生成式AI在函数极限可视化教学中的应用初探

A Preliminary Study on the Application of Generative AI in the Visualized Teaching of Function Limits

摘要: 随着人工智能技术的快速发展，AI协同教学已成为教育教学改革的重要工具。本文聚焦数学分析选讲课程中的重要内容——函数极限求解，提出将AI技术作为“智能助手”应用于辅助教师设计教学设计，利用AI技术生成动态可视化图像，以更有效地刺激学生的视觉与听觉，提升学生学习兴趣与对抽象知识的理解程度，为数学教学提供了一种新的可视化资源生成途径。

Abstract: With the rapid development of artificial intelligence technology, AI-assisted collaborative teaching has become an important tool for educational innovation. This article focuses on the key content of the elective course of Mathematical Analysis—the solution of function limits, and proposes to apply AI technology as an “intelligent assistant” to assist teachers in designing teaching plans. By using AI technology to generate dynamic visual images, it can more effectively stimulate students’ visual and auditory senses, enhance their interest in learning and understanding of abstract knowledge, and provide a new approach to generating visual resources for mathematics teaching.