基于HPM视角的概率论与数理统计课程思政探究——以正态分布为例

Research on Curriculum Ideological and Political Education ofProbability Theory and Mathematical Statistics from thePerspective of HPM:A Case of Normal Distribution

概率论与数理统计是高等学校数学类核心课程,研究其课程思政对实现全课程育人有着重要意义。文章从HPM视角出发,在兼顾数学逻辑性和科学性的同时,展现了概率论与数理统计课程人文价值,并通过选取正态分布的发展史料和现实应用,展示了知识的产生和再创造过程,增加了课程的趣味性。最后,设计了一套新颖的正态分布教学策略。

Probability theory and mathematical statistics are core courses in mathematics in higher education.The curriculum ideological and political education requires the full play of the educational role of the courses.It is of great significance to study the ideological and political education of probability theory and mathematical statistics for the realization of the whole curriculum education.From the perspective of HPM,it shows humanity and value while giving consideration to the logic and science of mathematics.By selecting historical materials and practical applications of Normal distribution,it shows the generation and recreation of knowledge,increases learnability and interest,and designs a set of novel teaching strategies of Normal distribution,which provides teaching case reference for Probability theory and mathematical statistics.