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    Page 4 of 4 1 2 3 4
    Joined: Feb 2013
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    22B Offline
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    Originally Posted by ohmathmom
    Originally Posted by 22B
    Perhaps we should teach kids that multiplication is an Abelian group endomorphism.


    I prefer to stick to axioms like the distributive property:

    http://www.artofproblemsolving.com/Videos/external.php?video_id=21

    I don't understand your use of the word "prefer" here.

    22B #166557 09/04/13 09:23 PM
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    Originally Posted by 22B
    I don't understand your use of the word "prefer" here.


    Since Abelian groups are commutative, I prefer the distributive property because it distinguishes multiplication from addition and the commutative property doesn't. Also the distributive property is a concept elementary students can understand, so we don't need to get into endomorphism to explain it. Sorry to be so confusing, I was just trying to make the point that we don't have to read Devlin as arguing that we should teach college concepts to elementary students; we can explain multiplication in ways students can understand without teaching them an incorrect definition that has to be undone later.

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