《线性代数》教学改革探索与实践

Exploration and Practice of the Teaching Reform for Linear Algebra

如果把线性代数比喻成一个人,线性代数的知识体系就是骨架,基本概念和基本理论就是肌肉,背后的思想才是灵魂。如何探索线性代数背后的思想和灵魂呢?我在教学中经常采用以下的三种教学方法:强化几何背景;以问题为导向,以学生为主体;弱化演算过程,增强应用性问题。

If linear algebra is compared to a person,the knowledge system of linear algebra is the skeleton,the basic concepts and theories are the muscles,and the thoughts behind are the soul.How to explore the thought and soul behind linear algebra?I often use the following three teaching methods in my teaching:strengthening the geometric background;take problem as the orientation and student as the center;weakening the computational process and enhancing applicability issues.