Analyses for results of a series of studies examining intercorrelations among a set of as many as p+1 variables are presented. Several estimators of a pooled or average correlation vector and its variances are derived for cases in which some studies do not report complete correlation matrices. A test of the homogeneity (consistency) of the…

The phenomenon of simultaneous differential item functioning (DIF) amplification and cancellation and the role of the SIBTEST computer program in detecting it were studied. A variety of simulated test data was generated for this purpose. In addition, the following real test data were used: (1) American College Testing program data for 2,115 males…

This project used an "intrinsic models" approach to develop a sample of microcomputer materials on graphing linear and quadratic equations and on recognition of general functional relationships. The "intrinsic models" approach uses motivating activities which are direct expressions of the underlying mathematics. The area of…

One of the most frequently used research methods in education and psychology involves repeated observations on the same individuals. When sample sizes are relatively small and a multivariate analysis lacks power, there are currently two analytical options in testing time effects. One is to assume a time series structure to these observations, and…

The rule space model permits measurement of cognitive skill acquisition, diagnosis of cognitive errors, and detection of the strengths and weaknesses of knowledge possessed by individuals. Two ways to classify an individual into his or her most plausible latent state of knowledge include: (1) hypothesis testing--Bayes' decision rules for minimum…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills, requiring them to develop and apply their own logic structures. This paper describes a microcomputer based…

This learning module provides students with practice in applying algebraic operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

Using generalizability theory as a framework, the problem of assessing the content validity of standardized achievement tests is considered. Four designs to assess test-item fit to a curriculum are described, and procedures for determining the optimal number of raters and schools in a content-validation decision-making study are considered. (TJH)

The validity of the assumptions under which the ordinal true score test theory was derived was examined using (1) simulation based on classical test theory; (2) a long empirical test with data from 321 sixth graders; and (3) an extensive simulation with 480 datasets based on the 3-parameter model. (SLD)

Some unresolved methodological and philosophical issues in the assessment of performance trends are discussed as they relate to the National Assessment of Educational Progress (NAEP). How to measure performance change while remaining responsive to advances in curriculum and the technology of assessment is a central dilemma. (SLD)

The difference between item bias and item impact and the way they relate to item validity are discussed from a multidimensional item response theory perspective. The Mantel-Haenszel procedure and the Simultaneous Item Bias strategy are used in a Monte Carlo study to illustrate detection of item bias. (SLD)

Over the years there exists gender inequality in science achievement among senior secondary school students the world over. It is observed that the males score higher than the females in science and science- related examinations. This has created a big psychological alienation or depression in the minds of female students towards science and…

This collection of 11 applied algebra curriculum modules can be used independently as supplemental modules for an existing algebra curriculum. They represent diverse curriculum styles that should stimulate the teacher's creativity to adapt them to other algebra concepts. The selected topics have been determined to be those most needed by students…

Some research on the learning of mathematics and on learning in general suggests that students may acquire knowledge more efficiently when presented with worked examples rather than the traditional lecture-and-then-practice format. Good worked examples may facilitate the development of mathematical schemata, while a means-end approach may retard…