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    I am struggling to learn how to prove things. The vast majority of the time I see a "Prove that" question in my textbook, I cannot find a way to get to the solution. Sometimes I can prove by counter-example by merely plugging values into equations and testing them, but other than that, this is something that I am finding rather difficult to pick up. Any guidance?
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    (Original post by Illidan2)
    I am struggling to learn how to prove things. The vast majority of the time I see a "Prove that" question in my textbook, I cannot find a way to get to the solution. Sometimes I can prove by counter-example by merely plugging values into equations and testing them, but other than that, this is something that I am finding rather difficult to pick up. Any guidance?
    Proofs is a very versatile topic so you just need to get a hang of what type of proof goes where. We can't really guide you on the generality of it other than some specific question and what to use to approach them correctly.
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    (Original post by Illidan2)
    I am struggling to learn how to prove things. The vast majority of the time I see a "Prove that" question in my textbook, I cannot find a way to get to the solution. Sometimes I can prove by counter-example by merely plugging values into equations and testing them, but other than that, this is something that I am finding rather difficult to pick up. Any guidance?
    This is the hardest part of mathematics. There's no real way to learn how to prove things other than:

    a) being aware of the various methods of proof (contradiction, contrapositive, direct, induction, etc)

    b) understanding a little bit about mathematical logic

    c) looking at other people's proofs and trying to understand them, and using them to learn reusable tricks

    See also:

    https://math.stackexchange.com/quest...ood-at-proving

    and look for similar resources.
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    I see, I had a feeling the concept was going to be rather abstract and difficult to explain in a concrete manner. This is precisely what intimidates me, because proofs will, of course, come up in the exams, and i'm not sure what i'm going to do.
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    (Original post by atsruser)
    This is the hardest part of mathematics. There's no real way to learn how to prove things other than:

    a) being aware of the various methods of proof (contradiction, contrapositive, direct, induction, etc)

    b) understanding a little bit about mathematical logic

    c) looking at other people's proofs and trying to understand them, and using them to learn reusable tricks

    See also:

    https://math.stackexchange.com/quest...ood-at-proving

    and look for similar resources.
    I'm glad you agree that this is the hardest part of Mathematics, I haven't struggled with anything in the specification so far as much as I have with this. Thank you for the advice, though
 
 
 
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