This study compares the effectiveness of three instructional strategies: programed self-instruction, tutored programed instruction, and lecture-demonstration. Classes of students were chosen by use of three pretests in order to insure that they needed a basic algebra course and that they had achieved readiness skills. Classes were ranked according…

In this study the mathematical achievement, interests, and aspirations of seventh-grade girls given a specially designed algebra course were compared with that of matched male and female samples enrolled in a traditional co-educational course. Samples were matched for SAT math and verbal scores, and for parents' level of education. The…

This is a flowcharting unit developed by teachers. There is a listing of the unit's objectives, the terminal one being that the student be able to draw and follow a flowchart describing a simple task involving a decision. A copy of the pretest is included. The first set of materials consists of four lessons and is a contract the student makes with…

A test of the forty-eight minimum mathematical competencies and skills identified by the National Council of Teachers of Mathematics (NCTM) was developed and administered to 1,239 students in randomly selected seventh, eighth, and ninth grade classes. The test consisted of two items for each competency identified, and students were declared to…

The content of this guide has been organized under five major topics: number and operations; sets, functions, relations, systems, and logic; geometry; measurement and estimation; and selected topics. A scope and sequence chart is given for each of the topics for grades K-12. Behavioral objectives, teaching aids and suggestions are listed for each…

This paper presents the results of the second class to participate in the fast-paced mathematics program begun by the Study of Mathematically Precocious Youth (SMPY) at Johns Hopkins University. Fast-paced mathematics classes were established to meet the needs of highly gifted junior high school students. Thirty-three students participated in the…

This manual provides a brief discussion of the philosophy of the Elements of Mathematics Program (EM) of the Comprehensive School Mathematics Program (CSMP), a listing of its basic goals, discussion of the roles of logic and intuition in the program, and suggested models for implementation. Sections on independent study, teacher preparation for…

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 text is the first 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. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…

This manual was designed for use with the second of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered…

This text is the third 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. The first of the two chapters in this text deals with equations, inequalities and radicals.…

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…

The findings of a group of 30 experts from 16 countries on the further training of secondary mathematics teachers are presented in this book. Topics included are aims of further training, difficulties in the planning for further training, the mathematics content needed in training programs, plans for the organization of training programs, areas of…

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…

This outline for Eleventh Year Mathematics in New York adheres closely to the recommendations of The Commission of Mathematics of the College Entrance Examination Board and thus presents a unified development of certain aspects of algebra, trigonometry, and analytic geometry. Its aim is both as a terminal course in mathematics and as a solid…