AI赋能的“3维度5重构5融合”教学模式创新与实践——以数学分析课程为例

Innovation and Practice of the “3 Dimensions, 5 Reconstructions, 5 Integrations” Teaching Model Empowered by AI—Taking the Course of Mathematical Analysis as an Example

摘要: 数学分析作为数学类专业的一门核心基础课，依托省一流本科建设数学与应用数学专业平台，致力于夯实学生专业理论基础，提升其应用性和创新性的综合能力。针对教学中存在的概念可视化不足、反馈滞后及分层教学实施困难等痛点问题，本课程通过建设AI课程资源，融合线上线下教学方式，运用GeoGebra软件对抽象概念进行动态的可视化呈现，创新课堂教学组织模式，精心设计案例，构建并实践了“3维度5重构5融合”教学模式。该模式有效夯实了学生数学基础，强化了其分析、应用与创新能力，提升了课程的挑战度。基于上述创新实践与显著成效，本课程被认定为省级课程思政示范课程并得以推广。

Abstract: As a core basic course for mathematics-related majors, mathematical analysis relies on the provincial first-class undergraduate construction platform for the Mathematics and Applied Mathematics major. It is committed to consolidating students’ professional theoretical foundation and enhancing their comprehensive abilities in application and innovation. In response to the pain points existing in teaching, such as insufficient visualization of concepts, lagging feedback, and difficulties in implementing stratified teaching, this course builds AI course resources, integrates online and offline teaching methods, uses GeoGebra software to dynamically visualize abstract concepts, innovates the organization mode of classroom teaching, and carefully designs cases A teaching model of “3 dimensions, 5 reconstructions and 5 integrations” was constructed and practiced. This model effectively consolidates students’ mathematical foundation, strengthens their analytical, application and innovation abilities, and enhances the challenge level of the course. Based on the above innovative practices and remarkable achievements, this course has been recognized as a provincial-level model course for ideological and political education in courses and has been promoted.