The teacher's guide for the eleventh unit in this SMSG series covers the chapter on rigid motions and vectors and the chapter on computers and programs. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral…

This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

This is the fourth volume of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items included were not intended to be official or comprehensive but rather to be used as an aid to teachers in constructing curricula and in making classroom goals…

This study was undertaken as an effort to inform secondary school planners relative to the effects of the long block-of-time class period for fewer days on the achievement, retention and attitudes of pupils. The study was limited to six class groups enrolled for Biology I and six class groups enrolled for Plane and Solid Geometry at Cape…

This document is the report of a curriculum writing session. Using the recommendations and suggestions of the planning conference (SE 012 733), the writers produced detailed outlines for the grade seven through nine curriculum. The purpose and rationale of each unit are stated, and the separate sections outlined. Sample exercises are included for…

This textbook is the second in the arithmetic series developed by the Ministry of Education in Saigon and used in all public schools in Vietnam. The books in this series have been reprinted in their entirety from the original editions for use in elementary schools in the United States which have Vietnamese students. The Grade 2 text is divided…

This document contains 13 papers presented at a conference concerned with the role of geometry in present day mathematics teaching. Of the six papers written in English, one looks at the Euclidean tradition in teaching mathematics, the algebraisation of geometry, and transformation geometry, and concludes with a discussion of twelve topics which…

The overall results of the fourth U.S.A. Mathematical Olympiad are discussed. The names of the eight finalists are listed, as are the problems in the test. (SD)

Lines in the coordinatized plane which do not go through the origin can be designated by the ordered pair of intercepts. The enrichment unit described illustrates duality in mathematics. (SD)

Beginning with an analysis of the golden rectangle, the author shows how a series of problems for student investigation arise from queries concerning changes in conditions and analogous situations. (SD)

The subject of parallax can motivate learning related to measurement of lengths and angles as well as provide an introduction to trigonometric concepts. (SD)

A carpenter's square can be used to introduce students to an alternative method of performing geometric constructions. (SD)

Descriptions and pictures of apparatus for use in teaching measurement are accompanied by descriptions of typical uses of the materials. A list of names and addresses of suppliers is included. (SD)

Six different methods were used by students to solve the problem of finding the area of a given trapezoid. A seventh method used by textbooks is also discussed. (MP)