Five methods are given for computing the area of a regular octahedron. It is suggested that students first construct an octahedron as this will aid in space visualization. Six further extensions are left for the reader to try. (LS)

The application of physical principles in solving mathematics problems have often been neglected in the teaching of physics or mathematics, especially at the secondary school level. This paper discusses how to apply the mechanical principles to geometry problems via concrete examples, which aims at providing insight and inspirations to physics or…

This is the teacher's guide to the SMSG text ANALYTIC GEOMETRY. The text is designed to be used as a one-semester course for 12th grade students. Included in this guide are: (1) suggested length of study for each chapter; (2) discussion of each chapter that is in the student text; (3) comments keyed to the pages of the student's text to provide…

This is the Teacher's Commentary for Mathematics for the Elementary School, Book 1 (Part 2), Special Edition. The writers have relied on the existing SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Included in the Commentary are background information for the…

These materials were developed to help high school teachers to become familiar with the approach to tenth-grade Euclidean geometry which was adopted by the School Mathematics Study Group (SMSG). It is emphasized that the materials are unsuitable as a high school textbook. Each document contains material too difficult for most high school students.…

The main purpose of this book is to provide background material in geometry for teachers or prospective teachers who know little or no geometry. It should be suitable as a text for a one-semester course for teachers of junior high school or upper elementary school students. Chapters contain developmental material and exercises. Chapters include:…

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.…

The value and technique of pre-geometry and geometry instruction in the primary grades are discussed. Geometric concepts such as open and closed figures, connectedness, similarity, congruence, straightness, and angle are presented through suggested activities, lesson plans, and evaluation procedures. (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 Czechoslovakian Academy of Sciences is sponsoring an experimental approach to the modernization of the geometry curriculum. Geometry is viewed as ancillary to other parts of the curriculum and is taught as appropriate to other subjects (e.g., algebra). Combinatorial geometry is taught formally. (SD)

From a special report, "What's New in Curriculum

AN INVESTIGATION WAS MADE TO DETERMINE WHETHER AN OVERHEAD PROJECTOR AND TRANSPARENCY SET WOULD BE MORE EFFECTIVE AND ACCEPTABLE TO TEACHERS AND STUDENTS THAN TIME-PROVEN CHALKBOARD DRAWINGS IN THE TEACHING OF A DESCRIPTIVE GEOMETRY COURSE. IT WAS FOUND THAT (1) THE LECTURE-DEMONSTRATION PERIOD CAN BE REDUCED TO ALLOW A LONGER SUPERVISED…