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…

This is unit thirteen 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 approximations, solution sets of mathematical sentences, and quadratic functions. (MP)

This is part two of a three-part SMSG algebra text for high school students. The principle objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure exhibited by the real number system, and the use of this structure as a basis for the techniques of algebra. Chapter topics include…

This is part two of a two-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 exponential and logarithmic functions and circular functions. (MP)

Described is the development of an approach to the algebra of real numbers which includes three areas of mathematics not commonly found in grade 9--the theory of limits of infinite sequences, a frequent use of Cartesian co-ordinates, and algebra of matrices. Seventy per cent of the course is abstract axiomatic algebra and the remaining portion…

This guide for teachers of mathematics in the Career Guidance Program has been designed to help to develop a new interest in education for pupils who have at some point in their career lost interest in academic learning. The program was organized for the ninth grade, since this was the terminal year of the junior high school and since at this time…

The first part of Course III focuses on matrix algebra, graphs and functions, and combinatorics. Topics studied include: matrices and transformations, the solution of systems of linear equations, matrix multiplication, matrix inversion and a field of 2 x 2 matrices. The section on graphs and functions considers regions of the plane and…

The series "Soviet Studies in the Psychology of Learning and Teaching Mathematics" is a collection of translations from the Soviet Literature of the past twenty-five years on research in the psychology of mathematical instruction. Also included are works on methods of teaching mathematics directly influenced by this research. The aim of…

This booklet is a sample activity from an individualized instruction unit in mathematics. Agreement between the performance specified in the units' objectives, the performance taught in the instruction activity, and performance required on the posttest was a key criterion during the development of this material. The student is told what he is…

This document is a progress report on the implementation of the recommendations of the Commission on Mathematics regarding the teaching of mathematics in secondary schools. Data were obtained from a survey of about 38,000 students who represented more than 7,500 secondary schools in the United States and who took College Board Achievement tests…

This document is a reprint of the geometry section from the 1954 syllabus Mathematics 10-11-12, An Integrated Sequence for the Senior High School Grades. The text outlines a tenth year geometry course integrated with arithmetic, algebra, and trigonometry, which progresses from an informal to a formal level. The topics suggested include definition,…

Two approaches to teaching college algebra were evaluated to determine their effectiveness in achieving the objectives of college algebra in the industrial technology curriculum. The null hypothesis of no significant difference in the effectiveness of the traditional approach to teaching college algebra and an experimental approach was…

This basic guide to a complete secondary mathematics curriculum is designed to ensure that each student will be presented uniform mathematical concepts and principles, geared to his individual needs, abilities, and interests. The guide is not planned for use with a particular textbook; instead, it is to serve as a core around which each teacher…

Strategies for problem solving are discussed in the first chapter in Unit 10 of this SMSG series. The second chapter covers the following algebra topics: solving simple equations and inequalities, simplifying expressions, solving fractional equations and solving inequalities involving fractions, factors whose product is zero, and factoring. See SE…

This study was undertaken to test the findings of Dienes and Jeeves concerning the strategies used by students to learn mathematical structures. The study also proposed to determine whether students are consistent across structures and embodiments in the strategies they use and the evaluations they give. One hundred adolescent girls were given…