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Peer reviewedWainer, Howard – Journal of Educational Statistics, 1990
It is suggested that some of the technology applied to state Scholastic Aptitude Test scores to measure states' educational performance (particularly use of a truncated Gaussian model) may make it possible to adjust National Assessment of Educational Progress (NAEP) scores to make inferences about state educational progress possible. (SLD)
Descriptors: Academic Achievement, Educational Assessment, Elementary Secondary Education, Mathematical Models
Peer reviewedScott, Paul – Australian Mathematics Teacher, 1988
Describes the definition and characteristics of a regular polyhedron, tessellation, and pseudopolyhedra with diagrams. Discusses the nature of simplex, hypercube, and cross-polytope in the fourth dimension and beyond. (YP)
Descriptors: College Mathematics, Geometric Concepts, Geometric Constructions, Geometry
Peer reviewedHakstian, A. Ralph; And Others – Psychometrika, 1988
A model and computation procedure based on classical test score theory are presented for determination of a correlation coefficient corrected for attenuation due to unreliability. Delta and Monte Carlo method applications are discussed. A power analysis revealed no serious loss in efficiency resulting from correction for attentuation. (TJH)
Descriptors: Correlation, Equations (Mathematics), Hypothesis Testing, Mathematical Models
Peer reviewedKranzler, John H.; Jensen, Arthur R. – Intelligence, 1989
A meta-analysis of research on the relationship between inspection time (IT) and IQ was performed. The analysis was designed to determine whether a non-zero relationship between IT and IQ exists, estimate the size of this relationship, and test whether IT is ontogenetically related to "g" (intelligence). (TJH)
Descriptors: Adults, Age Differences, Child Development, Children
Peer reviewedVenezky, Richard L.; Bregar, William S. – Journal of Mathematical Behavior, 1988
Middle school and college students were assessed on percentage. Better students in each group were given word problems involving percentage and asked to think aloud as they solved problems. College students made more use of strategies for control and monitoring of their own procedures. A three-stage model for problem solving is then hypothesized.…
Descriptors: Cognitive Processes, College Students, Educational Research, Educational Theories
Peer reviewedFishman, Joseph – Mathematics Teacher, 1993
Suggests ways in which mathematical models can be presented and developed in the classroom to promote discussion, analysis, and understanding of issues related to energy consumption. Five problems deal with past trends and future projections of availability of a nonrenewable resource, natural gas. (Contains 13 references.) (MDH)
Descriptors: Data Analysis, Graphs, Integrated Activities, Interdisciplinary Approach
Peer reviewedDe Ayala, R. J.; And Others – Applied Measurement in Education, 1992
A study involving 1,000 simulated examinees compared the partial credit and graded response models in computerized adaptive testing (CAT). The graded response model fit the data well and provided slightly more accurate ability estimates than those of the partial credit model. Benefits of polytomous model-based CATs are discussed. (SLD)
Descriptors: Adaptive Testing, Comparative Analysis, Computer Assisted Testing, Computer Simulation
Peer reviewedPotari, Despina; Spiliotopoulou, Vasiliki – For the Learning of Mathematics, 1992
Reports a study designed to identify 9 and 11 year olds' ways of drawing nets of solids and to provide opportunities for them to reflect on their models in whole class discussions. Results indicated that children's views of solids' nets progressed from more global and holistic to more quantitative and analytic. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Concept Formation
Peer reviewedPonte, Joao Pedro – Mathematics Educator, 1992
Reviews the history of the concept of function, looks at its relationship with other sciences, and discusses its use in the study of real world situations. Discusses the process of constructing mathematical models of function and emphasizes the importance of the roles of the numerical, graphical, and algebraic representational forms. (MDH)
Descriptors: Algebra, Cognitive Development, Concept Formation, Functions (Mathematics)
Peer reviewedBogdanov, Constantine – Quantum, 1992
Discusses the mathematical model presented by Vito Volterra to describe the dynamics of population density. Discusses the predator prey relationship, presents an computer simulated model from marine life involving sharks and mackerels, and discusses ecological chaos. (MDH)
Descriptors: Computer Simulation, Ecology, Enrichment Activities, Learning Activities
Peer reviewedGuttman, Louis – Multivariate Behavioral Research, 1992
Argues that Jensen's article contains an inaccurate and misleading account of Spearman's work and distorts the basic concepts of factor analysis. The target article has failed in all its main objectives; its major failing is a result of the irrelevance of factor analysis to the study of group differences. (SLD)
Descriptors: Blacks, Equations (Mathematics), Factor Analysis, Groups
Peer reviewedDriver, Dennis A.; English, Richard – Mathematics in School, 1991
Presented is the solution to the problem of calculating the probability of winning or losing a game played by moving a counter from the center of a hexagonal grid according to the number shown after the toss of a die. The exercise is an example of an interesting mathematical investigation. (MDH)
Descriptors: Discovery Learning, Educational Games, Enrichment Activities, Learning Activities
Peer reviewedMathews, John H. – Mathematics and Computer Education, 1992
Presents two mathematical methods for fitting the logistic curve to population data supplied by the U.S. Census Bureau utilizing computer algebra software to carry out the computations and plot graphs. (JKK)
Descriptors: College Mathematics, Computer Assisted Instruction, Differential Equations, Higher Education
Peer reviewedWilliams, John Delane – Multivariate Behavioral Research, 1991
A proposed solution for the age x cohort x period issue in lifespan research uses all data, even with missing cells; can be used for repeated measures designs or designs in which new subjects are measured at each period; and allows assessment of each main effect and two-way interaction. (SLD)
Descriptors: Age, Analysis of Variance, Cohort Analysis, Data Interpretation
Peer reviewedXiaorong, Fang – Journal of the American Society for Information Science, 1992
Examines the problem of aging of books in university libraries and presents a mathematical model of the aging process. Indexes for the aging time limit, over-age book rate, and aging rate are suggested; use of the mean unit price is considered; and countermeasures for control of the aging process are proposed. (four references) (MES)
Descriptors: Books, College Libraries, Cost Effectiveness, Higher Education


