| > Can you imagine a hypothetical education system where students leave secondary school with an advanced-undergraduate level of mathematical maturity? That would have been my dream. > Why or why not? Mathematics is the foundation of science, so that would have been helpful for my (then) future studies. > What would such a system have to look like? Not teaching algorithms to resolve problems, teaching from the source of the mathematical principles, I mean the practical issues that caused scientist to develop Math. I suppose that the Russian School of Mathematics[1] teaches Math that way, like in some Soviet books that were mainly practical. Also, it is needed to have 5 hours per week of Math, to not have a fast pace when teaching kids. Math needs some time to "assimilate", and IMHO, 3 hours/week was not enough. In this system, once you get out high school you could pursue the proofs of each theorem or a more inner and rigorous approach to learning Math. [1] https://www.mathschool.com/ |