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Peer reviewedBrantingham, Patricia L.; Brantingham, Paul J. – Environment and Behavior, 1978
Presents a mathematical technique for building perceptual models of urban areas. Uses techniques to model perceptual neighborhoods within a city and to explore how residential burglary rates vary between the interiors and borders of the neighborhood. (Author/MA)
Descriptors: Behavior, Environmental Influences, Mathematical Models, Psychological Studies
Peer reviewedSanchez, Bonnie M. – Community/Junior College Research Quarterly, 1978
A selected and annotated bibliography of ERIC documents describing community college enrollment projection methods, including a demographic planning model, a modified Delphi technique, a cohort survival model, the age participation technique, and the bond program projection technique. (Author/AC)
Descriptors: Annotated Bibliographies, Community Colleges, Enrollment Projections, Mathematical Models
Peer reviewedBlair, R. Clifford; Higgings, J. J. – American Educational Research Journal, 1978
Kaufman and Sweet's article on the regression analysis of unbalanced factorial designs (EJ 111 767) is reviewed. A number of errors are noted, and relevant literature is cited. (GDC)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Research Design
Peer reviewedSirotnik, Kenneth; Wellington, Roger – Journal of Educational Measurement, 1977
A single conceptual and theoretical framework for sampling any configuration of data from one or more population matrices is presented, integrating past designs and discussing implications for more general designs. The theory is based upon a generalization of the generalized symmetric mean approach for single matrix samples. (Author/CTM)
Descriptors: Analysis of Variance, Data Analysis, Item Sampling, Mathematical Models
Peer reviewedChavda, L. K. – American Journal of Physics, 1978
A complete matrix formulation of the theory of small oscillations is presented. Simple analytic solutions involving matrix functions are found which clearly exhibit the transients, the damping factors, the Breit-Wigner form for resonances, etc. (BB)
Descriptors: College Science, Graduate Study, Higher Education, Mathematical Models
Peer reviewedLoos, J. S.; Dawson, S. L. – American Journal of Physics, 1978
Some of the properties of electromagnetic showers observed in an experimental study are illustrated. Experimental data and results from quantum electrodynamics are discussed. Data and theory are compared using computer simulation. (BB)
Descriptors: College Science, Computers, Electricity, Energy
Gardner, Martin – Scientific American, 1978
Describes the life and work of Charles Peirce, U.S. mathematician and philosopher. His accomplishments include contributions to logic, the foundations of mathematics and scientific method, and decision theory and probability theory. (MA)
Descriptors: Cognitive Processes, Learning Activities, Logical Thinking, Mathematical Logic
Findler, Nicholas V. – Scientific American, 1978
This familiar card game has interested mathematicians, economists, and psychologists as a model of decision-making in the real world. It is now serving as a vehicle for investigations in computer science. (Author/MA)
Descriptors: Computer Programs, Computer Science, Computers, Decision Making
Peer reviewedBorrie, Morag; Burghes, David – Mathematics in School, 1978
A mathematical model giving weight which can be lifted as a function of bodyweight is formulated and compared with the actual data for the flyweight through the heavyweight classes. (MN)
Descriptors: Instructional Materials, Mathematical Applications, Mathematical Models, Mathematics Education
Peer reviewedVest, Floyd – Educational Studies in Mathematics, 1976
An analysis of methods of teaching children to solve verbal arithmetic problems is presented together with transcriptions of interviews in which children solve problems by reference to problem types. (SD)
Descriptors: Elementary Education, Elementary School Mathematics, Instruction, Logical Thinking
Robin, Anthony C. – Mathematics Teaching, 1976
Finding the shortest route between two points can be approached by vector methods. Several types of matrices modelling a map of 6 cities are described. (SD)
Descriptors: Algebra, Curriculum, Geometry, Instruction
Peer reviewedTh.van der Kamp, Leo J.; Mellenbergh, Gideon J. – Educational and Psychological Measurement, 1976
Joreskog's model of cogeneric tests is used to analyze agreement between raters. Raters are treated as measuring instruments. The model of cogeneric tests, of which classical parallelism and tau-equivalence are shown to be special cases, is applied to teachers' ratings of students' responses on open-end questions. (Author/RC)
Descriptors: Goodness of Fit, Mathematical Models, Rating Scales, Statistical Analysis
Peer reviewedWheaton, Neville K. – Australian Mathematics Teacher, 1977
The author argues the case for having students learn mathematics while developing mathematical models for real situations. Examples of mathematical models and modelling possibilities are given for various fields of interest. (MN)
Descriptors: Experiential Learning, Instruction, Mathematical Applications, Mathematical Models
Peer reviewedYorke, Ellen D. – American Journal of Physics, 1978
Demonstrates that if a sinusoidal oscillation of the point of support of a pendulum is approximated by a square wave, a matrix method may be used to discuss parametric resonance and the stability of the inverted pendulum. (Author/SL)
Descriptors: College Science, Force, Higher Education, Instruction
Peer reviewedKauffman, Dan; And Others – Instructional Science, 1976
An equation is derived which predicts the relationship between the subjective information content of written textual material and the relative number of errors committed by a learner when asked to predict, letter by letter, the content of given textual material. (Author)
Descriptors: Computer Programs, Guessing (Tests), Information Processing, Learning Processes


