The author calls for teachers to seek changes in the content of school mathematics curriculum which will reflect the growing diversity of mathematical application. Two examples of such application which can be described by simple mathematics and involving easy manipulation are given. (MN)

Path analysis was used to reevaluate the analysis of covariance quasiexperimental study of the effectiveness of the Head Start program. Contrary to the original analysis, the alternative approach yields small positive estimates of effect. (Author/CTM)

A simplex model is presented for the analysis of longitudinal academic growth variables in which only one measure is obtained at each time. When this model fits the observed data, then reliabilities and unattenuated correlations can be estimated except for the first and last periods. (Author)

Observer disagreement is important because it limits the reliabilities of observational measures. To avoid this limitation, observers should be trained, and criterion-related and intraobserver agreement measures should be used both before and during a study. Several agreement coefficients are examined for their applicability. (Author/BW)

A procedure is presented for the analysis of rating data with correlated intrajudge and uncorrelated interjudge measurement errors. Correlations between true scores on different rating dimensions, reliabilities for each judge on each dimension and correlations between intrajudge errors can be estimated given a minimum of three raters and two…

Summarizes the Ising model of ligand binding as it applies to cooperative binding to long chain molecules. Also presents some illustrations which help to visualize the connection between the interaction parameters and the shape of the binding isotherm. (Author/MR)

A precise method of determining absorption maxima where Gaussian functions occur is described. The method is based on a logarithmic transformation of the Gaussian equation and is suited for a mini-computer. (MR)

Generating functions for the columns in Pascal's triangle are constructed through algebraic and geometric interpretations. (JT)

Described are various common misconceptions about the nature of mathematics and suggests that courses or activities based on model building might help change these. Two examples are offered. (SD)

Mathematical modeling was utilized in the planning and decision-making process involved in reorganizing a teaching clinic to effect continuity of care. The model interrelated physicians, time, and space, facilitating value judgments and decisions. The reorganization was successful and the outcomes remarkably similar to model predictions.…

This paper investigates the expansion of enrollments in national systems of education during the 1950-1970 period from the point of view of the population ecology of organizations. A simplified dynamic model of the growth of a population of educational organizations is estimated using various techniques for pooling time series of data. (Author/JM)

Demonstrates the mathematical equivalence of various school finance equalization formulas, describes the elements that complicate the preparation of a generalized simulation capability, and briefly presents a conceptualization of a generalized simulation model. (JG)

This study examined the effect of type of correlation matrix on the robustness of LISREL maximum likelihood and unweighted least squares structural parameter estimates for models with categorical variables. The analysis of mixed matrices produced estimates that closely approximated the model parameters except where dichotomous variables were…

The slower progress of semantic memory research is attributed to the difficulties involved in testing the relevant theories. This paper proposes a model for testing such theories using the Continuous Response (CR) task. The model establishes a link between the rate of recall and the semantic relationships among the category items. (JAZ)

Three models are compared in terms of detail, scope, attention to individual differences, and how they deal with qualitative change and semantic processing. Two are information-processing models of arithmetical word problem-solving performance, and the third is a model of children's counting types and thinking strategies. (MNS)