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Mathematics is one of the compulsory subjects, so we should study it seriously from the first day of junior high school. So how can we learn math well? Here are several methods for reference:

Pay attention to one class and review in time after class.

The acceptance of new knowledge and the cultivation of mathematical ability are mainly carried out in the classroom, so it is necessary to pay attention to the learning efficiency in the classroom and seek correct learning methods. In class, we should keep up with the teacher's thinking and actively develop thinking prediction. The following steps are compared with what the teacher said. Especially after class, we should master the basic knowledge and skills, review them in time, and leave no doubt. First, before doing all kinds of exercises, you should recall the knowledge points that the teacher said and correctly master the reasoning of various formulas. Cheng Qing tried to recall, instead of turning over the book immediately if he was not clear. He finishes his homework conscientiously and independently, and is diligent in thinking. In a sense, he should not lead to a learning style of asking questions without understanding. For some problems, he should calm down and analyze them carefully and try to solve them by himself. At every learning stage, he should sort out and summarize, combine the points, lines and surfaces of knowledge into a knowledge network and bring it into his own knowledge system.

Second, do more questions appropriately and develop good problem-solving habits.

If you want to learn mathematics well, it is inevitable to be familiar with and master the problem-solving ideas of various types of questions. First of all, you should start with the basic questions, practice the basic boat repeatedly on the basis of textbook exercises, and then find some extra-curricular exercises to help you broaden your thinking, improve your ability to analyze and solve problems, and master the general law of solving problems. For some error-prone questions, prepare a set of wrong questions, write your own thinking and correct process of solving problems, and compare them together to find out your own mistakes, so as to make a good solution in time and in peacetime. The habit of solving problems makes your thinking highly concentrated, excites your brain, makes your thinking agile, and can be used freely in the exam. Practice has proved that your problem-solving habits at critical moments are no different from your usual practices. If careless problem-solving is often fully exposed in the big exam, it is very important to develop good problem-solving habits at ordinary times.

Third, adjust the mentality and treat the exam correctly.

First of all, we should focus on three aspects: basic knowledge, basic skills and basic methods, because the basic questions account for the vast majority in each exam. We should seriously think about those difficult questions and comprehensive questions as a relief, and try our best to sort out the mess. After finishing the questions, we should sum up and adjust our mentality, so that we can calm down at any time and overcome impetuous emotions. In particular, we should have confidence in ourselves and always encourage ourselves. No one can beat me except ourselves. No one can beat my pride.

Before the exam, you should be prepared to practice routine questions and develop your own ideas. Don't try to improve the speed of solving problems on the premise of ensuring the correct rate before the exam. For some simple basic questions, you should be sure of 12 and get full marks. For some difficult problems, we should also try to score, learn to score hard, and make our level normal or even extraordinary.

It can be seen that if you want to learn mathematics well, you must find a suitable learning method, understand the characteristics of mathematics and enter the vast world of mathematics.

How to learn math well II

Senior high school students must solve two problems to learn mathematics well: the first is to understand the problem; The second is the method.

Some students think that learning to teach well is to cope with the senior high school entrance examination, because mathematics accounts for a large proportion; Some students think that learning mathematics well is to lay a solid foundation for further study of related majors. These understandings are reasonable, but not comprehensive enough. In fact, the more important purpose of learning and teaching is to accept the influence of mathematical thought and spirit, and to improve their thinking quality and scientific literacy. If they can benefit for life, a leader once told me that the work report drafted by his secretary with a liberal arts background could not satisfy him because it was flashy and lacked logic, so he had to write it himself. In the future, you must have strong scientific thinking ability to engage in secretarial work, and learning mathematics is the best thinking gymnastics. Some senior one students feel that they have just graduated from junior high school, and there are still three years before their next graduation. It is not too late to wait until the second year of high school and the third year of high school, and even regard the experience of "loosening first and then tightening" as "success". The most important and difficult content of senior two mathematics (such as how to build a function) is placed in senior one. Once you don't learn the whole high school mathematics well, it will be very difficult to learn it again. Therefore, we must grasp it at the beginning, even if we relax a little subconsciously, it will weaken our perseverance and affect the learning effect.

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As for the focus of learning methods, each student can choose a suitable learning method according to his basic learning habits and intellectual characteristics. Here, I mainly put forward some points according to the characteristics of the textbook for your reference.

L pay attention to the understanding of mathematical concepts. The biggest difference between high school mathematics and junior high school mathematics is that there are many concepts, and the "taste" is very different from the past. The solution usually comes from the concept itself. It is not enough to know the literal meaning of a concept when learning it. We should also understand its hidden deep meaning and grasp various equivalent expressions, such as why the images of functions y=f(x) and y=f- 1(x) are about the straight line y = x, and why the function y = f (x-l) = f (1-x).

2' To learn solid geometry, we must have good spatial imagination ability, and there are two ways to cultivate spatial imagination ability: one is to draw pictures frequently; Second, the self-made model is helpful for imagination, such as comparing exercises with four right-angled triangular pyramid models, but in the end, it is necessary to reach the realm of imagination without relying on the model.

Learning analytic geometry should not learn algebra. The correct way is to calculate while drawing, and try to calculate while drawing.

On the basis of personal study, invite several students with the same education to discuss together, so as to solve the problem more thoroughly, which is good for everyone and a good learning method.

Answer one, get one free:

How to be the first in learning?

There are two main reasons why you can't be the first in your study: first, your lifestyle is incorrect; Second, there is no strong perseverance in it. Perseverance is the first important learning method; Second, in real life, there are still more than 70% junior one students in China. Although they are the first, they are not the most persistent or their learning methods and lifestyles are not the best. Maybe today is the first, but tomorrow is not. In other words, if they study and exercise according to the first method, they will generally exceed.

Is it difficult to win the brilliant first place? It is difficult because "cultivating strong perseverance" is the most difficult job in the world. Only with strong perseverance can we become the first. Of course, the correct lifestyle and learning methods are also particularly important. What is strong perseverance here? As long as you can follow the following requirements, keep records every day, and persist for one semester, one year and three years every day, then your perseverance is enough to achieve your goal. The first requirement is that during this exercise, you are afraid of intermittent storms, emotions, illness, housework, etc. These are not the reasons for you to stop exercising. You should remember that earning money and learning well are the most important things in your student life. Nothing is more important than it, except strong perseverance. Correct learning methods and lifestyles are also important.

The person who can be the first in the class is not necessarily smarter than you, and there are not necessarily many more brain cells than you. Didn't Edison say that "genius is 99% sweat and 1% inspiration"! So the first thing you have to do is to pass the psychological barrier, that is to say, you must firmly believe that you will succeed, and you will definitely surpass the existing first, including yourself who is now the first.

Second, you should exercise every day. Without a healthy body, you can't do anything well, even if you do it occasionally, you can't do it for a long time. Be sure to keep exercising for about 30 minutes every day. Running, table tennis, basketball, push-ups and standing long jump are all available. Some students are afraid to run when they see others not running, which will be very embarrassing. If others see it, it will be really embarrassing. It's really embarrassing. They have worked hard for several years and will be laid off after going to college for several years. If they can't support themselves in the future,

Third, we should have a correct attitude towards learning. Before each class, you must preview what the teacher is going to say, and mark what you don't understand. When the teacher is talking, we should listen carefully. If the teacher doesn't have to ask the teacher after speaking until we understand, when a question is asked twice or three times, the average student will be embarrassed to ask. Don't do this. Teachers like "don't give up if you don't understand" best. Listen carefully and think carefully. Be clear when taking notes, because the value of notes is more important than textbooks.

The first thing after class is not to do homework, but to learn the knowledge points in the notebook. Be sure to memorize it first, which will greatly improve the speed of writing homework, that is, when writing homework, you should think independently about the problems that cannot be solved, and then discuss them with your classmates and teachers. When you ask your classmates, don't ask what the result is, but ask "how to do this problem" and "why did you do this problem?"

Fourth, correctly face mistakes and failures. When you don't learn some knowledge in class, when you make mistakes in practice or do poorly in exams, you should neither complain nor be discouraged. You have to face up to this reality that you don't want. If you don't learn, don't write this knowledge in the memo, and then ask your classmates and teachers to write the correct explanation or results on other pages. Doesn't failing the exam mean there are many wrong questions? The correct way is to copy the original question into the memo. After learning the correct method, write the method and results on other pages. If we can pay attention to the matters needing attention in doing this kind of problems, the learning efficiency will be improved by 30%-60%. The reason why the answers or explanations are written on other pages is to think about the understanding and explanation of the knowledge points when you read them next time, and then practice the methods and answers to the questions. As long as you can face up to it, everything will be the driving force for your success.

Fifth, you must record your study. Write down when you did well and when you did wrong (note: only today's mistake is titled "memo" ×× page× title). When did you learn English well in the next class? When did you learn physics? Write down every minute of exercise and study in life in the account book. Write down the correct number of questions, the wrong number of questions and the wrong number of questions (the page number in the memo) in your account book. Write down what you learn every day in your account book for tomorrow and the day after tomorrow. Check whether you have really mastered these knowledge points. You must learn and master them skillfully.

The ledger records every detail of your study and exercise. In this way, you can write about one page every day in school life, and there may be two pages when you are not in school. You must never accumulate your account day by day during the week and holidays. This is the first road you take.

Although in today's quality education, the school is not ranked second, but learning achievement is the goal of our efforts, the necessary condition for us to enter a higher-level school, and the capital for us to do every job well after entering the society. Let's strive for the first place. If you follow the above requirements year after year, you must be the first.

If everyone does this, even if you can't be the first, you must be an excellent student in China, because most students in China don't have such perseverance, such a good learning method and lifestyle. Let's fight for a better tomorrow.

Physics is similar to mathematics! With the method, you can learn everything well!

Every obstacle to be overcome is inseparable from willpower; In the face of every difficult decision we make, we rely on our inner strength. In fact, willpower is not an innate or unchangeable feature, but a skill that can be cultivated and developed.

In the dictionary, "willpower" is interpreted as "the power to control people's impulses and actions", and the two most critical words are "control power" and "strength". The problem is how to control it.

Here are a few things to help strengthen your willpower. Just try it.

Take the initiative.

Don't confuse willpower with self-denial. When it is applied to positive goals, it will become a great force.

A businessman on the east coast of the United States knows that he has drunk too much. However, he is engaged in a very annoying job, and drinking a few drinks before meals seems to make people feel relaxed. But wine and tiring work make him sleepy, so he often falls asleep after drinking. One day, the manager realized that he was wasting his time drinking, so he decided not to drink too much, but to spend more time with his children. At first, it was not easy to think of fragrant grapes often. But he warned himself that what he was doing now would gain something, not lose it. It turned out that the more he cared about his family and children, the greater his motivation for work.

Positive willpower can help you overcome inertia, focus on the future, and imagine your happiness after overcoming resistance; Actively participate in the specific practice of achieving the goal, you can stick to it.

decision

James Pross, a professor of psychology at the University of Rhode Island in the United States, divided the realization of a transformation into four steps:

Resist-unwilling to change;

Consideration-weigh the gains and losses of transformation;

Action-cultivate willpower to achieve change;

Persistence-keep changing with willpower

Some people are "chronic decision makers". They know that they should cut down on drinking, but they are indecisive in making decisions and can't put them into action.

In order to make up her mind, she can set a deadline for her goals. Maggie Collins, a teacher in California, USA, is very concerned about how to lose weight. Later, she was elected as the president of a civic organization and decided to lose 6 kilograms. To this end, she bought clothes two sizes smaller than her figure and wanted to wear them at the annual meeting in three months. Because of her perseverance, Collins finally got what he wanted.

Three clear goals

Professor Pross studied a group of experimental subjects who planned to change their behavior from New Year's Day, and found that the most successful people were those with the most clear goals. One man made up his mind to be kind to his wife and treat him as an equal every day, and later he did it, while the other just said in general terms that he would be kind to his family, and quarreled as usual a few days later.

Don't say empty words like "I want to do more physical exercise" or "I plan to read more books", be specific-"I plan to walk for 45 minutes every morning" or "I plan to read for an hour every Wednesday and Friday night"

Fourth, weigh the pros and cons.

If you are half-hearted about physical exercise because you can't see the actual benefits, you can't willingly put on running shoes just by wishing.

Professor Pross suggested that those who consult him, you can draw four squares on a piece of paper and fill in the short-term and long-term gains and losses respectively. If you plan to quit smoking, you can fill in the short-term losses in the top two boxes: "I felt very sad at first", and the short-term gains: "I can save a sum of money"; Fill in the bottom two boxes with long-term gains: "My body will become healthier" and long-term losses: "I will promote a method to relieve boredom". Through such careful comparison, it is easier to gather the willpower to quit smoking.

Change yourself.

However, just knowing the harvest is not enough. The most fundamental motivation comes from wanting to change your image and take control of your life. Sometimes it can convince people, but only when emotional factors are aroused can we really respond.

Tom smokes three boxes of cigarettes every day despite his cough, but he still doesn't listen to the doctor's advice. On the contrary, he smokes as he pleases. "One day I suddenly realized that I was really stupid." He recalled, "Isn't this suicide? In order to survive, I must give up smoking. " Because quitting smoking can make me feel better, Tom has the perseverance to get rid of bad habits.

Pay attention to spirit

Turanwar,/kloc-a famous French general in the 0/7th century, was known as the first soldier. When asked about this, he said bluntly: "I acted like a brave man, but I was scared from beginning to end. I didn't give in to my timidity, but said to my body,' Old chap, although you are shaking, you must move forward.' "Therefore, I resolutely charge forward.

A large number of facts have proved that acting as if you have a strong will helps you become a strong-willed person.

Seven temper the will

As early as 19 15, the psychologist Boyd Barrett once put forward a set of methods to exercise the will, including getting up from the chair and sitting down for 30 times, emptying a box of matches, and then putting them back in the box one by one. He believes that these exercises can strengthen willpower so as to face more severe and difficult challenges in the future. Barrett's specific suggestions seem a bit outdated, but his ideas are enlightening. For example, you can arrange what you want to do on Sunday morning in advance and make up your mind not to eat lunch.

Bill bradley from New Jersey is the star of new york professional basketball team. In addition to normal training, he comes to the ball early every morning and practices free throw shooting alone. He eventually became the person who scored the most points in the team.

Eight stick to the end

As the saying goes, "Where there is a will, there is a way", which means to fight against difficulties and overcome them. After studying the people who quit smoking and started smoking again, Pross found that many people didn't seriously consider how to deal with the temptation of cigarettes at first, so despite their efforts to quit smoking, they couldn't stick to it. When someone handed them a cigarette, they took it and smoked again.

If you are determined to give up drinking, don't touch the cup on any occasion. If you insist on jogging, you should exercise indoors as usual even if it rains when you wake up in the morning.

Seek truth from facts

If you stipulate that you must lose 25 kilograms in three months, or do physical exercise for three hours every day, then the strongest will will will not help such an unattainable goal, and the consequences of failure will eventually make you want to try again.

In many cases, it is a good way to decompose a big goal or many small goals. Bob, who is going to quit smoking, posted a sign in his room-"Don't drink every day". Because he breaks down the overall goal of abstinence into concrete actions every day, he can make his determination clear again the next day. By the end of the week, when Bob looked back on his series of "victories" in the past seven days, he was full of confidence and finally said goodbye to the wine.

Step by step training

Strong will is not produced suddenly overnight, but is formed step by step in the process of gradual accumulation, and setbacks and failures will inevitably occur in the middle. We must find out the reason that makes us lose our morale, so as to solve it in a targeted way.

Mary made up her mind to give up smoking for the first time, but it ended in failure. When she analyzed the reason, she realized that she needed to do something instead of smoking. Later, when she wanted to smoke, she bought knitting wool. A few months later, Mary gave up smoking completely and knitted a sweater vest for her husband, killing two birds with one stone.

Eleven victories and progress.

Practice has proved that every success will further enhance your willpower. If you overcome a bad habit with tenacious will, you can gain confidence to fight another challenge and win.

Every success can increase your self-confidence and provide you with a solid "foothold" in the difficult cliff climbing journey. Maybe the new task you are facing is more arduous, but since you have succeeded this time before, you will definitely win in the future.

Will is not innate, only exercise can make young friends, and they can be consciously cultivated and exercised in the following aspects.

1. Establishing a correct outlook on life can inspire people to face all kinds of difficulties in life and consciously and firmly achieve their goals in life. Although some egoists can also exert strong willpower, they can't reach the perfect height after all. Only by establishing a beneficial and effective outlook on life and putting it into concrete actions can we maintain strong and lasting willpower.

2. Exercise your will quality with the help of collective strength. Teenagers often live in groups (such as school classes). Living in a collective must abide by collective discipline and rules and regulations. This in itself is the process of will action. Praise or criticism of your behavior in the collective, the tasks assigned to you by the collective or the responsibilities you undertake in the collective may all be a great motivation to motivate you to realize your will. Therefore, you should set clear requirements for yourself in the collective, learn from the behaviors of outstanding members in the collective, and strive to make your performance conform to the collective orientation and overcome the possibility in this process.

3. Exercise your will through some specific methods.

(1) Try to do meaningful work that you are not interested in but must do. Not everything in life is so charming. Some things need to be refreshed to do well, such as attending classes, listening to lectures and running. Doing so is a good opportunity to test and exercise your will. You should set goals and force yourself to do them. Of course, you can start with small things, such as getting up on time and keeping a diary. This is a process of improving willpower.

(2) Exercising the will quality through physical activities or labor. Every sport can exercise the corresponding will quality, such as running, cycling, swimming and so on. You can exercise tenacious diving, obstacle running, mountain climbing and so on. You can exercise courage and determination in ball games, and exercise initiative, independence, gymnastics skills, track and field, etc. Labor can also exercise various will qualities. Therefore, as long as you often participate in sports and labor, you can naturally exercise your perseverance and perseverance, which is helpful for the overall improvement of the quality of your will.

Whether you are a student or a teacher, whether you are a white-collar worker or an ordinary employee, I believe that people have strong will and extraordinary willpower to be competent for many jobs, and even develop unlimited potential, and the development of unlimited potential ultimately depends on willpower.

People who have no willpower are anticlimactic in everything they do. In Cantonese, it means "a fresh pit is three days new". However, many things in this world can't be completed in three or five days, and it is unlikely that you can learn a high level in three or five days. Without willpower, it is almost impossible to make yourself a learned and accomplished person. Success requires persistence and never give up, until success requires strong will.

How can I exercise a person's willpower? My personal experience is to practice push-ups every day. I remember when I first started practicing in 2003, because I didn't practice push-ups once when I came out of school, and I couldn't keep breathing until I did 25. In the later days, I insisted on doing push-ups every day at first, and added one every two days in less than a month. In order to exercise my willpower, I insist on doing push-ups before going to bed in the shower every night. By the way, exercise with other colleagues after one year. More than 80 colleagues said that I was not up to standard, and I could only support 50 according to the most standard. Then I practice every day, and now I can support 80 in a very standard posture. I have a goal. This year, the whole country will support 100 special forces, which seems to support 100 at a time. I want to practice push-ups with them to make my body stronger and stronger, and my body has no excess fat, only bodybuilding muscles. More importantly, I exercised my strong will.

When training students in the super whole brain learning method, I deeply know that a student can't apply the learned method to his own study for a long time without strong willpower, so I also call on students to exercise in my course. Boys practice push-ups and girls practice sit-ups every day. As long as they persist, as long as they are confident, as long as they love this exercise of will, as long as they make a little progress every day, we will kill two birds with one stone.

Another way to exercise willpower is to practice long-distance running. Long-distance running is an exercise. It can exercise our endurance and will. If you are a sports enthusiast, you might as well run long distances every morning.

Another trick to exercise your will is to keep a diary every day. What should we write as students? What we must write every day is:

1. Review your thoughts and actions of the day, ask yourself what is worth being happy and happy in the day, and ask yourself if there are any methods in your study and how to improve it.

2. Set new goals and plans through review, whether it is a life plan or a study plan, simply write it down and it will help you implement it tomorrow.

By writing a command, you can express your deep feelings about anything that happened that day.

4. Write down positive words that can motivate you to make progress. For example, what aspects of this incident are beneficial to me? I want to be good at turning disadvantages into advantages. Write down every day: "I am the best, I will succeed!" There must be a successful way, not impossible, but I haven't found a way yet! I must stick to it and I will not give up until I succeed! "

As long as you actively think and act every day, constantly break through yourself and change yourself, I believe you will become a very outstanding and successful person! Success is not far away. Let's act!