Taking notes plays an important role in improving learning efficiency and learning effect. On the one hand, notes are eternal memos, which can bring convenience to future review. On the other hand, taking notes can overcome the limitations of brain memory. As the saying goes, "Good memory is worse than bad written memory". Most students can only recall roughly, and it is easier to forget the knowledge about mathematics. It is very necessary to take notes. Third, taking notes can fully coordinate the work of various senses and make the functions of various senses play a harmonious role. For mathematics, it is unrealistic to think too much and record it in detail, so we should have scientific recording methods, remember what we should remember and listen to it. So how do you make good math notes? Let's talk about specific practices first. The outline is clear at a glance. Some students report that taking math notes in class often feels that it is too late to remember after listening, and it is too late to listen after recording. In fact, there is no need to write everything down, it should be detailed and appropriate. Remember the outline well, so that part of the content will be clear after learning, and then you can recall and supplement it according to the outline. There is also the question of writing an outline. If a piece of content has been previewed before or touched on appropriate occasions, it can be concise when recording. If it is new or difficult to understand, it should be properly detailed, especially some classic explanations, and we should lose no time to comment under the outline. With an appropriate outline, we can supplement and improve the notes and deepen our understanding and grasp of the relevant content. Remember, thinking follows the map. It has been said that mathematics teaching is essentially problem-solving teaching. Although it is somewhat biased, it can also reflect the inherent law of mathematics learning from a certain aspect. In mathematics learning, the development of some thinking and the improvement of ability can not be separated from the training of solving problems. Generally speaking, to solve a problem, we should analyze the meaning of the problem, explore the methods, construct the strategies, express the process, and test the mathematics. , is a complicated process, and time is not allowed to take notes, which easily leads to forgetting one thing and thinking about one thing. So, remember that thinking is practical and effective. With ideas, just like navigation lights, there is naturally a route and direction to go forward. Remember that thinking should also be tailored to local conditions. If a difficult question is still unclear, difficult to understand and relatively vague after listening to or reading it, then remember the train of thought in detail and remember the conclusion to facilitate review and thinking. Remember to focus on the beginning and end first. Some students mistakenly think that the beginning is not a text, and the end is a repetition of the text. It doesn't matter whether you listen or not. In fact, at the beginning of the teacher's lecture, some were concise and talked about all the key points, some were persuasive, quoted classics, and moistened things silently. Therefore, you can make a clear outline from the beginning, grasp the key points and make targeted records. Although there are not many words at the end, it is a good reminder for refining and reviewing this section. In a word, the beginning and the end echo and inspire each other. If you pay close attention, you will get benefits. We should also pay close attention to what the teacher has repeatedly emphasized. The key content will be emphasized repeatedly in class. Sometimes, in order to attract attention and highlight key points, teachers will frame it, draw lines or write with colored pens. Clear key points, our records can be detailed and appropriate, and the latitude and longitude are clear. When recording the key points, we should also lose no time to write down the classic examples of the analysis content and clever solutions to break through the key points. It is normal to remember the difficulties and trace back to the source. Encountering difficulties shows that the newly learned knowledge or methods have surpassed. If we find difficulties and overcome them, it will undoubtedly be an improvement. Otherwise, it shows that we have not surpassed learning, but are consolidating and improving our proficiency. Taking notes is an important content for us. No matter in the process of self-study or class, we should seize the opportunity to record the problems we find, because problems usually arise in the process of learning new knowledge or exploring problems, which is our confusion in progress. Will flash by, not recorded in time will be inexplicably forgotten, leading to intangible losses. Write down the difficulties and the direction of the difficulties will be clear. We should seize the difficulties, solve them one by one in time and make continuous progress. Never accumulate problems, because too many difficulties will make people lose confidence in overcoming difficulties and lose their passion for learning. In the teaching process, teachers often give wonderful examples and metaphors, that is, add a classic example or appropriate metaphor to introduce concepts, break through difficulties, strengthen key points, explain methods or optimize thinking. Some will make us suddenly realize, and some will make us remember. It is convenient to write down the supplementary contents, so that we can give full play to these supplementary contents in the process of learning, deeply understand the knowledge and firmly grasp the methods. The textbook is the outline, and the textbook is the book. The content of the textbook is highly concentrated and concise. Difficulties will inevitably be encountered in the learning process, and it is necessary to supplement some contents appropriately. On the one hand, write down the supplementary content of the teacher in class, on the other hand, when learning other reference books by yourself, we should also collect recorded cases and take a multi-pronged approach to enrich and enrich the learning content. Remember to sum up, people who can learn from a strategic position can always learn from thin to thick, and then from thick to thin. From thin to thick, it is a process in which learners constantly think, supplement and ask questions. From coarse to fine, that is, learners are good at summing up, clarifying the key points, difficulties and keys, and forming a knowledge network. After listening to each class, the teacher will summarize or guide the students to summarize the essence of what they have learned, so as to be highly summarized and concise. Record the content of the summary, so that the relevant content learned becomes clear at a glance. If I can give a concise summary, it shows that this part of knowledge has been deeply understood and the methods are handy. Summarize the existing series. Each class has induction, the content of each chapter should be summarized through review, and the staged knowledge and methods should also be sorted out at the middle and end of each semester. In the summary, we can not only give a summary of each unit, but also sort out the internal relationship between the knowledge and methods of related units to form a knowledge system, so as to pay attention to one thing and lose another. Learning, memory and feeling unconventional can be divided into three levels. One is "understanding", that is, understanding the content explained by the teacher or the relevant content in the book, which is the primary level of learning. The second is "meeting", which requires you to do it yourself and use your head to imitate the practice. The third is "enlightenment", that is, to realize the truth learned, to realize the law of the practiced methods, and to grasp it in essence. This is the high level of learning and the effect we pursue. Perception is also divided into multiple levels. We can start with the experience of learning each paragraph, write more if there is something, and write less if there is nothing, then summarize and comment on relevant methods and review the methods and ways of key breakthroughs and difficult interpretations. Long-term persistence can form habits, improve the level of perception, grasp the main points, grasp the spiritual essence, promote the formation of methods and improve thinking ability.