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Thread: No More Geometric Proofs

  1. #1
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    No More Geometric Proofs

    In the USA, most high schools across the country are not teaching geometric proofs. Schools that teach geometric proofs, spend more time on direct proofs than indirect proofs. Why is this topic not so important anymore?
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    Super Member Rebesques's Avatar
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    Re: No More Geometric Proofs

    Guess geometry is not important anymore.


    But no to worry. It will be rediscovered in the future.
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    Re: No More Geometric Proofs

    Quote Originally Posted by mathdad1965 View Post
    In the USA, most high schools across the country are not teaching geometric proofs. Schools that teach geometric proofs, spend more time on direct proofs than indirect proofs. Why is this topic not so important anymore?
    I do not guarantee that this is the answer. But here are my suspicions.

    (1) Proofs do not have any immediately practical use so the people who want education to be job preparation see no need for it. The fact that learning how to put together a logical argument is a skill that is useful both on and off the job escapes such people.

    (2) Probably more important is the fact that proofs in geometry meeting modern standards of mathematical rigor involve subtleties that only people who have thought deeply about mathematics perceive. Because Euclid does not meet modern (meaning post-1800) standards of rigor, we do not teach Euclid, but then we do not teach Hilbert or Bourbaki (except to college math majors) either. We present mathematics to high school students as simply arguments from authority.
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