Compared with junior high school mathematics, senior high school mathematics is rich in content, abstract and theoretical, because many students are very uncomfortable after entering senior high school, especially senior one. After entering the school, algebra first encounters a theoretical function, coupled with solid geometry, spatial concepts and spatial imagination, which makes it difficult for some junior high school students who are good at mathematics to adapt quickly. Here are some opinions and suggestions on how to learn high school mathematics well.

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 < 0, what is A? Even the students in some key schools answered without thinking: a=2. Just to illustrate this problem.

Another example is a classmate of Grade One in Beijing No.4 Middle School. After the mid-term exam of Grade One last semester, he protested to the teacher that "you usually don't have much homework and exams, so I won't study", which also shows the importance of ideological change.

Mathematics in senior high school is theoretical and abstract, so it needs to work hard, think more and learn more.

Second, improving the efficiency of class is the key.

During students' study, the time in class accounts for a large part. So the efficiency of class determines the basic situation of learning. To improve the efficiency of lectures, we should pay attention to the following aspects:

1, preview before class can improve the pertinence of listening.

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.

2. Science in the process of listening to lectures.

First of all, make material and spiritual preparations before class, and don't leave books and books in class; Don't do too intense 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.

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.

Reach: Draw the key points of the text on the basis of listening, watching, thinking and speaking, and write down the main points of the lecture and your own feelings or opinions with innovative thinking.

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.

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, 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. Notes are not records, but simple and concise records of the main points and thinking methods in the above lectures for review, digestion and thinking.

Third, do a good job in reviewing and summarizing.

1, review in time.

The second day after listening to the class, you must do a good job of reviewing that day.

The effective review method is not to read books or notes over and over again, but to review through recollection: first, combine books and notes to recall what the teacher said in the last class, such as the ideas and methods of analyzing problems (you can also write them in a draft book while thinking), 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.

Fourth, about the problem of doing the problem.

Many students pin their hopes of improving their math scores on doing a lot of exercises. I don't think this is appropriate. I think, "Don't judge heroes by how many questions they do." 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 exams, we should put accuracy first and general methods first, instead of blindly pursuing speed or skills, 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. 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.

The key to good grades is whether you can study or not.

Einstein's formula for success: W=X+Y+Z (success = hard work+correct method+less waste of time). I believe you can do it, maybe you work hard, but can you be sure that your current learning method is correct? The learning method actually determines your grades. The method is the tool you use to conquer the unknown. Loggers can only cut down a big tree with an axe in the morning, but it takes ten minutes to use a chainsaw. If you don't have good methods, even if you study hard every day, you won't get good grades. So you will often see those who hold books and wear thick glasses all day, and they are often knocked down as soon as they enter the examination room. Why? Because their learning methods are wrong. Mastering scientific learning methods is an important condition for improving academic performance. From preview, class, homework, review, examination and knowledge accumulation, this paper talks about the learning methods of standard questions.

First, preview. Preview refers to reading the new lesson independently before the teacher gives a lecture, getting a preliminary understanding and preparing for class. So preview is self-study. To do the following four things:

1, browse the textbook and get a preliminary understanding of the basic content and ideas of the textbook.

2, preview to consult and cram old knowledge, to lay a good foundation for learning new knowledge.

3. In the process of reading the new textbook, we should pay attention to the places that are difficult for us to grasp and understand, so that we can pay special attention when listening to the class.

4. Take preview notes. I don't understand the problems that need to be solved in class, the old knowledge that I consulted, etc.

Second, the class:

1, get ready for class before class, and take some time to simply recall and review what you learned last class.

2. Go to class with a strong thirst for knowledge.

3. Listen attentively in class and consciously eliminate all kinds of interference factors.

4. Look up in class, listen attentively to every word of the teacher and pay close attention to the teacher's thoughts.

If you don't understand a certain link of a question, don't "get to the bottom of it" in class, but write it down before listening. Problems you don't understand will be solved after class.

6. Try to be the master of the class. We should seriously think about every question raised by the teacher, carefully observe every demonstration of the teacher, boldly raise our hands to express our views and actively participate in classroom discussions.

7. Pay special attention to the beginning and end of the teacher's lecture.

8. Develop the good habit of taking notes. It's best to remember while listening. When there is a contradiction between listening and recording, we should give priority to listening.

Third, homework:

1, read before homework, and combine reading with homework. Only by understanding the basic principles and laws of textbooks can you successfully complete your homework.

2. Pay attention to the examination questions. It is necessary to find out the conditions given by the topic, clarify the requirements of the topic, apply the knowledge learned, and find ways and means to solve the problem.

3, attitude should be serious, reasoning should be rigorous, and develop the habit of "words must be based on evidence".

4. Homework should be done independently.

5. Seriously correct your mistakes. We should seriously correct the mistakes in our homework.

6, homework should be standardized. When solving problems, don't put pen to paper easily, write it once after careful consideration and do it according to the operating norms of various disciplines.

7. Keep your homework well and organize it regularly. When reviewing, you can always refer to it.

Fourth, review. The main task of review is to realize the in-depth understanding and mastery of knowledge, improve the skills of using knowledge in the process of understanding and mastering, and make knowledge comprehensive.

1, review on the same day of class, and review the contents of the first day of study at the same time, so as to connect the old and new knowledge and summarize the regularity of knowledge.

2. Unit review. After learning a unit, we should comprehensively review the knowledge points of the whole unit, focusing on understanding the relationship between knowledge points and making knowledge systematic and structured.

3. Mid-term review. Before the mid-term exam, we should systematically review what we learned in the first half of the semester. In particular, we should focus on clarifying the relationship between the knowledge of each unit.

4. Final review. Before the final exam, we should systematically review what we have learned this semester. Strive to "understand thoroughly, grasp firmly and use flexibly."

5, holiday review. Every winter and summer vacation, in addition to completing the homework of various subjects, we should also review the content we have learned before, focusing on reviewing the parts that we are not good at.

6. Read some extracurricular reference books or do some exercises appropriately to deepen the understanding and memory of relevant knowledge.

Fifth, the exam.

1, we should treat the exam correctly. Examination is a way to check students' learning effect. Doing well in the exam can promote them to study harder, but doing badly in the exam. It can also urge them to carefully analyze the reasons and find out the existing problems so as to study more pertinently in the future.

2. Do a good job in preparing for the exam. Systematic and careful review of homework in all subjects is the basis for getting good grades in the exam.

3. It should be noted that:

1 Carefully examine the questions. See clearly the requirements of the topic, find out the conclusions of the known conditions and requirements, and then start answering questions. ② Problems that can't be done temporarily can be put aside first, and problems that can be done can be solved later. (3) carefully check and correct mistakes. (4) The roll surface is neat, the handwriting is neat and the steps are complete.

4. Pay attention to the post-test analysis. The test questions should be analyzed one by one. First of all, we should correct the mistakes, mark them clearly and attract our attention so that we can check them correctly when reviewing. Then analyze the reasons for losing points and make classified statistics.

5. The examination papers of all subjects should be classified and saved for reference when reviewing.

6. Put an end to all kinds of cheating.

Sixth, the association of cake-eating fools

There is a joke that "stupid people eat cakes". It's about a traveler who was so hungry that he went to a biscuit shop to buy biscuits to satisfy his hunger. I didn't feel full after eating one, so I bought another one. I don't care. I bought another one, so I bought six in a row, but I still feel full after eating. I bought the seventh biscuit, only half of it was enough. At this time, he regretted it, slapped himself hard and said to himself regretfully, "Oh, how stupid I am! The first six were wasted. If I had known this half baked wheat cake, why did I buy the first six baked wheat cakes? The philosophical implication of this story is that quantitative change is the premise and necessary condition of qualitative change, and qualitative change is the inevitable result of quantitative change.

If you don't accumulate small streams, you can't become rivers and seas; If you don't accumulate steps, you won't travel a thousand miles. The relationship between "trickle" and "rivers and seas", "step by step" and "a journey of a thousand miles" is the relationship between quantity and quality. Without the accumulation of quantity, there will be no qualitative leap. If you just want to leap without talking about accumulation, you can't "leap" anyway. Only by paying attention to the accumulation of knowledge in daily study and preventing ideological delay can we become a qualified middle school student.