몬티홀 딜레마에 대한 학생들의 이해와 수업적용 = Students' Understanding and Application of Monty Hall Dilemma in Classroom

다국어 초록 (Multilingual 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.

참고문헌 (Reference)

1 김원경, "확률과통계" 비상교육 2014

2 황선욱, "확률과 통계" 신사고 2014

3 이경화, "확률 개념의 교수학적 변환에 관한 연구" 서울大學校 大學院 1996

4 이종학, "학교 수학에 활용 가능한 확률 · 통계 영역에서의 역사적 패러독스" 한국수학사학회 24 (24): 119-141, 2011

5 송하석, "두 봉투의 역설에 대하여" 한국논리학회 6 (6): 2003

6 E. Fischbein, "The intuitive sources of probabilistic thinking in children" Reidel 1975

7 S. Lucas, "The Monty Hall problem, reconsidered" 82 (82): 332-342, 2009

8 R. D. Gill, "The Monty Hall problem is not a probability puzzle" 65 (65): 58-71, 2011

9 J. Rosenhouse, "The Monty Hall problem" Oxford University Press 2009

10 D. Granberg, "The Monty Hall dilemma" 21 (21): 711-723, 1995

11 이정연, "Simpson의 패러독스를 활용한 영재교육에서 창의성 발현 사례 분석" 대한수학교육학회 20 (20): 203-219, 2010

12 J. Sprenger, "Probability, rational single-case decisions and the Monty Hall problem" 174 : 331-340, 2010

13 D. Friedman, "Monty Hall’s three doors: construction and deconstruction of a choice anomaly" 88 : 933-946, 1998

14 A. Morone, "Monty Hall’s Three Doors for Dummies" 42 : 151-162, 2008

15 H. Bailey, "Monty Hall uses a mixed strategy" 73 (73): 135-141, 2000

16 J. P. Morgan, "Let’s make a deal: The player’s dilemma" 45 (45): 284-287, 1991

17 D. Granberg, "Further exploration of two-stage decision making in the Monty Hall dilemma" 111 (111): 561-579, 1998

18 T. Slembeck, "Do institutions promote rationality? An experimental study of the three doors anomaly" 54 : 337-350, 2004

19 P. Gorroochurn, "Classic problems of probability" Wiley 2012

20 조차미, "Bertrand＇s paradox 의 분석을 통한 기하학적 확률에 관한 연구" 대한수학교육학회 10 (10): 181-197, 2008