摘要
为帮助学生全面深入地理解集合概念,对数学基本思想在集合教学中的运用进行了研究。数学基本思想一般包括抽象、推理与模型,教师从集合概念的抽象性、集合关系的抽象性出发,引导学生理解数学抽象思想;从集合推理运算的基础、集合恒等式的推理与证明出发,引导学生理解数学推理思想;从计数与概率论、数理逻辑中的集合模型出发,引导学生理解数学模型思想。
In order to help students understand the concept of set comprehensively and deeply,the application of the basic idea of mathematics in set teaching is studied.The basic idea of mathematics generally includes abstraction,reasoning and model.Starting from the abstraction of set concept and its classification,students are guided to understand mathematical abstract ideas.Starting from the basis of set reasoning operation and the reasoning and proof of set identity,students are guided to understand mathematical reasoning ideas.Starting from the counting and probability theory and set model in mathematical logic,students are guided to understand the idea of mathematical model.
作者
胡乙
HU Yi(Jiangsu Vocational Institute of Commerce,Nanjing Jiangsu 211168,China)
出处
《北京工业职业技术学院学报》
2024年第1期107-110,共4页
Journal of Beijing Polytechnic College
基金
2023年江苏省高等学校教育技术研究会高校教育信息化研究课题(2023JSETKT076)。
