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At 12:49 PM 10/11/2003 -0500, Jack, you wrote
On Fri, 10 Oct 2003, Richard Hake wrote:
Alan Kay wrote (quoted by permission...):
I have observed a very
talented 1st grade teacher - Julia Nishijima - teach the deep ideas
of the differential and integral calculus to her 6 year olds with
100% success.
Wow! Does anyone know what "success" means in this context?
Regards,
Jack
I speculate that "success" in teaching deep ideas of calculus by additive
examples, means that a six year old would be able to
identify a situation where a small increase in one variable
is associated with a small change in a matched variable
in a named ratio, and that the sum of the values of a matched variable
can be counted between boundaries specified in a given variable that
is associated with the counted variable.
Brian Whatcott Altus OK Eureka!