Describes a geometry course that integrates transformation geometry into traditional high school geometry. Discussion of the scope and sequence of the course includes the topics of proof, congruence, translations, rotations, reflections, dilations, quadrilaterals, parallel lines, and similarity. (MDH)

The purpose of this book is to introduce the geoboard as an effective tool that can help young children understand geometry as they develop spatial sense and mathematical thinking. Activities are clustered into three main sections: beginning geoboard explorations, exploring polygons, and coordinates. Blackline masters are included. (MKR)

This book contains materials to present mathematics concepts using cooperative learning activities. The first section explains how to make cooperative learning part of the mathematics curriculum. It includes an overview, instructions, activities for introducing cooperative learning to students and parents, guidelines for setting up groups, ideas…

This investigation is part of a combined research/curriculum development project in which children's learning is being examined in the context of developing and testing instructional units on 3-D geometry in grades 3, 4, and 5. There are two components to the article. First, the strategies and cognitive constructions that students utilize to…

Several approaches to the teaching of vectors are discussed, and a particular model is advocated. (SD)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

Common strategies for teaching proofs are discussed. Prerequisite behaviors, components of a learning hierarchy, are expressed in behavioral terms. The six categories are knowledge about logic, knowledge about the components of a deductive system, knowledge about proof strategies, knowledge of proof formats, proof completion, and generalization.…

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)

The author describes an introduction to, and development of, the complex number field. (SD)

After a brief discussion of Pascal's triangle and description of four methods of hand construction, the author provides FORTRAN and BASIC programs for computer construction based on recursive definition. (SD)

Beginning with a construction problem admitting a classical solution, the authors provide other solutions based on algorithmic estimation and transformational geometry. The latter methods are generalized to suggest solutions to other problems; hints to these solutions are provided. Teacher-student discussion could lead in many directions. (SD)

Several times a week I walk by a metal chair that is fastened to a flat concrete slab at an outdoor bus stop here in Boulder. One day I noticed on the concrete a nice shadow image of the woven metal seat of the chair (Fig. 1). The seat and back of the chair are formed from 3.8-cm wide strips of metal spaced 3.8 cm apart. The seat is about 39 cm…

This document extracts ideas from research on the teaching of algebra and geometry which might prove useful to secondary school teachers. Part I reviews research on algebra; it is divided into sections on classroom instructional practices, cognitive factors, attitudes and affective factors, problem solving, computers and calculators, and testing…

This book is a translation of a Russian text. The translation is exact, and the language used by the author has not been brought up to date. The volume is probably most useful as a source of supplementary materials for high school mathematics. It is also useful for teachers to broaden their mathematical background. Chapters included in the text…