A Study on the Construction and Application of Knowledge Mapping in “Probability Theory and Mathematical Statistics”

在教育数字化转型背景下，知识图谱作为知识组织与呈现的创新工具，为高校数学课程改革提供了新路径。本文我们以《概率论与数理统计》课程为例，以建构主义为理念，采用自顶向下的策略从8个模块，122个知识点构建了课程的知识图谱，并从多个维度提供了完善图谱的可行方法。进一步分析了知识图谱对教学实践中开展个性化学习的帮助，以及未来知识图谱动态更新与调整的策略。我们还提出了着眼于大学数学课程群网络图谱的建设的想法，为学生的个性化学习和教师的差异化教学提供有力的帮助。Under the background of digital transformation of education, knowledge mapping, as an innovative tool for knowledge organization and presentation, provides a new path for reforming mathematics curricula in colleges and universities. In this paper, we take the Probability Theory and Mathematical Statistics course as an example. With the concept of constructivism, we use the top-down strategy to build the knowledge mapping of the course from 8 modules and 122 knowledge points and provide a feasible method for enriching the mapping in multiple dimensions. We also analyze the help of knowledge mapping for personalized learning in teaching practice and strategies for dynamic updating and adjustment of knowledge mapping in the future. We also propose focusing on the construction of network maps for university mathematics course clusters to provide powerful help for students’ personalized learning and teachers’ differentiated teaching.