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> I failed exams so many times only because of that vocal reproduction of learned theory that required word for word knowledge.

That sounds odd for college-level math courses (note that I am just a first year engineering undergrad and therefore possibly know nothing). Do you have oral part in your exams?

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Yes. Talking with professor in front of you, and trying to pull everything out of my head is the hardest part. There I just don’t have enoigh time to sit down think about something and try to prove theorems on my own. And I’ve been on 2 faculties, more or less the same story on both. Forst had harder written test and assignments, second on which I’m currently has brutal oral part. I leave satisfied when i got the exam right, but the process of preparing it is fairly boring and fatiguing.

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