How the students chased perpendicular lines in GeoGebra Classroom

Lukáš Vízek (1) , Libuše Samková (2)

1 University of Hradec Králové
2 USB - University of South Bohemia in České Budějovice

This paper focuses on the issue of what solution strategies do secondary school students provide while performing non-standard geometric constructions. For this purpose, we developed an interactive electronic environment in GeoGebra Classroom and, in that environment, we let students construct perpendicular lines in multiple ways. We formulated the task for students so that it corresponded with their school geometry curriculum but in a non-standard open-ended way. Then we analyzed students' constructions qualitatively. Findings showed that the students were usually able to solve the task but just a few of them were able to generate multiple strategies. However, creative constructional approach appeared in data indicating the significance of the assignment or instruction where a variety of mathematical approaches are possible.

Mots clés: Dynamic geometry environments; multiple solution strategies; plane geometry; secondary school students

Domaines: Mathématiques [math]

Lukáš Vízek, Libuše Samková. How the students chased perpendicular lines in GeoGebra Classroom. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03748997⟩