1, the transition from solving problems to giving lectures

It is better to say it than to understand it. Students should not only be satisfied with creating topics, but should change their position into students who can talk about topics. They usually take the initiative to communicate with their classmates around them and discuss their own answering methods and ideas. So I like to let students tell me that I only do evaluation and adjustment.

2, grasp the analogy bypass

The elegance of mathematics is that it is a methodological science, and there are various methods within the scope of basic elements and concepts. Therefore, students must master analogy when studying and solving problems. To sum up, while doing the basic questions well, we should do more variant questions and find the connection between knowledge points, that is, the real significance of learning mathematics subjects lies in drawing inferences from one another.

3. Develop thinking ability

To reach a certain height, mathematics must attach importance to cultivating thinking ability and establish scientific logical thinking standards. There are two main ways to cultivate thinking ability: one is to learn from graphic reasoning, to study flexibly and to use reduced mathematical thematic thinking. Then do some difficult questions appropriately and enjoy the interest in solving problems.

Mathematical thinking method

First, change thinking.

Transforming thinking is both a method and a kind of thinking. Transformational thinking refers to changing the direction of the problem from one form to another from different angles when encountering obstacles in the process of solving problems, so as to find the best way to make the problem simpler and clearer.

Second, logical thinking.

Logic is the foundation of all thinking. Logical thinking is a thinking process in which people observe, compare, analyze, synthesize, abstract, generalize, judge and reason things with the help of concepts, judgments and reasoning in the process of cognition. Logical thinking is widely used to solve logical reasoning problems.

Third, reverse thinking.

Reverse thinking, also known as divergent thinking, is a way of thinking about common things or opinions that seem to have become conclusive. Dare to think in the opposite direction, let thinking develop in the opposite direction, explore deeply from the opposite side of the problem, establish new ideas and create new images.