QuaderniCIRD n. 19 (2019)
Rivista del Centro Interdipartimentale per la
Ricerca Didattica dell'Università di Trieste Journal of the Interdepartmental Center for
Educational Research of the University of Trieste
Direttore responsabile: Luciana Zuccheri
Comitato editoriale: Silvia Battistella Furio Finocchiaro Helena Lozano Miralles Tiziana Piras Paolo Sorzio Michele Stoppa Verena Zudini
Quoting Felix Klein and Efraim Fischbein we underline the diﬃculties of introducing the teaching of probability at any level. We then compare two alternatives: we can either study ﬁrst descriptive statistics, so the ﬁrst steps in probability can be motivated by suggestive examples (as proposed by Carla Rossi) or we can begin with simple problems from classical probability approach (as proposed by Giovanni Prodi). Following this second suggestion, the basic concepts of probability are introduced through the correspondence between Fermat and Pascal. We also discuss d’Alembert’s mistake, introduce the notions of conditional probability and independence, analyse Weaver’s three-cards-game and an experiment by Ruma Falk. Finally we discuss some delicate aspects of independence.