The quality of students' academic performance depends largely on their learning attitude and learning methods. Especially for the first-year students, in the primary school stage, there are few subjects to learn and the knowledge content is shallow, and most of them are taught by teachers, so the learning methods that students need are relatively simple. After entering middle school, subjects are increased, contents are broadened and knowledge is deepened, especially mathematics develops from concrete to abstract, from words to symbols, from static to dynamic ... The cognitive structure of students has undergone fundamental changes. However, a considerable number of students have not divorced from the learning methods of primary schools. They will not take the initiative to learn, but passively wait for teachers to teach them. As a result, some students' grades gradually decline because they can't learn or learn irregularly, and they lose their confidence and interest in learning over time, which is also the reason for the obvious "polarization" of students in the second stage of junior high school. The following are some humble opinions on mathematics learning methods. Generally speaking, the learning process is divided into four processes: preview, lecture, review and summary. Preview: Junior one students are often not good at preview and don't know what role preview plays. Preview is just a form, and you can't see the problems and doubts at a glance. Preview mainly focuses on the formation process of this lesson knowledge, repeatedly reading and thinking about important concepts and theorems, finding out the places you are difficult to understand and marking them, so that you can take the lesson with questions. This can change passive learning into active learning and cultivate students' autonomous learning ability. Listening to lectures: After previewing, listening to lectures will have a clear goal. When previewing, you should follow the teacher to think about the knowledge you don't understand. After making sure that you understand the correct methods and ideas, write it down in your notebook. You can't just copy what the teacher wrote on the blackboard, and you can't learn well just by taking class notes. When taking notes, pay attention to: (1) take notes, obey the lecture, and seize the opportunity of recording; (2) Remember the main points, questions, ideas and methods of solving problems; (3) Remember to summarize and think after class. Review: Junior one students are often eager to finish their written homework after class, ignoring the necessary consolidation, memory and review. Therefore, the phenomenon of imitating routine problems and solving problems with formulas appeared, which caused homework to be handed in for the sake of handing in homework, which could not play its due role in consolidating and deepening the understanding of knowledge. Therefore, we should read the textbook first every day, review the knowledge and methods taught in class in combination with the key points and difficulties of the notes, remember the formulas and theorems at the same time, and then finish the homework independently. Summary: Take a look at it when summing up: read books, take notes and exercise, and remember and familiarize yourself with what you have learned by looking at it; Two columns: list relevant knowledge points, mark key and difficult points, and list the relationship between knowledge points, which is equivalent to writing summary points; Three Doing: On this basis, solve some exercises of various grades and types purposefully, emphatically and selectively, and find and solve problems by solving problems and then giving feedback. Finally, it summarizes all kinds of questions and problem-solving methods that reflect the knowledge learned. The first grade is the initial stage of middle school, and mastering learning methods plays a vital role in future study. Improving class efficiency is the key. Students spend most of their time in class when they are at school. So the efficiency of class determines the quality of academic performance. We should pay attention to the following aspects to improve the efficiency of class attendance: 1, and preview before class can improve the pertinence of class attendance. The difficulty found in the preview is the focus of the lecture; New knowledge that you can't understand in preview; After preview, compare and analyze what you understand with the teacher's explanation to improve your thinking level; Preview can also cultivate your self-study ability. 2. Reasonable arrangement of courses. First of all, we should make material and ideological preparations before class, so that we won't forget books, exercise books and other things in class; Don't do too much exercise or read books, play chess, play cards or have a heated debate before class. In order to avoid being out of breath after class, or unable to calm down. The second is to concentrate on class. Concentration is to devote yourself to classroom learning, from ear to ear, from eye to heart, from mouth to hand. Pay special attention to the beginning and end of the teacher's lecture. At the beginning of a teacher's lecture, it is generally to summarize the main points of the last lesson and point out the content to be talked about in this lesson, which is a link to link old knowledge with new knowledge. Finally, he often summarizes the knowledge in a class, which is very general and is an outline for mastering the knowledge and methods in this section on the basis of understanding. 4. We should carefully grasp the logic of thinking, analyze the thinking and thinking methods of solving problems, and stick to it, and we will certainly be able to draw inferences from others and improve our thinking and problem-solving ability. In addition to the basic knowledge, the mathematics proposition of senior high school entrance examination also attaches great importance to the examination of mathematical methods, such as collocation method, method of substitution method, discriminant method and other operational mathematical methods. Students should be familiar with the essence of each method and the types of questions it adapts to, including the steps of solving problems. Secondly, we should pay attention to the understanding and application of mathematical ideas, such as function ideas. In the junior high school examination questions, we clearly told the independent variable and function, asked to write the resolution function, or implied to use the resolution function to find the intersection point. Students should deepen their understanding of this idea and do more related topics. Such as equation thought. It is the connection and restriction between the known quantity and the unknown quantity, and the idea of transforming the unknown quantity into the known quantity. We should firmly establish the idea of establishing equations, such as requiring two quantities to establish equations (or equations) about these two quantities according to known conditions; Another example is the idea of combining numbers with shapes. In recent years, the "finale questions" of the senior high school entrance examinations in various provinces and cities are all related to this. For example, putting schematic triangles in rectangular coordinate system and using their graphic relations, algebraic knowledge and geometric knowledge can be skillfully transformed. Many students often only pay attention to algebraic knowledge or geometric knowledge when solving this kind of problems, and will not transform them into each other, such as the relationship between the coordinates of points in the coordinate system and the length of line segments in geometric figures; The relationship between the perpendicularity of X axis and Y axis in coordinate system and the right angle, perpendicularity, symmetry and tangent in geometric figure; The relationship between the intersection of resolution function and graph, etc. Students are advised to focus on several topics. Carefully understand how the above three relationships appear in the topic and how to transform them. In addition, we should pay special attention to the hints in the teacher's lecture. For some key and difficult points in lectures, teachers often give hints about language, tone and even some actions. The last point is to take notes, not general records, but simple and clear records of the main points and thinking methods in the above lectures for review, digestion and thinking. Make a review summary of 1 and review it in time. On the second day after class, you must do a good job of reviewing that day. The effective review method is not to read books or take notes over and over again, but to review by recalling: first, combine books and notes to recall what the teacher said in class, examples, ideas and methods of analyzing problems, and try to think completely. Then open your notes and books, compare and make up what you don't remember clearly, so as to consolidate the content of the class that day, check the effect of the class that day, and put forward necessary improvement measures for improving listening methods and improving listening effect. 2. Do a good unit review. After learning a unit, you should review it in stages, and the review method is the same as timely review. We should review retrospectively, and then compare it with books and notes to make its content perfect, and then do a good job of unit plate. 3. Make a unit summary. The unit summary shall include the following parts. (1) knowledge network (chapter) of this unit; (2) The basic ideas and methods of this chapter (which should be expressed in the form of typical cases); (3) Self-experience: In this chapter, you should record the typical problems you made wrong, analyze their causes and correct answers, and record the thinking methods or examples you think are the most valuable in this chapter, as well as the problems you haven't solved, so as to make up for them in the future. Do a certain number of questions and do a certain quality of questions. Many students pin their hopes of improving their math scores on doing a lot of problems. I don't think this is appropriate. I think the important thing is not to do more questions, but to do them efficiently. The purpose of doing the problem is to check whether you have mastered the knowledge and methods well. If you don't master it correctly, or even have deviations, the result of doing so many questions is to consolidate your shortcomings. Therefore, we should do a certain amount of exercises on the basis of accurately mastering the basic knowledge and methods. For intermediate questions, we should pay attention to the benefits of doing the questions, that is, how much we have gained after doing the questions. This requires some "reflection" after doing the problem, thinking about the basic knowledge used in this problem, what is the mathematical thinking method, why do you think so, whether there are other ideas and solutions, and whether the analytical methods and solutions of this problem have been used in solving other problems. If you connect them, you will get more. Of course, it is impossible to form skills without a certain amount of practice (homework assigned by the teacher), and it is also impossible. In addition, whether it is homework or exam, we should put accuracy first, pass the rules first, and then pursue speed or skill, which is also an important issue to learn mathematics well. Finally, I want to say that "interest" and confidence are the best teachers to learn math well. With a certain interest, confidence will be enhanced, and you will not be discouraged because of unsatisfactory results in a certain exam. In the process of constantly summing up experience and lessons, your confidence will continue to increase and your grades will continue to improve.