This document is written for middle school teachers of grades five through nine who do not have specialized backgrounds in geometry. It is arranged in three parts. The first part provides a brief overview of the geometry curriculum of the middle school that includes the present state of affairs, a rationale for inclusion of geometry in the…

Heavy emphasis is placed on development of understanding of arithmetic in this mathematics curriculum prepared specifically for Navajo children and intended for use in reservation schools. Materials are presented so that only when a given concept is understood are skills associated with it and a written format introduced. Learning activities…

This item bank was compiled by the Australian Council for Educational Research (ACER) to help teachers at the secondary school level construct objective tests in mathematics. The multiple-choice items were written by teachers who attended ACER writing workshops. The questions are classified according to their subject content and the cognitive…

THIS REPORT DESCRIBES THE DEVELOPMENT OF A PROGRAM IN PLANE GEOMETRY AND THE USE OF THIS PROGRAM IN EXPLORATORY RESEARCH TO GENERATE HYPOTHESES ABOUT METHODS OF PROGRAM IMPROVEMENT. AN INDUCTIVE APPROACH, BASED ON AN INTENSIVE ANALYSIS OF THE BEHAVIOR OF INDIVIDUAL STUDENTS IN A SELF-STUDY SITUATION, WAS USED TO DEVELOP PRINCIPLES OF PROGRAM…

FOUR SELF-INSTRUCTIONAL PROGRAMS WERE STUDIED AND REVISED BY USE OF TUTORING TECHNIQUES WITH INDIVIDUAL STUDENTS TO CREATE MODIFIED PROGRAMS SUPERIOR TO THE ORIGINAL ONES. THE PROGRAMS USED IN THE STUDY WERE FIRST-GRADE READING, FIRST-GRADE ARITHMETIC, JUNIOR HIGH SCHOOL SPANISH, AND SENIOR HIGH SCHOOL GEOMETRY. PROGRAMS THAT LED TO IMPROVED…

This is a condensed report of a study commissioned by the Minister's Advisory Committee on Student Achievement (MACOSA). The study was designed to provide information about current levels of achievement in mathematics among students in Alberta schools and to provide a data base for future assessments. The test was given to third-, sixth-, ninth-,…

This handbook in mathematics is one of a series of handbooks designed for the Indochinese student in American high schools. Like the other books in the series, it is not intended to replace the English-language textbook, but it is designed to help the student understand the textbook. The material presented was compiled and adapted from high school…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This guide provides student practice problems which use the procedures of ship navigators to reinforce the skills of mathematics learned in the secondary school and which seek to provide examples of the application of mathematical concepts. Along with the practice problems, teacher background material is provided briefly in the body of the unit.…

This yearbook focuses on the teaching of a geometry course emphasizing critical thinking and methods of proof rather than on learning a body of theorems. In the first chapter the problem is defined, and its origin and background are discussed. Next the organization of the experimental situation is described. Chapter 3 gives numerous illustrations…

This NSF-sponsored conference on the teaching of mathematics at the junior high level involved mathematics teachers and teachers of the natural and social sciences. Papers written for the conference form the bulk of this report. Summaries of the papers and general discussions are organized into shorter reports to give some guidelines which could…

A set of ten teacher-prepared Learning Activity Packages (LAPs) in beginning algebra and nine in intermediate algebra, these units cover sets, properties of operations, number systems, open expressions, solution sets of equations and inequalities in one and two variables, exponents, factoring and polynomials, relations and functions, radicals,…

Presents an introduction to the study of projective geometry, including a definition and some analagous examples using the overhead projector. Illustrates the principle of duality, Desargues' theorem, Poppus' theorem, and Pascal's theorem. (TW)

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Presents a set of activities, in reproducible format, emphasizing geometry. The activities offer experiences in area measure, whole number and fractional computation, and problem solving in spatial relationships. (PK)