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Topic: Getting students to take responsibility
Replies: 68   Last Post: Oct 23, 1995 11:39 AM

 Messages: [ Previous | Next ]
 Ted Alper Posts: 51 Registered: 12/6/04
Re: Getting students to take responsibility
Posted: Oct 10, 1995 5:01 PM

roitman@oberon.math.ukans.edu writes

>You've got to be kidding. A lot of numeric measures seem to be all wind.

>Anyway, mathematics is a lot more than numeric measures. For example the
>notion of a partial order would be very helpful (and humbling) in trying to
>compare things, and the notion of non-transitivity would be even more
>useful in certain situations.

As it happens, some of my research relates to partial orders and
generalized measurement (including measurement structures with
intransitivities). I'm most familiar with applications in utility
theory and risk assessment than statistical analysis, but, it's not
hard to come up with partially ordered measures of educational goals
that yield to statistical assessment. Heck, even the SAT, with its TWO
scores (Verbal, Math) yields a partial ordering -- if my math score is
higher, but your verbal score is, we are "incomparable". (I'm not
arguing for the SAT as the right measure, just pointing out that
there's nothing magical about partial orders -- ALL partial orders may
be represented as the "conjunction" of a collection of total orders.)

I agree that numbers and statistics can be created and used mindlessly
or falsely, but at least they present a solid target! Someone who
argues that it is impossible to measure any portion of the effects of
his/her proposals -- or that there's no need to measure because he/she
"feels it in his/her bones"! -- is certainly outside the realm of
emprirical science, accepting no evidence to the possibility he/she
might be wrong.

I also agree that math is about more than measurement. I hope I never
stated otherwise. But the remarkable utility of math in the
world is not limited to buying carpet or building bridges.

Ted Alper
alper@ockham.stanford.edu

Date Subject Author
10/4/95 TPANITZ@mecn.mass.edu
10/5/95 Peter J. Smith
10/5/95 Lutemann@aol.com
10/7/95 DanH150093@aol.com
10/7/95 Johnny Hamilton
10/7/95 DanH150093@aol.com
10/7/95 Lutemann@aol.com
10/7/95 Lutemann@aol.com
10/7/95 Andre TOOM
10/7/95 Michael Paul Goldenberg
10/7/95 Andre TOOM
10/7/95 DanH150093@aol.com
10/7/95 Michael Paul Goldenberg
10/9/95 Michael Paul Goldenberg
10/9/95 Lutemann@aol.com
10/10/95 Francis Fennell
10/10/95 Dr. William Tomhave
10/10/95 Bill Juraschek
10/9/95 Karen Dee Michalowicz
10/23/95 Abel R. Lastra
10/10/95 DanH150093@aol.com
10/10/95 roitman@oberon.math.ukans.edu
10/10/95 Bill Juraschek
10/10/95 roitman@oberon.math.ukans.edu
10/11/95 Virginia L. Keen
10/10/95 Karen Dee Michalowicz
10/10/95 Lutemann@aol.com
10/10/95 Lutemann@aol.com
10/10/95 Lutemann@aol.com
10/11/95 Michael Paul Goldenberg
10/9/95 Bill Juraschek
10/9/95 Michael Paul Goldenberg
10/10/95 DanH150093@aol.com
10/10/95 Ted Alper
10/10/95 roitman@oberon.math.ukans.edu
10/10/95 Ted Alper
10/10/95 Johnny Hamilton
10/10/95 DanH150093@aol.com
10/10/95 Lutemann@aol.com
10/10/95 Michael Paul Goldenberg
10/10/95 Michael Paul Goldenberg
10/10/95 DanH150093@aol.com
10/11/95 DanH150093@aol.com
10/11/95 Michael Paul Goldenberg
10/11/95 clarkcc@PLU.edu
10/11/95 Lutemann@aol.com
10/11/95 roitman@oberon.math.ukans.edu
10/11/95 Ted Alper
10/11/95 roitman@oberon.math.ukans.edu
10/11/95 roitman@oberon.math.ukans.edu
10/13/95 DanH150093@aol.com
10/13/95 DanH150093@aol.com
10/13/95 DanH150093@aol.com
10/13/95 Francis Fennell
10/13/95 roitman@oberon.math.ukans.edu
10/17/95 Howard L. Hansen
10/18/95 DanH150093@aol.com
10/18/95 Michael Paul Goldenberg
10/19/95 DanH150093@aol.com
10/19/95 W Gary Martin
10/19/95 M. Matras
10/20/95 DanH150093@aol.com
10/20/95 Janet V Smith
10/19/95 roitman@oberon.math.ukans.edu