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Re: Kamii's Articles on Algorithms in Arithmetic
Posted:
Jul 6, 2009 4:15 PM
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> Dear Fellow Mathematicians and Fellow Mathematics
> Educators,
>
> I have read Constance Kamii's article "Piaget's
> Theory and the Teaching of Arithmetic" and the article
> "The Harmful Effects of 'Carrying' and 'Borrowing' in
> Grades 1-4" she had coauthored with Ann Dominick.
<< SNIP >>
FYI, for those relatively new to this discussion zone,
I have this reflex where if someone mentions Piaget, I tend
to mention Gattegno (as in Caleb), another constructivist
who did more for math with those Cuisenaire rods than
just about any three other constructivists combined
(including Piaget in that combo):
http://en.wikipedia.org/wiki/Cuisenaire_rods
You'll find Gattegno briefly mentioned in my signature
handout for the math teachers at Pycon, dutifully
attended by one of Gattegno's chief disciples (he totally
outranks me in that respect, plus PSF voted to "dump
Gattegno" but not because there's anything wrong with
that approach to algebra, just too many minors involved
for our >= TV-14 Monty Python aware subculture):
http://www.4dsolutions.net/presentations/p4t_notes.pdf
http://mybizmo.blogspot.com/2009/05/more-developments.html
(re our "dump Gattegno" decision)
Lots more in my blogs about Constructivism, its history,
one of several philosophies I track (American Pragmatism
and Transcendentalism being two others), perhaps this
pithy synopsis helping as a front end (mostly I fork off
into Physics, where constructivism was in general more
successful I'd say, probably because of Dr. Bob Fuller's
mentor, Karplus):
http://coffeeshopsnet.blogspot.com/2009/02/about-constructivism.html
Kirby
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