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

 Messages: [ Previous | Next ]
 MCotton@aol.com Posts: 90 Registered: 12/6/04
Re: What are the "basic" facts?
Posted: Jul 1, 1995 12:15 AM

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
tables?
By pushing buttons on a calculator so that the magic black box can give them
some numbers?

marge

Date Subject Author
6/21/95 Norm Krumpe
6/22/95 Norm Krumpe
6/23/95 A. Karassowitsch
6/23/95 Norm Krumpe
6/29/95 Janet V Smith
7/1/95 Arthur Howard
6/23/95 Norm Krumpe
6/23/95 Norm Krumpe
6/23/95 Norm Krumpe
6/30/95 Norm Krumpe
7/6/95 Chi-Tien Hsu
7/1/95 MCotton@aol.com
7/1/95 Kevin J.Maguire
7/1/95 Norm Krumpe
7/1/95 Norm Krumpe
7/2/95 MCotton@aol.com
7/2/95 Norm Krumpe
7/2/95 Steve Means
7/4/95 MCotton@aol.com
7/4/95 Norm Krumpe
7/6/95 Eileen Abrahamson