Welcome

Contact us (including about obtaining the triangles): morga084@gmail.com

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The triangles are made of 1 meter edge length equilateral triangles that are rigid and lightweight with brightly colored ripstop nylon or clear mylar faces. They join by laces along the edges allowing flexible hinging to give any angle between the faces from zero to 360 degrees.

Classroom activities generally involve students making shapes themselves, with a small number of triangles to start, using trial and error and discovery as they build in teams. Like with a puzzle, they are not given fixed procedural instructions as to what to fix where. They learn from the experience of building as a collaborative problem solving activity which develops their awareness of geometric features. They also experience shapes, and can examine their properties, from both the inside and the outside.

Additionally, here are some photos of some special shapes we built at the Bridges conference on Mathematics, Music, Art, Architecture, Culture:

http://bridgesmathart.org/carlo-mirror/BRIDGES99/PolyBarn3.jpg

Building and seeing a shape from the inside!http://torus.math.uiuc.edu/jms/Photos/MathArt/Br2k/triangles/br2ktriE.jpegA flexagon with a color pattern!


Themes such as symmetry, counting faces, edges and vertices and scaling of lengths, areas and volumes have been developed into guided discovery lessons. These are illustrated in the following papers.

Papers that show the use of the triangles for a range of mathematics topics in schools and in mathematics teacher training:

For a general audience of mathematics educators with classroom activities: Link to paper for Bridges Art and Mathematics conference 2010

Research report about mathematics teacher education: Link to paper for PME 2011 (Psychology of Mathematics Education)

A write up of a math teacher society event by participants: A branch meeting in Avon - Kathryn Vaughan and Alf Coles