人工智能背景下离散数学的教学改革与应用研究

Research on Teaching Reform and Application of Discrete Mathematics in the Context of Artificial Intelligence

摘要: 在人工智能技术迅猛发展的背景下，传统离散数学课程的教学模式面临深刻挑战。文章立足于离散数学与人工智能领域的内在理论关联，系统剖析了现有教学体系中存在的不足，提出了以人工智能典型应用场景为驱动的课程重构思路。通过整合智能化教学平台开发、跨学科案例库建设及项目实践教学等路径，构建“理论–技术–应用”三层融合的教学新范式，旨在提升学生的数学建模能力与技术创新素养，为人工智能相关专业的数学基础教育提供可借鉴的改革方案。

Abstract: Against the backdrop of rapid advancements in artificial intelligence (AI), traditional teaching modes of discrete mathematics courses are facing profound challenges. Based on the intrinsic theoretical relationship between discrete mathematics and AI, this paper systematically analyzes the deficiencies in existing teaching systems and proposes a course restructuring approach driven by typical AI application scenarios. By integrating the development of intelligent teaching platforms, the construction of interdisciplinary case libraries, and project-based practical teaching, a novel teaching paradigm that blends “theory, technology, and application” into a cohesive framework is constructed. This approach aims to enhance students’ capabilities in mathematical modeling and technological innovation, providing a referential reform strategy for the foundational mathematics education in AI-related disciplines.