Math Forum Internet News

Volume 4, Number 36

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6 September 1999                                  Vol. 4, No. 36


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: - input/output - if-then - 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 teacher education" All publications are in PDF format, and a link to the free PDF Acrobat Reader is provided. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum Ask Dr. Math Problems of the Week Mathematics Library Teacher2Teacher Discussion Groups Join the Math Forum Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \

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