[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]

*To*: "eXtended Mind, Culture, Activity" <xmca@weber.ucsd.edu>*Subject*: [xmca] Numbers - Natural or Real?*From*: Andy Blunden <ablunden@mira.net>*Date*: Thu, 30 Jun 2011 18:52:54 +1000*Delivered-to*: xmca@weber.ucsd.edu*List-archive*: <http://dss.ucsd.edu/mailman/private/xmca>*List-help*: <mailto:xmca-request@weber.ucsd.edu?subject=help>*List-id*: "eXtended Mind, Culture, Activity" <xmca.weber.ucsd.edu>*List-post*: <mailto:xmca@weber.ucsd.edu>*List-subscribe*: <http://dss.ucsd.edu/mailman/listinfo/xmca>, <mailto:xmca-request@weber.ucsd.edu?subject=subscribe>*List-unsubscribe*: <http://dss.ucsd.edu/mailman/listinfo/xmca>, <mailto:xmca-request@weber.ucsd.edu?subject=unsubscribe>*Reply-to*: ablunden@mira.net, "eXtended Mind, Culture, Activity" <xmca@weber.ucsd.edu>*Sender*: xmca-bounces@weber.ucsd.edu*User-agent*: Thunderbird 2.0.0.23 (Windows/20090812)

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 One takes /counting/ as the basic Action The Other takes /comparison/ of two lengths as the basic Action. One situates the basic Action within a /Discourse/ The Other situates the basic Action within /Activity/ One is represented by /Anna Sfard /(see https://www.msu.edu/~sfard/Thinking%20as%20Communicating%20-%20First%20pages.doc) One is represented by /V V Davydov/ (eg http://www.maa.org/devlin/devlin_01_09.html)

Any thoughts my friends? Andy -- ------------------------------------------------------------------------ *Andy Blunden*

Home Page: http://home.mira.net/~andy/ Book: http://www.brill.nl/default.aspx?partid=227&pid=34857 MIA: http://www.marxists.org __________________________________________ _____ xmca mailing list xmca@weber.ucsd.edu http://dss.ucsd.edu/mailman/listinfo/xmca

**Follow-Ups**:**Re: [xmca] Numbers - Natural or Real?***From:*Larry Purss <lpscholar2@gmail.com>

- Prev by Date:
**Re: [xmca] Showing, Speaking, Knowing** - Next by Date:
**Re: [xmca] Numbers - Natural or Real?** - Previous by thread:
**Re: [xmca] Go Back to Where you Came From** - Next by thread:
**Re: [xmca] Numbers - Natural or Real?** - Index(es):