After you understand the above two points, it can only be daydreaming, so how can you really improve the above two points? As the saying goes, after reading it once and three times, it is better to write 10 times for things that you are unfamiliar with (it only varies from person to person) and you must review it (for example, if you encounter some kind of problems, you must forget to write the word 10 times for "classified discussion", so you must meditate). I believe that your math ability can rise rapidly. Of course, you should do everything with your heart.
What I quote below will also help you.
Miao Jinli, a famous college entrance examination counselor: six tips for learning mathematics well.
2007- 1 106 Source: Tencent Education Author:
At the beginning of 2007, I met two students from Beijing No.4 Middle School in San Francisco, USA. They later studied at Stanford University and got their doctor's degree. When I asked them the secret of their small success, they said: first, they should have an almost obsessive interest; Second, we must have perseverance and perseverance; The third is to get twice the result with half the effort. Share some of my thoughts with my classmates.
The concept of comprehensive mathematics education is teaching, including teaching and learning. Its main contents are as follows: from the characteristics of mathematics, our mathematics teaching should not only pay attention to the formalization and abstraction of mathematics content, but also pay attention to the concretization and experience in the process of mathematics discovery and creation; From the task of education, we should not only pay attention to improving students' mathematics academic level and mathematics quality, but also pay attention to improving students' basic quality and sustainable development ability, and pay attention to improving students' mental health level. To study the reform of teaching methods, we should not only study the reform of "teaching methods" and "learning methods", but also study the relationship between "learning methods" and "teaching methods" and unify them organically. At present, high school mathematics teaching courses impart more knowledge and involve less learning methods; Teachers pay more attention to their own teaching methods and less attention to students' learning methods. In order to change these conditions, improve teaching quality and cultivate high-quality talents needed by the future society, we must intensify teaching reform and make breakthrough progress in optimizing classroom teaching structure, cultivating students' learning ability and improving teaching quality on a large scale. Only in this way can students master more useful knowledge in less time and obtain good learning results. The process of learning is essentially a process of solving the contradiction between cognitive subject and cognitive object. The characteristic of students' study in school is to develop their ability to recognize and innovate knowledge on the basis of learning knowledge under the guidance of teachers. In the teaching process, if students, as the main body of development and change, have a passive attitude-they don't want to learn, they don't give full play to their subjective initiative, they don't fully use or can't use their eyes, ears, nose, tongue and body correctly, especially they can't or don't want to use their brains to understand what teachers teach, then even if teachers "teach" well, they can't promote the development of their own knowledge and ability.
First, good psychological quality and obsessive interest in learning-the premise of learning mathematics well.
Love is the reason to do something and the strongest motivation to persist. Good psychological quality and almost obsessive interest are the premise of learning mathematics efficiently, and they are also the necessary conditions for winning the final exam. Most students will feel that the heavy math study is almost suffocating, and they will be extremely depressed when they encounter a difficult problem or fail the final exam. Perhaps, at this time, we all have a very uncomfortable sense of oppression, which is caused by heavy learning tasks, tense competitive atmosphere and great learning pressure; However, can we escape? Is it just passive tolerance? No, since you can't escape, the only way is to face him squarely and resolve him! There will always be unhappy times. What should I do? Are you going to continue to study hard? No, but let yourself get rid of unhappiness quickly and achieve the best learning state. In this case, you can find someone you trust, pour out your unhappiness and seek others' understanding. This can make you quickly recover your troubled heart, concentrate on your study and ensure the efficiency of your study. How's it going? Give it a try! In addition, because of the intense study, coupled with the inevitable unsatisfactory things in the study, I suggest that I find a time every day, preferably at night, to go out of the classroom, go out of the house, take a walk in a quiet place, relax and review the study and life of the day. On the surface, it seems that this has delayed some time, but with a relaxed and happy mood, the learning efficiency has been improved.
In addition, we should be confident in ourselves, study confidently and enter the examination room confidently, so as to succeed confidently. If you can't do this, you will be too nervous, especially during the exam, and it will be difficult to bring your level into play, let alone surpass it.
So, what is the highest realm of mathematics learning and psychology in the examination room? In a word, "don't lose face"! In other words, no matter what kind of situation you encounter, you can be interested, calm as water, and calmly deal with it; If you think the topic is difficult and difficult to handle, you can go your own way and go all out without being nervous or disappointed. On the other hand, if you think the topic is easy, you can do it without smiling, which will relax your vigilance and be full of loopholes. Perhaps, you already have this feeling, for example, sometimes you think the topic is easy, but you don't achieve the expected good results; And sometimes, I feel that the topic is very difficult, and the result is not a mess! There is a simple reason. Whether it is the usual practice or the exam questions, everyone will bear it. What determines your grade is not the difficulty of the topic, nor your absolute grade, but your position among all the classmates or candidates, but whether you have played your own level. Therefore, no matter what kind of situation you encounter, don't be influenced by it, study and test according to the predetermined plan and steps, and play your best. Of course, it is not easy to do this, but as long as we consciously exercise and work hard, we will certainly gain something! For us students, learning occupies most of our life. Then, we will regard study and examination as a training ground, consciously improve our mathematical psychological quality and cultivate our interest, so as to maintain the best psychological state and become the ultimate winner.
Second, perseverance, perseverance-the guarantee of learning mathematics well
Learning is very hard, but it is to be able to endure the loneliness on the bench and in front of the desk lamp. Learning is learning, learning is not entertainment, and there is no way to learn a doctorate like watching an American blockbuster. This is the law of nature. The number of students in Beijing No.4 Middle School is good every year. There are so many outstanding junior high school graduates applying for Beijing No.4 Middle School every year for many reasons, such as high teaching quality, positive school spirit and well-known management level. But I believe that a very important reason is that the students in Beijing No.4 Middle School study well, and many students have been admitted to key universities, Peking University, Tsinghua and famous foreign universities. Many students have also heard that studying in Beijing No.4 Middle School is easy and enjoyable. It is said that only by working hard in other places can you be admitted to Peking University Tsinghua, and only by working hard here can you eat. It is said that Beijing No.4 Middle School has never been forced to make up lessons. There are only two classes every afternoon, and school ends just after 3 o'clock. However, if it is easy to study in Beijing No.4 Middle School, it is all wet. "The students in Beijing No.4 Middle School pay attention to happy study, but that's taking pains." After entering Beijing No.4 Middle School, you will always find students studying at some unexpected time and place. Walking into the campus with a yawn in the morning, you can see that someone is reading in the long corridor in the distance; In the evening, there was a long queue in front of the window of the canteen, and some people were still waiting in line to read books; In the evening, you soak your feet while chatting in the dormitory. Some students have taken the time to wash up and go to the study room to sit. A few years ago, the rehearsal of group calisthenics for the opening ceremony of the Universiade was held in Tiananmen Square, and the sun was scorching. Some students are sweating like a pig, still reading during the break, and some students sit in a row, each with the back of a former classmate solving problems for the desk. One of my students has a habit. He wrote English words on a small piece of paper and put them in his pocket. He takes them out at any time, even taking out wet paper for two minutes between basketball games. What spirit is this? This is the spirit of taking pains. This is the attitude of students in Beijing No.4 Middle School towards learning. [! - empirenews.page - ]
At the beginning of 2007, I met two students from Beijing No.4 Middle School in San Francisco, USA. They later studied at Stanford University and got their doctor's degree. When I asked them the secret of their small success, they said: first, they should have an almost obsessive interest; Second, we must have perseverance and perseverance; The third is to get twice the result with half the effort. Share some of my thoughts with my classmates.
On holidays and weekends, students from Beijing No.4 Middle School can be seen everywhere in the library, the National Library, the Capital Library, the Xicheng District Library and the Laboratory of the Chinese Academy of Sciences.
Third, the method of getting twice the result with half the effort-the means to learn mathematics well
Too much diligence in tactics is laziness in strategy. We should set aside more time to think about learning methods than we do now. I suggest that students:
1, making a set 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.
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.
3. 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 not that you can't do it with the help of others. But after the meeting, I will look back and compare the reasons why I can't do it, and I must find out the reasons. Otherwise, you will lose an opportunity to improve and lose the meaning of writing questions.
4. 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 a topic is just doing a topic, "on the topic." You can't jump out of the topic, look at the essence and meet new topics. There's no way to make a little difference. What else can we talk about? How can we get rid of the ocean of problems that plague you?
5. Learn the magic weapon to win in the examination room. The first is to get rid of psychological fear. You can remind yourself, "What are you afraid of? No matter how difficult it is, everyone is like me. " This kind of self-psychological suggestion has calmed my heart a lot after a period of time. In fact, the most important thing in studying and taking exams is not how to learn or how to take exams, but how to play one's own level, which is also the premise of playing beyond the level. You might as well have a try, maybe it will work well! Secondly, we should have correct learning and examination strategies, so as to be "humiliated". Don't be nervous, especially when you encounter difficulties. There is such a phenomenon in the exam. Once you encounter a problem that you can't solve for a long time, you will fidget, which will seriously affect the following problems and then affect your exam results. In my opinion, in this case, we should give up this problem for the time being and continue to do it to ensure that other problems are not affected. Believe this: difficult topics are difficult for everyone, and there is nothing wrong with not doing them; In the end, when all the other questions have been answered, I will calmly look back and maybe I will succeed. There are always two or three difficult problems in the college entrance examination paper, but I hope everyone will pay attention to the fact that it is not those difficult problems that really distance you from others, but those problems that can be solved by everyone's efforts.
6, the correct understanding of the exam. Actually, here, I just remind you of a fact. That is to say, if it is not a competition, then more than 80% of the contents in the test paper are copied from what we have practiced in our usual study. In other words, more than 80% of the questions are very basic, and more than 80% of the scores can be obtained by each of us through hard work. If you don't believe me, you can go and see for yourself. Suppose you have mastered these basic topics. What level is it? So every student should see this fact and make himself confident. For example, it may not be easy to get full marks in the college entrance examination, but it is not difficult to get more than 130!
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.