Math Forum Internet News

Volume 3, Number 20

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18 May 1998                                   Vol. 3, No. 20

                 THE MATH FORUM INTERNET NEWS

  Aunty Math | Crystallography - Weber | Euclid's Elements


           AUNTY MATH - DuPage Children's Museum

           http://www.dcmrats.org/AuntyMath.html

An every-other-week math challenge for grades K-3 from 
"Aunty Math." Each challenge is presented in the form of a 
story taken from the life of Aunty Math, her two nephews 
Barney and Danny, and her niece Gina. 

Students with questions or suggestions can e-mail Aunty Math 
directly, and a Tips for the Current Challenge page provides
parents and teachers with suggestions for modifying or 
extending each problem:

http://www.dcmrats.org/tips.html

Students may also submit solutions and read what others
have written from Aunty Math's Solutions page:

http://www.dcmrats.org/wwwboard/solution.html

Strategies recommended for use by primary students include: 

    - drawing a picture 
    - manipulatives (objects such as buttons, beans, etc.) 
    - searching for a pattern 
    - acting it out 
    - guessing and checking ("trial and error") 
    - making a list, chart or graph 
    - visualizing in the mind  

  The first kindergarten teacher in Illinois to receive the 
  Presidential Award for Excellence in Mathematics Instruction, 
  "Aunt Mathilda" (Angela Giglio) Andrews was also honored by 
  the Illinois Council of Teachers of Mathematics with its 
  Excellence In Elementary Mathematics Teaching award. 
  

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               CRYSTALLOGRAPHY - Steffen Weber

                INTRODUCTION TO QUASICRYSTALS

            http://www.nirim.go.jp/~weber/qc.html

A short introduction to the field of quasicrystals, offering
some basic concepts in this relatively new branch of 
crystallography. The more advanced reader may proceed to 
other sites and sources on quasicrystals, listed and linked 
in the appendix.

This page is intended for those having no prior knowledge in
the field. It includes a glossary, and links to software sites
and other pages related to quasicrystals.

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             ANIMATED CRYSTALLOGRAPHIC POLYHEDRA

       http://www.nirim.go.jp/~weber/POLYHEDRA/p_00.html

Polyhedra, developed from a Java applet by John N. Huffman,
which can be rotated and resized by clicking and dragging
(on a Mac with a one-button mouse, hold down the Command
[Apple] key and drag to resize). 

Applets include everything from a buckyball, an icosahedron,
and a cube; to a diakisdodecahedron, hexagonal and tetragonal 
trapezohedra, trigonal pyramids (tetrahedra), and many more.

Born in East Germany, Steffen Weber is currently a Science 
and Technology Agency Fellow at the National Institute for 
Research in Inorganic Materials (NIRIM) in Tsukuba, Japan.

                http://www.nirim.go.jp/~weber/


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                 EUCLID'S ELEMENTS - David Joyce

 http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

"Euclid's Elements form one of the most beautiful and
 influential works of science in the history of humankind.
 Its beauty lies in its logical development of geometry and
 other branches of mathematics. It has influenced all branches
 of science but none so much as mathematics and the exact
 sciences. The Elements have been studied [for] 24 centuries
 in many languages starting, of course, in the original
 Greek, then in Arabic, Latin, and many modern languages."

 David Joyce created these Web pages to rekindle an interest
 in the Elements, and to show how Java applets can be used
 to illustrate geometry. The text of all 13 Books is complete,
 and all of the figures are illustrated using the "Geometry
 Applet," including those that are three-dimensional, found
 in the last three books on solid geometry. References to
 Euclid's Elements on the Web are included.

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    EUCLID'S GEOMETRY: HISTORY AND PRACTICE - Alex Pearson

       http://mathforum.org/geometry/wwweuclid/

A series of interdisciplinary lessons on Euclid's Elements, 
researched and written by Alex Pearson, a Classicist at 
The Episcopal Academy in Merion, Pennsylvania. 

The material is organized into class work, short historical 
articles, assignments, essay questions, and a quiz.


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          TAPPED IN  - MATHEMATICS with Dave Kershaw

                    http://www.tappedin.org/

  MONDAY, MAY 18 - 4:00 PM Pacific time; 7:00 PM in the East

     Wish you had a nickel for every time you've been asked
     where math is used in the real world? Let's find some
     answers - bring an example to share with the group.

  For questions about the discussions or using TAPPED IN, 
  contact Dave Kershaw (kersh@mathforum.org) or 
  Judi Fusco (fusco@tappedin.sri.com).


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