Go home and work it out late at night

It seems to be a common saying in math "You should go home and work out the butterfly lemma late at night", keywords being go home and late at night.

I've always liked having some time to think about math on my own. My belief is that you cannot just be taught math, you need to learn it on your own. When the teachers teach, they easily cover the hardest part that you may not even realize where the difficulty lied. Well, if you only need the conclusion, that another issue. But to learn math, I think it takes a lot of personal efforts out of class.

Guidance is definitely needed because you can reach higher when you stand on the shoulders of giants, but the most important part is usually something you need to figure out alone late at night.

Classroom education is kind of fake in this way because the teacher covers everything easily (because they know the answer) and without trying, you won't realize where the most amazing thing lies. There are times that you just need to know the conclusions like ... Jordan-Holder theorem but now we do sermonize math too much I think and that's probably why people hate it.