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There are many examples of great teachers making great disciples.
When Mr. Yuan, Chairman Mao's Chinese teacher, was studying in Hunan No.1 Normal University, he had high demands on Chairman Mao's composition. Although Mao Zedong's composition was already Grade II when he entered school, his teacher often gave him a failing grade, in order to make him strive for perfection. (I suggest you look at the middle part of Just Boys and Girls, which is clearer.

1949, 10, 10 The news of the establishment of People's Republic of China (PRC) soon spread to the United States. Just when Hua was young and promising, and his creation was extremely vigorous, he resolutely gave up his tenure as a tenured professor at the University of Illinois and his excellent working and living conditions, and led his family back to Beijing in the spring of 1950. He devoted himself to the development of mathematics in China with infinite joy. He wrote in a letter to Academician Noguera of the Soviet Union: "I am very happy to tell you that I have resigned as a professor at the University of Illinois in the United States. Now I have served my motherland and I have resumed my post as Professor Tsinghua University of China."

After returning home, Hua devoted all his energy to the socialist construction of the motherland. First of all, he pays attention to training young mathematicians. He not only taught them mathematical knowledge and research methods, but also paid attention to educating them to love the motherland, people, majors, and have good academic ethics, and was very strict with them. At that time, he paid attention to looking for promising young mathematicians in society: among his students, Wan Zhexian was outstanding in algebra; Lu Qikeng, who is physically disabled and determined, is tenacious and enterprising; High flyers Wang Yuan recommended by Zhejiang University; Chen Jingrun, still smarter than a fool, was returned by the employer; Ding, late bloomer, and.

Secondly, in order to make them grow up, he taught his own learning methods. He studied generalized function theory with young people, which was a new abstract theory at that time, but he revealed the core of this theory-Fourier series in a very elementary way. He showed up and taught students how to peel off some beautiful coats of abstract theories. Grasp the crux of the problem and teach students how to trace back the basis and motivation of some abstract theories in some special concrete cases. This is called grasping the essence of the problem and seeing the essence. This is a creative learning method. In order to cultivate the atmosphere of learning mathematics, teachers who study inside or outside will not relax their requirements. Students will always answer a math problem (advanced or elementary) put forward by Hua Lao whether they meet him in the corridor or on the road. This makes young people dare not despise.

It is also a good form to organize discussion classes and carry out collective research. It can not only brainstorm, but also enliven the academic atmosphere. At that time, he often attended discussion classes, constantly asking questions and questions, and pushing everyone's thoughts to a more active realm. In 1950s, he presided over two "number theory" discussion classes. One is a basic class, and he gives lectures once a week. Handouts are distributed to students, who are responsible for reading them carefully and discussing them repeatedly before finalizing them. The classic book Introduction to Number Theory came into being. The other is special and tackling key problems, that is, Goldbach conjecture discussion class. By discussing this problem, they got an important way to master "Analytic Number Theory". A "China School" of "Analytic Number Theory" was born here, and it also cultivated Yuan and Chen Jingrun in the world.

Recruiting graduate students is also an effective way to train talents and bring them out early. The profound achievements made by Feng Keqin, a graduate student in China, and Zhong Jiaqing, a graduate student under the guidance of Lu Qikeng, were appreciated by two mathematicians, both of whom won the Mathematics Prize.

When his students win various awards and titles, they should have a deeper understanding of the strict requirements of teachers in the past, which is a real concern.

Ji Chang learned to shoot arrows.

Gan Fei was an ancient archery expert. All he has to do is draw a bow and shoot an arrow at the beast, and the beast will fall; Shoot an arrow at a bird flying in the sky, and the bird will fall from the sky in an instant. As long as anyone who has seen Gan Fei shoot arrows, there is no one who does not praise him as a professional archer. It's true that the arrow is not empty, and it hits every shot. Gan Fei's student is Wei Fei. He studied archery with Gan Fei very hard. A few years later, Wei Fei's archery caught up with his teacher Gan Fei. He was really a teacher. Later, another man named Jichang came to worship Wei Fei as a teacher and learn archery from Wei Fei.

After Wei Fei accepted Ji Chang as an apprentice, it was really strict for him to learn archery from Ji Chang. When he first started to learn archery, Wei Fei said to Ji Chang, "Do you really want to learn archery from me?" You know, you can't learn real skills without hard work. Ji Chang said: As long as you can learn archery, you are not afraid of hardship and are willing to listen to the teacher's advice. Therefore, Wei Fei said to Ji Chang very seriously, "You should learn not to blink before you can talk about archery in school. 」

In order to learn archery, Ji Chang returned home and lay on his back under his wife's loom, staring unblinkingly at his wife's pedaling while weaving. Every day, every month, I think about Wei Fei's request and his determination to go to Wei Fei. If you want to learn real kung fu and become an archer, you must practice hard and persistently. I practiced for two years without interruption; Even if the tip of the awl pierced the edge of the eye socket, his eyes were unblinkingly. Ji Chang packed his bags and left his wife for Wei Fei. After listening to Ji Chang's report, Wei Fei said to Ji Chang, "I haven't learned home yet." To learn archery well, you must also practice your eyesight. You must practice looking at small things like big ones, vague things like obvious ones. You have to keep practicing before you can tell me. 」

Ji Chang returned home, chose the thinnest hair on the yak's tail, tied a small louse at one end, and hung it on his own window at the other end, staring at the small louse hanging at the bottom of yak hair's window. Look, look, stare. In less than 10 days, the lice seem to be getting bigger gradually. Ji Chang still insists on practicing hard. He continued to watch, watch and stare. Three years later, I saw the little lice tied to the lower end of yak hair getting bigger and bigger, as big as a wheel. When Ji Chang looked at other things, they all got bigger, so big that they looked like huge hills. So, Ji Chang immediately found a strong bow with horns grown in the north and a sharp arrow made of bamboo produced in the north. He took a bow in his left hand, put an arrow in his right hand, focused on lice as big as wheels, and shot the arrow out. The arrow just passed through the center of the louse, but yak hair, who hung the louse, was not shot off. At this time, Ji deeply realized that he should study hard. He told Wei Fei about this achievement.

Wei Fei was so happy for Jichang that he even jumped for joy. He also patted his chest with his hand and went over to congratulate Jichang and said, "You have succeeded. You have mastered the secret of archery.

You pick the main one.