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.[br][br][size=150][b]Level 1 – Disposition[/b][br]At this level students should have the disposition to engage in mathematical tasks that demand simple reasoning.[br][br][b]Level 2 – Comprehension[/b][br]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. [br][br][b]Level 3 – Communication[/b][br]At this level students should have the ability to explain and argue completed mathematical proofs in communication situations.[br][br][b]Level 4 – Autonomy[/b][br]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.[/size]

[i]Four steps on the way to create argumentation competence supported by technology[/i]. Proceedings of CERME9