Contact information and References for Monty's
Dilemma
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Dilemma page | Play
the game
The simulation is written by George Reese.
It was the tool used for a study by Jesse "Jay"
Wilkins and George Reese.
The pedagogical persuasiveness of simulation in situations of
uncertainty, Proceedings of the
Twentieth Annual Meeting North American Chapter of the
International Group for the Psychology of Mathematics Education,
November 1998. Wilkins, J. L. M. & Reese, G. C. (1998). Vol.
1, (p. 411).
In the study we examined the effectiveness of this computer
simulation in changing students' decision-making in conditions of
uncertainty. For a copy of the paper contact Jay Wilkins at wilkins@vt.edu.
The Monty's Dilemma problem has been the
subject of many articles. Here are a few.
- Engel, E., & Venetoulias, A. (1991). Monty Hall's
probability puzzle. Chance, 4(Spring), 6-9.
- Morgan, J. P., Chaganty, N.
R., Dahiya, R. C., & Doviak, M. J. (1991). Let's make
a deal: The player's dilemma. The American
Statistician, 45(4), 284-287.
- Shaughnessy, M. J., & Dick, T. (1991). Monty's
dilemma: Should you stick or switch? Mathematics
Teacher, 85(April), 252-256.
In addition, here are some references for the probability
underlying the problem.
- Konold, C. (1994). Teaching
probability through modeling real-world problems. Mathematics
Teacher, 87(4), 233-235.
- Shaughnessy, M. J. (1991).
Misconceptions of probability: From systematic errors to
systematic experiments and decisions. In A. P. Shulte
& J. R. Smart (Eds.), Teaching statistics and
probability, 1981 yearbook of the National Council of
Teachers of Mathematics (pp. 90-100). Reston, VA:
NCTM.
- Travers, K. J. (1981). Using
Monte Carlo methods to teach probability and statistics.
In A. P. Shulte (Ed.), Teaching statistics and
probability (Vol. 1981 Yearbook, pp. 210-219).
Reston, Virginia: The National Council of Teachers of
Mathematics.
- Watkins, A. E. (1981). Monte
Carlo simulation: Probability the easy way. In A. P.
Shulte (Ed.), Teaching Statistics and Probability
(pp. 203-209). Reston, Virginia: The National Council of
Teachers of Mathematics.
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Dilemma page | Play
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