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How to treat the training plan of mathematical science leaders in Qiu Chengtong, Tsinghua University?
Pure mathematics has always been "great achievements and thousands of bones." Tsinghua Mathematics Department enrolls more than one year 100 people, and there are more than a dozen people who plan to pursue a doctorate in pure mathematics when they graduate. Many people in the mathematics department of domestic universities have no confidence to be mathematicians after studying several grades in the first year.

Now, in my opinion, there is still room for improvement in Tsinghua's plan, that is, it should be allowed to recruit freshmen from other universities across the country. Because only after a few points and the baptism of the predecessors can we basically understand the cornerstone of contemporary mathematics, which is different from mathematics in primary and secondary schools and from mathematics competitions.

Mathematics in the Department of Mathematics emphasizes discovering and proving theorems. Although proving theorems is the main content of teaching, it is enough to eliminate many people. To put it simply, most mathematics students will feel stuck (or even completely frustrated) when they examine the complete proof chain of all important theorems in ordinary senior books one by one.

It is an excuse to say that middle school students who apply for mathematics department don't know what mathematics is or just want to be mathematicians on impulse. Most of these middle school students are doomed to be eliminated on the way to becoming mathematicians. Their future destruction has nothing to do with the cultivation of mathematics department, and many times they change careers after graduation.

Quality of the plan:

As long as more than 65,438+00% mathematicians become first-class research schools, Tsinghua's plan will not fail. If a few first-class mathematicians can be produced, it will be considered a success.

If we can produce a top mathematician who founded China's own Mathematics Institute, this plan will be a great success, even if everyone else in this plan stops doing mathematics and drops out of school. Those students who have made cannon fodder actually have a promoting effect on the winners, although it is more psychological.