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Topic: Technology In Education
Replies: 107   Last Post: Jun 15, 2009 2:36 PM

 Messages: [ Previous | Next ]
 Bishop, Wayne Posts: 2,881 Registered: 12/6/04
Re: Technology In Education
Posted: Nov 26, 2007 12:05 AM

At 05:09 PM 11/23/2007, Richard Strausz wrote (to Haim):

>It is too bad you never tried Sketchpad with the one student you taught.

Why would that be? You still have not addressed the earlier request:

At 11:33 AM 11/20/2007, Richard Strausz wrote:

>Have you ever used the "Geometer's SketchPad?" I now use it in place
>of straight-edge and compass constructions. It gains me
>instructional time and more depth of understanding.

Can you give us an example is to two of concrete settings to
reinforce your position here? My impression is that it undermines
the whole idea of straightedge and compass; i.e., realization of the
axioms. Most explicitly, two points determine a line and a point and
at will. Is that really a savings of instructional time and does it
give more depth of understanding? What point has there ever been to
constructions with the Euclidean tools than to then prove that the
construction is valid?

As a concrete example at the simplest level, constructing a regular
hexagon inscribed in a circle (if the center, hence the radius, is
known) using the standard instruction is notoriously
inaccurate. Better to use a protractor if the goal is a good
hexagon, not the construction and why it is valid. Even bisecting an
angle, for that matter.

At a more sophisticated level, watching the angle bisectors determine
the incircle as a vertex of the triangle is dragged might lead to a
good conjecture but is there any point in making it if it is not then
to be proved? And that is really cheating, basically telling them
theorem, not some deep training in making conjectures. If you don't
believe me, just include the incircle, not the angle bisectors, as
you drag a vertex of the triangle. See how long it takes students to
make the desired conjecture. Don't measure this in minutes; try

Wayne

Date Subject Author
11/26/07 Bishop, Wayne
11/26/07 Richard Strausz
11/26/07 Bishop, Wayne
11/26/07 Michael Paul Goldenberg
11/26/07 Haim
11/26/07 Kirby Urner
11/26/07 Richard Strausz
11/26/07 Haim
11/26/07 Richard Strausz
11/26/07 Bishop, Wayne
11/26/07 Michael Paul Goldenberg
11/27/07 Bishop, Wayne
11/27/07 Michael Paul Goldenberg
11/26/07 Haim
11/27/07 Richard Strausz
11/27/07 Bishop, Wayne
11/27/07 Kirby Urner
11/27/07 Michael Paul Goldenberg
11/28/07 Richard Strausz
11/28/07 Richard Strausz
11/28/07 Bishop, Wayne
11/28/07 Richard Strausz
11/29/07 Michael Paul Goldenberg
11/30/07 Bishop, Wayne
11/28/07 Louis Talman
11/29/07 Michael Paul Goldenberg
11/28/07 Paul A. Tanner III
11/29/07 Michael Paul Goldenberg
11/29/07 Paul A. Tanner III
11/29/07 Michael Paul Goldenberg
11/29/07 Bishop, Wayne
11/30/07 Michael Paul Goldenberg
6/15/09 Louis Talman
6/15/09 Michael Paul Goldenberg
11/28/07 Haim
11/28/07 Louis Talman
11/28/07 Michael Paul Goldenberg
11/28/07 Bishop, Wayne
11/29/07 Michael Paul Goldenberg
11/29/07 Paul A. Tanner III
11/29/07 Michael Paul Goldenberg
11/29/07 Paul A. Tanner III
11/30/07 Michael Paul Goldenberg
11/28/07 Haim
11/29/07 Michael Paul Goldenberg
11/29/07 Haim
11/29/07 Haim
11/29/07 Michael Paul Goldenberg
11/29/07 Richard Strausz
11/30/07 Richard Strausz
11/30/07 Haim
11/30/07 Michael Paul Goldenberg
11/30/07 Haim
11/30/07 Michael Paul Goldenberg
11/30/07 Haim
12/1/07 Michael Paul Goldenberg
12/2/07 Richard Strausz
12/2/07 Bishop, Wayne
12/3/07 Michael Paul Goldenberg
12/3/07 beth.ritsema@wmich.edu
12/3/07 Haim
12/4/07 Ihor Charischak
12/3/07 GS Chandy
12/3/07 Haim
12/3/07 Michael Paul Goldenberg
12/3/07 Haim
12/3/07 Michael Paul Goldenberg
12/3/07 Richard Strausz
12/3/07 Michael Paul Goldenberg
12/3/07 Dave L. Renfro
12/3/07 Haim
12/3/07 Louis Talman
12/4/07 Haim
12/4/07 Louis Talman
12/4/07 Haim
12/4/07 Richard Strausz
12/4/07 Kirby Urner
12/4/07 Richard Strausz
12/4/07 Haim
12/5/07 Louis Talman
12/4/07 Haim
12/5/07 Kirby Urner
12/5/07 June Lester
12/5/07 Louis Talman
12/5/07 Bishop, Wayne
12/6/07 Michael Paul Goldenberg
12/5/07 Haim
12/5/07 Haim
12/5/07 Louis Talman
12/6/07 Michael Paul Goldenberg
12/6/07 Richard Strausz
12/6/07 Bishop, Wayne
12/6/07 Haim
12/6/07 June Lester
12/6/07 June Lester
12/6/07 Bishop, Wayne
12/6/07 Michael de Villiers
12/6/07 Michael de Villiers
12/8/07 Bishop, Wayne
12/7/07 Richard Strausz
12/7/07 Bishop, Wayne
12/9/07 Michael de Villiers
12/10/07 Paul A. Tanner III
12/11/07 Bishop, Wayne
12/10/07 Dave L. Renfro
12/14/07 Michael de Villiers
12/15/07 Michael de Villiers