This booklet provides some answers to questions on how mathematics is used in the world of work, what kinds of problems it solves, and why it is the key to so many careers, particularly to the jobs of the 21st century. Part of that preparation is mathematical knowledge, tools such as derivatives, probability, and matrices as well as central themes…

This report details the mathematical skills and knowledge necessary for understanding of biological phenomena. Requirements for secondary school and undergraduate courses are listed separately. Provisions for training and retraining are discussed, and recommendations concerning further work of this group are made. (SD)

Observing that the ninth-grade general mathematics course has been relatively unaffected by recent curricular changes, the author calls for reexamination of the purposes of this course. Problem solving, vocabulary, and aesthetic appreciation in mathematics are addressed. (SD)

Students were given the problem: Given a deck of cards in a certain order, after how many shuffles will it return to its original order? They worked with small decks of cards to develop a general formula, but were unhappy with the results. (SD)

Continuing the discussion begun in SE 515 051, the author develops the properties of the stretch transformation and the stretch rotation. (SD)

The results of a survey of ten groups of individuals concerned about education are discussed. (SD)

Arguing for a mathematics curriculum based on pure mathematics, the author suggests that applications be used for motivational purposes. (SD)

The system of International Standard Book Numbers uses a check code based on modular arithmetic. This system, the use of a simple machine to compute check digits, and related classroom activities are described. (SD)

In this paper, the first section of a three-part article, the author discusses applications of mathematical theories in business situations. He explores the use of logic and networks in counting and accounting problems. (SD)

Describes an experimental type of science course which involves theoretical and practical approaches to scientific topics by using mathematics to develop and explain scientific problems and theory. Gives an example of such a course applied to the teaching of physical anthropology. (MLH)

Describes a group of chemistry experiments designed to convey to students the real and measurable nature of certain mathematical concepts. (BR)

This project addressed the question: What knowledge and processes enable individuals to construct and modify representations of novel, nonroutine problems? The theoretical goal was to extend the information-processing theory of problem solving to include processes that have been characterized as restructuring of problems and productive thinking by…