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Re: [xmca] Numbers - Natural or Real?
- To: ablunden@mira.net, "eXtended Mind, Culture, Activity" <xmca@weber.ucsd.edu>
- Subject: Re: [xmca] Numbers - Natural or Real?
- From: Huw Lloyd <huw.softdesigns@gmail.com>
- Date: Fri, 1 Jul 2011 22:35:38 +0100
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On 30 June 2011 09:52, Andy Blunden <ablunden@mira.net> wrote:
> I don't really have an opinion on this matter, but I would be interested in
> listening in on those who may have an informed opinion.
> I see two different approaches to the teaching of mathematics.
>
> One takes the /Natural/ Numbers as the basic concept of the subject
> The Other takes the /Rational/ Numbers as the basic concept of the
> subject
>
The Davydov example, described in "Cultural-Historical Approaches to
Designing for Development" describes quantity as the basic concept. Which
seems sensible to me.
Both magnitude and multitude are variants of quantity -- a concept that
entails a number along with a unit of measure.
>
> One takes /counting/ as the basic Action
> The Other takes /comparison/ of two lengths as the basic Action.
>
In both cases I would ascribe measuring as the "basic action", which
includes the pattern matching found in counting apples.
Huw
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