The concept of probability is not an easy concept for high school and college students to understand. This paper identifies and analyzes the students' alternative frameworks from the viewpoint of constructivism. There are various interpretations of probability through mathematical history: classical, frequentist, and subjectivist interpretation.…

A procedure for developing a nomogram that depicts expectancy of success on a criterion from performance on two predictors is presented. Data from 574 medical students attending Michigan State University College of Human Medicine's classes of 1979 through 1984 were used to develop a model for predicting the expectancy of success on Part I of the…

This Comprehensive School Mathematics Program (CSMP) guide is divided into three major parts. The first, the Languages of Strings and Arrows, opens with a suggested lesson order. Major sections cover instructional approaches for: (1) Games with Strings, (2) Necklaces, and (3) The Table Game. A Series of appendices is included. Part 2, Geometry and…

Primary health care has a new tool with which to improve its effectiveness, its efficiency, and its decisions about national and local priorities: the accurate measurement of the chances of occurrence of a future event of health or illness. Human and other resources should go where the need is greatest, and assessment of the risk of future…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…

A latent trait method is presented to investigate the possibility that Angoff or Nedelsky judges specify inconsistent probabilities in standard setting techniques for objectives-based instructional programs. It is suggested that judges frequently specify a low probability of success for an easy item but a large probability for a hard item. The…

This is an experimental SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include why study mathematics, decimal and non-decimal numeration, the…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

A procedure for predicting categorical outcomes using categorical predictor variables was described by Moonan. This paper describes a related technique which uses prior probabilities, updated by joint likelihoods, as classification criteria. The procedure differs from Moonan's in that the outcome having the greatest posterior probability is…

The Mastery-Learning test model is extended. Methods for estimating prior probabilities are described. The use of an adjustment matrix to transform a probability of mastery measure and empirical methods for estimating adjustment matrix parameters are derived. Adjustment matrices are interpreted as indicators of instructional effectiveness and as…

The Rasch item analysis model is supposed to yield norm-free estimates of ability and easiness values, but there are several possible interpretations of the nature and extent of such norm-freeness. One such interpretation was that to involve the scores of one single experimental group of testees which were embedded in four differently skewed…

This project is concerned with the development and implementation of some new statistical techniques that will facilitate a continuing input of information about the student to the instructional manager so that individualization of instruction can be managed effectively. The source of this informational input is typically a short…

The Massachusetts Institute of Technology provides a catalog of 16mm filmed and videotaped lectures and demonstrations. Each listing includes title, short description, length of presentation, catalog number, purchase and rental prices, and indications as to whether the item is film or videotape and black-and-white or color. The catalog is divided…

The use of computers in areas of testing, selection, and placement processes for those in military services' training programs are viewed in this paper. Also discussed is a review of the motivational and theoretical foundation of admissible probability testing, the role of the computer in admissible probability testing, and the authors' experience…

Most research on information utilization in judgment and decision making has followed two basic approaches: "regression" and "Bayesian." Each has characteristic tasks and characteristic information that must be processed to accomplish these tasks. There has been a tendency to work within a single approach with minimal communication between the…