Many students have poor grades, mainly for the following reasons:

Do not study hard, not diligent enough. Diligence is a good quality, so is learning. As the saying goes, heaven rewards diligence is the truth. Generally speaking, in junior high school, there are relatively few knowledge points, and diligence is the main factor that determines grades. For high school, the influence of diligence will be relatively weak, and learning methods will be replaced. Natural question: What causes students to be not diligent? In other words, how can students learn actively and become diligent? In fact, it is very simple, that is, interest and motivation. So how can we make students interested and motivated? There are two main aspects: first, family education varies from family to family, with guiding principles, correct methods and moderation; Second, on the teacher's side, this is more difficult After all, now teachers mainly instill knowledge and communicate with students less, so it is difficult for students to have respect and lose interest. Parents can communicate with their children and are willing to give everything for them.

Passive learning

Many students have a strong dependence on teachers and parents, follow the inertia of teachers, study under the supervision of parents, and have no initiative in learning. Such as: not making plans, waiting for classes; Do not preview before class, do not understand what the teacher wants to do in class; Busy taking notes in class, not listening to the "doorway", not really understanding what you have learned, and so on. As a result, students' learning efficiency is low and their grades are naturally poor!

You can't learn law.

Teachers usually explain the ins and outs of knowledge in class, analyze the connotation of concepts, analyze key and difficult points, and highlight thinking methods. However, some students didn't concentrate in class, didn't hear the main points clearly or didn't listen completely, took a lot of notes and had many problems. After class, I can't consolidate, summarize and find the connection between knowledge in time, just write my homework in a hurry, do problems in disorder, have a little knowledge of concepts, laws, formulas and theorems, mechanically imitate and memorize; Some people work overtime at night, are listless during the day, or don't listen at all in class, so they have another set. The result is half the effort, with little effect. Learning blindness is the most troublesome problem for middle school students. What is the fundamental difference between top students and middle students? The foundation is not bad, mainly the learning method. Top students said, "Play before the quiz, play before the quiz". Secondary school students didn't get the first place in the exam because there is not much difference between learning methods and basic knowledge.

4. Don't pay attention to the foundation

Some students who "feel good about themselves" often despise the study and training of basic knowledge, basic skills and basic methods, and often only know how to do it, but they are interested in difficult problems to show their "level", and they are ambitious, either making mistakes in calculation or giving up halfway in formal homework or exams.

2. Necessary conditions for learning mathematics well

1. Mathematical operation

Operation is the basic skill to learn mathematics well. Junior high school is the golden age to cultivate mathematical operation ability. The main contents of junior high school algebra are related to operations, such as rational number operation, algebraic operation, factorization, fractional operation, radical operation, equation solving and so on. Junior high school students' poor operation ability will directly affect their future mathematics learning: from the current mathematics evaluation, accurate operation is still a very important aspect, and repeated operation errors will undermine students' confidence in learning mathematics. As far as personality quality is concerned, students with poor computing ability are often careless, with low requirements and low thoughts, which hinders the further development of mathematical thinking. From the self-analysis of students' test papers, there are not a few mistakes, most of which are operational errors, and they are extremely simple small operations, such as 7 1- 19=68, 7-9=2, etc. Although the mistake is small, it must not be taken lightly, and the real reason behind it must not be concealed by a "sloppy". It is one of the effective means to improve students' computing ability to help students carefully analyze the specific reasons for errors in operation. In the face of operation, we often pay attention to the following two points:

① Emotional stability, clear arithmetic, reasonable process, even speed and accurate results;

Have confidence and try to do it right once; Slow down and think carefully before writing; No verbal calculation, no mental calculation, no skipping steps. Write clearly on the draft paper and finally scan it with your eyes to see if there are any low-level mistakes.

Step 2 solve math problems

There is no shortcut to learning mathematics, and ensuring the quantity and quality of doing problems is the only way to learn mathematics well.

(1), how to ensure the quantity?

① Choose a tutorial book or workbook.

(2) After finishing all the exercises in a section, correct the answers. Never do a pair of answers, because it will cause thinking interruption and dependence on answers; Easy first, then difficult. When you encounter a problem that you can't do, you must jump over it first, go through all the problems at a steady speed, and solve the problems that you can do first; Don't be impatient and discouraged when there are too many questions you can't answer. In fact, the questions you think are difficult are the same for others, but it takes some time and patience; There are two ways to deal with examples: "do it first, then look at it" and "look at it first, then take the exam".

(3) Choose questions with thinking value, communicate with classmates and teachers, and record your own experience in the self-study book.

④ Ensure about 1.5 hours of practice time every day.

(2) How to ensure the quality?

(1) There are not many topics, but they are good. Learn to dissect sparrows. Fully understand the meaning of the question, pay attention to the translation of the whole question, and deepen the understanding of a certain condition in the question; See what basic mathematical knowledge it is related to, and whether there are some new functions or uses? Reproduce the process of thinking activities, analyze the source of ideas and the causes of mistakes, and ask to describe your own problems and feelings in colloquial language, and write whatever comes to mind in order to dig out general mathematical thinking methods and mathematical thinking methods; One question has multiple solutions, one question is changeable and pluralistic.

② Execution: Not only the thinking process but also the solving process should be executed.

(3) Review: "Reviewing the past and learning the new", redoing some classic questions several times and reflecting on the wrong questions as a mirror is also an efficient and targeted learning method.

3. Make a series of personal mistakes. I give my classmates a formula: less mistakes = more pairs. If you make a mistake, no matter what mistakes you find, no matter how simple they are, they are included; I believe that once you really do it, you will be surprised to find that your mistakes can't be corrected once. On the contrary, many mistakes are made for the second, third or even more times! Looking at my wrong suit, alas, it's shocking. This is really a good place for self-reflection and a good way to improve your grades. The later you review, the less likely you are to break through knowledge, and the room for correcting mistakes is not small. If you don't have this habit, prepare a book, collect your mistakes, classify them, and then look through them when you have nothing to do to warn yourself, and you will certainly gain a lot.

4. A reference book is enough. I want to say, don't be superstitious about reference books. There are not many reference books, but one main one is enough. I found a very strange phenomenon. Nowadays, many reference books on the market sell well, all of which are branded by a famous teacher. How well they speak. As a result, many students took one book after another, confused. In fact, our time for study and review is limited, and the time we can leave for ourselves is even more limited. In these limited time, it's best not to read this reference book for a while and that reference book for a while. By memorizing the main points of the knowledge structure of the textbook, you can review all the knowledge in a short time. Doing this is much more important than reading some reference books called "Golden Keys and Silver Keys". In a word, grasp the most fundamental and important, don't read reference books blindly, especially don't read many reference books.

5. What should I do if I encounter difficulties? First of all, we should try our best to solve it through our own efforts. If it can't be solved, we should also find out why it won't and where the problem lies. I often say: never expect not to encounter problems, but never allow yourself not to understand where the problems are. When you can't solve it by yourself, you can solve those problems by discussing and asking the teacher. The solution is by no means that you can do it with the help of others, but after you can do it, look back and compare the reasons why you can't, and be sure to find out the reasons, otherwise you will lose an opportunity to improve and lose the meaning of doing the problem.

6. How to jump out of the sea of questions? I think everyone must be very concerned about this topic, because physics is difficult to understand, chemistry is difficult to remember and mathematics has endless problems. But the topic is the heart of mathematics, and it is absolutely impossible not to do it. And there are so many problems before us that it seems endless. Try the following methods. First, on the basis of completing the homework, analyze how each topic is investigated, which knowledge points are investigated, and whether there are other ways to investigate this knowledge point; Second, when you continue to do the problems, there is absolutely no need to work out every problem in detail. As long as you have read it, you can classify it into the problems we analyzed above, and you can skip if you know the way to solve the problem! In this way, for every knowledge point, we can master the examination method, which is the real improvement. If you don't realize this, doing the problem is just doing the problem, "topic", you can't jump out of the topic, you can't see the essence of the problem, and you can't do anything when you meet a new topic, which is slightly different. What else can we talk about? How can we get rid of the ocean of problems that plague you?

7. Diligence and perseverance are the necessary conditions for learning mathematics well. In any case, we should have a hard-working spirit in our study, but we should not only be hard-working, but also be good at learning and summing up, so as to get twice the result with half the effort. There are "seven bread principles" in mathematics: you won't feel anything after eating the first six breads, and you will suddenly feel full after eating the seventh bread. After doing a lot of problems, you may feel ineffective and get nothing, but if you do a few problems, your math level will make a qualitative leap. So don't give up, the revolution has not yet succeeded, comrades still need to work hard, and one day they will be pleasantly surprised.

8. Write more, think more, and combine the two. This is the most important thing, and it is also a magic weapon to learn mathematics and even science well. Mathematics is responsible for cultivating students' computing ability, logical thinking ability, spatial imagination ability, and the ability to analyze and solve problems by using what they have learned. It is characterized by a high degree of abstraction, logic and wide applicability, and requires high ability. Learning mathematics must pay attention to "living", not only reading books without doing problems, but also burying oneself in doing problems without summarizing and accumulating. We must be able to access textbook knowledge and find the best learning method according to our own characteristics. This is why Mr. Hua advocates the learning process of "from thin to thick" and "from thick to thin". Methods vary from person to person, but four steps (preview, class, arrangement and homework) and one step (review and summary) are indispensable. Think more when you do the problem, draw inferences from others, and don't do it by death. There are many new questions in the college entrance examination, which are suitable for students who like thinking rather than doing it.