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

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Bishop, Wayne

Posts: 2,033
Registered: 12/6/04
Re: Technology In Education
Posted: Nov 26, 2007 12:05 AM
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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
a radius determine a circle. Geometer's Sketchpad can trisect angles
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
years, or maybe decades.

Wayne


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

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