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Richard Hake
Posts:
1,248
From:
Woodland Hills, CA 91367
Registered:
12/4/04


Re: Do not pass this by: Seventeen very wellspent minutes with Conrad W
Posted:
Dec 10, 2010 10:41 PM



Some subscribers to MathEdu might be interested in a recent post "Re: Do not pass this by: Seventeen very wellspent minutes with Conrad W" [Hake (2010)]. The abstract reads:
****************************************** ABSTRACT: Michael Paul Goldenberg called attention to a video by Conrad Wolfram titled: "Teaching kids real math with computers" <http://bit.ly/dUWJuB>. Jonathan Groves responded:
". . . .Conrad Wolfram. . . . gets to one root of the problem with mathematics education: We spend far too much time teaching hand computation and too little time on other aspects of problem solving: interpreting the problem, setting up a mathematical model for the problem, and interpreting the results of the mathematics in light of the problem we are trying to solve."
Well said, Jonathan Groves!
Wolfram made two points worth elaborating:
(1) teaching hand calculation is still useful as a basis for mental estimation  see e.g., Mahajan's (2010) "StreetFighting Mathematics."
(2) Because of its computational complexity, calculus has traditionally been taught very late; but by using computers, calculus concepts are "amenable to a much younger age group."
In my opinion, programs such as Wolfram's "Computerbased Math" <http://bit.ly/h7V2jX> and the Kaput Center's (2010) "Math In Motion" <http://bit.ly/f9jeT5>, if used in K8, can pave the way for the education of ninth graders in the basic ideas of Newtonian mechanics  thus facilitating Leon Lederman's (2001) "Physics First." *****************************************
To access the complete 13 kB post please click on <http://bit.ly/g01zyU>.
Richard Hake, Emeritus Professor of Physics, Indiana University Honorary Member, Curmudgeon Lodge of Deventer, The Netherlands President, PEdants for Definitive Academic References which Recognize the Invention of the Internet (PEDARRII) <rrhake@earthlink.net> <http://www.physics.indiana.edu/~hake> <http://www.physics.indiana.edu/~sdi> <http://HakesEdStuff.blogspot.com> <http://iub.academia.edu/RichardHake>
"Above all things we must be aware of what I will call 'inert ideas'  that is to say, ideas that are merely received into the mind without being utilized, or tested, or thrown into fresh combinations." Alfred North Whitehead (1929, 1967) in "The Aims of Education"
REFERENCES [All URL's shortened by <http://bit.ly/> and accessed on 10 Dec 2010.]
Hake, R.R. 2010. "Re: Do not pass this by: Seventeen very wellspent minutes with Conrad W," online on the OPEN! AERAL archives at <http://bit.ly/g01zyU>. Post of 10 Dec 2010 14:02:200800 to AERAL and NetGold. The abstract and link to the complete post are being transmitted to various discussion lists are also online on my blog "Hake'sEdStuff" at <http://bit.ly/dQhuih> with a provision for comments.
Whitehead, A. N. 1967. "Aims of Education and other essays. " Free Press. Amazon.com information at <http://amzn.to/fIUbXB>. First published in 1929. Note the "Look Inside" feature.



