6 September 1999 Vol. 4, No. 36
THE MATH FORUM INTERNET NEWS
Newton Basins - Joyce | TI-86 Graphics Calculator |
NCRTL - Michigan State
NEWTON BASINS - David Joyce
Newton basins are fractals - kinds of Julia sets. David
Joyce, of the Department of Mathematics and Computer Science
at Clark University, provides a description of Newton's
method for finding solutions to equations, and an interactive
Newton Basin generator.
Newton's method leads to some fantastic images when applied
to complex functions. This program colors the complex plane
according to where an initial guess will eventually take you,
and gives each solution a different color so that all the
initial guesses that eventually lead you to that solution
are colored the same. A Newton basin is just a set of
initial guesses that leads to one solution.
The site includes background on Newton's method, some
examples for a quick idea of the possibilities, and a form
that allows you to generate Newton basins for polynomials.
THE HIGH SCHOOL STUDENT'S GUIDE TO PROGRAMMING
THE TI-86 GRAPHICS CALCULATOR
Jim Bowen, Stillwater H.S., Stillwater, OK
A site "dedicated to the premise that one of the defining
characteristics of mathematics education during the early part
of the 21st century will be the full integration of
programming throughout the high school mathematics curriculum
as an accepted and fundamental problem-solving technique."
Lessons and subject-oriented projects take students
step-by-step through programming lessons such as:
- for loop
- while and repeat loop
- functions and graphs
- draw menu lessons
- miscellaneous special instructions.
Project Menus are available for algebra, trigonometry,
calculus, and miscellaneous projects (e.g. write a program
that will simulate flipping a coin and display the results).
NATIONAL CENTER FOR RESEARCH ON TEACHER LEARNING (NCRTL)
College of Education, Michigan State University
NCRTL brochures and publications - special reports, craft
papers, research reports, technical series, issue papers,
conference series, and video packages - include articles
and essays such as:
"Developing Mathematics Reform: What Don't We Know About
Teacher Learning - But Would Make Good Working Hypotheses?"
"Beyond Exhortations Not to Tell: The Teacher's Role in
Discussion-Intensive Mathematics Classes"
"Halves, pieces, and twoths: Constructing representational
contexts in teaching fractions"
"Knowing the subject and learning to teach it: Examining
assumptions about becoming a mathematics teacher"
"Research on teaching mathematics: Making subject matter
knowledge part of the equation"
"Unlearning to teach mathematics"
"Using hypermedia technology to support a new pedagogy of
All publications are in PDF format, and a link to the free
PDF Acrobat Reader is provided.
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