赛为核心的“三位一体”创新教学模式，该模式融合了数学建模理论教学、案例实践以及竞赛训练，通过实施这一系列的教学活动，着力培养学生的创新能力，并对数学建模的教学方式进行了深入的探索与改革。在这样的教学模式下，鼓励学生参加各类学科竞赛，结果显示，学生的参赛水平和创新实践能力均有显著提升。

The teaching quality of the mathematical modeling course is closely linked to students' performance in academic competitions and the cultivation of their innovative abilities. This paper establishes an innovative "trinity" teaching model centered around mathematical modeling competitions. This model integrates theoretical instruction in mathematical modeling, case-based practice, and competition training. By implementing such teaching activities, we aim to cultivate students' innovative abilities and conduct an in-depth exploration and reform of mathematical modeling teaching methods. Under this teaching model, students are encouraged to participate in various academic competitions. The results indicate that students' competition performance and innovative practical abilities have significantly improved.