Date: Feb 23, 1995 6:31 PM
Author: Tad Watanabe
Subject: long division
As Dr. Tomhave (I hope I remembered the name correctly) mentioned, the

example of unit pricing is not an appropriate one for the use of long

division algorithm. In fact, many people would not use unit price to

find the better deal. For example, $4 for 12 oz vs. $3 for 8 oz. You

can get two 12 oz's to get 24 oz for $8 OR you can get three 8 oz for

$9. The same amount for cheaper price means it's a better deal, right.

So, $4 for 12 oz must be a better deal.

I agree with the Standards in the sense that we should de-emphasize long

division when the divisor is larger than 2 digit numbers. However, I

also happen to believe that the long division algorithm is the only

standard algorithm that is "conceptual." It is the only algorithme where

you go from left to right, which seems to be children's natural

inclination. When using the partition idea of division, along with the

base model, your action is clearly reflected in the algorithm. So, I

think we can "teach" long division as a "side product" (I can't think of

any other word).