Byrne’s Euclidean Geometry Revisited with Geogebra
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This contribution reports on an ongoing teaching experiment based on Oliver Byrne’s edition of Euclid’s Elements in colors. Byrne’s idea was to present Euclid’s statements, constructions and even proofs with a simple and (in a certain sense) rigorous use of colors, as a way for synthesizing more explicit verbal descriptions and argumentations. In our experiment, developed in two classes of grade 10 students, Byrne’s idea is combined with the use of a free dynamic geometry environment, Geogebra. Interactive Geogebra applets in Byrne’s style are created both by the teachers and by the students and used as a tool for exploration of properties and mathematical discussions; they are also used as a tool for making explicit students’ understanding and learning of Euclidean geometry.