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Corbet, James J.; Milton, J. Susan – Mathematics Teacher, 1978
The idea of "complete permutations" of n distinct objects is explored in order to investigate an application of the concept that arises in Rex Stout's mystery novel, Too Many Cooks. (MN)
Descriptors: Discovery Learning, Instructional Materials, Mathematical Applications, Mathematics Education
Anderson, O. D. – International Journal of Mathematical Education, 1977
An example involving a hypothetical television commercial is offered as an indication of how instructors might start their material in teaching the principles and practice of statistical thinking. (MN)
Descriptors: College Mathematics, Higher Education, Illustrations, Instruction
Hirst, Helen – Mathematics Teaching, 1977
The aim of the author was to ascertain how well a Dutch approach to introducing probability into the elementary school curriculum could be attempted by English children. Classroom situations are described. (MN)
Descriptors: Course Descriptions, Curriculum, Educational Games, Elementary Education
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Weber, Margaret B. – Educational and Psychological Measurement, 1977
Bilevel dimensionality of probability was examined via factor analysis, Rasch latent trait analysis, and classical item analysis. Results suggest that when nonstandardized measures are the criteria for achievement, relying solely on estimates of content validity may lead to erroneous interpretation of test score data. (JKS)
Descriptors: Achievement, Achievement Tests, Factor Analysis, Item Analysis
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Wood, R.; Brown, M. – International Journal of Mathematical Education in Science and Technology, 1976
Questions concerning probability which appeared on the General Certificate of Education test are analyzed in terms of the processes required to answer them. The relationships between these processes and cognitive development are discussed. (SD)
Descriptors: Cognitive Development, Curriculum, International Education, Mathematical Concepts
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Hurford, James R. – Language, 1977
Addresses the problem of defining the notion "linguistically significant generalization." A rigorous objective method for determining the significance of a generalization, based on probability theory, is proposed. The proposal is illustrated by applying it to examples central to theorizing in generative grammar. (Author/KM)
Descriptors: Abstract Reasoning, Fundamental Concepts, Generalization, Generative Grammar
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Rennie, Robert R.; Villegas, C. – Journal of Multivariate Analysis, 1976
An asymptotic theory is developed for a new time series model introduced in TM 502 289. An algorithm for computing estimates of the parameters of this time series model is given, and it is shown that these estimators are asymptotically efficient in that they have the same asymptotic distribution as the maximum likelihood estimators. (Author/RC)
Descriptors: Algorithms, Analysis of Covariance, Mathematical Models, Matrices
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Raudenbush, Stephen W.; Bryk, Anthony S. – Journal of Educational Statistics, 1987
Statistical methods are presented for studying "correlates of diversity," defined as characteristics of educational organizations that predict dispersion on the dependent variable. Strategies based on exact distribution theory and asymptotic normal approximation are considered. (TJH)
Descriptors: Academic Achievement, Bayesian Statistics, Estimation (Mathematics), Mathematics Achievement
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Kimberling, Clark – Mathematics Teacher, 1986
A hypothetical classroom discussion is used to present concepts and problems students can master. Three computer programs are listed for binomial probabilities. (MNS)
Descriptors: College Mathematics, Computer Software, Higher Education, Mathematical Applications
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Westermann, Rainer; Hager, Willi – Journal of Educational Statistics, 1986
The well-known problem of cumulating error probabilities is reconsidered from a general epistemological perspective, namely, the concepts of severity and of fairness of tests. It is shown that not only Type 1 but also Type 2 errors can cumulate. A new adjustment strategy is proposed and applied. (Author/JAZ)
Descriptors: Educational Research, Error of Measurement, Hypothesis Testing, Measurement Techniques
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Walton, Karen Doyle – Journal of Computers in Mathematics and Science Teaching, 1986
Encourages the use of the microcomputer to teach probability theory and concepts. Presents an instructional sequence and provides 10 activities, three of which have short programs listed. (JM)
Descriptors: Computer Assisted Instruction, Computers, Courseware, Learning Activities
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
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Green, David – Mathematics in School, 1983
Concepts of probability held by pupils ages 11-16 were ascertained, in conjunction with a unit focusing on possible biases toward the number 6. (MNS)
Descriptors: Educational Research, Elementary School Mathematics, Elementary Secondary Education, Learning Activities
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Shaw, Jean M. – Arithmetic Teacher, 1984
Activities involving spinners and dice are presented. Making the materials is noted, followed by activities on counting, computation, probability, fractions, and other ideas. (MNS)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Fractions
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Poiani, Eileen L.; Protomastro, Gerard P. – Mathematics and Computer Education, 1985
The game of craps is analyzed in terms of mathematical expectation. Betting examples are presented and discussed, and a computer simulation program in BASIC is included. (MNS)
Descriptors: College Mathematics, Computer Software, Higher Education, Learning Activities
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