Re: [xmca] concept

[Wolff-Michael Roth <mroth@uvic.ca>]

Hi Eric, this might be of interest to you:
Roth, W.-M., & Thom, J. (2009). Bodily experience and mathematical  
conceptions: From classical views to a phenomenological  
reconceptualization. Educational Studies in Mathematics, 70, 175–189.

(we use "conception" to refer to the concrete realization of a concept  
by a person)

Michael


On 2009-10-27, at 8:16 AM, ERIC.RAMBERG@spps.org wrote:

Hello all:

Recent discussions have caused me to ponder the "concept of concept".   
It
is not merely a property that something posseses; for water certainly
contains hydrogen and oxygen regardless of whether it is labeled as  
such.
However; if I am learning about water than I am provided the opportunity
to observe and experiment with the properties water exhibits/ 
contains.  At
zero degrees celsius the water freezes, at one hundred degrees celsius  
it
boils.  Again these are properties but as I am learning about them do  
they
become concepts?  That liquids freeze and boil.  Is answering these
questions on a science quiz enough to claim a student can conceptualize
boiling and freezing?  I believe LSV would answer no.  So then back to  
the
blocks experiment and what precisely was LSV proposing about the
development of concepts?

eric
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