Resumen de A case study on students’ approach to Euclidean proof in the rationality perspective

Paolo Boero , Fiorenza Turiano

• A Rational Mathematical Template (RMT) is the couple consisting of a mathematical entity (definition, proof, etc.) and a rational (according to Habermas) process aimed at producing an instance of that entity. In this report we develop research on RMTs by a teaching experiment on the RMT of proof in two 10th grade classes. The design of the teaching experiment and the analysis of one student’s productions were occasions to focus on the relationships between the rational process and its product and on the role of awareness as condition for the mediating role of RMTs in the classroom.