Einstein said in his later years why he chose physics. He said: "In the field of mathematics, my intuition is not enough. I can't tell which research is really important and which topics are just unimportant. In the field of physics, I quickly learned how to find basic problems to work hard. " This is the same as Yang Zhenning's answer that young friends should study physics or mathematics. Yang Zhenning said: "It depends on which field you have higher judgment and greater love for beauty and miracles."
"Beauty" and "Miao" are not concepts of physics and mathematics, but aesthetic concepts of culture and art, which depend on one's cultural character and accomplishment. It can be seen how much cultural quality affects a scientist's choice of research direction, intuitive judgment and creative thinking. So what is beauty? There are two standards of beauty: one is that all wonderful beauty shows a strange balance relationship (Bacon), and the other is that "beauty is the internal harmony between parts and the whole." (Heisenberg)
2. Give people fish: "Once upon a time, there was a man who was very poor, but he devoted his life to Lv Zu. Feeling his heart, he suddenly fell into his home, and seeing his extreme poverty, he was not pitiful, so he should give a helping hand. Because he stretched out a finger and pointed to the stone in his yard, he suddenly turned into gold. Say: What do you want? The man bowed again: I don't want to. Lv Zu was overjoyed and said, "If I am sincere, I can give you this way. "The man said," Otherwise, my heart wants these fingers and ears. "
3. Lecture process: "The carefully worded narration in the textbook fails to show the struggles and setbacks in the creative process, as well as the hardships and long roads experienced by mathematicians before establishing a considerable structure. Once students realize this, they will not only gain insight, but also gain the courage to pursue the problems they attack persistently, and will not feel depressed because of their imperfect work. To be honest, describing how mathematicians stumble, how to grope their way forward in the fog, and how to get their results piecemeal should inspire any novice engaged in research. " (Klein)
4. Discipline history: "The history of a science is the most precious part of this science, because science can only give us knowledge, and history can give us wisdom." (Chemist Fu Ying)