"> 高等数学, 教学改革, 以赛促学, 数学建模, 框架设计

To address the long-standing problem of "disconnection between learning and application" in advanced mathematics teaching, the authors construct a closed-loop teaching reform framework centered on "competition-driven learning and learning-facilitated competition". Taking the competency requirements of mathematical modeling competitions as a reverse driver, the framework reconstructs problem-oriented thematic teaching content, innovates teaching methods that integrate case studies and project-based learning, establishes a diversified evaluation system combining process-based, application-based, and incentive-based assessment, and expands educational pathways integrating curriculum ideological and political education with innovation practice, systematically restructuring the curriculum system. The aim is to build a new teaching ecosystem where theoretical instruction and practical application mutually nurture each other. The authors further systematically elaborate on the internal logic, implementation pathways, and expected outcomes of this framework, providing systematic reference for promoting teaching reform in higher mathematics and transforming talent cultivation models.