Interlacing Mathematics and Art: Hands-on Non-Euclidean Geometry
Andreia Hall, Isabel Brás, and Sónia Pais

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 231–238
Regular Papers

Abstract

Elliot Eisner (1933-2014), a pioneer in arts education, suggested that an artistic approach to education could improve its quality and lead to a new vision for teaching and learning. This is true for any subject, including mathematics. Geometry related topics make a perfect setting for a deeper contribution of art to education. One such topic is the study of non-Euclidean geometry. In this paper, we present some results of a professional development course for mathematics teachers where the participants studied non-Euclidean geometry concepts. The participants created ceramic pieces using the Poincaré disk and styrofoam balls covered with fabrics using spherical geometry.

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