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Direct linkMeacock, Susan – Teaching Statistics: An International Journal for Teachers, 2005
This article shows how consideration of seating arrangements in theatres can be used as a basis for constructing an interesting probability model.
Descriptors: Probability
Peer reviewedGreer, Brian – Educational Studies in Mathematics, 2001
Honors the contribution of Efraim Fischbein to the study and analysis of probabilistic thinking. Summarizes Fischbein's early work, then focuses on the role of intuition in mathematical and scientific thinking; the development of probabilistic thinking; and the influence of instruction on that development. (Author/MM)
Descriptors: Cognitive Processes, Elementary Secondary Education, Mathematics Education, Probability
Falk, Ruma; Konold, Clifford – Focus on Learning Problems in Mathematics, 1994
Discusses students' preconceptions of randomness and offers an alternative way to think about the concept using the idea of complexity. That is, the randomness of a sequence can be measured by the difficulty of encoding it. Methods of judging complexity and implications for teaching are discussed. (Contains 30 references.) (MKR)
Descriptors: Concept Formation, Mathematics Education, Mathematics Instruction, Misconceptions
Peer reviewedMorrison, Donald G.; Brockway, George – Psychometrika, 1979
A modified beta binomial model is presented for use in analyzing random guessing multiple choice tests and taste tests. Detection probabilities for each item are distributed beta across the population subjects. Properties for the observable distribution of correct responses are derived. Two concepts of true score estimates are presented.…
Descriptors: Bayesian Statistics, Guessing (Tests), Mathematical Models, Multiple Choice Tests
Peer reviewedWheeler, Kenneth G.; Mahoney, Thomas A. – Journal of Vocational Behavior, 1981
Explored differences between factors related to occupational preference and occupational choice for college students. Results supported the model indicating occupational preference was primarily a function of pure attraction; occupational choice was a function of attraction, expectancy of attaining an occupation, and consideration of expected…
Descriptors: Career Choice, College Students, Cost Effectiveness, Expectation
Lappan, Glenda; Winter, M. J. – Creative Computing, 1985
Presents four probability problems, their simulations, and analyses. The first illustrates a discrete situation for which it is possible to list the sample space. The second and third are continuous--the number of possible outcomes is infinite. The last is discrete with a surprising continuous extension question which leads to l/e. (JN)
Descriptors: College Mathematics, Computer Simulation, Computer Software, High Schools
Peer reviewedvan der Linden, Wim J. – Applied Psychological Measurement, 1979
The restrictions on item difficulties that must be met when binomial models are applied to domain-referenced testing are examined. Both a deterministic and a stochastic conception of item responses are discussed with respect to difficulty and Guttman-type items. (Author/BH)
Descriptors: Difficulty Level, Item Sampling, Latent Trait Theory, Mathematical Models
