对《离散数学》课程集合状态成员表法的探索与思考

Exploration and Reflection on the Member Table Method of Set States in the Course of “Discrete Mathematics”

摘要: 《离散数学》是理工科大学生的专业核心课程，而集合论是《离散数学》的基础部分。集合论中的集合代数包含的内容多，其中求一个集合的幂集、证明两个集合相等是非常重要的内容。怎样掌握这些知识点，是许多学生十分关心的问题。本文给出了解决上述问题的通用方法以及集合状态成员表法，并将通用方法与集合状态成员表法进行了对比，分别给出了他们的优劣性。集合状态成员表法是解决相关问题的一种简单的方法，希望本文的研究对学生掌握相关知识点起到一定的促进作用。

Abstract: “Discrete Mathematics” is the core course of science and engineering college students, and set theory is the fundamental part of “Discrete Mathematics”. The set algebra in set theory contains a lot of content, among which finding the power set of a set and proving that two sets are equal is a very important content. How to master these knowledge points is a concern for many students. This article provides general methods and a set state member table method to solve the above problems, compares the general method with the set state member table method and presents their advantages and disadvantages. The set state member table method is a simple way to solve related problems. It is hoped that this study will play a certain promoting role in helping students master relevant knowledge points.