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Yen, Wendy M. – Journal of Educational Measurement, 1984
A procedure for obtaining maximum likelihood trait estimates from number-correct (NC) scores for the three-parameter logistic model is presented. It produces an NC score to trait estimate conversion table. Analyses in the estimated true score metric confirm the conclusions made in the trait metric. (Author/DWH)
Descriptors: Achievement Tests, Error of Measurement, Estimation (Mathematics), Latent Trait Theory

Bryk, Anthony S.; Weisberg, Herbert I. – Journal of Educational Statistics, 1976
Focuses on the fact that an educational treatment typically involves an intervention in a growth process. By modelling this process, expected growth for various treatment groups under control conditions may be estimated. Actual growth can be compared with projected growth to estimate the value-added by the program. A simple model is developed. (RC)
Descriptors: Analysis of Covariance, Comparative Analysis, Control Groups, Data Analysis

Brown, Daniel J. – AEDS Journal, 1976
Demonstrates the application of a mathematical model to the problem of cooperative busing across school districts for transportation to regional centers for occupational or special education. (Author)
Descriptors: Bus Transportation, Cost Effectiveness, Educational Finance, Elementary Secondary Education
Ilany, Bat-Sheva; Keret, Yaffa; Ben-Chaim, David – International Group for the Psychology of Mathematics Education, 2004
In this research we examined and assessed the impact of implementation of a model using authentic investigative activities for teaching ratio and proportion in pre-service teacher education. The model was developed following pilot studies investigating the change in mathematical and pedagogical knowledge of pre- and inservice mathematics teachers…
Descriptors: Mathematics Instruction, Mathematics Teachers, Pedagogical Content Knowledge, Preservice Teacher Education
Pittalis, M.; Christou, C.; Mousoulides, N.; Pitta-Pantazi, D. – International Group for the Psychology of Mathematics Education, 2004
Based on a synthesis of the literature, a model for problem posing cognitive processes was formulated, and validated. The major constructs incorporated in this framework were the situations in which problem posing occurs. For each situation, four cognitive processes were established: the editing of problems based on iconic or symbolic stimuli, the…
Descriptors: Problem Solving, Mathematical Applications, Mathematical Models, Cognitive Processes
Belcher, Johnny; Britt, Deborah; Granade, Sharilyn; Powell, Lori; Schlessinger, Paula – Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics (ACCLAIM), Ohio University, 2005
This paper proposes a mathematical model that delineates a feasible system of bus transportation for this multiple-school district. The model is composed of six elementary school districts which are part of the overall middle school and high school district. This proposal attempts to show Laurel district busing as a representative sample of what…
Descriptors: Population Distribution, Mathematical Models, Mathematics, Boards of Education

St. Louis, Larry; McNamara, James F. – Socio-Economic Planning Sciences, 1973
A decision model is presented for use in connection with data that are currently available in State departments of education to determine economies of scale for a State system of public school districts. An application of the model to the State of Oregon illustrates how economies of scale information for a State system can be used by policymakers…
Descriptors: Board of Education Policy, Cost Effectiveness, Costs, Decision Making

Fennema, Elizabeth H. – Arithmetic Teacher, 1972
A review of several studies on the role of concrete and symbolic models in facilitating the learning of mathematical ideas, and a discussion of their implications for instruction are presented. (DT)
Descriptors: Elementary School Mathematics, Experiential Learning, Instruction, Learning Theories

Sherman, Charles R. – Psychometrika, 1972
Results provide a first step toward the establishment of guidelines for the experimenter who wishes to use nonmetric multidimensional scaling effectively, especially when an underlying configuration is hypothesized. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Evaluation, Goodness of Fit

Lohnes, Paul R. – American Educational Research Journal, 1972
It may be useful in evaluation research to employ the class as the unit of analysis, assessing its syntality by a vector of distribution cumulants or indices for each of several input tests administered. (Author)
Descriptors: Classes (Groups of Students), Evaluation Methods, Input Output Analysis, Mathematical Models

Bock, R. Darrell – Psychometrika, 1972
Descriptors: Ability Identification, Comparative Analysis, Item Analysis, Mathematical Models

McNamara, James F. – American Educational Research Journal, 1971
Descriptors: Decision Making, Financial Support, Labor Needs, Linear Programing

Linn, Robert L. – Educational and Psychological Measurement, 1971
Descriptors: Educational Environment, Educational Finance, Evaluation Methods, Expenditure per Student

Bechtel, Gordon G. – Psychometrika, 1971
A sensitive measurement model is developed that provides transactional scale values for individual members of a group, as well as an evaluation of pairwise interactions and balances that are emergent properties of the group itself. (Author/DG)
Descriptors: Analysis of Variance, Group Dynamics, Hypothesis Testing, Mathematical Models
Bruno, James E. – Educ Admin Quart, 1970
The focus of this study is the development of an effective alternative to fixed step salary approaches to salary evaluation in school districts. A prototype model was derived which considered nine factors in salary evaluation. (Author/MF)
Descriptors: Boards of Education, Evaluation Methods, Incentives, Linear Programing