关于高等代数教学中难点知识化解方法的研究

Discussion on the Method of Knowledge to Resolve Difficulties in Higher Algebra Teaching

高等代数教学中经常会碰到两类难点:一类是跨章节的难点知识.这类难点的主要问题是分布零散,学习时抓不住重点和主线,化解这类难点最有效的方法是对相关章节内容进行梳理、研究、总结及拓展;另一类则是抽象易混淆的难点知识.这类难点的主要问题在于抽象难懂并且容易混淆,学习时常常感到在现实生活中得不到印证.而攻克这类难点最有效的方法是实现抽象知识的直观化,把代数知识与几何直观相结合.

Two difficult knowledge points are often encountered in Higher Algebra Teaching. One is the difficult knowledge points crossing sections, the main problems of which is that the knowledge is scattered, and it is hard to grasp the emphasis and main lines in learning. The most effective method to solve this kind of problems is to sort out, study, summarize and develop related chapters. Another is the abstract and confused difficult knowledge points, which are hard to too abstract to understand and one is easy to be confused, for one would find it is hard to learn that in real life. The most effective method to overcome the difficulties is to realize the visualization of abstract knowledge, and combine algebra knowledge and geometry together.