浅谈“线性代数”学习中学生创新与应用能力的培养——以行列式的按行(列)展开法则为例  

On the Cultivation of Students’ Innovation and Application Ability in Linear Algebra Learning--Taking Determinant Expansion by Row or Column Rule as an Example

作　　者：万前红 郑立景[2] WAN Qianhong;ZHENG Lijing(School of Science,Hunan University of Technology and Business,Changsha,Hunan 410025;School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001)

机构地区：[1]湖南工商大学理学院,湖南长沙410025 [2]南华大学数理学院,湖南衡阳421001

出　　处：《科教导刊》2021年第29期144-146,共3页The Guide Of Science & Education

基　　金：湖南省普通高等学校教学改革研究项目,线上线下混合式《线性代数》金课建设的研究与实践(编号:HNJG-2020-0628);2020湖南省一流课程《线性代数》;基于翻转课堂的船山学院《高等数学》课程教学模式新探,南华大学船山学院高等教育研究与改革课题重点项目(编号:2017CZ002)。

摘　　要：线性代数的概念多且抽象,这是线性代数学习的难点之一。下功夫去探讨新概念和新知识的引入,寻找各个概念之间的联系是解决线性代数概念多且抽象问题的手段之一,同时可以提高学生数学思维、数学理解、数学应用等方面的创新能力。本文通过具体的教学实例来分享如何在线性代数教学中实现这个目标。The concepts of linear algebra are many and abstract,which is one of the difficulties in learning linear algebra.Efforts to explore the introduction of new concepts and new knowledge,and find the connection between each concept,is one of the means to solve the difficulties above,and improve students’ innovative ability in mathematics thinking,mathematics understanding,mathematics application at the same time.In this paper,we give a specific example to share how to achieve this goal during the teaching of the linear algebra.

关 键 词：行列式按行(列)展开法则 克拉姆法则 逆矩阵 伴随矩阵 

分 类 号：G424[文化科学—课程与教学论]