From MathWiki

Table of contents

1 General Links

Big Ideas

Here is a page (under construction) which is gathering and exploring some reflecions on 'big ideas' in geometry / geometry for teaching: Big Ideas in Geometry: procedures, concepts, patterns

I (Walter welcome suggestions / alternatives / expansions. I hope to develop additional linked pages for each of the big ideas that emerges.

A companion page on Geometry for Teaching will also be developed.

General Links

Some interesting geometry web sites:

An annotated bibliography of related to Geometry:

Information and papers from the ICME Topic Study Group 16: Visualisation in the teaching and learning of mathematics can be found at:

Geometers Sketchpad Users Group activities:

One activity (by Walter Whiteley and Lily Moshe) we may follow up is at the bottom of the page: with a sketch, a lab sheet and instructors notes.

An on-line book on symmetry is: Slavik V. Jablan "Theory of Symmetry and Ornament":

Math Forum site on Symmetry/Tessellations:

George Hart's pages on polyhedra, with instructions to build some of the objects:

A web site with links related to the recent Biography of Donald Coxeter:

Creative Geometry: some activities - including hands on activities - from a teacher, mounted on the Math Forum website.

Symmetry in Physics

Symmetry is central to modern geometry and more generally to modern science.

Teaching symmetry in introductory physics and mathematics courses: Here is a catchy phrase: The answer to the question "Why teach symmetry?" is simply an equation: Physics = Symmetry = Beauty.

Underlying this is Noether's Principle:'s_theorem See also the pdf papers to download at: and An associated web site with a one week module for teaching symmetry and physics in high school is found at:

In general Symmetry is crucial to Modern Physics. Here is one link: For an introductory paper by Francois Giere: About Symmetries in Physics: Here is another link (higher level):

One other physics/geometry principle is Cure's Principle: that the symmetry of the input of a physical situation should appear as symmetry of the output. See Ian Stewart + Martin Golubitsky: Fearful Symmetry: Is God a Geometer? Penguin 1992

Symmetry in Biology

Symmetry in Biology:

T. L. Blundell: Symmetry, Stability and Motion in Molecular Biology and in the Visual Arts Leonardo, Vol. 14, No. 4 (Autumn, 1981), pp. 311-313

Links Back

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