How to learn math well and be a mathematician

Now that there is a goal. Then study seriously. Gain knowledge.

When studying. Down-to-earth, one step at a time...No, just ask.

Go for it. Go after your goals and achieve your dreams. In fact, success is very simple, you just need an unwavering goal and Nuri's struggle.

Don't think so much now, learn well first, there will be opportunities in the future, if you don't learn well, you won't have a chance, the method that suits you is a good way, use your brain more, practice more, ask more, and be diligent.

1.When he was a child, Hua Luogeng's family was poor, and he dropped out of school before graduating from junior high school. While he helped his father look after the store, he still didn't forget to study.

With no time, he developed the habit of waking up early, being good at using fragmentary time, and being good at mental arithmetic. There are no books, no paper and no pen, and he has developed the habit of being diligent in his hands and diligent in independent thinking.

2.When the mathematician Gauss was in high school, every night the teacher would give him one or two difficult problems for him to practice, but he could basically solve them quickly, but one day, the teacher gave a problem, and he used one night to make it, and then when he came to the school and asked the teacher, he learned that the problem was accidentally caught by the teacher, which is a mathematical problem in the world and has plagued mathematicians for more than 100 years.

To be a good mathematician, you need to have three qualities: skill, wisdom, and insight

First of all, you need to be smart (wisdom), mathematics is indeed a game played by smart people, don't say that diligence can make up for clumsiness, this is not applicable to mathematics.

The second is skill, you need to constantly do problems to supplement the training of skills, and these skills help to better understand the knowledge.

The third and most important point (insight) is that a good mathematician needs to have deep insight, so that he can stimulate his creativity, a lot.

This is what people lack the most, which requires both accumulation but always a sense of mathematics. I believe that number sense exists, just like Euler, Galois, Ramanujan, Gauss, etc., etc., and their experiences illustrate the importance of number sense.

I have always believed that mathematicians are only good and great, because those who can be called mathematicians are excellent in their field, but the people who can be called great are people such as Gauss, Poincaré, Hilbert, etc., who have single-handedly established a series of theories to form a branch of mathematics.

There are many outstanding mathematicians in China, but there are very few great ones, and Yau Chengtong, who has won the Fields Medal, cannot be called great, but Chern.

Think about the problems in your life and turn them into mathematical models and think about them.

First of all, you must be interested in mathematics, and you must also have the spirit of hard work, the determination and patience to overcome difficulties, and the calmness of being willing to be lonely. After possessing these spiritual qualities, in order to become a mathematician, of course, you must have a certain foundation in mathematics (choose a favorite direction to study for a doctorate), and make some extraordinary achievements, such as solving important unsolved problems, or opening up new fields, or creating new theories, ideas and methods.

Don't believe too much upstairs. It's hard to be a mathematician, especially nowadays in mathematics, which has a wide range of categories, and it's nice to be able to make a big difference in one branch. Mathematics is important to the mind, you have to understand the history of mathematics, and see how mathematics got to where it is today.

Let's see how some important problems are solved, such as Fermat's theorem. This is not hard work can be done, it requires thought, but thinking about this thing, you also understand, is like fog.

So now, you should study with peace of mind, and think about thinking, logic, etc. every time you reflect after the exam. Because you're over 130. The foundation must be good.

What is needed is a breakthrough in the bottleneck, which is difficult to say. As for calculus, this high number is too general, because it is impossible to teach you a few years, it takes a semester to learn, history takes hundreds of years to form a system, you want to learn it in a semester, do you think you can learn it well? If you look at the history of mathematics and think about why it happened, I think it's more useful than if you grasp it.

Because you are still a young person, you still have opportunities and time.

As for the competition, it is very important for you to relax and be confident. The results don't mean anything, you do well in the test, it's not much use. Now computers are better than anyone else.

Again, thinking is very important, and thinking can't be tested. Ideas rely on integration, not only in the world of mathematics. Good luck.

It takes hard work to learn math well, and it takes talent to become a mathematician.

I'm also a math enthusiast, and there are many variables in the math world, such as the fact that there is an oral legend about Professor Feverman in the math world. He said that when he was 17 years old and in graduate school, one day his professor listed on the blackboard "ten difficult problems in the history of the discipline".

I was late for the day of the tip, and I didn't know why, thinking it was the professor's assignment. Just copy it back. A week later, a red-eyed Feverman approached the professor and complained

How do you give such a difficult assignment? I haven't slept for a few days, and I've only done four questions, so I can't help it. You can only do as much as you want.

The professor almost fainted.

You can imagine that if he had known that it was "the top 10 problems in the history of mathematics", he would have been daunted. I just want to tell you that if you have an ideal, stick to it, don't be deterred by difficulties, only by believing that miracles will happen.

Another point, it is recommended not to spend a lot of time entangled in Olympiad mathematics, there is no point, there is time you can study the university's "Advanced Mathematics". "Mathematical Analysis" and "Advanced Algebra" for mathematics majors are the basic courses required for the postgraduate entrance examination of mathematics. Only by standing tall, can you see far, you have the conditions to learn "Advanced Mathematics", in the "Xidongwang" can **Peking University Professor Cai Gaoting**Teaching, very good, I still come to see, hehe.

When a child's grades are not good, parents will let their children participate in various after-school tutoring classes. The current tutoring class is very expensive, at least 100 yuan an hour, and the one-to-one fee of New Oriental or Xueersi is more than 200 per hour. But spending so much money still can't solve the problem of poor academic performance of children, because the teaching method used by extracurricular institutions is exactly the same as that of schools, which is still indoctrination learning.

The only difference between them is that the teacher outside of class will pay more attention to your child (after all, you spend so much money).

Therefore, when you tell your child about many methods of learning mathematics, you may wish to find a way to change this indoctrination learning method, so that your child can feel the value and fun of mathematics, and when he takes the initiative to learn mathematics, he is naturally willing to find a learning method that suits him.

The value of mathematics.

There is a huge problem in the whole field of education, which is that children are not taught the purpose of learning a certain science. Take math as an example, the teacher repeatedly emphasizes that math is for you to succeed in the exam, and the student is the least concerned about the exam. Mathematics is very close to life, we use it when we go to the supermarket to check out, plan a family barbecue, and choose toys based on pocket money...

But these teachers and parents did not tell their children, let alone take them to experience. Therefore, I suggest that parents and teachers can start from real life scenarios when teaching, and when they encounter the need for mathematics to solve problems, children can understand the value of mathematics.

Secondly, mathematics is essentially a tool, and the basic knowledge of mathematics is required in chemistry, physics, biology, computer science and other disciplines. In the case of computer science, the most important thing in programming is algorithms, and algorithms are mathematical models. Therefore, it is necessary for children to understand the value of mathematics when they are exposed to different subjects, but our current teaching format completely separates these subjects, and it is difficult to have opportunities for interdisciplinary learning.

The joy of math.

The joy of mathematics comes from two things: the sense of accomplishment of using mathematics to solve problems, and the fun of the mathematical content itself.