In the United States, the advantage of repeating the gradual teaching method year after year is that children of all qualifications can learn basic mathematical concepts. A child in senior one doesn't understand a concept, but he began to understand it in senior three, and may soon understand it. Will this bury the talents of good students? The answer is: no.
Although the math level of Americans is generally low, their math competition results and research ability are very strong, because those children who are truly talented and love math can get the best learning and training opportunities. I heard a friend of a math professor in an American university say that over-training the ability of calculation will inhibit the ability of mathematical thinking. That's why they don't train children to calculate.
In the American way of education, children with mathematical talent will truly understand the essence of mathematics, learn to model and reason, make logical judgments, and have strong integration and innovation ability. Of course, Chinese and American teaching have their own advantages and disadvantages, but if we can lay a good foundation, make mathematics education closer to life and make education more diverse and interesting, children may like mathematics more.