Discussion:  Roundtable 
Topic:  Fractions, concept and calculations 
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Subject:  RE: more on Fractions, concept and calculations 
Author:  ihor 
Date:  Jan 24 2005 
reference to the chapter on rational numbers. I'm printing it out  though very
slowly  one page at a time  as we speak.
Ihor
On Jan 23 2005, tackweed wrote:
> One source that has recently appeared <i>How Students Learn:
> History, Mathematics, and Science in the Classroom (2005)</i> (you
> can read it online):
http://www.nap.edu/books/0309074339/html/ 
> look at section 7, 'Pipes, tubes and beakers' or if you are really
> in a hurry go to about pages 322 to 331.
The information shows an
> approach on how to tie student experience into the fraction
> situation. The authors go to lengths to show how fractions are
> confusing in terms of past number experience which they claim is
> based on additive reasoning, whereas rational numbers require
> multiplicative reasoning. While it is not really new stuff, It has
> given me pause as to how various scripts and applets might be
> devised to bridge whole number  rational number experience.
 
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