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Peer reviewedWilliams, Horace E. – Mathematics Teacher, 1971
Descriptors: Geometry, Mathematical Applications, Mathematical Enrichment, Mathematical Models
Peer reviewedBrumfiel, Charles – Arithmetic Teacher, 1970
Descriptors: Elementary School Mathematics, Fractions, Instruction, Mathematical Applications
Peer reviewedHarrison, H. L.; And Others – Science, 1970
Major consequences of present and additional environmental quantities of DDT pesticide are predictable by mathematical models of transport, accumulation and concentration mechanisms in the Wisconsin regional ecosystem. High solubility and stability produce increased DDT concentrations at high organism trophic levels within world biosphere…
Descriptors: Ecological Factors, Ecology, Environmental Influences, Environmental Research
Peer reviewedEngel, Arthur – Educational Studies in Mathematics, 1969
Descriptors: Computer Science, Graphs, Mathematical Applications, Mathematical Models
Peer reviewedCroke, E. J.; Roberts, J. J. – Bulletin of the Atomic Scientists, 1971
Describes a model of an air pollution control strategy, closely integrated with urban and regional planning, based upon attaching well defined emission rights to each parcel of land in a region. (AL)
Descriptors: Air Pollution, Environment, Land Use, Mathematical Models
Kazlov, Gertrude – Elementary English, 1970
Explains how the language of mathematics can be used in teaching boys who have negative attitudes toward learning the lnaguage arts. (SW)
Descriptors: English Instruction, Language Arts, Learning Motivation, Mathematical Concepts
Peer reviewedMarsh, Herbert W.; Hocevar, Dennis – Journal of Educational Measurement, 1983
This paper describes a variety of confirmatory factor analysis models that provide improved tests of multitrait-multimethod matrices, and compares three different approaches (the original Campbell-Fiske guidelines, an analysis of variance model, and confirmatory factor analysis models). (PN)
Descriptors: Analysis of Variance, Comparative Analysis, Evaluation Methods, Factor Analysis
Peer reviewedFischer, Gerhard H. – Psychometrika, 1983
Two linearly constrained models based on the Rasch model are discussed. Necessary and sufficient conditions for the existence of unique conditional maximum likelihood estimators are derived. Methods for hypothesis testing within this framework are proposed. (Author/JKS)
Descriptors: Estimation (Mathematics), Hypothesis Testing, Latent Trait Theory, Mathematical Models
Herscovics, Nicolas; Bergeron, Jacques C. – International Reviews on Mathematical Education, 1983
A brief survey of models in dealing with various types of understanding is given. Then a hybrid model, which proved inadequate for describing understanding, is outlined. Finally, four levels of understanding are discussed: intuitive, procedural, abstract, and formal. The concept of number is used to illustrate these levels. (MNS)
Descriptors: Abstract Reasoning, Cognitive Processes, Mathematical Concepts, Mathematical Models
Peer reviewedBurton, Grace M.; Knifong, J. Dan – School Science and Mathematics, 1983
Models for division are discussed: counting, repeated subtraction, inverse of multiplication, sets, number line, balance beam, arrays, and cross product of sets. Expressing the remainder using various models is then presented, followed by comments on why all the models should be taught. (MNS)
Descriptors: Division, Elementary Education, Elementary School Mathematics, Mathematical Models
Peer reviewedRadecki, Tadeusz – Journal of Documentation, 1982
Presents and discusses the results of research into similarity measures for search request formulations which employ Boolean combinations of index terms. The use of a weighting mechanism to indicate the importance of attributes in a search formulation is described. A 16-item reference list is included. (JL)
Descriptors: Information Retrieval, Mathematical Models, Measurement Techniques, Probability
Peer reviewedStrauss, David – Educational and Psychological Measurement, 1981
To determine if the observed correlation between two variables can be "explained" by a third variable, a significance test on the partial correlation coefficient is often used. This can be misleading when the third variable is measured with error. This article shows how the problem can be partially overcome. (Author/BW)
Descriptors: Correlation, Error of Measurement, Mathematical Models, Predictive Validity
Peer reviewedWhitely, Susan E. – Journal of Educational Measurement, 1981
Cognitive component research on aptitudes has shown that performance on test items depends on a series of processing events. Each processing component potentially defines a separate construct that contributes to item and subject differences in performance. This article presents the multicomponent latent trait model for measuring these component…
Descriptors: Academic Aptitude, Aptitude Tests, Cognitive Processes, Individual Differences
Peer reviewedChuang, David T.; And Others – Journal of Educational Statistics, 1981
Approaches to the determination of cut-scores have used threshold, normal ogive, linear and discrete utility functions. These approaches are examined by investigating conditions on the posterior, likelihood and utility functions required for setting cut-scores in a Bayesian approach. (Author/JKS)
Descriptors: Bayesian Statistics, Criterion Referenced Tests, Cutting Scores, Decision Making
Peer reviewedFlexser, Arthur J. – Psychological Review, 1981
Contingency analyses have been employed to assess the degree to which outcomes of successive tests of corresponding items deviate from stochastic independence. A method of adjusting contingency tables to remove the effects of subject and item inhomogeneities, is presented. The method represents a partial solution to the "Simpson's…
Descriptors: Correlation, Expectancy Tables, Goodness of Fit, Item Analysis


