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Newsletter: Math Forum Internet News No. 5.9 (28 Feb 2000)
Posted:
Feb 25, 2000 11:03 AM


28 February 2000 Vol. 5, No. 9
THE MATH FORUM INTERNET NEWS
Optical Illusions  SandlotScience  Fair Division Calculator Teaching/Learning Decimals
OPTICAL ILLUSIONS  SandlotScience
http://www.sandlotscience.com/ http://www.lainet.com/~ausbourn/
Interactive Java applets and multimedia explorations of optical effects, with animations, art work, stories, and more. Contents include:  Impossible Objects, including columns, an endless staircase, animated stairs, Java triangle models, an interlaced tribar, an impossible hexnut, and more  Distortion illusions of "breathing" objects, a cafe wall, Fraze's Spiral, Poggendorf's Illusion, a twisted cord, and others  Contrast and Color: illusions driven by the way we see  Typography: distortion and ambiguity  Games and Puzzles: Javaflavored diversions  Ambiguous Figures that appear as one thing, then another  don't miss the "3in1 Animation" of the Missing Corner Cube  AfterEffect Illusions: what keeps our eyes going after we stop looking  Camouflage: the art of blending into a similar background  Moire Patterns: when two transparent patterns overlap  Giants of Illusions: examples from the work of Jerry Andrus, M. C. Escher, and Sandro del Prete
The site also offers a selection of recommended books, science toys, kits, and projects; PDFformatted projects; and links to more optical illusion Web sites.
http://www.sandlotscience.com/links.htm http://www.lainet.com/~ausbourn/links.htm
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FAIR DIVISION CALCULATOR  Francis Su
http://www.math.hmc.edu/~su/fairdivision/calc/
An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable).
See also Su's Fair Division page, with links to an explanation of "fair division," to exact vs. approximate algorithms, to Su's papers, and to other references on the subject.
http://www.math.hmc.edu/~su/fairdivision/
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TEACHING AND LEARNING ABOUT DECIMALS Stacey, Chambers, Asp, Scott, Steinle University of Melbourne, Australia
http://online.edfac.unimelb.edu.au/485129/DecProj/index.htm
A resource for teachers that explains the mathematical, psychological, and pedagogical ideas needed to teach students to work confidently with decimal numbers.
Contents include:
 Background: main ideas, what learners find hard  Case Studies: video interviews and tests with six people who demonstrate different, but common, wrong ideas  Teaching: survey of approaches, tests, ideas for lessons, educational software to download  Glossary: definitions and examples of technical terms
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The Math Forum ** 28 February 2000
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