The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

This booklet was written for elementary school teachers who want suggestions of the type of activities suited to a mathematics laboratory. The emphasis is not that of a thorough survey of the available activities. Instead, the author uses selected examples to describe the spirit of a laboratory environment. The suggestions include arrangements of…

Presented are position statements for the support of the mathematical sciences and a description of the present state of both research and education in mathematics and related disciplines. The report calls attention to the penetration of mathematics and mathematical modes of thought into many new areas of scholarship and the resultant increase in…

This bibliography serves as a guide to teachers and librarians who want to select books to supplement the elementary school mathematics program. The selections give an indication of the wide variety of topics which may include mathematical concepts. They reinforce or develop concepts about number and size, present material on the application of…

This report considers a university faculty which is divided into k grades. The total size is to remain fixed, but the proportions in the grades may vary. The problem is to find control strategies which will bring about desired changes in these proportions. This report is confined to investigating what can be achieved by controlling the numbers of…

This is the tenth module in the series "Expanded Programs of Consumer Education" and is suggested for use either as a discrete unit or with other units in the series. In Part I, technology and its effects are defined and explained, with automation and computers briefly considered. The topics of pollution, recycling, energy sources, and the energy…

This booklet is part of a series of four pamphlets, each intended to stand alone, which provide problems in probability and statistics at the secondary school level. Twelve different real-life examples (written by professional statisticians and experienced teachers) have been collected in this booklet to illustrate the ideas of mean, variation,…

The first part of the teachers' guide for "Finding Models" briefly describes the mathematical background necessary for the student, lists the substantive areas touched on by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information for the individual chapters. The second part provides complete…

This resource manual is designed for use with tenth grade boys whose main interest lies in the shop and industrial arts areas. The course emphasizes mathematical problems inherent in various trades and industries. The primary objective is to motivate the student to apply, improve, and increase his computational skills. The manual is divided into…

This document, a report of a seminar arranged by the Royal Belgian Society of Engineers and Industrialists, contains 35 papers illustrating the application of modern mathematics in engineering. There are eleven sections: Statistics, Operational Research, Boolean Algebra, Numerical Analysis, Eigenvalues, variations, Integral Equations and…

This curriculum guide outlines a one-to-two week consumer education unit for eighth grade students. It was written in response to Illinois Senate Bill 977 which required that all students in grades 8-12 be given instruction in consumer education. The lessons were developed to involve the students in stating problems, writing definitions,…

Concepts of general systems theory, cybernetics and the like may provide the methodology for communication theory to move from a level of technology to a level of pure science. It was the purpose of this paper to (1) demonstrate the necessity of applying systems theory to the construction of communication theory, (2) review relevant systems…

This guide includes a chapter on concepts related to measurement, a chapter describing the various measuring instruments that are used in the field, and a chapter indicating realistic class projects using field instruments. Twenty-three plates contained in the publication are designed as masters to make transparencies for classroom instruction. A…

Sixteen mathematicians from universities, schools and industries met for five days in 1966 to plan a "second round" curriculum which would place greater emphasis on the relevance of mathematics to problems of the real world. Their deliberations are reported in this document. The three main recommendations were that the curriculum should…

Efficient search of items in a store of information, such as books in a library, abstracts of articles, information in a computer data bank or the like, requires that the items most closely connected in content be close together, in order that a person looking for some particular information may concentrate his search on as small a part of the…