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Topic: Math Wars Philosophizing in the NY Times
Replies: 67   Last Post: Jun 28, 2013 11:06 PM

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Clyde Greeno @ MALEI

Posts: 220
Registered: 9/13/10
Re: Math Wars Philosophizing in the NY Times
Posted: Jun 17, 2013 12:52 PM
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The authors essentially capsulate "the math wars" as being a dispute
between competing values held for two differing kinds of instructional
outcomes: (1) "traditionally", students' abilities to perform calculations
of kinds needed in specific STEM encounters, and (2) "progressively",
student's personal powers for thinking their own way through mathematical
challenges.

The authors attempt to bridge that gap by pointing out some underlying
connections between mathematical thinking and effective use of algorithms
... and their claims that students' struggles and experiences with
prescribed algorithms nurtures the development of thinking powers.
Unfortunately, their philosophic musings badly fail to pave a way for
resolving "the math war" so as to provide nationwide benefits to the masses.

[So far, only a small (and too, too small) percentage survive "traditional"
instruction long enough to enter STEM-specific higher education programs.
So far, "progressive" curricula have largely failed to salvage the rest ...
most of whom are early trained to avoid curricular mathematics, as much as
possible within the sights of their respective aspirations.]

In truth, "the math war" is a straw man created through defenses of
entrenched and innovative instructional orientations. The true silliness of
the dispute ... and the professional stupidity of both sides ... comes
through near-universal failure of the competing professors to clinically
study how humans most naturally learn K-calculus mathematics.

It now is clinically certain that each of the (K-calculus) THEOREMS that
the authors call algorithms can be common-sensibly concluded by any normal
human ... given a natural-learning evolution. [Any serious, qualified
investigator can re-confirm that claim. Private dialog on the specifics of
"how to" is welcome.]

K-12 algorithms which are personally concluded by the learners are more
easily mastered, more efficiently retained, and more effectively invoked.
Meanwhile, such learning can be guided to progress through creative,
analytic, systematic, gratifying, and empowering instructional modes.

When the science of psychomathematics is so-used as a lens, it is seen the
there is no essential conflict between the two sides of "the math war."
Rather, the "war" results from the nationwide failure of American professors
to educate the profession in how to teach algorithms in ways that develop
students' personal rational powers for mathematical thinking.

Cordially,
Clyde





- --------------------------------------------------
From: "Joe Niederberger" <niederberger@comcast.net>
Sent: Monday, June 17, 2013 9:28 AM
To: <math-teach@mathforum.org>
Subject: Math Wars Philosophizing in the NY Times

> Everyone here should read it -
>
> http://opinionator.blogs.nytimes.com/2013/06/16/the-faulty-logic-of-the-math-wars/?hp
>
> Cheers,
> Joe N
>



Date Subject Author
6/17/13
Read Math Wars Philosophizing in the NY Times
Joe Niederberger
6/17/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/17/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/17/13
Read Re: Math Wars Philosophizing in the NY Times
Clyde Greeno @ MALEI
6/17/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/17/13
Read Re: Math Wars Philosophizing in the NY Times
Domenico Rosa
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/18/13
Read Re: Math Wars Philosophizing in the NY Times > K-calculus
Clyde Greeno
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/18/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/19/13
Read Re: Math Wars Philosophizing in the NY Times
Dave L. Renfro
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Richard Strausz
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
W. Stephen Wilson
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/22/13
Read Re: Math Wars Philosophizing in the NY Times
W. Stephen Wilson
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/20/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Robert Hansen
6/22/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
Joe Niederberger
6/22/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/23/13
Read Re: Math Wars Philosophizing in the NY Times
kirby urner
6/21/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/24/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/24/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/24/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/24/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/25/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/26/13
Read Re: Math Wars Philosophizing in the NY Times
Wayne Bishop
6/26/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy
6/28/13
Read Re: Math Wars Philosophizing in the NY Times
GS Chandy

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