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)

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 course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This text, Part I, contains the first five chapters of the course and two appendices. Chapters included are: (1) Polynomial Functions; (2) The Derivative of a Polynomial…

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This text, Part II, contains material designed to follow Part I. Chapters included in this text are: (6) Derivatives of Exponential and Related Functions; (7) Area and…

Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)

The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)

This textbook provides the foundation for a second-year high school mathematics course. It aims to teach "how to study" as well as the "content" of a second unit of secondary mathematics through the nature and form of the material, explicit exhibits, formulated tests of both sound and unsound reasoning, through study-helps,…

This textbook is a third-year high school mathematics course and is the third of the series of textbooks on secondary mathematics. It completes the study of high-school algebra, trigonometry, and solid geometry. The features of this course are: (1) Reviews are carried on at frequent intervals throughout the course; (2) At the end of each chapter…

This is the third part of a three-part SMSG algebra text for high school students. Chapter titles include: Truth Sets of Open Sentences; Graphs of Open Sentences in Two Variables; Systems of Equations and Inequalities; Quadratic Polynomials; and Functions. (MK)

THIS TEACHING GUIDE IS THE FOURTH OF FIVE EXPERIMENTAL EDITIONS CONTAINING MATERIALS AND METHODS FOR TEACHING A REVISED MATHEMATICS PROGRAM IN GRADE 9. BACKGROUND MATERIAL FOR TEACHERS AS WELL AS QUESTIONS AND ACTIVITIES FOR CLASSROOM PRESENTATIONS ARE PROVIDED IN THE CONTENT AREAS OF (1) OPEN SENTENCES IN TWO VARIABLES (UNIT 10) AND (2) RELATIONS…