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Topic: Learning and Mathematics: Papert, mathetics (repost)
Replies: 29   Last Post: Nov 19, 1995 4:46 PM

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Steve Means

Posts: 60
Registered: 12/3/04
Re: Learning and Mathematics: Papert, mathemaatics
Posted: Nov 13, 1995 6:38 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

<<<<<<<<<<<<<<<<<<<<---------------->>>>>>>>>>>>>>>>>

On Mon, 13 Nov 1995, katie laird wrote

The willingness to take up questions
> to which one does not have the answer takes bravery.

Four years ago, in an attempt to implement this goal, I began using
long-term student projects in which the students pick a subject they love
and investigate it mathematically. I am learning maths I never dreamed
of. So are my students. And I believe they are learning a great deal
about mathematics.

In Vol 14 No. 3 1995 of the Journal of Computers in Mathematics and
Science Teaching (page 325) there is an article by Sharon Dugdale, et al
on Technology and Curriculum Reform: Current Issues, Potential
Directions, and Research Questions. in it the authors try to "define"
algebra by considering it

"as a way of reasoning involving:

* Variables and functional relationships ...
*Generalization and modes of representation. This includes development
and use of formulas, translation of ideas to and from various
representations, and manipulation of thos representations. ... Prsent
applications of technology have enlarged the traditional focus to include
new emphasis on graphical representations and possibly others as well.

(my note: Geometric representations are easier to integrate into
traditional algebra through technology.)

*Mathematical investigation and argument. ... includes noting patterns,
making conjectures and refining reasoning.

This is an AACE publication

Steve Means
means@belnet.bellevue.k12.wa.us





Date Subject Author
11/3/95
Read Learning and Mathematics: Papert, mathetics (repost)
K. Ann Renninger
11/6/95
Read Re: Learning and Mathematics: Papert, mathetics
Problem of the Week
11/6/95
Read Re: Learning and Mathematics: Papert, mathetics
Tom Davis
11/7/95
Read Re: Learning and Mathematics: Papert, mathetics
Michael Keyton
11/7/95
Read Re: Learning and Mathematics: Papert, mathetics
Brian Hutchings
11/9/95
Read Re: Learning and Mathematics: Papert, mathetics
Ken Wood
11/9/95
Read Re: Learning and Mathematics: Papert, mathetics
Andrea Hall
11/9/95
Read Re: Learning and Mathematics: Papert, mathetics
Katie Laird
11/9/95
Read Re: Learning and Mathematics: Papert, mathetics
Katie Laird
11/10/95
Read Re: Learning and Mathematics: Papert, mathetics
Steve Means
11/10/95
Read Re: Learning and Mathematics: Papert, mathetics
Steve Means
11/10/95
Read Re: Learning and Mathematics: Papert, mathetics
Andrea Hall
11/10/95
Read Re: Learning and Mathematics: Papert, mathetics
Jim LaCasse
11/10/95
Read Re: Learning and Mathematics: Papert, mathetics
Steve Means
11/11/95
Read Re: Learning and Mathematics: Papert, mathetics
Andrea Hall
11/11/95
Read Re: Learning and Mathematics: Papert, mathetics
Steve Means
11/11/95
Read Re: Learning and Mathematics: Papert, mathetics
John Burnette
11/12/95
Read Re: Learning and Mathematics: Papert, mathetics
Lou Talman
11/13/95
Read Re: Learning and Mathematics: Papert, mathetics
Tarin Bross
11/13/95
Read Re: Learning and Mathematics: Papert, mathetics
Katie Laird
11/13/95
Read Re: Learning and Mathematics: Papert, mathemaatics
Steve Means
11/13/95
Read Re: Learning and Mathematics: Papert, mathetics
Kristina Lasher
11/14/95
Read Re: Learning and Mathematics: Papert, mathetics
David Weksler
11/14/95
Read Re: Learning and Mathematics: Papert, mathetics
Jane Ehrenfeld
11/15/95
Read Re: Learning and Mathematics: Papert, mathetics
Andrea Hall
11/16/95
Read Re: Learning and Mathematics: Papert,...
Robin J Healey
11/16/95
Read Re: Learning and Mathematics: Papert,...
Pat Ballew
11/17/95
Read Re: Learning and Mathematics: Papert, mathetics
Johnny Hamilton
11/17/95
Read Re: Learning and Mathematics: Papert, mathetics
Steve Means
11/19/95
Read Re: Learning and Mathematics: Papert, mathematics
Tarin Bross

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