This document contains six separate works, titled: (1) Functions and Physics; (2) Links Between Geography and Mathematics; (3) Our Inheritance: Common Ground for the Mathematics and Biology Teacher; (4) Mathematics and Chemistry: The Classroom Interface; (5) Mathematical Modeling; and (6) Mathematical Modeling with Calculus. This series of…

Relationships between item bias, item difficulty invariance, Rasch tests of item fit, and item position in a speeded 72-item Michigan State University Vocabulary Placement Test were investigated using 143 black males, 289 black females, 2,953 white males and 3,271 white females. Measures of item bias and item difficulty invariance were determined…

The extent, causes, and importance of context effects on item parameters for one- and three-parameter latent-trait models were examined. Items were taken from the California Achievement Tests Reading Comprehension and Mathematics Concepts and Applications subtests. The reading items were administered to 1,678 fourth-grade students, and the…

The norm-referenced evaluation model (RMC Model A) for Title I project evaluation, consists of procedures whereby the expected posttest standing of a treatment group under the null condition is generated from their pretest standing. It is assumed that the treatment group is not selected on the basis of their pretest scores and can be considered…

Title I evaluations using the RMC Model C design depend for their interpretation on the assumption that the regression of posttest on pretest is linear across the cut score level when there is no treatment; but there are many instances where nonlinearities may occur. If one applies the analysis of covariance, or model C analysis, large errors may…

A system designed to evaluate investment in Ohio's vocational education programs is described in this monograph which also serves as the system manual. Major features emphasized are (1) the system enables calculation of rate of return and of present value of investment in the training of an individual in a vocational program, when education is…

Generalizability theory extends previous methods of estimating the reliability of rating instruments such that one can estimate the precision of a measurement system for differentiating among students, scales, or any other important dimension. In this study, generalizability theory is applied to faculty ratings of junior and senior dental students…

This study explores some techniques that could assist education managers in their attempt to arrive at more optimal input and output mixes. The first part (Chapters 1-4) provides an overview of the input-output concept in relation to its employment in the educational setting, along with a review of the literature on the educational production…

Many colleges and universities have claimed some degree of financial distress, have sought increased federal, state, and philanthropic assistance, and have agonized over predicted declines in youth demand for higher education. In response to these concerns, numerous cost studies have been conducted but little is known of the relative efficiency of…

Massachusetts' Management and Information System for Occupational Education (MISOE) arrays data for its dynamic simulation model, which decides educational and instructional policies at the state, school district, and classroom levels, according to this formula: Inputs/Process/Product/Impact. In this monograph linear programed models are…

This paper models the educational process by a system of simultaneous equations. The endogenous variables (educational outputs) are a pupil's achievement, participation in a college preparatory program, need for achievement (aspirations), demonstrated motivation (effort), expectations, self-esteem, belief in his ability to control his environment…

The guide, intended as a model for teachers who will develop their own arithmetic curricular materials, introduces concepts sequentially from simple to complex and continues them from one level to the next at increasingly more difficult and abstract levels. The program is arbitrarily cut into four levels to correspond to school divisions: primary…

These proceedings include four articles intended to familiarize librarians with many facets of operations research and how they might be applied to their institutions. The first paper provides a brief definition of operations research. The second presentation, by Ralph Shoffner, relates, in the form of concrete examples, the questions one asks…

This study attempts to determine whether the pattern of human abilities varies or remains constant over a range of ability levels. Scores on 12 aptitude and achievement tests for 11,743 subjects, subdivided into four groups according to intelligence and socioeconomic status, were used. A technique, developed by Joreskog, for simultaneously factor…

The document contents divide into (1) the basic flow model of an educational system and its application to the secondary school system of Ontario and (2) a group of interrelated submodels that describe the entrance to higher education in considerably finer detail. In the first section, the principal variable of the model--the transition…