Having also studied math, my experience is that they probably didn't. Less than 1% of the students I have ever come across in any subject have cared enough about the sheer act of learning to ask questions. The rest were there for a piece of paper, and nothing more.
Being right, does not endow the right to be rude; politeness costs nothing.
Being unknowing, is not the same as being stupid.
Expressing a contrary opinion, whether to the individual or the group, is more often a sign of deeper thought than of cantankerous belligerence.
Do not mistake your goals as the only goals; your opinion as the only opinion; your confidence as correctness. Saying you know better is not the same as explaining you know better.
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