The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Education » math-teach

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Algorithms, long division in particular
Replies: 3   Last Post: Feb 24, 1995 6:47 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Tad Watanabe

Posts: 442
Registered: 12/6/04
Re: Algorithms, long division in particular
Posted: Feb 23, 1995 9:16 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Thu, 23 Feb 1995, Edward S. Miller wrote:
> === stuff deleted ===

> Now for my personal spin on algorithms. Humans have spent countless
> effort to develop efficient means for accomplishing all sorts of tasks.
> In mathematics, we see dozens or thousands of algorithms put to use,
> depending on our level of immersion and experience. The long division
> algorithm and the multiple digit multiplication algorithm (again, the
> one I use based on the distributive law) are the earliest instances I
> recall of iterated algorithms with multiple _different_ operations;
> division is the first with a nontrivial ending condition.

Could you expand on this a little?

> Throughout subsequent mathematics we encounter such algorithms of all
> types. Sometimes, in "real life," for physical, temporal, or economic
> reasons, it is necessary to use algorithms for single or repeated
> operations. We do need to teach our students how to apply algorithms. I
> happen to prefer long division because if we have to wait for
> factoring or Euclid's algorthm or Horner's algorithm or L'Hopital's rule,
> we're dead before we start.

But you are not advocating teaching in the sense of imposing algorithms
on students whether or not they make sense, are you? Or, are you saying
that there are contexts in schooling (which I happen to believe is a part
of "real" life), there are occasions we should?

I will appreciate a little more elaboration.

Tad Watanabe
Towson State University
Towson, Maryland 21204

PS: I'm sorry that I did not include my "signature" with the earlier post.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.