Browse > Article

http://dx.doi.org/10.14477/jhm.2014.27.3.211
###

Students' Understanding and Application of Monty Hall Dilemma in Classroom |

Park, Jung Sook (Taerung High School) |

Publication Information

Abstract

Although Monty Hall dilemma is used in many areas including philosophy, economics, and psychology, it is used in the current mathematics textbooks only as a material for reading or one of probability questions. The present study tries to explore students' understanding of Monty Hall dilemma through a class case. In this study, a group of high-school students participated in group activities, in which they read an argument about Monty Hall dilemma, and tried to resolve it through small-group and whole-class discussions, and then studied the conditional probability. The analysis supports the studies in psychology that intuitive understandings on probability do not change easily, and that counter-intuitivity in Monty Hall dilemma induces confusion and offers a basis for discussions among students. Similar results are anticipated when other dilemmas on probability are used.

Keywords

Monty Hall dilemma; intuition;

Citations & Related Records

Times Cited By KSCI :
1 (Citation Analysis)

- Reference
- Cited By KSCI

1 | J. Rosenhouse, The Monty Hall problem, New York: Oxford University Press, 2009. |

2 | T. Slembeck, J. R. Tyran, Do institutions promote rationality? An experimental study of the three doors anomaly, Journal of Economic Behavior & Organization 54 (2004), 337-350. DOI ScienceOn |

3 | Song H. S., On the two Envelope-Paradox, Logic Research 6(1) (2003), 1-18. 송하석, 두 봉투의 역설에 대하여, 논리연구 6(1) (2003), 1-18. |

4 | D. Friedman, Monty Hall's three doors: construction and deconstruction of a choice anomaly, American Economic Review 88 (1998), 933-946. |

5 | H. Bailey, Monty Hall uses a mixed strategy, Mathematics Magazine 73(2) (2000), 135-141. DOI |

6 | Cho C. M, Park J. Y., Kang S. J., A Study on Geometrical Probability Instruction through Analysis of Bertrand's Paradox, School Mathematics 10(2) (2008), 181-197. 조차미, 박종률, 강순자, Bertrand's paradox의 분석을 통한 기하학적 확률에 관한 연구, 대한수학교육학회지<학교수학> 10(2) (2008), 181-197. |

7 | E. Fischbein, The intuitive sources of probabilistic thinking in children, Reidel, Holanda, 1975. |

8 | R. D. Gill, The Monty Hall problem is not a probability puzzle, Statistica Neerlandica 65(1) (2011), 58-71. DOI ScienceOn |

9 | P. Gorroochurn, Classic problems of probability, New Jersey: Wiley, 2012. |

10 | D. Granberg, T. Brown, (1995). The Monty Hall dilemma, Personality and Social Psychology Bulletin 21(7) (1995), 711-723. DOI ScienceOn |

11 | D. Granberg, N. Dorr, Further exploration of two-stage decision making in the Monty Hall dilemma, American Journal of Psychology 111(4) (1998), 561-579. DOI |

12 | Kim W. K. et al, Probability and Statistics, Seoul : Visang Education, 2014. 김원경 외, 확률과 통계, 서울 : 비상교육, 2014. |

13 | Lee J. H., Historic Paradoxes of Probability and Statistics Usable in School Mathematics, The Korean Journal for History of Mathematics 24(4) (2011), 119-141. 이종학, 학교 수학에 활용 가능한 확률.통계 영역에서의 역사적 패러독스, 한국수학사학회지 24(4) (2011), 119-141. 과학기술학회마을 |

14 | Lee J. Y., Lee K. H., A Case Study of Creativity Development Using Simpson's Paradox for Mathematically Gifted Students, The Journal of Educational Research in Mathematics 20(3) (2010), 203-219. 이정연, 이경화, Simpson의 패러독스를 활용한 영재교육에서 창의성 발현사례 분석, 대한수학교육학회지 <수학교육학연구> 20(3) (2010), 203-219. |

15 | Lee K. H., Study on the Didactic Transposition of the Concept of Probability, Unpublished doctoral dissertation of Seoul University, 1996. 이경화, 확률개념의 교수학적 변환에 관한 연구, 서울대학교 박사학위 논문, 1996. |

16 | S. Lucas, J. Rosenhouse, A. Schepler, The Monty Hall problem, reconsidered, Mathematics Magazine 82(5) (2009), 332-342. DOI |

17 | J. P. Morgan, N. R. Chaganty, R. C. Dahiya, M. J. Doviak, Let's make a deal: The player's dilemma, The American Statistician 45(4) (1991), 284-287. |

18 | Whang S. W. et al, Probability and Statistics, Seoul : Sinsago, 2014. 황선욱 외, 확률과 통계, 서울 : 신사고, 2014. |

19 | A. Morone, A. Fiore, Monty Hall's Three Doors for Dummies, Theory and Decision Library Series 42 (2008), 151-162. DOI |

20 | J. Sprenger, Probability, rational single-case decisions and the Monty Hall problem, Synthese 174 (2010), 331-340. DOI |