几何思想在线性代数教学中的融入

Merging Geometrical Thought into the Teaching of Linear Algebra

线性代数是大学理工科专业重要的基础课程之一。这门课程概念多、定理多、运算规律多,内容相互交错,使得初学者在接受上产生困惑,难以入门。解决这一困惑的重要途径之一是给出这些概念的几何背景。文章主要通过对几何思想在线性代数教学中的系统融入的重要性和可行性的探讨,为线性代数的教学实践提供一个理论上的参考。

Linear algebra is one of the most important and basic courses for science college students.This course having many abstract concepts,theorems,operation laws,students often feel frustrated and discouraged at the beginning.This is a difficulty.To surmount it,the geometrical backgrounds of the concepts in linear algebra should be introduced in the course.This paper first discusses the importance of systematically merging geometrical thought into the teaching of linear algebra and then explores its feasibility with a view to providing a theoretical reference to linear algebra teaching.