What structure must the statement of a geomentry task have to promote a certain type of argument?

We propose the structure the statement of a task, to be solved with a Dynamic Geometry System (DGS), must have so that it promotes the production of a specific type of argument (inductive, abductive, or deductive) during the task solution process. To support the proposal, we analyzed solution strategies, produced by students of a plane geometry course of the preservice program for mathematics teachers at the Universidad Pedagógica Nacional (Colombia), when they address such tasks. Using the argument model proposed by Toulmin in the analysis, the types of main arguments raised by each type of statement were identified. We point out, using specific examples, how the type of task statement can contribute to the didactic-mathematical knowledge of the geometry teacher about different types of arguments and different types of tasks related to argumentation.

Molina, O., Samper, C., Vargas, C., Camargo, L., Perry, P., (2024). What structure must the statement of a geomentry task have to promote a certain type of argument?. [Ponencia]. ICMI Study 26 Advances in Geometry Education. Reims, Francia.