浅谈线性代数教学中的直觉思维的培养  

On the Development of Mathematical Intuitive Thinking Ability in the Class of Linear Algebra

作　　者：陈冬君[1] 叶永升[1] CHEN Dong-jun;YE Yong-sheng(School of Mathematics, Huaibei Normal University, Huaibei Anhui 235000, China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《大学数学》2020年第4期49-52,共4页College Mathematics

基　　金：安徽省教学研究项目(2017jyxm0216,2017jyxm0214);安徽省精品开放课程(2017kfk042);安徽省教学团队(2017jxtd146);淮北师范大学教学研究项目(jy2017105,jy2017111)。

摘　　要：直觉思维是数学思维的重要内容之一.直觉思维具有非逻辑性、直接性、随机性、不可靠性等特点.本文从《线性代数》中分块矩阵可逆的一个例子出发,浅谈直觉思维的重要性,并着重分析如何规避直觉思维的不可靠性的特点.Intuitive thinking is one of most important mathematical thinking styles.It is featured by illogicality,directness,randomness and unreliability.In this paper,base on a topic about the invertibility of partial matrices,we will analyse how to develop the ability of intuitive thinking.Meanwhile,we also give some suggestions on avoiding the unreliability of it.

关 键 词：分块矩阵 可逆 直觉思维 

分 类 号：O175.1[理学—数学]