Preparing teachers to teach conditional probability: a didactic situation based on the Monty Hall problem

Abstract

In this paper we reflect on the need for a better preparation of teachers to teach conditional probability, a topic in which a wide variety of misconceptions have been described. We also suggest a way to organize didactical situations that serves to improve the teachers’ mathematical and pedagogical knowledge related to this topic. As an example, we analyze an activity based on the Monty Hall problem, for which there is a wide availability of Internet simulators and resources. We describe the mathematical objects underlying the correct solutions and common incorrect solution approaches. We conclude by analyzing the didactic suitability of this problem in the training of teachers.