First of all, teachers must listen carefully and finish their homework carefully, which is a necessary condition for learning mathematics well, and its importance goes without saying. In addition, the school sometimes orders some teaching AIDS for students, which can be fully utilized. Some extraordinary students can strengthen the depth and breadth of learning, but the basic skills-basic knowledge can never be ignored.

Secondly, we should pay attention to efficiency. Don't do "repetitive work", each preview should have a clear purpose. Here, I want to make it clear that too many reference books are unnecessary. Reading one reference book is often better than reading two, but not reading it. The famous mathematician Hua said: "When reading, the more you read, the thinner you get." In other words, we should grasp the basic clues and spiritual essence of the commander-in-chief book.

This reminds me that every student is weaving a knowledge network for himself while learning knowledge. Its main function is to link what he has learned and improve learning efficiency. Knowledge networks should be properly woven. Too sparse, can not let their thinking extend in all directions, free; Too dense, it will affect the clarity of the main line, not worth the loss. Let's take an example here: a classmate usually studies hard and does a lot of math problems, but he doesn't understand the main idea. In order to "leak-proof", he takes almost every sentence in every reference book as the focus. What is more sad is that in the process of repeated work, he never arranges his long thoughts in an orderly way, and some questions asked by teachers and classmates are often "low-level"-just turn his head a little! Because he doesn't pay attention to the sense of solving problems, his grades have not improved, which is the consequence of the book "getting thicker and thicker". Mathematics problem-solving is often very flexible, and everyone has their own problem-solving ideas to improve learning efficiency.

Many math problems are intriguing. Solid geometry allows us to understand the art of space, and mathematical induction allows us to appreciate the skills of proof ... China football team coach milunovic advocates "happy football", so we might as well enjoy mathematics and experience the fun it brings. Think more, enjoy more and gain more. This is my third point. In the usual study, you must leave a considerable number of topics for yourself to fully think about, especially the more difficult ones, even if you think for an hour or even longer. To solve a difficult problem, as long as it is fully considered, even if it is not done, the whole thinking process is valuable. Because difficult problems are often comprehensive and have strong ability, and require high continuous divergent thinking, solvers often have a long exploration process. In the whole process of exploration, problem solvers keep looking for breakthroughs, constantly hitting a wall, constantly adjusting their thinking power and making progress. At the same time, the problem solver tried a lot of knowledge and skills he had learned, which had a good review effect. Problem solvers also test their mastery of relevant knowledge by doing problems, so as to set appropriate goals for their future study. I remember that there is an inequality proof problem in the magazine "Middle School Mathematics", which is quite difficult. I thought hard for four hours and finally came up with a better plan than the reference plan. This makes me ecstatic, and of course it also gives me a deeper understanding of this inequality. By the way, thinking more is a good way to cultivate a person's comprehensive ability in mathematics, but some students often ignore the calculation ability and practice. Although calculators can be used in exams (not in competitions), calculators cannot perform algebra, analysis and trigonometry. Unfortunately, sometimes the students' thinking of solving problems is right, but the calculation is wrong, which leads to the final mistake. One of the reasons why I am not good at analytic geometry is that it requires a lot of calculation. If the method used is not good, the calculation will be more complicated and error-prone. I hope readers will work together with me to make themselves have excellent computing ability.

In addition to the above three points, I think, whether in the learning process or in the review stage, we should pay attention to the adjustment of mentality. There are many reasons for failing an exam. It may be that the knowledge is not firm, that the problem-solving feeling is not in place, that the calculation mentioned above is wrong, that the conditions are not good, that it may be a special reason, or that the mentality is unbalanced because I want to do well in the exam. I think a person's mentality should not be excessively influenced by test scores. Always remember that sufficient accumulation is the guarantee of stability. Study hard at ordinary times, and take time out to do a certain amount of exercises with moderate difficulty when reviewing before the exam, so as to improve the proficiency in solving problems and enhance confidence. Stay calm and excited during the exam, which may burst into endless energy. Of course, at any moment, we should also remember one sentence; "Be content only with progress, not with success."

Some students are knowledgeable, but their divergent thinking ability is poor. In this regard, you can buy some divergent thinking synchronization counseling books. (Note: I don't know much about the book market. I think students might as well think backwards, adapt or even make up some questions and answer them themselves. First, you can review the topics you have done so that you can solve similar problems more skillfully; Secondly, we can explore whether or how subtle changes in conditions affect the process of solving problems. In addition, you can also get a preliminary understanding of the proposition ideas, thus broadening the ideas and deepening the problem-solving ideas.

Making up a topic makes it easier for you to draw inferences. Although compiling a new problem is often several times more difficult than solving an exercise, the gains gained through divergent thinking in the process of compiling the problem are often greater than doing ten problems. Spending a small amount of time sorting out and solving problems is also a good way to explore and learn.

The above is my learning experience, for reference only. One thing needs to be explained, because of their different situations, everyone has gradually formed a learning method suitable for them, which only needs to be properly adjusted and does not need to be deliberately changed. In fact, learning mathematics and other subjects can learn from each other. Bottom line: things can be done well if you are willing to use your head.