基于知识图谱与可视化的复变函数论教学改革与实践研究

Research on Teaching Reform and Practice of Complex Analysis Based on Knowledge Graph and Visualization

摘要: 复变函数论作为数学类专业的一门核心课程，具有较强的理论性与抽象性，传统教学方式往往难以激发学生的学习兴趣与深入理解。本文基于教学实践，提出以知识图谱构建与可视化工具引入为核心的教学改革方案，结合分课堂模式与多元化评价体系，系统优化教学过程。实践表明，该改革有效提升了学生的课堂参与度、知识整合能力与数学直观理解，为高等数学类课程的教学创新提供了可行路径。

Abstract: As a core course for mathematics majors, Complex Analysis possesses strong theoretical and abstract characteristics. Traditional teaching methods often struggle to stimulate students’ interest and foster deep understanding. Based on teaching practice, this paper proposes a teaching reform scheme centered on the construction of knowledge graphs and the integration of visualization tools. Combined with the PAD Class Model and a diversified evaluation system, the scheme systematically optimizes the teaching process. Practice has shown that this reform effectively enhances students’ classroom engagement, knowledge integration abilities, and intuitive mathematical comprehension, providing a feasible pathway for teaching innovation in advanced mathematics courses.