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AI技术在高等数学可视化教学中的融合创新与实践研究

Integrative Innovation and Practical Research on AI in the Visualization Teaching of Higher Mathematics

Education Study / 2026,8(1): 58-63 / 2026-01-27 63 44

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• Authors: 赵光普¹ 陈星宇¹ 刘海英¹ 周凤玲¹ 解智勇²
• Information:

  1．内蒙古工业大学理学院数学系，呼和浩特；
  2．内蒙古大学数学科学学院，呼和浩特

• Keywords:
  Artificial intelligence; Higher mathematics; Visual teaching; Interactive exploration
  人工智能; 高等数学; 可视化教学; 交互探究
• Abstract: The teaching of higher mathematics is fundamentally challenged by its abstract and logical nature, while traditional instructional methods show significant limitations in visualizing and dynamizing core concepts. The rise of artificial intelligence has brought revolutionary breakthroughs to the visualization teaching of higher mathematics, largely due to its powerful capabilities in image generation, natural language interaction, and dynamic simulation. This paper focuses on the application of AI technology in this field and systematically constructs three teaching models, “intelligent diagram generation” “interactive experimental exploration”, and “dynamic process simulation”. These models are supported by in-depth analysis of typical cases such as saddle surfaces, vector fields, and integrals. Furthermore, the paper discusses the theoretical foundations and practical pathways of AI visualization teaching, aiming to provide theoretical guidance for promoting the paradigm shift in higher mathematics education from static abstraction to dynamic intuition. 高等数学教学的核心挑战在于其抽象性与逻辑性，而传统教学手段在将核心概念直观化、动态化方面存在明显局限。人工智能的兴起，特别是其强大的图像生成、自然语言交互与动态模拟能力为高等数学可视化教学带来了革命性突破。本文聚焦于AI技术在该领域的应用，系统构建了“智能图解生成”“交互实验探究”与“动态过程模拟”三种教学模式，并结合马鞍面、向量场、积分等典型案例展开深入分析。此外，本文进一步探讨了AI可视化教学的理论基础与实践路径，旨在为推动高等数学教学从“静态抽象”向“动态直观”的范式转型提供一定的理论指导。
• DOI: https://doi.org/10.35534/es.0801012 (registering DOI)
• Cite: 赵光普，陈星宇，刘海英，等．AI技术在高等数学可视化教学中的融合创新与实践研究［J］．教育研讨，2026，8（1）：58-63．