A method used in teaching abstract algebra is described; it could be applied to other classes. Students play a more active part in their own education by helping to select, prepare, and present material to the class. (MNS)

Methods for generating rational equations and some generalizations that can be used when writing classroom examples or test items are given. (MNS)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

Four problems are presented and solutions using a calculator are illustrated. (MK)

How the concept of function sheds new light on one of the central tasks of algebra, that of solving equations, is discussed. Many specific examples are presented, and a theoretical basis is included. (MNS)

The purpose of this article is to stimulate a discussion about the teaching of algebra. It seeks to raise questions which are more fundamental than those so far generated by the manipulative skills debate. (Author/MK)

A first computer lesson in algebra is described, with illustrations of programing by students. Standard algebraic notation with BASIC are discussed, and further activities described. The purpose is to use the computer so that it develops a rational understanding of the mathematical concepts involved. (MNS)

Practical tips on the teaching of subtraction, addition and subtraction of fractions, and finding the vertex of a parabola are given. (MK)

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

How to find and classify positive integral solutions to 1/a + 1/b = 1/c in beginning and advanced algebra classes is described. The computer finds the solutions, but students practice algebraic manipulation as they analyze the solutions for patterns. Extensions to challenge more capable students are included. (MNS)

The guide is arranged in vertical columns relating algebra curriculum concepts to curriculum performance objectives, career concepts and career performance objectives, suggested teaching methods, and resource materials. Career information on a variety of occupations includes comments on what a person in the occupation does, the level of education…

This guide is designed to aid the teacher in planning and teaching an eighth-grade mathematics course which should strengthen the student's understanding of the basic structure of mathematics through experience with and appreciation of abstract concepts. Thirteen units outlined are entitled: Numeration Systems; Natural Numbers and Zero; Integers;…

Guidelines that were prepared for use in curriculum development efforts by schools and districts throughout the state of Washington are presented in this document. The philosophy of mathematics education reflected in these guidelines is presented, as are a discussion of areas to be addressed if needed improvements in the K-8 mathematics program…

Lesson plans for teachers of ninth and tenth grade students contained in this guide are organized according to subject (algebra), instructional topic, career education developmental area, instructional goal, developmental goal, performance objectives, activities, and resource materials. The seven developmental areas of career education are listed…