"The United States gives students who don't love mathematics the most basic mathematics education, while giving geniuses who love mathematics the highest level of mathematics education."
For a long time, the myth of China people is, "Why do Americans produce so many awesome scientists when they are so poor at math?" ? The answer to this question has been very bad. I will give you a systematic science popularization by combining the points that "American students' mathematics is not simple at all" and my own experience!
First of all, let's say that "the United States gives students who don't love mathematics the most basic mathematics education."
Every region in the United States has hard and fast rules on what kind of mathematics literacy students should have after graduating from high school. Massachusetts, for example, conducts a unified examination for students of certain grades every year. One of the main contents of this unified examination is mathematics, and graduation from high school is not allowed. Therefore, basically every regular high school has the most basic math level requirements to graduate. As far as I know, this standard can probably operate simple trigonometric functions. This level, by the standards of China, is really not high, and many people can barely get by.
As a direct result of this low requirement, 99% of the students of American imperialists (99% are not exaggerating, maybe higher) are stuck in a level of barely being able to take care of themselves. Well, it's time to say "give the genius who loves mathematics the highest level of mathematics education". Take high school as an example. For some restless people who are good at mathematics, in order to appease them and not cause trouble to society, the school will provide advanced placement courses, which is the favorite AP course. Take mathematics as an example. The most advanced AP course in high school is called BC Calculus. When I was in high school in 2005, the textbook was like this:
Our task is to learn this book thoroughly from beginning to end. It is worth noting that as long as you have good grades in previous courses, you can take this course, regardless of grade. When I was at school, the youngest classmate in my class was Russian-American. He was only in the tenth grade when he took this course (equivalent to our first year of high school), and the final score of this course was A+. In our school, that is to say, his score in every exam is above 95. Everyone can find the content of this book. You learned this in senior one in America. Basically, before you learn vector calculus, after reading this book, you should be as handy as the four operations in calculus.