从APOS理论出发构建连续映射的概念  

Constructing the concept of continuous mappings by the APOS theory

作　　者：李启慧 LI Qihui(School of Mathematics,East China University of Science and Technology,200237,Shanghai,PRC)

机构地区：[1]华东理工大学数学学院,上海市200237

出　　处：《曲阜师范大学学报（自然科学版）》2023年第2期118-122,共5页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11671133).

摘　　要：文章利用A(action)P(process)O(object)S(scheme)理论由易至难逐渐在不同情境下对连续映射的概念进行讨论和课程设计.经教学实践可以看出,这种方式比直接灌输知识更容易让学生理解新概念的数学本质和内涵,并更进一步帮助学生理解与新概念相关的其他数学概念,从而顺利构建认知结构.By applying the A(action)P(process)O(object)S(scheme)theory,the definition of continuous mappings is constructed step by step.The teaching practice shows that helping student to construct a mathematical definition based on the APOS theory is a better way to learn a new mathematical concept.This method will allow the students to comprehend the fundamental ideal of a new concept.Furthermore,this method will help students to set up their own comprehension of related mathematical concepts.

关 键 词：APOS理论 映射 映射的连续性 

分 类 号：G642.1[文化科学—高等教育学]