从应用实例出发的线性代数教学模式探讨

Teaching Mode of Linear Algebra by Virtue of Application Examples

线性代数教学过程中普遍出现重理论轻应用,剥离概念、原理和范例的几何背景与现实意义的现象.这导致教学内容过于抽象,不利于与专业知识衔接,进而造成学生＂学不会、用不了＂的局面.因此,线性代数教学应采取理论联系实际的教学方式：借助对比、设定教学情景、联系应用背景等形式逐步地引导学生理解线性代数的基本原理,应用线性代数知识解决实际问题.从而,提高学生的学习热情和活跃课堂气氛,达到良好的教学效果.

There are some common problems in the teaching of linear algebra, such as putting more emphasis on theory than practice, separating definitions, principles, and examples from background on geometry and application. This leads to the teaching material too abstract and it is hard to establish the connection between the different contexts. As a result, students work poorly both in learning theory and practical application. In order to solve this problem, this paper explores a new teaching mode by integrating theory with practice, in which students are guided step-by-step to learn the basic principles and solve practical problems via comparative thinking, teaching scenes and application background. Thus, the students＇ enthusiasm and classroom atmosphere can be imoroved, and teaching effects can be well achieved.