In fact, it is not only mathematics, but also any subject. If you eat the knowledge in the textbook thoroughly, you will get 80% in the exam. Only this point is particularly obvious in mathematics, because the basic theorems and formulas, as well as their disguised applications, are the most examined in junior high school mathematics. In our daily study, we can deeply understand the textbook from the following angles: 1, and find out how many chapters there are in the textbook, and what each chapter mainly talks about, that is, we are familiar with the knowledge framework. ? 2. What are the basic questions of each chapter? ? 3. List the knowledge framework and basic questions as an outline and read them repeatedly. ? Familiarize yourself with and supplement the above outline by doing the questions. Method 2: Be good at summarizing. Generally speaking, it can be summarized from the following points: 1, summarizing the solution, paying special attention to the phenomenon of multiple solutions to one problem and multiple solutions to one problem. ? 2. Summarize the big questions. Summarize the problems first, and then summarize the methods. ? 3. Summarize the mistakes. If you have any questions, please ask your teacher or classmate immediately. After a period of training, I am not as confused as a headless fly when I pick up the topic again. ? Method 3: Rational use of examples Students may wish to do it from the following two aspects. ? 1, after-class analysis, seeing examples and understanding the examples in class does not mean that you have the ability to solve problems and transfer knowledge. After class, we need to re-examine and analyze the examples from a new angle. Due to the mastery of new knowledge, the expansion of knowledge and the guidance and teaching of teachers, we have different understandings of difficulties when we look at examples and enter a higher level. You will have a deeper understanding of the application of basic knowledge, the choice of analysis and reasoning methods. If you don't look at the examples after class, your thinking will stay at a shallow level, and you can't complete the transformation process from shallow to deep, from the outside to the inside. ? 2. Homework reasoning, knowing examples and doing problems are the most important and effective ways to use knowledge to solve problems and improve their abilities, and they are also the key to learning mathematics well. When doing homework, we must first identify the examples, that is, what kind of examples this problem belongs to in this chapter; Secondly, we should recall how the teacher solved the problem in class, then analyze several problem-solving methods, and finally make clear which method is the easiest. If you can't remember clearly or forget the examples you have learned before, you should take time out to read, analyze and remember. Method 4: Do you have to learn the wrong book learning method? The learning method of "wrong title book" is said to be the first learning method advocated by Japan in the 1970s. What matters is not the number of wrong questions, but the quality of sorting. In other words, you are not sorting out a problem, but a problem and your own shortcomings. In fact, there are only three wrong ways to do this: 1, check the answer, put a red cross on the wrong question, write the correct answer next to it with pens of different colors, and then do this question until you get the correct answer. ? 2. Set up a wrong question book, copy every wrong question on it, and have a look before each exam. ? 3. Extract abstract error reasons from the wrong questions, and summarize them into rules that should be paid attention to in the future, and have a look before the exam. By reviewing your mistakes before the exam, you can generally avoid the recurrence of similar mistakes. Solve the root of the error, that is, extract the abstract reasons of the error from the wrong questions, extract the characteristics of * * *, sum up the rules that should be paid attention to in the future, and have a look before the exam. You might as well try. Of course, as far as the learning method of the wrong textbook is concerned, there is still a very practical problem, that is, how to use it conveniently. I'm introducing some feasible methods to you. For example, nail the finished papers together, and then mark the wrong topic on the head of each paper. In this way, when you open the paper, you will know which questions are wrong, so you don't have to waste time wandering around. Another example is to arrange the wrong questions according to the chapters where the knowledge points are located, which is convenient for analyzing the reasons for the mistakes. Also, you can add your own comments after each wrong question and write down the reasons for your mistakes. Look at your notes before the exam, it will be very rewarding. ? In fact, good learning methods vary from person to person. I hope today's introduction can provide some help to everyone. I also hope that students who have made achievements in math learning can communicate with you more, so that we can make progress and improve together. Method 5: An effective way to attend classes? The teacher is an experienced preacher, who is very clear about the context, problems and difficulties of knowledge and has a systematic content. Therefore, listening attentively in class is a shortcut to master knowledge. ? Be sure to be consistent with the teacher's thinking when listening to the class, and listen to how the teacher analyzes and infers things; Listen to what methods and skills the teacher uses to solve problems; Listen to the teacher's questions and explanations. Only in this way can we grasp the key points of the lecture. ? In listening, you should compare your understanding in preview with the content explained by the teacher to see what are the similarities and differences between yourself and the teacher. Through this comparison, we can deepen our understanding of the text; The second is to strengthen their own thinking, understanding and improvement; Third, you can find out the reasons for your preview mistakes. ? Listening is always accompanied by thinking. Listening without thinking is stupid, thinking without listening is absent-minded. Listening and thinking are combined and synchronized, which is listening. When what you hear matches what you think, the idea is confirmed; If what you hear contradicts what you think, you should go further and find out why. If you don't understand, you can't let it go easily. ? Learn to take notes during class. Listen with your ears, think with your head, and write with your hands. Reasonable use of notebooks, notebooks have three functions:? Is to make a preview record to clarify the purpose of class; Second, it is used to record the overall thinking or blackboard writing style explained by the teacher in class, which is helpful to grasp the knowledge structure or knowledge points as a whole; Third, it is conducive to the after-class summary, which is used to analyze the lecture content in detail, so as to digest, absorb and consolidate the knowledge learned and leave it for later review? A complete piece of information. ? Please remember: this class is only 45 minutes, so it is impossible and unnecessary for the teacher to explain all the questions clearly. He only talks? Some of the most important and essential parts, many small and specific problems need to be solved by students themselves after class. The main purpose of the teacher's lecture is to guide students to learn by themselves. Only when students solve problems independently can they truly understand and master knowledge, improve their problem-solving ability and lay the foundation for improvisation during the exam. Several problems often appear in mathematics learning in Grade One: 1, and the understanding of knowledge points stays at a half-baked level; 2. We can never master the key mathematical skills of solving problems, treat each problem in isolation, and lack the ability to draw inferences from others; 3. When solving a problem, there are too many small mistakes, and the problem can never be completely solved; 4. The problem-solving efficiency is low, and a certain number of problems cannot be completed within the specified time, which is not suitable for the examination rhythm; 5. I haven't formed the habit of summarizing and summarizing, and I can't habitually summarize the knowledge points I have learned; Then how can we lay a good foundation for mathematics in senior one? (1) Explore concepts and formulas carefully. (2) Summarize similar questions. (3) Collect your own typical mistakes and questions you don't understand. (4) Ask and discuss questions you don't understand.