In my opinion, to learn math well, you can simply say "understanding plus practice". Remember to learn math by rote. To fully understand its meaning, it is best to express it correctly in your own language. Specifically, the understanding of concepts requires four skills: correct narration, judgment, example and application. The understanding of laws, formulas, theorems and properties requires a clear understanding of conditions and conclusions, a mastery of reasoning ideas and methods, an understanding of reasoning processes, and flexible use of the conclusions drawn. To understand the example, you should try to understand the meaning of the question clearly, try to solve it yourself first, and then compare it with the answers in the book. Through reflection, you can sum up the rules and methods of answering such questions. Pay attention to the discovery of problem-solving ideas and the summary of problem-solving methods. Learning mathematics is to cultivate our abilities of calculation, thinking, logical reasoning, problem analysis and problem solving. However, "ability" is a skill, which cannot be formed without necessary training. An American mathematician said: The only way to learn mathematics is to "do mathematics". The so-called practice is to complete a considerable amount of practice. We know that Chen Jingrun, a famous mathematician in China, made a breakthrough in Goldbach's conjecture and shocked the world, but he used several sacks of draft paper! It can be seen how important practice is. Everyone must work hard to finish the exercises in the textbook independently. Students who have spare capacity should also read some extra-curricular books, such as Mathematics for Middle School Students and Mathematics Weekly, which can broaden their horizons and improve their mathematics level. In addition, students who have the opportunity and conditions should actively participate in various math competitions to exercise and cultivate themselves. When doing a problem, it's best to have multiple solutions to one problem, and one problem is changeable, sum up experience, master skills and techniques, draw inferences from others, and discover the "universal method", which will be useful for life.
In the process of learning, we have to overcome the following problems. Now, some students can't read math books. They just use books as exercise books. As soon as the teacher spoke, they did their homework and finished it. In fact, reading math books is very important, so you must pass the reading barrier. Reading math books requires "three readings". That is, initial reading, intensive reading and intensive reading. "First reading" is the usual preview. Read the full text before class, understand the content, and mark the unknown places, so that the teacher can pay special attention to it in class. "Close reading" means reading the textbook in detail in class or after class, and reading it repeatedly in unclear places to understand all the knowledge points. As the saying goes, reading a book a hundred times is self-evident. This is a fact. At the same time, we should understand the memory according to the teacher's explanation. "Intensive reading" refers to in-depth exploration of individual contents, bold ideas, broadening ideas and creative reading on the basis of intensive reading, which can doubt the conclusions in the book. Many mathematicians made a blockbuster and achieved success. For example, Mr. Hua, a famous mathematician in China, denied the formula for finding the roots of higher-order equations in and began to move towards the master of mathematics. For more than two thousand years, dividing lines into equal parts by parallel lines has been the only method introduced in books, but two years ago, an American middle school student and his teacher discovered a new method, which made them famous in the United States and the world. Descartes, the father of analytic geometry, said, "We should dare to doubt everything". Finally, we must overcome psychological barriers, and don't think that we are not born smart and are not "material" for learning mathematics. The formation of mathematical level and mathematical ability is mainly the result of acquired efforts. For a person without outstanding intelligence, non-intelligence factors are more important than intelligence factors. We should have good study habits, strong perseverance, persistent spirit of exploration, rigorous scientific attitude, indomitable will and lofty quality of winning glory for our country. Students, work hard, and the day when China leads the world in mathematics will be realized in your hands as soon as possible!