The author presents two examples of lattice multiplication followed by a computer algorithm to perform this multiplication. The algorithm is given in psuedocode but could easily be given in Pascal. (PK)

The purpose of this series is to provide instructional ideas and materials that support implementation of the Curriculum and Evaluation Standards in local settings. This book addresses in a very practical way the content, pedagogy, and pupil assessment dimensions of reshaping school mathematics. Chapters include discussions and activities that…

Presents computer programs (Applesoft Basic) for: (1) 2-D rotation about any point through any angle; (2) matrix transformation for 2-D rotation; (3) 3-D translation; (4) 3-D rotation; and (5) hyperboloid rotated in 2-D space. Includes background information and sample output for the matrix transformation subroutines. (JN)

Procedures for simultaneous confirmatory factor analysis in several populations are useful in a variety of problems. This is demonstrated with examples involving missing data, comparison of part correlations between groups, testing the equality of regression weights between groups with multiple indicators of each variable, and the formulation of…

Presents an Instructional Development model based on the concept of a personalized competency based self-paced system of instruction which allows for the shifting relationship between instruction and management for educational outcomes. Guidelines are provided for planning curriculum projects, learning processes, administrative duties, learning…

Examines how systems thinking, simulation, and modeling affect secondary school teachers' classroom processes. Highlights include a two-dimensional matrix to show patterns of adaptation, teacher proficiency with technology, curriculum development, time constraints, teacher training, expertise, accountability, administrative issues, and the…

Studied the improvement in precision of population estimates from the inclusion of extensive covariates in the multivariate procedure that imputes values for the missing proficiencies. Analysis of data from the National Assessment of Educational Progress (samples of 10,291 eighth graders and 8,416 fourth graders) shows that improvement in…

Discussed is the use of magic squares as examples in a first year course in linear algebra. Four examples are presented with each including the proposition, the procedure, and a proof. (KR)

A 3-year core curriculum may be the fundamental change proposed for grades 9-12 in the "Standards." This article provides 2 examples for content differentiation for particular topics and problems. Some suggestions for adjusting the present curriculum to align with the core curriculum are provided. (YP)

Presents cost analyses of building a patio, incorporating manipulatives, pattern building, graphing calculators, matrix applications, and functions. Includes reproducible student worksheet. (MKR)

Development of an alternate form of Raven's Standard Progressive Matrices Test is described. Reliability analysis with 449 children of differing racial/ethnic backgrounds showed good reliability and comparable predictive validity. The alternate form is a promising research tool. (SLD)

Describes the use of a matrix process to establish connections between mathematics and science using national standards. The matrix can be established as a regular part of the planning process and can help guide educators to implement effective activities which embed the standards and connections within the curriculum rather than as supplemental…

Uses input-output analysis to develop a model that assesses the effect of changes in final-demand work on employees at a South Carolina community college. Model uses matrices and the Leontief inverse function to monitor employee workload impact and analyze simulated scenarios. (YKH)

The use of indices and statistics based on nonlinear factor analysis (NLFA) has become increasingly popular as a means of assessing the dimensionality of an item response matrix. Although the indices and statistics currently available to the practitioner have been shown to be useful and accurate in many testing situations, few studies have…

The impact of the use of data arising from balanced incomplete block (BIB) spiralled designs on the chi-square goodness-of-fit test in factor analysis is considered. Data from BIB designs posses a unique pattern of missing data that can be characterized as missing completely at random (MCAR). Standard approaches to factor analyzing such data rest…