jamestg
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Okay so I'm revising for some January exams and would like a bit of insight into the best way of learning proofs for exams.

Quite a few of the proofs are not intuitive to me, so I feel like rote learning them is best at the moment. But I really don't think that's a suitable method for university level study...
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kkboyk
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(Original post by jamestg)
Okay so I'm revising for some January exams and would like a bit of insight into the best way of learning proofs for exams.

Quite a few of the proofs are not intuitive to me, so I feel like rote learning them is best at the moment. But I really don't think that's a suitable method for university level study...
I had the very same struggles during the first year of university. Whilst there is no best way to learn proofs, I'd recommend creating a list of definitions, propositions and corollaries in an notebook whilst you read a particular chapter, as most proofs will use the previous results and definition and build up on it. If a particular proof looks obscure to me, I'd usually google an alternative and easier to read proof.

The way I think over it in my head is kinda like thisL
  • briefly read the entire proof;
  • break each part of the proof and consider each bits separately;
  • attempt to explain each line in terms of previous ideas (e.g. definitions, examples, theorems);
  • Consider any questions or confusion that may arise, and study it separately.

Some great books I'd recommend that covers this are 100% Mathematical Proofs and How To Think Like A Mathematician.
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