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Bill Marsh
Posts:
350
From:
Port Angeles, WA
Registered:
12/22/08


Re: Proportional Reasoning (related to April 24 webinar)
Posted:
Apr 12, 2012 11:08 AM


FWIW, I think Jack Rotman right to trace the importance of proportional reasoning back to working with quantities. Things like changing from kilometers to miles per hour.
The comparison of quantities approach to number concept development is related to this.
I wish I could find the second part of the paper below on the web. It deals with how we build quantities multiplicatively and is closer to Jack's topic. The articles are, as we would expect, wonderful. Part 1 is at mathdl.maa.org/images/upload_library/22/.../HasslerWhitney.pdf
MAA Writing Award 1969 "The Mathematics of Physical Quantities" by Hassler Whitney in The American Mathematical Monthly, vol. 75, 1968, pp. 115138, 227256 About the Author: Hassler Whitney was at the Institute for Advanced Study, Princeton University, at the time of publication.
Bill Marsh
2012/4/12 Jack Rotman <rotmanj@lcc.edu>: > If you are interested in what might be meant by ?proportional reasoning?, > you can take a look at a post on my blog at > http://www.devmathrevival.net/?p=852 **************************************************************************** * To post to the list: email mathedcc@mathforum.org * * To unsubscribe, email the message "unsubscribe mathedcc" to majordomo@mathforum.org * * Archives at http://mathforum.org/kb/forum.jspa?forumID=184 * ****************************************************************************



