The development of the idea that "The essence of mathematics lies in its freedom," a quotation from Cantor, is discussed. Several examples are given of relative truth, and the problem of consistency is discussed. Mathematics and its relationship to the physical world is also explored. (MNS)

The length of the longest ladder which will go round a right-angled bend in a corridor is found by five methods, none of which involves calculus. (MM)

This article describes a model icosidodecahedron made from cardboard and used as a lampshade. (MM)

Describes an analysis of the direction taken by a baseball immediately after coming into contact with the bat. Uses geometry, trigonometry, and physics. (MKR)

In this article, a continuation of SE 513 148, the author presents seven additional applications of group theory to high school mathematics. These applications can be used, not only to illustrate the group concept, but also to extend the development of ideas in the high school curriculum. (SD)

This course is part of an engineering certification program for men inspecting construction projects. It presumes some high school training in mathematics and science. The course begins with examples showing the importance of mathematics on the job. Following that is a section on algebra, one on geometry, and one on trigonometry. (KM)

Designed to accompany a series of videotapes, this textbook provides information, examples, problems, and solutions relating to mathematics and its applications in technical fields. Chapter I deals with basic arithmetic, providing information on fractions, decimals, ratios, proportions, percentages, and order of operations. Chapter II focuses on…

Describes Kerf bending which is used to produced a curved shape out of plywood. Discusses why Radtke's kerf-cut method yields a circular arch. (KHR)

This text is based on the idea that teachers of mathematics at any level will find it advantageous to be able to point to interesting, useful, and diverse applications of the mathematics they teach. The first chapter describes several graphing techniques used for displaying data and finding meaningful relationships as a result. Subsequent chapters…

Presents activities that combine astronomy problems with algebra, geometry, trigonometry, data analysis, and physics. Provides experiences for students in making distance measurements themselves by using the method of parallax. (ASK)

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…

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)