The complexity of proving and the relationship between argumentation and proof are subjects of major concern in Mathematics Education. In this Research Forum we will propose the integration of Toulmin's model of argumentation with Habermas' elaboration of rational behavior, both adapted to proof and proving. After a short presentation of Toulmin's and Habermas' tools at work, we will provide some theoretical reasons for their integration. Then we will show how this construct allows us to frame the planning, management and analysis of some classroom activities aimed at students' approach to relevant aspects of proving and proof Finally, we will suggest some further developments. A reaction by Carmen Samper and her colleagues (related to their own research work) will introduce the discussion.
ARGUMENTATION AND PROOF: A CONTRIBUTION TO THEORETICAL PERSPECTIVES AND THEIR CLASSROOM IMPLEMENTATION
Boero, P;Morselli, F;
2010-01-01
Abstract
The complexity of proving and the relationship between argumentation and proof are subjects of major concern in Mathematics Education. In this Research Forum we will propose the integration of Toulmin's model of argumentation with Habermas' elaboration of rational behavior, both adapted to proof and proving. After a short presentation of Toulmin's and Habermas' tools at work, we will provide some theoretical reasons for their integration. Then we will show how this construct allows us to frame the planning, management and analysis of some classroom activities aimed at students' approach to relevant aspects of proving and proof Finally, we will suggest some further developments. A reaction by Carmen Samper and her colleagues (related to their own research work) will introduce the discussion.
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