A different perspective on teaching Geometry at high school: The Greek case study

TL;DR

This paper explores a unique perspective on high school geometry education through a Greek case study, emphasizing geometry's universal language and cultural significance to foster global understanding.

Contribution

It offers a novel cultural and philosophical perspective on teaching high school geometry, highlighting its universal nature and humanistic aspects.

Findings

Geometry as a universal language unites different cultures.

Geometric proofs and constructions are recognized globally.

Geometry fosters human connection across civilizations.

Abstract

Geometry is essentially a global language, which is fully understood in different times, countries and cultures. The proof of a geometric theorem (e.g. the Pythagorean Theorem) or a geometric construction (e.g. the construction of an equilateral triangle with straightedge and compass) is recognized in more or less the same way by everyone. This fact, in combination with other parameters, brings out a human face for geometric and mathematical achievements in general, thus allowing people and civilizations to come together.