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…

THIS LEARNING ACTIVITY PACKAGE (LAP) IS DESIGNED TO GUIDE STUDENTS IN LEARNING HOW TO USE AXIOMS, IN WRITING PROBLEMS INTO EQUATION FORM, AND IN SOLVING EQUATIONS. IN ORDER TO ATTAIN THESE GOALS, THE STUDENT AT SOME POINT IN HIS PROGRAM MUST BE ABLE TO (1) WRITE A DEFINITION OF "AXIOM", (2) USE THE AXIOMS OF A FIELD IN SOLVING EQUATIONS, (3)…

THIS ANNOTATED BIBLIOGRAPHY IS A COMPILATION OF A NUMBER OF HIGHLY REGARDED BOOK LISTS CONSISTING OF LIBRARY BOOKS AND TEXTBOOKS FOR GRADES 7-12. THE BOOKS IN THIS LIST ARE CURRENTLY IN PRINT AND THE CONTENT IS REPRESENTATIVE OF THE FOLLOWING AREAS OF MATHEMATICS--MATHEMATICAL RECREATION, COMPUTERS, ARITHMETIC, ALGEBRA, EUCLIDEAN GEOMETRY,…

This curriculum project in general mathematics was planned with two specific objectives--(1) to study the existing curricula, textbooks, and teaching methods in mathematics in higher secondary schools of various states, and (2) to develop a new curriculum in mathematics in light of the objectives of teaching the subject and to try out the…

This student discussion guide is intended to accompany "Discovery in Mathematics," a text for teachers. This guide is a part of the developing curriculum program that helps students to organize their mathematical experiences in the early school years. The materials in this booklet deal mainly with fundamental arithmetic and algebraic…

This manual is written for programers whose specific assignment is the preparation of programed texts in mathematics based on the work of the School Mathematics Study Group (SMSG). Detailed information regarding the attempt to program the SMSG ninth grade course, "First Course in Algebra," is provided. Reported are (1) information on…

Described is a general college curriculum in mathematics that can be taught by a college staff with as few as four teachers. This report considers four related problems in mathematical education, particularly in colleges of arts and sciences. First, there is the problem of uncertainty about curriculum content and sequence. Second, the…

The curriculum guide for Albegra 2 correlates algebraic concepts with career-oriented concepts and activities. The curriculum outline format gives the concepts to be taught, matched with related career-oriented performance objectives, concepts, and suggested instructional activities in facing page layouts. The suggested curriculum outline is…

This course is part of an engineering certification program for men inspecting construction projects. It presumes some high school training in mathematics and science. The course begins with examples showing the importance of mathematics on the job. Following that is a section on algebra, one on geometry, and one on trigonometry. (KM)

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

This study was designed to (1) analyze relationships between qualitative characteristics of ability in mathematics and success in a special interest-ability algebra program at the eighth grade level and (2) develop a rating scale for teachers to use in identification of students with high potential in mathematics. The "Iowa Test of Basic…

This is Part 1 of the first course in a series which focuses on building fundamental mathematical structures. The arithmetic studied in elementary school along with modular arithmetic is examined and set notation and mappings of sets are presented. Mathematical group structures are introduced. Points and numbers are related both on a line and in a…

The second part of Course III includes a study of probability, polynomial, rational and circular functions, and informal space geometry. The chapter on probability presents such topics as probability measure, outcome sets and events, and overview of topics studied in Courses I and II. Chapters on functions include polynomial algebra concepts and…

Studied was the interaction between curriculum treatment and selected aptitude variables as predictors of learning and transfer scores. Visualization ability was measured by a paper folding test; general reasoning ability was measured by the Necessary Arithmetic Operations Test. Geometry students (191) were assigned to treatment groups for two…