概率论与数理统计课程思政探索与实践——以“事件独立性”概念的双案例模式为例

Exploration and Practice of Curriculum-Based Ideological and Political Education in Probability Theory and Mathematical Statistics—Taking the Dual-Case Model of the Concept of “Event Independence” as an Example

摘要: 在高等教育立德树人背景下，针对理工科课程思政浅表化渗透问题，文章以概率论核心概念事件独立性为载体，构建知识–能力–价值三位一体教学模式。创新设计整合“三个臭皮匠”团队协作与“乒联规则”公平竞争双案例，通过课前任务驱动、课中建模探究、课后拓展迁移的以学生为中心流程，实现概率思维与思政价值的有机融合。实证研究表明：学生认知水平与价值认同显著提升(P < 0.001，效应量d = 0.994)，课后思政目标认同度达94.5%，为理工科课程思政提供了可复制的实践路径。

Abstract: In the fundamental principle of Cultivating Morality and Fostering Talent in higher education, taking the core concept of event independence in probability theory as a carrier, this study constructs a trinity teaching model integrating knowledge, ability, and values, addressing the issue of superficial integration of ideological and political elements in STEM courses. The innovative design incorporates dual teaching cases: “Three Cobblers” team collaboration and “ITTF Rules” fair competition, implemented through a student-centered process consisting of pre-class task-driven learning, in-class modeling and inquiry, and post-class extended application, thereby achieving organic integration of probabilistic thinking and ideological-political values. Empirical results demonstrate significant improvements in students’ cognitive levels and value recognition (P < 0.001, d = 0.994), with a 94.5% post-course acceptance rate of ideological-political objectives, providing a replicable practical approach for curriculum-based ideological and political education in STEM disciplines.