1。 The mathematics level of middle school students in China can't surpass France, Germany and Russia, and I'm afraid it will be reversed. Compared with the United States, the polarization in the United States is too serious. Ordinary students are really bad at math, but good ones are also very good. You may be concerned that IMO China is the first team all the year round, but the US team is also the second team all the year round. There is no insurmountable gap between the first and the second. Of course, some people will say that the IMO American team has many Asians; However, firstly, Asians do not seem to be the absolute majority (except in recent years); Second, Asians are also Americans, and most of them were born and educated in the United States. Then their achievements certainly reflect American educational achievements.

PS: Regarding education in the United States, I recently read a news that after Trump planned to cut public education expenditure, many public middle schools in the United States began to take more vacations. The number of courses has been cut because they have no money to start. . After reading this, I understand why people who value children's education in the United States would rather spend a lot of money to send their children to private middle schools or good public middle schools (in fact, it is the same as choosing schools in China) than to send their children to ordinary public middle schools, because it is really unreliable. . Moreover, most of the samples we use to compare and demonstrate that "Americans are poor at math" come from public middle schools, so it is not particularly strange.

2。 The United States has a talent concentration effect (after all, it is a lighthouse country), and it often recruits good mathematics doctors; From Eastern Europe and China. Europe, almost the birthplace of modern mathematics, has a profound background, while China is not dominant in education and scientific research. And China? Schools in China can only attract students from the third world. . Set the strength of a country and compare it with the whole world. Needless to say, what happened?

In fact, the progress of mathematics in China is also very obvious. More and more mathematicians in China have made internationally influential achievements-of course, few of these achievements can become news, so the general public does not know. But isn't it a bit far-fetched to say that China students are top in mathematics, so mathematics research must also be ahead of the world? First of all, there is something wrong with the premise that China students are top students in mathematics. Can you conclude that IMO is top in mathematics just because they have good grades? The game depends on training. Both China and the United States have national competition, selection and training systems, but the IMO performance of France, a powerful mathematical country, seems to be unsatisfactory-because people don't care at all, just send a few people to take the exam and get a bronze medal. Anyway, I can't walk to Paris Normal University by participating in IMO, can I? Secondly, the academic level is not entirely determined by the students' own abilities. The whole academic environment is the influencing factor of undergraduate education. It is much more difficult to train a first-class mathematician than to train an IMO gold medal; The latter is mainly to have a good selection mechanism and training mechanism. Considering the population and basic education in China, this aspect is not a problem, and a particularly excellent competitor will be produced almost every two or three years; The former needs to be carefully carved, and it needs the "private giving and receiving" of the older generation to the younger generation. The training cycle is several years, ten years or even decades.