The purpose of this text is to teach learning and understanding of mathematics at the ninth grade level through the use of science experiments. This text contains significant amounts of material normally found in a beginning algebra class. The material should be found useful for classes in general mathematics as a preparation for enrollment in…

This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…

Techniques are suggested for preparing practice exercises in algebra and trigonometry. (JP)

With the advent of computers and electronic calculators, the role of logarithms in the curriculum is changing. An intuitive approach to logarithms, stressing the notion of isomorphism, is discussed. (SD)

This is a response booklet for students using SMSG high school programed text materials. The response sheets are arranged by section and the spaces provided for answers are blocked to correspond to blocks of questions in the text. (MP)

Human information processing is analyzed in terms of eight fundamental concepts: procedures, operations on procedures, frames, planning language or meta-language, heuristics, knowledge in other forms, critics, and pointers. Examples of this processing are given. (MK)

SENIOR MATHEMATICS, WITH PRACTICAL EMPHASIS ON TOPICS FROM THE FIELDS OF ARITHMETIC, ALGEBRA, AND GEOMETRY, IS A ONE-SEMESTER COURSE FOR TWELFTH-GRADE STUDENTS. THE COURSE HAS TWO MAJOR OBJECTIVES--(1) PREPARING THE STUDENT FOR EMPLOYMENT BY IMPROVING HIS SKILLS IN THE BASIC PROCESSES OF MATHEMATICS, AND (2) PROVIDING THE STUDENTS WHO ARE ABOUT TO…

THIS INSTRUCTIONAL GUIDE WAS WRITTEN TO PROVIDE ASSISTANCE TO TEACHERS IN DEVELOPING THE BASIC CONCEPTS AND SKILLS OF ELEMENTARY ALGEBRA. THE CONTENT FOR EACH UNIT INCLUDES GOALS, A SEQUENTIAL DEVELOPMENT OF THE UNIT, AND SPECIFIC TEACHING SUGGESTIONS. THE TABLE OF CONTENTS FOR THE COURSE IS A DUPLICATION OF THE TABLE IN DOLCIANI, BERMAN, AND…

This is part two of a two-part SMSG algebra text for ninth-grade students. The text was written for those students whose mathematical talent is underdeveloped. Chapter topics include the real numbers, addition of real numbers, multiplication of real numbers, properties of order, and subtraction and division for real numbers. (MP)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include order on the number line, properties of order, solution of inequalities, and graphs of open…

This is unit four of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include equations and inequalities and congruence. (MP)

This is unit eleven of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include coordinate geometry and problem analysis. (MP)

This is part three of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include: (1) the system of vectors; (2) polar form of complex numbers; (3) sequences and series; (4) permutations; (5)…

THIS "CONSUMER MATHEMATICS GUIDE" IS DESIGNED TO GIVE CONCRETE HELP TO TEACHERS OF NON-ACADEMIC MATHEMATICS STUDENTS IN THE PRACTICAL AREAS OF BUSINESS AND INDUSTRIAL ARTS. THE COURSE, WHICH IS RECOMMENDED FOR JUNIOR AND SENIOR HIGH SCHOOL STUDENTS, PLACES EMPHASIS ON CONCRETE EXAMPLES, APPLICATIONS, AND VISUAL MATERIALS. SOME UNITS OF…