This is part one of a three-part School Mathematics Study Group (SMSG) textbook. This part contains the first five chapters including: (1) Analytic Geometry, (2) Coordinates and the Line, (3) Vectors and Their Applications, (4) Proof by Analytic Methods, and (5) Graphs and Their Equations. (MK)

This is part one of a three-part teacher's guide for an SMSG text designed to be used as a one-semester course for twelfth-grade students. This guide includes a suggested time schedule, a teacher's commentary, and answers to exercises. (MK)

This is part two of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. For chapters 6 through 10, this guide includes a teacher's commentary and answers to the exercises. (MK)

This is part three of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. This guide contains a teacher's commentary and answers to materials that can be used to supplement the regular course found in the first ten chapters of the text. (MK)

Inversions are transformations of geometric figures, under which straight lines may be mapped to circles, and conversely. The use of such mapping allows development of a unified method of solution for many of the problems of elementary geometry, especially those concerning constructions and "pencils" of curves. This book discusses the inversion…

This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…

VISUAL AND AUDIOVISUAL MATERIALS WERE TESTED TO DETERMINE THEIR EFFECTIVENESS IN A 1-YEAR NINTH-GRADE ALGEBRA COURSE. TESTS WERE GIVEN TO AN EXPERIMENTAL AND A CONTROL CLASS AFTER EACH UNIT TO ASSESS LEARNING. IN ADDITION, EACH STUDENT USED A POTENTIOMETER TO INDICATE THE LEVEL OF LEARNING EACH MINUTE OF THE LESSONS. ELECTRICAL SUMMATION EQUIPMENT…

The development of a diagnostic test at the Catholic University of Chile is described. The 50-item multiple choice test is used as an entrance and prerequisite test for students about to take a first university course in trigonometry and analytic geometry (MAT-111). Thirty items pertain to algebra and 20 to geometry. Each question corresponds to…

This text presents lessons relating specific mathematical concepts to the ideas, skills, and tasks pertinent to the health care field. Among other concepts covered are linear functions, vectors, trigonometry, and statistics. Many of the lessons use data acquired during science experiments as the basis for exercises in mathematics. Lessons present…

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 definitions, parallel and perpendicular lines, distance formula, midpoint formula, linear equations,…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include a three dimensional coordinate system, distance formula, the equation of a plane, first…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include absolute value, addition and multiplication in terms of absolute value, graphs of absolute…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) axioms in algebra; (2) the foundations of algebra; and (3) noncommutative algebra. (MP)

THIS CURRICULUM GUIDE FOR ALL GRADES OF PUBLIC SCHOOL INSTRUCTION IS INTENDED TO ASSIST LOCAL SCHOOL DISTRICTS IN DESIGNING AN ADEQUATE MATHEMATICS PROGRAM THAT REFLECTS THE MODERN APPROACH. THE GUIDE PRESCRIBES A PROGRAM WHICH IS SUFFICIENTLY FLEXIBLE TO BE USED BY LARGE DISTRICTS HAVING A COMPLETE THREE-TRACK MATHEMATICS PROGRAM WITH FIVE YEARS…

Because of small class enrollment, limited class offerings, and differences in ability range, a programmed algebra course was introduced to eliminate some disadvantages of a small school mathematics program. Credit was given to students completing 36 of the 73 chapters in Science Research Associates (SRA) Modern Mathematics, Course I. Post-test…