First, the class status
First of all, I think mathematics is different from other disciplines, and it focuses on understanding. Be sure to listen carefully in class, no matter what examples or mathematical formulas you are talking about.
Many students think that teachers don't have to listen when they talk about mathematical calculations, because they can't pass the exam. But in fact, although we will not directly test the formula, we will test the application of the formula. Formula reasoning will help you better understand and apply formulas, so be sure to pay attention.
On the other hand, we must listen to the teacher carefully and understand the teacher's problem-solving ideas. Sometimes we think it is enough to do this problem, but it is far from enough. We should not only do a problem, but also learn other ways to solve it. Sometimes a teacher will have multiple solutions to a problem, so we must listen carefully to the teacher's explanation.
Second, good study habits.
Two habits that must be done in learning mathematics are "preview" and "review".
Preview can help us build a knowledge framework, have a general understanding of what we want to learn in advance, let us understand what we can and can't do, and help us concentrate on solving problems in class and pay more attention to what we can't do.
We can study the textbook carefully when we preview, and we should carefully understand every sentence in the textbook. Especially the examples in textbooks are mostly representative, so we should pay attention to their format and problem-solving ideas.
When previewing, we can also do after-school exercises and our own workbooks. There must be problems that we can't do at this time, but don't worry. After class, we will listen to the teacher explain the content, and then take seriously the problems that we can't do in preview.
We must review after class. We can review by reading class notes and doing more exercises. Ask the teacher in time if you don't understand anything, so that you can finish it today and you won't accumulate knowledge you can't.
Third, the wrong book.
Prepare a wrong book. Many people may say that I have also made a wrong problem book and sorted out the wrong problems, but there is still no progress in mathematics. Instead, it took a lot of time to sort out the wrong questions, which led to a decline in efficiency. What I want to say is that when sorting out the wrong questions, we must pay attention to the sorting method and not blindly copy the questions and answers. The most important thing is to know where you are wrong.
In fact, I always think that the best way is to sort out the whole math paper. In addition to the finale, you must have good questions and bad questions. Write down the bad questions together, you can continue to read them next time, and at the same time let yourself know your weaknesses at a glance and consolidate this knowledge point.
On the other hand, we have to analyze our own topic "What will go wrong?" There are always various reasons for wrong questions, but the most common ones are "sloppy" and "can't do it". If you are just sloppy, you will only record the answer and make a warning mark next to the question. If it is a new problem, the whole problem-solving process will be recorded for better understanding in the future.
Of course, after remembering the wrong questions, don't feel that everything is finished. Be sure to take it out and count it several times. Ask the teacher in time if you have any questions, and constantly look for weak knowledge points to consolidate.
Fourth, do more questions.
The most important thing in mathematics is to do more problems, constantly consolidate knowledge points through doing problems, and constantly see new problems through doing problems, but also do problems selectively. Don't always choose what you know and simple, but choose some challenging ones. Don't blindly pursue speed when doing problems. First of all, we should improve the quality of doing problems, and then pursue speed.
There are also many papers on the market. When choosing examination papers, you must choose those with good quality, instead of doing everything. You can choose examination papers such as "examination questions survey" and "golden examination papers".
Learning mathematics well is a long process. We should study hard and persistently. Don't be afraid. I believe everyone can beat themselves and learn math well.