First, we should change our ideas. Junior high school, especially junior high school, can obviously improve your grades through a lot of practice. This is because junior high school mathematics knowledge is relatively simple and easy to master. Through repeated practice, you can improve your proficiency and grades. Even so, your understanding of some problems is not deep enough, or even unknown. For example, junior high school asked |a|=2, and few people made mistakes in the senior high school entrance examination. However, after entering high school, the teacher asked, if | A | = 2 and A = properly used; (3) seriously think about the method to solve the problem and find a simple operation mode; (4) Write neatly and regularly, and do not scribble; 5. Use draft paper reasonably, and don't scribble ... Third, the specific methods of learning high school mathematics 1. Do a good job of preview: preview is very important. Through preview, you can understand the basic content and knowledge to be learned, master the knowledge network in this section, and find out the problems you don't understand or know. Then, when listening to the teacher's lecture, there is both a sense of advance and a focus. In addition, through preview, you can exercise your self-study ability and master the initiative in class. Some students will feel very passive if they listen to the teacher directly without previewing. Every time the teacher talks about a question, the students will respond positively below. When your reaction is slower than others', when you finish digesting this question, the teacher often begins to talk about the second question, so no matter how much you react to the first question, you should put down listening to the second question, otherwise you can't hear clearly or understand some questions at all. If you preview in advance, such problems can be avoided. Therefore, the difficulty found in the preview is the focus of the lecture; You can make up the old knowledge that you don't have a good grasp in the preview to reduce the difficulties in the class; It is helpful to improve your thinking ability. After previewing, comparing and analyzing what you understand with what the teacher explains can improve your thinking level. Preview can also cultivate your self-study ability. Preview before class is a good study habit. I hope you will pay more attention to it in your future study. 2. How to attend classes: On the basis of preview, attending classes is very important. First of all, make material and spiritual preparations before class, and don't leave books and books in class; Before class, don't do too much exercise or read small books or have a heated debate. 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. Listening: Listen attentively, listen to how the teacher lectures, analyzes and summarizes, and listen to the students' questions and answers to see if they are enlightening. Eye-catching: read textbooks and blackboard writing while listening to the class, watch the teacher's expressions, gestures and demonstrations, and accept the ideas that the teacher wants to express vividly and profoundly. Heart orientation: think hard, keep up with the teacher's mathematical thinking, and analyze how the teacher grasps the key points and solves problems. Mouth-to-mouth: Under the guidance of the teacher, take the initiative to answer questions or participate in discussions. Reaching: It means drawing the key points learned on the basis of listening, watching, thinking and speaking, and writing down the main points of the lecture with innovative thinking, as well as your own feelings or opinions. If you can achieve the above five goals, your energy will be highly concentrated, and all the important contents learned in class will leave a deep impression on your mind. What we accept in preview is superficial and superficial things, such as definitions, theorems and formulas. They are all concrete and memorable things, and we only have some perceptual knowledge of what we want to learn. Only through the teacher's further explanation can the preliminary knowledge be promoted to a higher level and become a rational understanding, and it will be clearer in the process of argumentation, overthrow and application of the learned knowledge, thus deepening understanding and memory and improving the ability of analysis and application. (That is to say, you may recite theorems and definitions and use formulas after reading them, but it will be difficult for you to demonstrate and analyze them and apply them to exercises. ) The key point is to solve this problem and have a comprehensive understanding from the aspects of theory, analysis and application. Therefore, class is very important. Be sure to listen with questions and key points, focusing on places that are not prepared clearly and not understood, otherwise it will affect the efficiency of recording and the effect of class. Some students are thoughtful when listening to the class, so don't think about extracurricular questions casually when listening to the class, and don't ask questions casually when the teacher lectures, but think carefully and actively answer the questions raised by the teacher. 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. Seriously grasp the logic of thinking, analyze the thinking and thinking methods of solving problems, and stick to it, and you will certainly be able to draw inferences from others and improve your thinking and problem-solving ability. 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. 3. After-class summary: For every class the teacher talks about, you should use the self-study of the day to summarize and put it in a special notebook. From the definition, theorem, formula, demonstration process, typical examples and other aspects, a chain system is formed. Find problems through after-class summary, record them in time, use the self-study of the day to ask the teacher for advice, and try to solve the problems of the day, otherwise the problems will accumulate and you will gradually step into the ranks of poor students. Secondly, summary itself is not only a reasonable thinking process, but also a kind of repeated memory, and it has a higher level of understanding. So the process of summary is the process of practice-understanding-practice-re-understanding. Students who do well in summary are generally proficient in basic knowledge and do some basic and basic questions quickly and accurately in the exam. In the current college entrance examination mathematics, more than 60% of the questions are answered directly with basic knowledge (that is, using definitions, axioms, theorems, formulas and images), accounting for about 100. Therefore, summing up after class is the key to firmly grasp the basic knowledge. 4. How to treat after-school homework: After-school homework is an exercise process for students to consolidate, master and improve basic knowledge. Without this process, no matter how clearly you see and understand, it is often an armchair strategist. Without adequate homework training, you can't reach a certain level of proficiency, let alone be smart. As the saying goes, "Practice makes perfect", that is to say, only on the basis of proficiency can you find some simple and ingenious methods to solve comprehensive problems, which is called the improvement of your ability. Some students can't do comprehensive problems (so-called "difficult problems"), or even have no way to start, which is directly related to their lack of experience (that is, they rarely do problems). Therefore, practice makes perfect, practice makes perfect! There is no limit to the ocean of problems. Don't think that teaching you to do some problems is just sea tactics. In addition, homework practice is the fundamental way to improve your computing ability. As mentioned earlier, some students think they are smart and witty, so they relax their homework training. Therefore, they always feel that the questions are not difficult during the exam, but after the exam, their scores are always low and they are still very angry. Why can't they get high marks in the exam? The reasons are: ① incorrect operation, inaccurate data and simple operation methods, which are directly related to the usual job training; ② The operation process is inaccurate, incomplete and disorganized. This is related to the usual homework training. Comprehensive college entrance examination questions are graded according to the steps of solving problems. If you omit any step, you will lose points. These steps refer to the main steps, that is, some students do too few questions and can't figure out which is the main step and which is the auxiliary step (secondary step). Some steps are not detailed or not, and many auxiliary steps are written, so you are. Therefore, homework training after class is also a necessary process to standardize problem solving, thus improving comprehensive ability. When doing homework, in order to exercise and improve yourself, we should do the following: (1) Finish the homework independently, and ask the teachers and classmates if you really can't let go for a while, but never copy; (2) Without delay, finish the quantitative work on time within a certain period of time; (3) Take the initiative to hand in homework, ask the teacher to correct it, and seriously correct the mistakes. Students who don't correct their mistakes, don't consolidate their knowledge and don't correct them, and it's hard to get good grades; (4) The homework should be clear and serious, without scribbling, with complete specifications. In a word, taking homework seriously and finishing it is an important measure to improve your grades. Some people say that homework is an exam, and exams are homework. Isn't the college entrance examination paper just homework? This is very reasonable. In addition, the self-study class should take the initiative to ask questions to the teacher, and the teacher should give guidance in each class. If there is a problem with the learning content of the day, you should use self-study to ask the teacher directly. In addition, they should find and find problems in time in their own study and ask questions from teachers. Learning is asking questions while learning. Students who can't find the questions are the biggest problem, that is to say, if you haven't studied mathematics, you won't get good grades ... To sum up, the specific methods are: (16 words) preview first, focus on lectures, summarize and follow up, and consolidate your homework! Finally, I want to say that "interest" and "confidence" are the best teachers to learn math well. The "interest" here does not mean studying mathematics and becoming a mathematician in the future, but mainly means not being bored and not becoming a burden. Great motivation comes from great ideals. As long as you understand the importance of learning mathematics, you will have unlimited motivation and gradually become interested in mathematics. With a certain interest, your confidence will be enhanced, and you won't be discouraged because of an unsatisfactory exam result. In the process of constantly summing up experience and lessons, your confidence will continue to increase, and you will increasingly realize that "interest" and confidence are the best teachers in your study. Learning is not an easy task. Ask students to do things seriously. They should not be lazy, slippery or procrastinate about the tasks assigned by teachers. They should take the initiative to fulfill their responsibilities and try to make it difficult for teachers to find faults. Learning is not willing to spend effort to cope with errands. Just do what you want and fool the teacher. What academic performance and learning efficiency seem to have nothing to do with themselves. If you slack off in class and self-study, the homework that should have been completed today must wait until tomorrow. This is not the characteristic of contemporary middle school students. Have perseverance, endurance, perseverance and ambition. Please remember: Go ahead, be less hesitant and worried, be more rational and work hard, and tomorrow's road will be more exciting! ! ! ! ! ! !