I went through the Soviet/Russian school system with all the advanced topics being covered in high school as others described here. My moment of zen was on my third year in one of the top tech universities in Moscow. There were quite a few students coming from Novosibirsk University who were comfortably ahead of the curve when it came to math. When they showed their transcript ("zachetka"), they had ~3000 hours of Ca…
My personal experience is that it wasn't just hours. Those who liked math spent a lot of time on it after classes. Those who didn't, avoided extras and still did OK (they would not go to top universities, but the base would be OK, with some practice, if they decide to go to a mid-level school). The biggest difference for me in school was a consistent, well thought out program (one for the whole country) and books. A…
I spent my freshman year of high school in France, and went to a French school (this is 3ème, for my fellow Frenchmen).
I recall being stunned -- in the best way possible -- when our biology teacher started his class on the first day with: "So. You've seen X last year. Now we're going to talk about related-thing-Y".
That had never happened in my US curriculum. Never.