1. Strictly abide by the laws of thinking and develop strict thinking habits.
Strictly abide by the laws of thinking, be rigorous in reasoning, and use reasonable words, which are the core of logical thinking. This first requires us to use concepts, definitions or theorems and formulas accurately and make logical judgments. We often encounter such a situation. When we prove that two angles are equal, there is a method called "equilateral equilateral angle". If we don't notice that its preconditions are all in the same triangle, then we will make mistakes, or make mistakes when we can't solve the problem, and a series of problems will appear, such as stealing propositions, wrong choice of arguments, self-contradiction, circular argument and so on. In order to prevent this phenomenon, we must strictly think about the law, solve problems in strict accordance with the correct way of thinking, be strict with mistakes in learning, and never be careless, and cultivate our own rigor.
2. Pay attention to the process of knowledge acquisition and cultivate the ability of abstract generalization, analysis and synthesis, reasoning and proof.
When teachers explain formulas, theorems and concepts in class, they usually reveal their formation process, but this process is most easily ignored by students. They think: I just need to understand the theorem itself and then use it. I don't need to know how they got it. This idea is wrong. Because the teacher is explaining the formation and occurrence of knowledge, he is explaining the thinking process of a problem and revealing a way of thinking and method to solve the problem, including the ability of abstraction, general analysis, synthesis and reasoning. If we don't pay attention to it, we actually miss an opportunity to learn from it, exercise and develop our logical thinking ability. The above are some math learning methods for students' reference.
The improvement of math scores and the mastery of math methods are inseparable from students' good study habits, so finally we will discuss math study habits together.
Good math study habits include: listening, reading, exploring and doing homework.
Listen. We should grasp the main contradictions and problems in class, think synchronously with the teacher's explanation as much as possible, and take notes when necessary. Every time after class, we should think deeply and summarize, so as to achieve one lesson at a time.
Reading. When reading, you should carefully scrutinize and understand every concept, theorem and law. For example, you should also learn from similar reference books, learn from others, increase your knowledge and develop your thinking.
Explore. We should learn to think, explore some new methods after solving problems, learn to think from different angles, and even change conditions or conclusions to find new problems. After a period of study, we should sort out our own ideas and form our own thinking rules.
Homework. You should review your homework first, think before you start writing, do a class of questions to understand a large area, do your homework carefully and write regularly. Only in this way can you learn math well and step by step.