课程美育视域下概率论与数理统计教学改革与实践

Teaching Reform and Practice of Probability and Mathematical Statistics from the Perspective of Curriculum Aesthetics Education

摘要: 在新时代立德树人与五育并举、课程思政背景下，针对概率论与数理统计传统教学重知识训练、轻审美涵养，且重概率论、弱化数理统计应用的问题，本文以课程美育为切入点，重构认知–技能–情感三维教学目标，搭建一体化美育闭环体系。依托课程核心知识点，从理论、实验、案例三类教学场景探索融合路径，并结合教学实际分析实施挑战与解决办法。本研究采用准实验法设置对照组与实验组，结合知识试卷、统计思维测试及标准化量表开展前后测，同时设计专项评价量规，将美育要求转化为可量化指标。实践表明，该教学模式能够激发学生学习兴趣，提升逻辑思维、数据处理与审美能力，可为同类课程开展美育浸润、推进课程思政提供实证参考与实践范式。

Abstract: Against the background of fostering morality and talents, all-round development of five educations and curriculum ideological and political education in the new era, this paper targets the drawbacks of traditional Probability and Mathematical Statistics teaching, such as overemphasizing knowledge drills while neglecting aesthetic cultivation, and prioritizing probability theory over mathematical statistics application. Taking curriculum aesthetic education as the breakthrough point, it reconstructs the three-dimensional teaching objectives of cognition, skill and emotion and builds an integrated closed-loop system. This paper explores integration paths from theoretical, experimental and case teaching, and analyzes practical challenges and solutions. A quasi-experimental design with control and experimental groups is adopted, and pre-tests and post-tests are conducted via examination papers and standardized scales. A dedicated evaluation rubric is also formulated to quantify aesthetic education requirements. Practice proves that this teaching mode can stimulate students’ learning interest and improve their logical thinking, data processing and aesthetic ability, providing empirical reference for aesthetic education and curriculum ideological and political education in similar courses.