基于知识图谱的高等数学课程的数字化建设与改革研究

Research on the Digital Construction and Reform of Advanced Mathematics Courses Based on Knowledge Graph

摘要: 高等数学是我校工学院学生必修的重要基础理论课程，也是众多工科专业的基石，对学生抽象逻辑思维、科研创新以及运用数学知识解决实际问题的能力培养至关重要。然而，传统教学中存在诸多痛点，如学生基础薄弱、课程与专业实践脱节、学生学习动力不足等。为解决这些问题，高等数学课程组秉持“以学生为中心、启发引导、学以致用、三全育人”的教育理念，引入知识图谱技术，对高等数学知识点进行结构化梳理，构建可视化知识网络，并创建配套的课程题库、作业库和试卷库等教学资源。通过“知识图谱 + 数字资源”的教学模式，实现了教学的数字化、智能化改革，显著提升了学生的学习兴趣、参与度和实践创新能力，为高等数学与专业教育、特色育人、实践创新的紧密融合提供了有力支撑。

Abstract: Advanced mathematics is an important basic theory course for engineering students in our university. It is a basic course for many engineering majors, which helps to cultivate students’ abstract logical thinking ability, scientific research and innovation ability and the ability to use mathematical knowledge to solve practical problems. However, there are many pain points in traditional teaching, such as students’ weak foundation, the disconnection between courses and professional practice, and students’ lack of motivation to learn. In view of the “pain point” problem existing in the teaching process of higher mathematics course, the teaching team of higher mathematics course follows the education and teaching concept of “student-centered, inspired and guided, learning in practice, three comprehensive education”, and introduces the knowledge map technology to organize the complex knowledge points in higher mathematics, and clearly show the correlation and logical level between each knowledge. Build a visual knowledge network. At the same time, according to the characteristics of the course knowledge graph, the corresponding teaching resources such as subject bank, assignment bank and examination paper bank are organized and created. The integration of the “knowledge graph +digital resources” pedagogical model has facilitated a comprehensive digital and intelligent transformation in teaching methodologies. This approach has significantly enhanced students’ learning motivation, engagement, and practical innovation capabilities, thereby providing robust support for the seamless integration of advanced mathematics with professional education, distinctive talent cultivation, and practical innovation initiatives.