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Three-dimensional theorems for schools

Published online by Cambridge University Press:  24 July 2023

Christopher Zeeman
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Geometry is gradually coming back into the school syllabus, but so far only 2-dimensional geometry. I would like to make a case for including some 3-dimensional geometry as well, because the latter is vital for describing the world throughout science, engineering and architecture. Higher-dimensional geometry also comprises a major part of modern research within mathematics itself. Also 3-dimensional geometry fosters both our intuitive understanding and our geometric imagination. It teaches us to see things in the round. It also trains us to see all sides of an argument simultaneously, as opposed to algebra and computing which emphasise thinking sequentially.

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Research Article
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The Mathematical Gazette , Volume 89 , Issue S1: Three-dimensional theorems for schools , March 2005, pp. 1 - 92
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Copyright © The Mathematical Association 2005

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