Guidlines for Projects
Check the information on
the next page .
Areas and resources .
One project on the geometry of Origami was presented in December. Core resources for people who want more information are:
- Robert Geretschlager: Euclidean Constructions and the Geometry of Origami, Mathematics Magazine 68 (1995);
- Michael Serra: Patty Paper Geometry, Key Curriculum Press, 1944.
- A web site Joseph Wu's Origami Page which has information on history, instructions, photos, etc.
- Another web site: http:/www.planetj.com.origami/origami.html (I have not yet gotten this to work but ... ),
Other topics which are now being investigated:
- polyhedra: with connections to duality, generation etc.
Here is a web site of tesselation pages at the
Math Forum.
- symmetry in music (composers of modern music ... )
- symmetry in architecture, design, nature .... One web resource is the pages of
Goodman-Strauss .
- central place theory (an geometric pattern in the location of towns, villages, etc. studied in geography);
- the geometry of string patterns and envelopes of curves;
- a Java based drawing program for spherical geometry;
- knot theory. This presentation was offered in the form
of a set of very nice
web pages.
Here are some of the other web resources located:
a Knot Theory Primer and Knots on the Web.
- the ruler and compass constructions of regular polygons ... ;
- Pick's theorem for areas of polygons and its relatives;
- Proof without words: when can combinatorial and algebraic
theorems be 'proven' using a basic geometric diagram without
much additional text or algebra. [Typically, the only additional feature is to 'recognize' that the sum of the areas of dijoint pieces
is the area of the union of the pieces.]
- spherical geometry in high school teaching: how and why?;
- the geometry of binocular vision.
Here is an interesting web
site
- fractals, with a series of web site as auxiliary
resources:
Fast Furious
Fractals ,
fractals
,
the Fractory,
fun with fractals
,
chaos game
- the real and desired role of geometry in junior intermediate
mathematics teaching. Related to this is the issue of
the van Hiele model of geometry teaching. A second resource is the
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