人工智能赋能大学数学类课程的教学模式研究——以《复变函数与积分变换》课程为例

Research on AI-Empowered Teaching Models of University Mathematics Courses—Taking the Course “Complex Functions and Integral Transforms” as an Example

摘要: 文章以《复变函数与积分变换》课程为研究对象，系统探讨了人工智能赋能大学数学类课程的教学模式革新。研究构建了人工智能赋能的教学模式：一是更新教学理念与内容，依托雨课堂平台整合电子资源，构建课程知识图谱；二是将人工智能技术融入课前、课中、课后全链条，形成“师–生–机”模式；三是通过智能助教工具推动项目式、问题驱动式教学，激发创新思维；四是利用人工智能技术进行实时学情分析与量化评价，动态优化教学内容与策略，并将该教学模式进行有效实施。

Abstract: This paper takes the course “Complex Functions and Integral Transforms” as the research object and systematically explores the innovation in AI-empowered teaching models for university mathematics courses. The study has constructed an AI-empowered teaching model, which includes the following four aspects: first, updating teaching concepts and content, integrating electronic resources relying on the Yuketang platform, and constructing a course knowledge graph; second, integrating artificial intelligence technology into the entire chain of pre-class, in-class, and post-class sessions to form a “teacher-student-machine” model; third, promoting project-based and problem-driven teaching through intelligent teaching assistant tools to stimulate innovative thinking; fourth, using artificial intelligence technology to conduct real-time academic situation analysis and quantitative evaluation, so as to dynamically optimize teaching content and strategies. Furthermore, this teaching model has been effectively implemented.