山东农业大学学报（自然科学版）Issue(z1)：106-113,8.DOI:10.3969/j.issn.1000-2324.2014.z.025
基于知识背景的离散数学课程集合论的教学实践
Teaching Practices of the Set Theory in Discrete Mathematics Based on Background Knowledge
摘要
Abstract
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.关键词
离散数学/知识背景/集合/无限/可数集/基数Key words
Discrete mathematics/background knowledge/sets/unlimited/countable sets/cardinal number分类
数理科学引用本文复制引用
吴明芬,刘超..基于知识背景的离散数学课程集合论的教学实践[J].山东农业大学学报（自然科学版）,2014,(z1):106-113,8.基金项目
国家自然科学基金(11271040) （11271040）
广东省自然科学基金(S2011010003681) （S2011010003681）
江门市科技计划项目(20120030093981,20120030096094,20130100230255) （20120030093981,20120030096094,20130100230255）
中国科学院计算技术研究所智能信息处理重点实验室开放课题基金(No.LIP2010-5)资助 （No.LIP2010-5）
