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Topic: What are the "basic" facts?
Replies: 20   Last Post: Jul 6, 1995 8:34 PM

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Posts: 90
Registered: 12/6/04
Re: What are the "basic" facts?
Posted: Jul 1, 1995 12:15 AM
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In a message dated 95-06-30 18:45:34 EDT, you write:

What, IMHO, are some of the "basic" facts of multiplication?

Multiplication is commutative.
Multiplication is associative.
1 is the multiplicative identity.
0 is the multiplicative "annihilator."
Multiplying x by -1 yields -x.
Given x > 0:
if n > 1, then n * x > x
if 0 < n < 1, then n * x < x (an example where multiplication "makes
things smaller")
Additionally, students should be able to represent multiplication through
various models (area, arrays, etc.)

>Yet, it *seems* (I have no evidence other than my observations)
>that many teachers are far more concerned that students memorize the "times
>tables" than they are about students understanding the above concepts.
>Norm Krumpe
>Indiana University of Pennsylvania
>Indiana University at Bloomington

How can students understand the above concepts if they don't know their times
By pushing buttons on a calculator so that the magic black box can give them
some numbers?


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