Using a set of worksheets, students will discover and apply Euler's formula regarding connected planar graphs and play and analyze the game of Sprouts. One sheet leads to the discovery of Euler's formula; another concerns traversability of a graph; another gives an example and a game involving these ideas. (Author/KM)

Rules for determining the number of initial zeros and the period of a repeating decimal are stated and proved. (SD)

The author describes several physical problems whose solutions involve a helix. He argues that students remember "offbeat" approaches to important mathematical concepts. (SD)

Observing the relationship of general relativity and the geometry of space-time, the author questions whether the rest of physics has geometrical explanations. As a partial answer he discusses current research on subatomic particles employing geometric transformations, and cites the existence of geometrical definitions of physical quantities such…

Describes an out of the classroom activity encompassing science and mathematics concepts used in mapping and measuring tree heights. (BR)

The authors provide a list of calculators which have a capacity for handling programs, and a list of programs for such calculators which are available at cost. They argue that the use of these materials at many levels of mathematics instruction enhances both motivation and understanding. (SD)

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…

This is an activity-oriented guide for general mathematics classes, grades 8-12. Mathematics used includes measurement, estimation, time, computation, ratio, and money. Students assume the role of an industrial engineering technician determining the amount of time allowed and operator pay for completing an operation on a production line. A deck of…

The purpose of this project is to teach learning and understanding of mathematics at grades seven through nine through the use of science experiments. Previous knowledge of science on the part of students or teachers is not necessary. Lists of needed equipment are found at the beginning of this volume. It is strongly recommended that teachers try…

The purpose of this text is to help elementary school teachers achieve balance in the teaching of mathematics. Children must acquire (1) computational skills, (2) conceptual ideas, and (3) knowledge of applications of mathematics. The text provides reading materials for the teacher as well as problems and exercises to help fix the ideas in mind.…

Some students can perform operations on fractions when using physical materials, but are unable to transfer this ability to operations with symbolic expressions. They seem to view the manipulative and paper-and-pencil problems as different and are not surprised to get different answers. (SD)

A unit on the peoperties of a kite can include many geometric concepts: symmetry, distance, relationships between diagonals, area, altitude, angles, and others. (SD)

The teaching of non-numerical flow charting to all pupils is advocated as a means of preparing students for decision making. Several sample problems are provided. (SD)

A syllabus is proposed for a course in statistics at the secondary level. Brief comments are given on each topic, indicating how they may be presented to students. The overall approach to teaching statistics from an interdisciplinary point of view is discussed. (Author/SD)