Reports from representatives in 12 countries formed the basis of this review of the role and use of applications in mathematics in elementary and secondary schools. The editor provides an overview, drawing in part upon the various reports and adding additional structure to the scope of applications in the curricula. He describes the intent of the…

Through individual interviews with remedial and precalculus university students, five characteristics of the student were identified that influence whether a diagram is used in solving a problem and whether its use is successful. The interviews also suggested a set of subskills that contribute to the overall ability to draw effective diagrams.…

This book presents activities designed to promote students' understanding of important mathematical ideas as well as to provide learning experiences intended to let students practice and refine their skills. Chapter topics include: (1) understanding and using numbers; (2) computation; (3) problem solving; (4) calculators; (5) fractions and…

Numerous research studies over the past five years indicate that a high percentage of college students have severe deficiencies in their ability to use mathematics as a language for representing simple quantitative relationships. In the United States these problems are nearly as common among students with strong computational skills in algebra and…

This collection of materials includes six units dealing with applications of matrix methods. These are: 105-Food Service Management; 107-Markov Chains; 108-Electrical Circuits; 109-Food Service and Dietary Requirements; 111-Fixed Point and Absorbing Markov Chains; and 112-Analysis of Linear Circuits. The units contain exercises and model exams,…

This is the third in a series of documents designed to supplement the statistics training of social science students studying applied statistics. The intent is to present selected proofs and derivations of important relationships or formulas that students typically do not find available and/or comprehensible in journals, textbooks, and similar…

In product engineering there often arise design analysis problems for which a commercial software package is either unavailable or cost prohibitive. Further, these calculations often require successive iterations that can be time intensive when performed by hand, thus development of a software application is indicated. This case relates to the…

Outlined are the extensive provisions that have been made for the past sixteen years, degree-level studies in mathematical sciences under the auspices of the National Council for Technological Awards and the Council for National Academic Awards. (JP)

This document is designed for grade eight to enrich and supplement the usual courses of instruction. Mathematics and Living Things (MALT) utilizes exercises in biological science to derive data through which mathematical concepts and principles may be introduced and expanded. Chapters included are: (1) Leaves and Natural Variation: Measurement of…

This document is an instructional module package prepared in objective form for use by an instructor familiar with mathematics as applied to water and wastewater plant operation. Included are objectives, instructor guides, and student handouts. This module is the second of a three level series and addresses ratio and proportions, graphs, total…

The use of two units from the Unified Science and Mathematics for Elementary Schools (USMES) project is described. Activities contained in the units and students' reactions to them are recounted. (JP)

These two modules cover aspects of the coding process and algebraic coding theory. The first unit defines coding as a branch of information and communication science, which draws extensively upon many diverse mathematical fields, primarily abstract and linear algebra, number theory, probability and statistics, and combinatorial theory. Aspects of…

This document consists of five units which all view applications of mathematics to American politics. The first three view calculus applications, the last two deal with applications of algebra. The first module is geared to teach a student how to: 1) compute estimates of the value of the parameters in negative exponential models; and draw…

Fleet personnel in 10 electronics ratings were asked to indicate: (1) how often they used skills in 20 mathematics topics areas in performing their jobs, (2) the type of work engaged in when employing mathematics skills, (3) whether mathematics skills ability was helpful to job performance, and (4) whether they required mathematics skills not…