Presented in this translation are three chapters. Chapter I discusses the composition of forces and several theorems of geometry are proved using the fundamental concepts and certain laws of statics. Chapter II discusses the perpetual motion postulate; several geometric theorems are proved using the postulate that perpetual motion is impossible.…

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 is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include the rational number system; parallels, parallelograms,…

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) four finite geometries; (2) miniature geometries; (3) a coordinate approach to the 25-point miniature geometry; and (4)…

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 volume two of a three-volume SMSG junior high school mathematics text. This volume contains the units concerned with geometry. Unit topics include: (1) non-metric geometry; (2) informal geometry; and (3) measurement and approximation. (MP)

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 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 BOOKLET, ONE OF A SERIES, HAS BEEN DEVELOPED FOR THE PROJECT, A PROGRAM FOR MATHEMATICALLY UNDERDEVELOPED PUPILS. A PROJECT TEAM, INCLUDING INSERVICE TEACHERS, IS BEING USED TO WRITE AND DEVELOP THE MATERIALS FOR THIS PROGRAM. THE MATERIALS DEVELOPED IN THIS BOOKLET INCLUDE SUCH CONCEPTS AS (1) VARIOUS UNITS OF MEASURE, (2) FINDING AREAS OF…

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…

The research reported in this paper was designed to analyze the incidence of use of higher-order rules by students solving geometric construction problems. A carefully selected set of construction problems was subjected to rigorous a priori analysis by mathematics educators to determine what basic and second-order rules might be used by able high…

The curriculum guide correlates concepts in geometry 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 compatible with…

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)

This text is the second of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This volume is devoted to a rigorous development of theorems in plane geometry from 22…

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…