Gary A. Harris Department of Mathematics and Statistics Texas Tech University
Lubbock, TX Phone: (806) 7422566 FAX: (806) 7421112 EMail: g.harris@ttu.edu .
We propose to present a workshop based on the materials developed by the
presenter and used in the technologybased capstone mathematics course taught at Texas Tech
University for prospective middle school mathematics teachers. The full set of materials are
available at www.k12prep.math.ttu.edu/technology/gharris1/gharris1.html . A report on the
initial use of them in the above mentioned course appears in The Electronic Proceedings of the
Eight International Conference on Technology in Collegiate Mathematics,
http://archives.math.utk.edu/ICTCM/EP8.html#C87 . The courses has been taught
subsequently three times by the presenter and one time each by four of his colleagues.
The workshop will take place in the PC lab where the participants will be introduced to
the use of graphing calculators and computer algebra systems as vehicles for reviewing and
reinforcing student understanding of fundamental mathematical concepts. In particular,
participants will matriculate through sets of exercises chosen from the above materials involving
topics from elementary number theory, algebra, analytic geometry, and calculus. In the process
the participants will observe how different aspects of the two technologies can be exploited to
achieve the goals of reviewing and reinforcing the related mathematics.
The particular “platforms” used in the workshop will be TI86 calculators and the
computer algebra system MAPLE. However the participants will need no prior experience with
either. They will be expected, with minimal instruction but as much assistance form the presenter
as necessary, to use the menus from the calculator and the online help features of the computer
algebra system to complete the exercises. Of course the key to being able to do this is being
familiar with the mathematical concepts and symbolism. Thus the participants should be, or at
least one time have been, familiar with basic concepts from the above mentioned topics.
The workshop will conclude with an informal discussion on the potential effects of such
technologies on mathematics education in elementary school, as well as on the mathematics
preparation of future teachers at the college level. For example participants will be asked to
respond to the following question: “Should students still be required to memorize the quadratic
formula?” Finally, participants will be provided with copies of the reading list used for the course
taught at Texas Tech University.
http://www.k12prep.math.ttu.edu/technology/gharris1/workbook.html
Schedule: Ayres 322 June 1 3:305:30
