线性代数课程结合几何直观的启发式教学法探讨

Discussion on Heuristic Teaching with Geometric Intuition in the Course of Linear Algebra

线性代数课程的概念,定理和方法具有很强的逻辑性和抽象性。本文探讨线性代数课程中结合几何直观的启发式教学方法。利用对行列式、线性相关性、线性方程组、施密特正交化等重要概念,定理和方法的几何直观解释,教师可激发学生学习兴趣,启发学生自我思考,从而提升学生的抽象思维能力。

The concepts, theorems and methods of the course of linear algebra are very logical and abstract. This paper discuses heuristic teaching with geometric intuition in the course of linear algebra. Using geometric intuition explanation of important concepts, theorems and methods, such as determinant, linearly dependence, linear systems and Schmidt orthogonalization, teachers can arouse students’ learning interest, inspire students’ self-thinking, and then improve students’ abstract thinking ability.