一个都不能少——基于课程思政的“向量组极大线性无关组概念”教学设计  

Not One Less——Teaching Design of“Maximal Linear Independent Set of Vectors”Based on Ideological and Political Courses

作　　者：孟凡云[1] 陈伟[1] MENG Fanyun;CHEN Wei(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《大学数学》2023年第3期107-112,共6页College Mathematics

基　　金：国家基金面上项目:鞅空间中的加权不等式及其应用(11971419);扬州大学教学改革研究课题项目:线性代数线上和线下混合式教学研究(YZUJX2020—D11)。

摘　　要：“向量组的极大线性无关组”概念既抽象难懂,但又很重要.本文基于HPM视角来进行教学设计,采用历史上欧拉解方程提出“一个都不能少”问题组织教学,贯穿整个教学过程,形成对“极大线性无关组”概念性理解的思维链.通过电影“一个都不能少”将线性表示思想生活化,期望在“课程思政”的方法上有创新.The concept of“Maximal Linear Independent Set of Vectors”is abstract and difficult,but it is very important.Based on the perspective of HPM,this paper adopts the problem of“Not one less”put forward by Euler to organize teaching,which runs through the whole teaching process and forms the thinking chain of the conceptual understanding of“Maximal Linear Independent Set”.We brings the mind of linear representation to the life through the film“Not one less”,and expects innovation in the method of“Ideological and Political Courses teaching”.

关 键 词：向量组的极大线性无关组 向量组的秩 欧拉方程 《九章算术》 

分 类 号：O151.2[理学—数学]