Abstract

Symmetry: Culture and Science
Volume 33, Number 3, pages 233-247 (2022)
https://doi.org/10.26830/symmetry_2022_3_233

POTENTIAL OF TECHNOLOGY TO DEEPEN UNDERSTANDING OF THE HIDDEN COMPLEXITY OF THE GOLDEN RATIO – FROM INVESTIGATIONS WITH POLYGONS TO GENERALIZED GOLDEN RECTANGLES

Sergei Abramovich^1*, Viktor Freiman2²

¹ Department of Elementary Education, State University of New York, Potsdam, NY 13676, U.S.A.
Email: abramovs@potsdam.edu
Web: https://people.potsdam.edu/abramovs

² Faculté des sciences de l’éducation, Université de Moncton, Campus Moncton, Moncton, NB, Canada
Email: viktor.freiman@umoncton.ca
Web: https://www.umoncton.ca/prof/umcm-freiman_viktor

^* corresponding author

Abstract: An increasing role of mathematical experiments in the development of deeper understanding is still underestimated in the context of education. In this paper, we highlight a potential of technology, digital and physical to enrich students’ investigation of the Golden Ratio. Moving from construction and experimentation with ratios in polygons to exploration of Fibonacci-like sequences, learners can get an intuitive sense of hidden relationships prior to moving to formal ways of proving.

Keywords: Golden Ratio, Golden rectangle, Fibonacci sequence, computer experiments, technology, learning, mathematics education.

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