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A good way to learn mathematics.
Answer: How to learn math well is an eternal problem, and I'm not completely clear about it. Here I just give you some lessons with my classmates, hoping to give you some help. 1, Introduction In fact, learning any science well requires introduction. This can be said to be the most important and crucial step. But few students clearly know how to get started, because many people get started in junior high school, and more people get started inexplicably. Of course, some people don't get started after graduation. I tried to help some people who didn't get started in senior three, but I found that no matter how I guided them, I couldn't. Maybe my level is not enough, or time is tight, or more likely they don't have enough confidence to stick to it, but in any case, I haven't found anyone who has been successfully introduced after the second year of high school. But some people at this time, their introduction should start from enlightenment. To tell the truth, I don't know how they succeeded, and I doubt whether they know it themselves. But in short, this road is too difficult to walk in senior three. But that doesn't mean it's completely impossible. If this happens to someone, don't be completely disappointed. There is still a way. That is, find someone who is similar to yourself and then successfully complete the introduction, and let him guide you. This time may not be too long (but I feel that it will take more than 1 month anyway). As long as you can understand what the thinking of high school mathematics is and what to look for next (it's easier said than done, in fact, this is the key), then you can strive to continuously improve your mathematics thinking and achieve mathematics results. But under normal circumstances, this process is best done from high school. But the above methods can't guarantee success, at least no one I know has achieved this breakthrough, and of course they haven't asked me what to do. In any case, the mentality of senior three is the most important. It doesn't matter whether mathematics can be introduced or not. You can't lose heart. You can't give up on yourself if you fail. That's all that matters. 2, basic knowledge In fact, whether you have completed the introduction or have entered a higher realm, another thing you have to do is to learn the basic knowledge well. That's all that matters. The basic knowledge of mathematics includes not only understanding definitions, memorizing formulas and using basic formulas, but also solving steps, considerable experience in solving problems and, of course, calculation accuracy. Let's talk about it one by one: (1) Understanding the definition: Understanding the definition is not memorizing. I don't remember many definitions. Just understand. No one is asking you to remember the definition of something. (2) recite the formula: needless to say. (3) Application of basic formula: excluding flexible application. (4) Problem solving steps: This should not be underestimated, and attention should be paid from the beginning. Steps are directly related to logic. With good logic, your steps won't be too bad. On the other hand, I haven't tried whether it is true or not. (5) considerable experience in solving problems: this is the most important, but it is not a dead problem. Some problems, you can't, but you did, or did something similar, so that you can solve them according to the gourd painting gourd ladle, and you will be the same as you in terms of grades. Is it tempting? (6) Calculation accuracy: Carelessness is also a non-intellectual error, which has always been a problem. In fact, I am also sloppy, sloppy for 5 years +4 years +3 years, and I have never solved it. I was inexplicably careless in the college entrance examination. But lucky people like me are few and far between, so don't take chances. 1, you must have a goal first. This goal should be a long-term goal. Specifically, what school do you want to go to, what job do you want to do, and what kind of person do you want to be? Some students here said that they didn't understand anything when they were in the first year of high school. How do they set goals? In fact, setting goals is just to motivate yourself. You don't need to set a specific goal, just determine your general direction. In high school, when I was young, I was afraid that I couldn't do it, and I was afraid that I didn't dare to think about it. If you don't have a dream when you are the youngest, then I'm afraid you really don't have a dream in the future. Setting a goal is setting a benchmark. For example, if you take those people on the school honor list as your goal, you think that one day, there will always be my place. Don't think you can't do it Don't be ridiculous. Only when young people are ambitious can they achieve great success. MZD was just an ordinary student at that time, but he already had the world in his heart. Imagine, when people looked at his great ideal, how many people really believed that he would realize it? Maybe he doubted it himself, but it doesn't matter. The important thing is that because you have goals, ideals and ambitions, you will not be discouraged by a little thing, give up because of a little failure, and be complacent because of a little success. Perhaps, in front of you, there are 100 people, 200 people, and 500 people with better grades than you, but only a few people really have your ambitions. You people are dreamers, dreamers, so you won't bow your heads and move forward. The strong are not in appearance, wealth, temporary achievements and fame, but in heart. So, set up an ideal now, no matter what your ideal is, it is your ideal. Don't be afraid to think. For example, if you have an ambition, why not be the top scholar in the province? In the end, it doesn't matter if you can't do the work. At least you tried and didn't regret it. You experienced the hardships of realizing your ideals earlier than those who didn't have them. You are more mature and competitive than them. Very helpful. 2. Plan. The main difference between high school and junior high school is that high school teachers teach at their own pace, whether you learn or not. It can be said that everything the high school teacher said was done at once. If you can't, you have to find it yourself. People won't take the initiative to tell you repeatedly that you can. This seems irresponsible, but it is precisely the purpose of high school education to cultivate your initial self-study ability. When you go to college, cultivate your comprehensive self-study ability. Yes 16, a 7-year-old boy, should be able to plan his own study. Therefore, what we have to do in high school is to learn to learn thoroughly and accurately according to what the teacher said. How to learn to learn thoroughly and learn essence? This requires a good study plan. A good study plan should first consider two points: first, you should give a lecture to the teacher. Although junior high school teachers don't want to nag so much, they still have to say what they should. Only by following the teacher can we ensure a good listening effect and lay a solid foundation for our own ability. Secondly, you should review your exercises after class by yourself. This includes making some reference books and workbooks by yourself. After the teacher finished speaking, every afternoon, when attending self-study, he took out reference books and textbooks, reviewed what the teacher said, and combined exercises and reference books to see if he really mastered it. In other words, listen to lectures-review-do problems-see what you can't do-ask teachers or classmates or read reference books in time to understand. As for the choice of reference books, I think it varies from person to person. You can buy one or more. Which to buy, radish and cabbage, each has his own love. What suits him may not be suitable for others, and what suits others may not be. But in general, we should grasp several principles: a. Reference books should be closely related to the course, as long as they can clearly explain the contents taught in the course. It's no use going beyond the outline unless you want to concentrate on the Olympic Games. B.the reference books are moderate, so don't do it yourself. Buying one book is far more effective than buying ten books, all of which are packed lightly. C. don't do the problem with a comparative feeling. Comparison is useless. Everyone has his own method, and everyone is different. What suits others may not be suitable for him. 1. Sweep the textbook: Some students disdain the textbook, thinking that the textbook examples are too simple and the exercises are too repetitive, which has nothing to do with the college entrance examination. Actually, it is not. Too simple examples are step-by-step guidance, and too repetitive exercises are practical exercises. Despising textbooks is a big joke. Textbooks are compiled by mathematicians and famous mathematicians, reviewed, revised and updated, and the knowledge is self-contained. Mathematics, like history, geography and politics, is a basic science. A lesson without textbooks is equivalent to digging a one-foot-deep grave for yourself. 2. Deducing formulas: Some students are satisfied with taking formulas, regardless of the context, which is a big strategic mistake. It is one of the regrets that the formula derivation process itself covers the most basic mathematical methods; Sometimes I forget the formula. If you learn by rote, you may want to remember but you can't. This is the second regret. The connotation of mathematics is the formula discovered by our ancestors and some concepts used to describe the formula. Formula is the mainstay of mathematics, which is the third regret. Therefore, the derivation process of the formula is very important. 3. Model memory. The origin of mathematics is life, and many formulas can find the original model. For example, venn diagram in the first chapter, some advanced properties of parity and monotonicity in the second chapter, and the combination of numbers and shapes in the third chapter. Model memory can be easy or accurate, and the exploration process of model memory is a painstaking thinking. Fourth, the state of class. Those who are busy taking notes in class are busy copying the blackboard for the second time The real system is formed in their own brains, and the real thinking is also the activity of their own brains. It is useless to copy. Which copier can explain what is spit out? When a teacher gives a lecture, he just needs to mark out what he doesn't understand, which saves trouble and effort, and spend more time with his head in class. True understanding is not a complete exercise, nor a notebook that covers everything, but a mastery of the brain. The best state of listening to a class is not that the eyes don't move, but that the eyes rotate frequently and the head rotates quickly. Stare at the teacher intently. Sometimes when you do a problem, you only pay attention to the result, and when you do it right, you are complacent. What I did right at that time may be a mistake, a winding path leading to a secluded place, or a pure coincidence. There is a theory in probability theory that if you hit the target and the probability of hitting it is 1/2, then the probability of hitting several bullets at the same time will be fierce. Teachers explain and master a variety of methods, fully armed, more conducive to the achievement of college entrance examination results. 5. Diagnose the problem. Usually we pay attention to the process, and the exam pays attention to the results. Therefore, when doing problems on weekdays, we must be cautious about both. When doing the problem, the way is to race against time by hook or by crook, in order to get more points. Therefore, in order to understand the psychological process of the topic, we must first keep the inspection paper well, and then pay attention to marking symbols on the topic. The circle means you can't start. The percent sign indicates vacillation, the right arrow indicates in-depth study, and the left arrow indicates that it can be extended ... so as to be more targeted and targeted. These are all problems that should be paid attention to when doing the problem. After revising the answer, we should make a good diagnosis of the cause of death, draw a calculator icon for the calculation error, draw an inverted head for the logical error, and mark the clerical errors one by one. First, this is tantamount to holding a memorial service for every wrong question. Secondly, we can grasp the overall learning situation according to the number of different symbols in the unit summary or the next review, which is both objective and practical. 6. Go into battle lightly. I don't advocate taking notes to sort out wrong questions. Textbooks and a round of review before class are the best notes. The blank space on the edge of the paper problem set is the best wrong problem set. If an idea and a method are really understood, why do you have to repeat your homework? Repeated sorting and plagiarism not only wastes time, but also kills interest in learning. The most terrible thing is that the notes are separated from the books, and the wrong set of questions forms a mindset. Therefore, I advocate traveling light. The learning methods mentioned above are suitable for everyone, and detailed strategies need to be tailored to their own needs.

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