A project was undertaken to develop an occupational matrix in the vocational service area of Industrial Electricity and Electronics. To develop the matrix, researchers administered a mail survey to employers in the following occupational areas: non-electrical machinery, electricity and electronic equipment, miscellaneous repair services, radio and…

An approach for multiple factor analysis of dichotomized variables is presented based on distribution of first and second order joint probabilities of binary scored items. The estimator is based on the generalized least squares principle. Standard errors and a test of the fit of the model is given. (Author/RC)

This looseleaf teacher's manual is designed to facilitate using Science Curriculum Improvement Study (SCIS) for energy education in elementary schools. It is intended to be used with the SCIS Teacher's Guide as a supplement. The format of this manual matches a main SCIS concept with a closely related energy concept. Matrices show matched concepts…

THIS REPORT PRESENTS THE RESULTS OF A 5-YEAR RESEARCH PROGRAM WHICH ANALYZED MANY OF THE CORRELATES OF PEER ACCEPTANCE-REJECTION IN A SERIES OF STUDIES INVOLVING 37,913 SCHOOL CHILDREN, AGES 9 TO 12 YEARS. PEER ACCEPTANCE-REJECTION WAS INVESTIGATED THROUGH THE USE OF A PEER RATING SCALE AND A TEACHER RATING SCALE. A NUMBER OF METHODOLOGICAL…

Game theory is appropriate as a topic for an honors seminar for high school students. Matrices provide a model for analyzing certain situations involving conflict, and probability theory can be used to determine the best strategies for the players. Variations on the ancient game of morra are discussed. (MNS)

Describes organizational factors that influence most instructional development projects, relates them to the features of the project-oriented matrix, and lists and explains specific matrix management strategies that instructional developers can use to solve common management problems. (MBR)

The sample assessment items in this volume are sorted according to the strands of number and operations, algebra, geometry, measurement, and data analysis and probability. Because one goal of assessment is to determine students' abilities to communicate mathematically, the writing team suggests ways to extend or modify multiple-choice and…

The National Council of Teachers of Mathematics (NCTM) has published three documents that propose standards related to mathematics education called "The Curriculum and Evaluation Standards for School Mathematics" (1989), "The Professional Standards for Teaching Mathematics" (1991), and "The Assessment Standards for School Mathematics" (1995). The…

A basic structure approach is proposed for obtaining multidimensional scale values for attitude, achievement, or personality items from response data. The technique permits the unconfounding of scale values due to response bias and content and partitions item indices of popularity or difficulty among a number of relevant dimensions. (Author/BH)

Explains that primitive living structures furnish real-world problems that are solvable using mathematics and computer-modeling techniques. (KHR)

That the principal axis theorem does not extend to any finite field is demonstrated. Presented are four examples that illustrate the difficulty in extending the principal axis theorem to fields other than the field of real numbers. Included are a theorem and proof that uses only a simple counting argument. (KR)

Described is a geometric view of Singular Value Theorem. Included are two theorems, one which is a pure matrix version of the above and the other that leads to the orthogonal diagonalization of certain matrices, i.e., the Spectral Theorem. Also included are proofs and remarks. (KR)

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Three correlation matrices (PEARSON, POLYCHORIC, and TOBIT) were used to obtain reliability estimates on ordered polytomous variable models. A Monte Carlo study with different levels of variable asymmetry and 400 sample correlation matrices demonstrated that the PEARSON matrix did not perform as well as did the other 2 matrices. (SLD)

Two case studies, a study of retention of health care personnel and a study of internal organizational communication, are presented that illustrate the application of multidimensional unfolding (MDU) and mapping to organizational concerns. This approach to multivariate analysis allows clients and stakeholders to picture the results of complex…