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

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.