Someone changed my mind about repetition
I used to believe that the principal reason some people can solve pretty much any math problem on a given topic is that they have done more exercises on that topic. Hence, I concluded that more people would be better at math if teachers stopped trying to be nice and just assigned a lot more homework.
But, perhaps, more important than doing 50 problems is understanding the theory behind it, either on an intuitive or rigorous level, deeply. Perhaps making students do 50 problems is just mean, and any benefits of it aren't worth it.
But, perhaps, more important than doing 50 problems is understanding the theory behind it, either on an intuitive or rigorous level, deeply. Perhaps making students do 50 problems is just mean, and any benefits of it aren't worth it.