I am a science student in high school, and I will repeat this year, seeking a set of learning methods.

Hello, I'm a math teacher. I hope my words can help you!

A student, how to improve learning efficiency? The key is to find learning skills that suit you. He Xu, a student I taught, got average grades, but through a set of reasonable methods, his grades were greatly improved and he was sent to the Institute of Mathematics of Peking University. So what is his method? This classmate said:

At the beginning of the class, my classmates were violent and my book was difficult. In order not to be the last one, I began to study hard. 50 people in primary and secondary school exams. I became lazy after I was overjoyed, and I failed XX (not the average score) in every big exam. In the second semester of Senior Two, I gradually understood the importance of going to college, and began to study and reform, doing everything possible to improve learning efficiency:

1. Try to take notes. Preview the subjects of the day, review the contents that are difficult to remember, and practice repeatedly to deepen your memory;

2. Enhance the initiative of learning, such as going to the bookstore to pick books or taking the initiative to go to the teacher's office to find a teacher;

3. Influenced by my classmates, I began to adjust my state and mood and try my best to improve the efficiency of doing anything (including playing and sleeping);

4. Strive to improve their learning motivation;

Even if you waste some time, you should think more and try new learning methods and ideas.

What kind of learning method is the most efficient? I said: the method that suits you is the most efficient method. In other words, you need to understand other people's learning methods, but not copy them, but tailor your own methods inspired by other people's methods, so that the effect will be the greatest.

Of all the students I have taught, each student has a different approach. For example, when talking about the method of "knowledge network diagram", some students said: "I advocate sorting out the knowledge points of various subjects and making charts. Because a good memory is not as good as a bad writing. In the process of learning, the importance of "knowledge network diagram" is self-evident. If you do well and master this picture, you can sort out the vertical and horizontal relationship of various knowledge points, expand your thinking, master specific methods and skills, and sort out what you have learned. "

However, another classmate in the same class has a different method. Another way for a student to organize a knowledge network is to use his brain instead of his hands. The classmate said, "I'm not that diligent. I always use my brain to organize the knowledge in my mind. " I think taking notes has a disadvantage, that is, what is written on paper retains the form of' information', and some of them can't be remembered completely. It is always time-consuming and laborious to go back to them now, which forms the so-called dependence on notes. "

So, which of the two students do you think is preferable? Most students who study well think that you can learn from other people's methods, but you will never copy them. Because each student's own situation is different and his mastery of the subject is different, the methods will be different. Everyone should also believe in their own learning methods, and never learn to walk in Handan. There are many ways to learn, and you can't give up your learning methods just because you read an article. Therefore, it is very important to develop a learning method that suits you. If the method is right, efficiency will come.

Learning is skillful. Do not believe, listen to me "fool" you.

I went out to give a lecture and told my parents and classmates that most students can improve their math scores by 20 points by tutoring their classmates for 2 hours before the college entrance examination! Do you believe me when I say this? Do you think I am fooling you?

I'll tell you what to do. First of all, I want to talk about it according to the characteristics of students themselves. I will put the questions of last year's college entrance examination in front of this student, and then go through them with him, and then find out the questions he is sure of. What questions can be mastered through hard work? What are completely uncertain? Then, cut off those topics that are completely uncertain and tell him that it is impossible to prevent and not to give up. Then, focus on those questions that can be scored through hard work. When I told him this, he thought the problem was simple and the math was simple.

In this way, before the exam, he had a clear direction and clear thinking, and then concentrated on the superior forces to assault, and his score increased by 20 points. Is it a myth? Is it a bluff? That's not true.

Of course, you ask me, before the college entrance examination, giving students two hours can improve 20 points, so can giving them four hours improve 40 points? I won't lie to you this time, because it is impossible. I tried, 20 points is room for improvement, and there is a limit to the room for improvement.

Many students ask: what should I do if I encounter difficulties in mathematics? I replied, "Where you fall, you get up."

A high school student may encounter problems that he can't do, not because of high school, but because he owes money at some point in junior high school. It may be that a concept is not well mastered, or it may be that a method is not skillfully used.

Some students don't understand some mathematical concepts, so they don't learn well, so when they encounter this concept when doing problems, they always make mistakes, and it's useless for you to do more problems. Only by solving this conceptual problem will there be no problem and it will be easy.

Therefore, when students encounter problems in mathematics, they sometimes need to take a step back until they reach the most primitive state, and you won't know what the problem is. When you do a math problem, you must find the root. Once the root cause is found, the problem will be solved.

A student in Class 3 of Beijing No.8 Middle School is not good at analytic geometry, and the college entrance examination is coming soon. Analytic geometry played a great role in the college entrance examination. He was very anxious and found me to give him guidance.

I said I would give you three questions. Once these three questions are finished, there will be no problem in your analytic geometry. I say this because many students are afraid of analytic geometry. As soon as I said, as long as I do three questions, students will not have too much pressure on analytic geometry. In addition, analytic geometry has a strong regularity, and it is true that the college entrance examination is basically those kinds of questions every year.

A few years ago, the college entrance examination found an analytic geometry problem and asked him to do it again, but he didn't do it. So I told him once to do it again, but he still couldn't do it. I said, "Do you know your analytic geometry problem? A very important problem in analytic geometry is calculation. Is it difficult? "

He said, "It's not difficult."

I said, "It's not difficult. Why not? First, you lack self-confidence. You think I can't analyze geometry. Because analytic geometry requires a lot of calculation and doesn't want to count down, there will be times when you are not confident. Second, the computing power is not enough. At this time, you have to practice again and again. If you do it once, twice, twice or three times, you must solve the problem. Only when you do it, will you feel that there are many problems you can't find, and you will know that there are many problems you lack. Then you will know what the problem is, and confidence is enough. "

As a result, the student spent an hour doing it several times and finally got the result right. I asked, "Do you know what your problem is?"

He nodded and said, "I didn't have enough confidence when I did it before." I have been thinking about whether it will be good if this continues? "

So I gave him an analysis and said, "The first step in analyzing geometry is to check the framework, look at the problem from a height first, and then consider each step to implement." Even if you can't solve this problem, as long as you follow the steps in a down-to-earth manner, you will get a step mark. If you can solve one or two problems doggedly, your self-confidence will come out. "

Then I asked him, "Do you dare to do a similar topic?"

He said, "Now I dare."

Do the second question, and he succeeded again. Then according to this question, I will peel it with him, how to input it, how to analyze it, and then how to implement it, and build a looming framework with seemingly messy ideas. I told him that every question would basically follow this framework in the future.

I asked him, "Do you understand?"

He replied, "I see."

When I asked him to do the third question, I said, "You are talking about ideas, not me."

As a result, he made the idea clear, and I said, "Do it again."

Sure enough, he succeeded as soon as he did it. I said, "okay? Analytic geometry is so simple! "

The students left happily. In 2006, this student was admitted to Tsinghua University.

I majored in mathematics and have been teaching mathematics for more than twenty years. Mathematics is a test of ability. What is ability? The flexible use of basic knowledge is called ability. What does the foundation include? Namely: basic concepts, basic skills and basic methods.

Basic concepts. It refers to those concepts, which should be carefully analyzed. If the concept is not deeply understood and not in place, it will cause a lot of confusion for subsequent learning. Students don't know what's wrong and don't understand the concept at all.

Basic skills. Many parents say that their children are sloppy. In fact, they can do a problem, but they can't do it right. Many parents also attribute this mistake to their children's carelessness, but it is not. This is the lack of basic skills. This phenomenon exists in almost every student, but many parents always talk about carelessness and always say that you think my child is careless. I said: Do you know that other children are not careless? As long as it is a student's characteristics, parents can't be said to be unique to this child. Learning mathematics is to solve the problem of carelessness and let students not be careless, which is one of the characteristics of mathematics.

Basic method. Because in mathematics, it is very important to have a large number of mathematical thinking methods, which is a key point of the college entrance examination. Such as the combination of numbers and shapes, equation thinking and so on. , are very important thinking methods in mathematics. There will be some setbacks in the process of learning. It doesn't matter. As long as you often reflect, the chances of making mistakes will be less and less, so you will gradually enter a good realm in the future. This requires a process, and the process needs perseverance.

Many students have problems with these basic concepts, skills and methods, and they don't understand why they can't get on. This subject has become your weakness, leading to the phenomenon of partiality.

The examination room is like a battlefield, and eccentricity is a taboo for candidates. For the senior high school entrance examination and college entrance examination, the total score is the last word. It is not advisable to be too extreme. To solve the problem of partiality, we must first solve the problem of mentality, and then the problem of method. Some students are not good at math, so they want to give up if they don't learn well. In my feeling, the weaker a student is in a certain subject, the greater the possibility of promotion. For example, in mathematics, you can get a score of 140, but it is too difficult to get a score of 150. If you score 70 in math, 100 is actually very easy to work hard. As long as you make a little effort, understand the basic concepts and do well the questions in the textbook, you can get 100 in mathematics.

Therefore, one way to learn is to get up from where you fell. In fact, it is not difficult to learn and master the basic concepts, skills and methods of a subject.

I think students must be able to think when doing problems, especially math problems. This is very important. Confucius said: "Learning without thinking is useless, thinking without learning is dangerous", which means paying equal attention to learning and thinking.

Einstein took two students, one of whom was reading a book every day. When Einstein came in the morning, he found the student reading a book. When I came in the evening, I found the student reading again. Einstein asked him, "Do you study in the morning?"

The student replied, "Yes, sir, I was reading in the morning."

Einstein then asked, "Are you reading at noon?" The answer is reading at noon.

Einstein asked, "So do you study at night?"

The student didn't know whether the teacher wanted to praise me or not, so he quickly said, "I was reading at night, too."

Unexpectedly, Einstein asked, "When do you think?"

Many students don't understand the characteristics of mathematics. In order to finish the teacher's homework, just pursuing the amount of questions is like a bear breaking corn, and the effect is unknown. You can't learn math well like this. A question is wrong, whether it is corrected by the teacher or answered by himself, we should reflect immediately. What's wrong with this question? This kind of reflection won't take long, but from now on, we can avoid similar mistakes and learn mathematics step by step.

From this point of view, I oppose the tactics of solving problems in mathematics and advocate reflection and induction after solving problems. Of course, not doing sea tactics does not mean not doing questions, and there must be a certain amount of questions.

I often emphasize a point to students. The probability of failing the college entrance examination is 100%. Why do you want to do it? The possibility of failing another question in the college entrance examination is also 100%. Why are we doing this? At present, some students have piles of homework problems. In order to complete the task of teachers, they often work overtime until late at night and are listless the next day, which will form a vicious circle. Only by solving the problem of why to learn mathematics, understanding the characteristics of mathematics, and knowing what to learn mathematics for, can students have a certain purpose when learning mathematics, and will they glow with their learning consciousness.

Back to what I said above, the probability of failing the college entrance examination is 100%. Why do you have to do this problem? It is through doing this problem to train speed, refine methods and form skills. The ideas and methods of this topic, because you do this topic, will be deposited in your mind. You will encounter similar problems and similar phenomena in the future. When you stimulate the brain, the precipitation in the brain will be activated, so you will recall the scene of that year. So when you encounter this problem, you will immediately search for some solutions and answers. This is the meaning of doing the problem.

Mathematics is a subject that needs little memorization. There are many formulas in general mathematics, but these formulas can be used on the basis of understanding. As you become more and more proficient in using them, you don't need extra effort to remember them. So many people regard mathematics as a subject of memory, which is wrong. Mathematics has no burden of memory, as long as you have the ability to go up, you will certainly be able to block the enemy, and it is a very studious subject. When some students learn mathematics, they first worry about timidity, as if they were born unable to learn mathematics, all because they don't understand mathematics.

Now, we can understand the characteristics of mathematics. Mathematics is a subject that changes the brain. What is the purpose of learning mathematics, especially for junior students? Is to change your brain. To put it bluntly, when it is not rigorous, it becomes rigorous through mathematical training; When your calculation is not accurate, become accurate through mathematics; When you are not flexible, you become flexible through the stimulation of mathematics, so the comprehensive quality of this student is improved, and the comprehensive quality is improved. Students can do anything in the future. This is the characteristic of mathematics.

Therefore, although the subject of mathematics seems useless, those who master mathematics will have a foundation for everything in the future. For example, many winners of the Nobel Prize in Economics graduated from mathematics. They applied mathematics to the economy and formed an economic theory.