随机事件教学的优化设计与实践探索

Optimization Design and Practical Exploration of Random Event Teaching

摘要: 随机事件作为概率论与数理统计的入门概念，是构建后续概率计算、随机变量等知识体系的基础。针对学生在学习中普遍存在的“概念理解模糊、事件表示混乱、逻辑分析薄弱”等问题，本文结合教学实践，提出“情境具象化–表示结构化–分析流程化”的三阶教学模式。通过典型案例拆解、事件关系梳理、解题思路归纳，引导学生掌握随机事件的描述方法与分析逻辑，培养其运用集合思想与概率思维解决实际问题的能力，为后续课程学习奠定坚实基础。

Abstract: As an introductory concept in probability theory and mathematical statistics, random events serve as the foundation for constructing subsequent knowledge systems such as probability calculation and random variables. To address the common problems students encounter in learning, including vague understanding of concepts, confused representation of events, and weak logical analysis, integrating teaching practices, we propose a three-stage teaching model of “situational visualization, representation structuring, and analysis proceduralization” in this paper. Through the breakdown of typical cases, sorting out event relationships, and summarizing problem-solving ideas, this model guides students to master the description methods and analytical logic of random events, cultivates their ability to solve practical problems using set thinking and probability thinking, and lays a solid foundation for their learning of subsequent courses.