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

In: Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics

Author

Listed:
  • Carmen Batanero

    (University of Granada, Facultad de Ciencias de la Educación, Campus de Cartuja)

  • J. Miguel Contreras

    (University of Granada, Facultad de Ciencias de la Educación, Campus de Cartuja)

  • Carmen Díaz

    (University of Huelva, Facultad de Ciencias de la Educación)

  • Gustavo R. Cañadas

    (University of Granada, Facultad de Ciencias de la Educación, Campus de Cartuja)

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.

Suggested Citation

  • Carmen Batanero & J. Miguel Contreras & Carmen Díaz & Gustavo R. Cañadas, 2014. "Preparing teachers to teach conditional probability: a didactic situation based on the Monty Hall problem," Springer Books, in: Thomas Wassong & Daniel Frischemeier & Pascal R. Fischer & Reinhard Hochmuth & Peter Bender (ed.), Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics, edition 127, chapter 0, pages 363-376, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-03104-6_26
    DOI: 10.1007/978-3-658-03104-6_26
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