This yearbook is a reference source of direct applications of mathematics for use in grades 7-12. Topics are listed alphabetically in each of four sections: arithmetic, algebra, geometry, and trigonometry. An explanation is given as to the plan of the book, making the location of desired material easier, and an index is included. In many cases the…

Part I of the teachers' guide for "Detecting Patterns" gives a brief description of the mathematical skills needed for the unit, lists the substantive areas touched on by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information on the individual chapters of the unit. Part II provides complete…

Pearson's unrestricted chi-square procedure is reviewed, and an historical presentation of Neyman's restricted chi-square test is introduced with a discussion of its theory and applicability to education. An example of the Neyman procedure is discussed in detail to familiarize researchers with this useful technique for analyzing contingency…

This paper is concerned with the study of similarities and differences in factor structures between different groups. A common situation is when a battery of tests has been administered to samples of examinees from several populations. A very general model is presented, in which any parameter in the factor analysis models (factor loadings, factor…

This extension of Harris' classification system permits classification of the interval-scale properties of any 2 x 2 (two person, two choice) game. The system is compared to taxonomies developed by various previous researchers. It is shown to permit compact description of any 2 x 2 game as an octet of numbers. It also permits rapid classification…

This document discusses the value of linear programing in finding minimum and maximum solutions to problems of resource allocation. Three models using this technique are given for the areas of educational finance, school district personnel compensation, and instructional program evaluation. (RA)

This course is a laboratory approach to linear measurement, perimeter, circumference, area of square and rectangle, volume of rectangular solids, and fluid measurement. Applications include use of ruler, meter stick, thermometer, beaker, air gauge, geometric solids, and geoboards. After lists of overall goals, overall strategies, specific…

PSYCHOLOGICAL PRINCIPLES INVOLVED WITH RULE GENERALITY (DEGREE OF NONSPECIFICITY) AND PERFORMANCE CONSISTENCY IN MATHEMATICAL PRESENTATIONS WERE STUDIED. SPECIFICALLY, THE PURPOSES WERE (1) TO DETERMINE IF TEST BEHAVIOR CONFORMS TO THE SCOPE OF A VERBALLY ADMINISTERED TEST RULE, (2) TO EXPLORE THE INTERPRETABILITY OF VERBAL TEST RULES, AND (3) TO…

Seventh and eighth grade classes investigated the uses of energy in their school and presented a report to the school board indicating current use and costs, projected future costs, and recommendations. (SD)

By considering colors as sets of wavelengths and using Boolean Algebra of sets, the effects of combining colors can be represented in a formal mathematical system. (SD)

Four types of issues related to the implications of the United States adoption of the metric system for mathematics education are discussed: (1) the basic issue, (2) mathematical content issues, (3) instructional issues, and (4) curricular issues. (SD)

To help simplify both teaching and learning of parallel circuits, a high school electricity/electronics teacher presents and illustrates the use of tables of values for parallel resistive circuits in which total resistances are whole numbers. (MF)

This article describes how logic is used as the basis of medical diagnosis, i.e., the presence or absence of certain symptoms implies the presence or absence of certain diseases. This usage is then illustrated with a real example. (MP)

This description of a graduate applied mathematics program developed at Hunter College is for students with a liberal-arts background and is suitable to the economic and geographical location of New York City. The components of the program and its success are reported. (Author/MP)

The direct quote word problem from scientific literature is suggested as a means of demonstrating the relevance of mathematics to other fields. (MP)