Promoting the production of examples and conjectures in hybrid environments to elicit students' concept image and definition

In this paper, we aim to investigate the potential of a purposefully designed task proposed in a hybrid environment with Padlet and GeoGebra, to promote students’ production and sharing of personal concept definitions, conjectures, examples and the emergence of instances of students’ concept images. From the analysis of the students’ posts, we derived a complex intertwining between all these elements and a possible tension with the formal definition of diagonal. We also obtained a confirmation of the potentialities of the hybrid environment to favor the participation of all the students in rich exchanges on the mathematical task. We finally argue that the exchanges recorded by the Padlet provide a common basis for the teacher and the students to share and reflect upon during the subsequent classroom discussion