This text is the last 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. In this volume the solution of systems of linear and quadratic equations and inequalities in…

This is a book of readings from the "Arithmetic Teacher" on selected topics in geometry. The articles chosen are samples of material published in the journal from its beginning in February 1954 through February 1970. The articles are of three major types. The first is classified "involvement." These articles describe geometry units in which the…

Reported is a comparison of the School Mathematics Study Group (SMSG) and Suppes' approaches to teaching informal geometry in grades three and four. Twenty-eight classes (617 students) were randomly assigned to an SMSG, Suppes, or control group. The students were from lower to middle socioeconomic backgrounds and measured at or below national…

Investigated was the relationship between teacher and student performance on selected mathematical tasks. A measure of teacher effectiveness was obtained by comparing teacher and student performance on identical geometric tasks. The sample for this study consisted of teachers and their students from 19 fifth-grade classes, designated as either…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors who are working to improve the achievement level of mathematics in the schools. The eighty sequential units of this bulletin are organized into 3 categories - (1) Sets, number and numeration, (2) Operations, and (3) Geometry and…

A quasi-systematic strategy of devising rule sets for problem solving is applied to ruler and compass geometrical constructions. "Lower order" rules consisting of basic skills and "higher order" rules which govern the selection and combination of lower order rules are identified by an analysis of problem types; three types of…

The primary goal of this study was to develop an instrument for measuring students' attitudes toward geometry at both the middle-school and the high-school levels. Sample items were solicited from both professional educators and students; from these, 67 pairs of Likert-type statements were created. These statements were tested for…

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…