Do the Angles of a Triangle Add up to 180°? - Introducing Non-Euclidean Geometry

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Abstract

How can we convince students, who have mainly learned to follow given mathematical rules, that mathematics can also be fascinating, creative, and beautiful? In this paper I discuss different ways of introducing non-Euclidean geometry to students and the general public using different physical models, including chalksphere, crocheted hyperbolic surfaces, curved folding, and polygon tilings. Spherical geometry offers a simple yet surprising introduction to the topic, whereas hyperbolic geometry is an entirely new and exciting concept to most. Non-Euclidean geometry demonstrates how crafts and art can be used to make complex mathematical concepts more accessible, and how mathematics itself can be beautiful, not just useful.
Original languageEnglish
Pages285–288
Number of pages4
Publication statusPublished - 2021
EventBridges 2021 -
Duration: 2 Aug 20213 Aug 2021
https://www.bridgesmathart.org/b2021/

Conference

ConferenceBridges 2021
Period2/08/213/08/21
Internet address

Keywords

  • Mathematics education
  • hyperbolic surfaces
  • Non-Euclidean Geometry

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