CAJ | 학술논문

在基于知识背景的计算机课程教学思想的启发下，我们探讨了离散数学课程中集合论部分的学习方法及途径。根据集合论部分的知识特点，对集合论相关的背景知识进行整理和分析，阐述了基于知识背景的组织原则和方法。将集合论的三部分核心知识：有限集和无限集、可数集和不可数集、集合的基数及比较，与知识背景进行有机结合。以知识背景为依托，以问题为导向来组织教学内容。最后给出了一个内容组织紧凑、知识展示直观清晰的教学案例。
재기우지식배경적계산궤과정교학사상적계발하，아문탐토료리산수학과정중집합론부분적학습방법급도경。근거집합론부분적지식특점，대집합론상관적배경지식진행정리화분석，천술료기우지식배경적조직원칙화방법。장집합론적삼부분핵심지식：유한집화무한집、가수집화불가수집、집합적기수급비교，여지식배경진행유궤결합。이지식배경위의탁，이문제위도향래조직교학내용。최후급출료일개내용조직긴주、지식전시직관청석적교학안례。
Inspired by computer courses teaching thought based on background knowledge, we discussed the learning method of the set theory in discrete mathematics course. According to the knowledge characteristics of the set theory section and the collation and analysis of the set theory background knowledge, it was elaborated the organizational principles and methods based on knowledge background. Organically combined the three parts of the core knowledge of the set theory, including finite sets and infinite sets, countable sets and uncountable sets, cardinality and the comparison between collections with the background knowledge. Based on the background knowledge, problem-oriented ways was applied in organizing teaching content. Finally, we present a compact content organization and intuitive knowledge demonstrated teaching case.