Open AccessHyperbolic geometry in general education: comprehending the incomprehensible
Author(s) -
István Lénárt
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1946/1/012005
Subject(s) - hyperbolic geometry , subject (documents) , geometry , differential geometry , syllabus , mathematics education , icon , plane (geometry) , analytic geometry , foundations of geometry , solid geometry , mathematics , computer science , projective geometry , library science , programming language
This paper is a self-independent continuation of my article on Comparative geometry between the plane and the sphere that was presented at the previous edition of ICon-MaSTEd Conference 2020. Below I discuss the possibility of adding a third geometry to the plane and the sphere, namely, the hyperbolic geometry on the hemisphere. I describe my own path to the subject, then the content of the syllabus which contains basic concepts of hyperbolic geometry for future preschool, elementary school, and secondary school teachers. Finally, I give reasons to introduce the subject into primary and secondary schools, not just for the “talented” but also for the “average” students.