概率论与数理统计课程创新教学研究

Innovative Teaching Research on the Course of Probability Theory and Mathematical Statistics

摘要: 针对概率论与数理统计课程在四新建设与课程思政背景下教学过程中存在的教学目标与高阶能力培养脱节、教学内容滞后于学科交叉需求、教学方法单一及评价体系片面等问题，开展创新型教学改革与实践。改革以教学设计案例分析为核心，更新教学目标，重构课程内容，创新教学方法，建立多元评价体系，有效培养了学生的数学思维能力、实践创新能力与综合素养，实现了价值引领、能力培养与知识传授的有机统一。教学实践表明，改革激发了学生的学习兴趣和内驱力，显著提高了教学质量与学生的学习成绩。

Abstract: In response to issues in the teaching process of the Probability Theory and Mathematical Statistics course under the context of the Four New Constructions and ideological and political education in curriculum—such as the disconnection between teaching objectives and the cultivation of higher-order abilities, outdated content failing to meet interdisciplinary demands, monotonous teaching methods, and a one-dimensional evaluation system—innovative teaching reforms and practices have been carried out. By updating teaching objectives, restructuring course content, innovating teaching methods, and establishing a diversified evaluation system, students’ mathematical thinking skills, practical innovation capabilities, and comprehensive literacy have been effectively enhanced. This achieves an organic integration of value guidance, ability cultivation, and knowledge impartation. Teaching practice demonstrates that the reforms have stimulated students’ learning interest and intrinsic motivation, significantly improving both teaching quality and academic performance.