基于数形结合思想的线性代数教学实践

Teaching practice of Linear Algebra based on the thought of combination of numbers and shapes

线性代数抽象难懂,教学实践中教师往往让学生死记硬背计算方法,学生学习深度不够。将线性代数的主要理论做降维处理,在低维下通过几何直观给出几何解释,进而再将理论进行高维推广,可以加深学生的理解,有效增强教学效果。

Linear algebra course is abstract and difficult to understand. In teaching practice,teachers tend to make students memorize calculations. The depth of students＇ learning course is not enough. The main theory of linear algebra is reduced in dimension,and geometric interpretation is given through geometric visualization at low dimensions,and then the theory is generalized at high dimensions,which can deepen students＇ understanding and effectively enhance teaching results.