An approach is illustrated that introduces selected models of addition and subtraction to students who have previously learned a model for either operation. (JT)

A mathematical model based upon signal detection theory is developed that characterizes social influences upon judgments of a stimulus. A social influence cue and the physical aspects of the stimulus were assumed to have independent effects upon performance. (Editor)

Three linear models (Fixed, Random, and Provisional) and their inferential counterparts are presented and discussed. The three linear models are considered in relation to the analysis of nonlinearity, and limitations in the use of polynominal and product variables are discussed. Several exemplary research papers are examined and reconsidered in…

Supply-related factors, such as differences in opportunity costs, play a major role in determining interarea salary differentials, according to a study of teachers' salaries through an analysis of cross-sectional data for 83 central cities and for the 48 contiguous states for the period 1968-70. (SH)

Features and tools to outline and shape the long-term learning process for ratio are presented, with examples. Ratio-anticipating activity and creating visual models and schemes are stressed, with the basis for a theory of teaching and learning ratio presented. (MNS)

An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)

The Libby-Novick class of three-parameter generalized beta distributions is shown to provide a rich class of prior distributions for the binomial model that removes some restrictions of the standard beta class. A numerical example indicates the desirability of using these wider classes of densities for binomial models. (Author/BW)

The author considers the selection of a baseball bat from a mathematical perspective. The effectiveness of a bat-slider system is specifically analyzed. Results are presented graphically to show the effects of the mass of the slider on the swing time and on the batted ball velocity. (PK)

Presents a method using weighted averages to approximate partial sums of alternating series. Examples are included. (PK)

Discusses a single pattern formation mechanism that could underlie the wide variety of animal coat markings found in nature. Presents the results of a mathematical model for how these patterns may be generated in the course of embryonic development. (CW)

Provides mathematical activities in reproducible formats appropriate for students in grades 7-12. The objective is to practice using area models in analyzing compound situations and calculating the expected value or long-term average. (PK)

This paper discusses various issues involved in using the Rasch Model with multiple-choice tests and questions the suitability of this model for multiple-choice items. Results of some past studies supporting the model are shown to be irrelevant. The effects of the model's misfit on test equating are demonstrated. (Author JAZ)

Examines information transfer in atmospheric physics by tracing one paper through five years of citations and suggesting patterns for highly cited papers. The results are also discussed in terms of information transfer in a popularized environment, as stratospheric aerosols have been prominently discussed in the popular press. (Author/EM)

This investigation tested the ability of an a priori hierarchical structure of self-concept derived from the Shavelson model to explain responses to the Self Description Questionnaire (SDQ) III, and demonstrated the application and problems with the use of hierarchical confirmatory factor analysis (HCFA). (Author/JAZ)

The activity uses an area model to analyze probabilities associated with games of chance. Three activity sheets are included, with teaching suggestions. (MNS)