Four level model for arguing
The competence based four levels
Based on the forgoing our model includes 4 levels. All levels can occur in a specific field of arguing. And all levels can be visited in one particular grade or even across grades.
Level 1 – Disposition
At this level students should have the disposition to engage in mathematical tasks that demand simple reasoning.
Level 2 – Comprehension
At this level students should have the ability to understand, comprehend and explain prescribed reasons. An important aspect in this context is to identify the frame of reference.
Level 3 – Communication
At this level students should have the ability to explain and argue completed mathematical proofs in communication situations.
Level 4 – Autonomy
At this level students should autonomously find a reason for a (mathematical) statement / conjecture and / or an argument for this, including the choice of the frame of reference.
The competence based four level model
Süss-Stepancik & Götz 2015
Four steps on the way to create argumentation competence supported by technology. Proceedings of CERME9