How do you make sure that you've understood a subject and

>>8885612

Write questions on a card. Shuffle them and then answer them without using books or notes.

Alternatively, try to explain it to someone and let them ask questions.

>>8885612
Explain it to someone else

>>8885614
>>8885727
>explain it to someone else
What if you're a friendless shut-in virgin though?
Not OP btw.

>>8885742
Post it on /sci/.
At worst you get a dead thread, at best you get replies that deepen your understanding or hone your intuition of the subject
The most likely outcome will probably be that you end up educating a few lurkers on the board, which is not too bad all things considered

>>8885742

Start a wordpress blog, write articles about the thing you're learning.

While I was studying algebraic number theory, I would go on stack exchange and look at ANT questions and/or diophantine questions and try to solve them, even if they took hours. I learnt a lot from that tbqh, pham

>>8885754
Thanks.
>>8885768
I don't think learning via explaining would be efficient if you have no feedback.

>>8885810
you create your own feedback, by finding yourself unable to intuitively explain a concept mid explanation, trust me

but also try math stack exchange as i said in my post >>8885793, and you will get feedback if you reply a wrong answer

>>8885612
do the hard problems
math books always have good problems

>>8885768
This is actually a good idea. You have incentive to explain things correctly.

>>8885614
Wouldn't Dunning Kruger be in effect there though?

>>8885612
Become a professor, teacher, teaching assistant, tutor
Await feedback
/thread

>>8885612

1000 cock stare

>>8886043

You have a point but I try to keep myself humble so I minimize it. Try not to think about such things too much or you'll block yourself from doing anything.