It is impossible to produce a successful education system in a vacuum, that is, there can be no institutional education that has nothing to do with the existing intellectual environment. It must be modern, otherwise it will be doomed to extinction like all living things. Topic: It is not appropriate to teach abstruse courses in general education.

Three elements of mathematics

Mathematics consists of numerical relations, quantitative relations and spatial relations.

Teaching objectives

The goal we want to achieve is to make students familiar with abstract thinking, realize how abstract thinking is applied to special and concrete environments, and know how to use general methods in logical investigation and research.

Learning mathematical theorems

In view of this educational ideal, nothing is worse than blindly adding theorems in our textbooks, and the only reason why those theorems appear in textbooks is to let students learn from them, and then teachers can skillfully set questions and take exams according to these theorems.

Mathematical thinking training

My point is that the purpose of learning mathematics is not to blindly accumulate special mathematical theorems, but to finally understand the relationship between number and space. This is the most important training and must be the basis of all philosophical thinking.

Application of Mathematical Theorem

The general purpose of mathematics should be to simply study some general theorems and give powerful explanations through examples.