We face the question of an early approach to the functions, seen in the wider frame of the binary relationships, promoting the use of different registers of representation and their coordination. We trace the guidelines of one of our experimented didactical paths on this topic and we present the analysis of some excerpts of a classroom discussion where a problematic situation is modelled through the arrow, graphical and algebraic representations operating simultaneously with the direct and inverse functions. Finally we discuss about the roots of some difficulties met by the pupils and about some teacher’s behaviour.
Behaviour of 6th-grade students in front of a problematic situation aimed at approaching the concepts of function and inverse function, / Malara, Nicolina Antonia. - ELETTRONICO. - CD Room:(2006). ((Intervento presentato al convegno ICTM 3 tenutosi a Istambul nel 30 giugno - 5 luglio 2006.