人工智能赋能离散数学课程建设和课堂改革探究

Research on Artificial Intelligence Empowering Discrete Mathematics Course Construction and Classroom Teaching Reform

摘要: 离散数学课程是信息与计算科学等数学专业以及计算机相关专业的必修课程，它与其它课程的联系极为紧密，能够为人工智能领域提供不可或缺的数学工具和理论支持。鉴于当前的教学状况，本文提出了人工智能赋能离散数学课程的具体建设方案和课堂教学改革方向。在课程建设方面，构建了将知识图谱、问题图谱、能力图谱和思政图谱相互融合的渐进式课程结构。借助知识图谱和问题图谱，学生可规划自适应学习路径，开展个性化学习；教师能实现教学过程的智能化管理，并开展分层教学。能力图谱和思政图谱可以为教师提供全面的育人路径。另外，本文还针对课程内容、教学方式、教学评价等方面进行了实践和研究，将人工智能技术融入其中的教学模式，有助于实现从单纯传授知识到培养能力的教学目的的转变。

Abstract: Discrete mathematics is a compulsory course for mathematics majors like information and com-puting science and computer-related majors. It is closely related to other courses and can offer necessary mathematical tools and theoretical support for artificial intelligence. Based on the current teaching situation, this paper puts forward specific construction plans for the discrete mathematics course empowered by artificial intelligence and the direction of classroom teaching reform. In the aspect of course construction, a progressive course structure integrating the knowledge graph, problem graph, ability graph, and ideological-political graph is constructed. With the aid of the knowledge graph and problem graph, students can plan self-adaptive learning paths and conduct personalized learning; teachers can achieve intelligent management of the teaching process and carry out hierarchical teaching. The ability graph and ideological-political graph provide teachers with comprehensive education-oriented paths. Furthermore, this paper also conducts practice and research in terms of course content, teaching methods, and teaching evaluation, etc. The teaching mode combined with artificial intelligence technology can help realize the transformation of the teaching purpose from imparting knowledge to cultivating abilities.