Geometric analysis of a cube can motivate formulae for factoring algebraic expressions involving sums and differences of cubes. (SD)

This textbook is one of a series of publications designed to provide information needed by Navy personnel whose duties require an elementary and general knowledge of the fundamental concepts of number systems, logic circuits, and Boolean algebra. Topic 1, Number Systems, describes the radix; the positional notation; the decimal, binary, octal, and…

This course is designed to prepare electronics personnel for further training in digital techniques, presenting need to know information that is basic to any maintenance course on digital equipment. It consists of seven study units: (1) binary arithmetic; (2) boolean algebra; (3) logic gates; (4) logic flip-flops; (5) nonlogic circuits; (6)…

This volume is designed to provide information for teachers and prospective teachers who will teach the basic concepts of algebra normally taught in grade 9. Each section of the book contains background information, suggestions for instruction, and problems. Sections in the book include: (1) Numerals and Variables; (2) Open Sentences and English…

This is one of a series of publications written to supplement the secondary school School Mathematics Study Group program. This booklet will be most useful for enrichment at the eleventh and twelfth grade levels. It treats algebraic structures as abstract mathematical systems and introduces such important ideas as group, non-abelian group, field,…

This paper uses discussion of Edmund Spenser's "The Faerie Queene" to present a theoretical framework for explaining the semantics of narrative discourse. The algebraic theory of finite automata is used. (CK)

This paper focuses on the identification of some conceptual factors underlying the initial learning of algebra. It describes a study which uncovered three predominant notions existing in a sample of ten 12- and 13-year olds prior to formal instruction in algebra, and the ways in which a particular approach to the teaching of algebra affected both…

A FOUR-PERIOD BLOCK PROGRAM CONSISTED OF ENGLISH, ALGEBRA, AND WORLD GEOGRAPHY. THE PROGRAM INCLUDED LARGE GROUP LECTURES, SMALL GROUP DISCUSSIONS, INDEPENDENT STUDY, AND A SUPERVISED STUDY HALL. PUPIL PERFORMANCE IN ENGLISH IN THIS SCHEMA AND PUPIL PERFORMANCE IN ENGLISH IN A REGULAR-SIZED CLASS WAS COMPARED. TEACHER REACTION AND STUDENT REACTION…

THIS TEACHING GUIDE IS THE THIRD OF FIVE EXPERIMENTAL EDITIONS CONCERNING MATERIALS AND METHODS FOR TEACHING A REVISED MATHEMATICS PROGRAM IN GRADE 8. BACKGROUND MATERIAL FOR TEACHERS AS WELL AS QUESTIONS AND ACTIVITIES FOR CLASSROOM PRESENTATIONS ARE PROVIDED IN THE CONTENT AREAS OF POLYNOMIAL EXPRESSIONS (UNIT 8) AND POLYNOMIAL EQUATIONS (UNIT…

Investigated was the effect of textbook, sex, and the setting of the presentation of the problem on the ability of first-year algebra students to recognize the properties of cummutativity, identity element, and inverses. A random sample of 40 pupils, 20 males and 20 females, was selected from a student population of 774 ninth grade algebra…

The purpose of this study was to investigate the areas of agreement or disagreement in teaching secondary school algebra in England and the United States. Textbooks were read and analyzed for the purpose of obtaining data related to the concepts included, and also for noting major developmental steps which occurred in each textbook series. Among…

These syllabuses for grades 7-12 were written, evaluated, and revised by a team of writers from the Orange County Science Education Improvement Project (OCSEIP). OCSEIP is a cooperative enterprise of the University of California (Irvine), California State College at Fullerton, the Orange County Schools Office, and local districts throughout Orange…