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,…

One hundred forty-eight secondary school principals were chosen at random and asked to select one teacher at random from the mathematics faculty of their schools. Both were administered the Mathematics Inventory for Teachers, an instrument designed to measure attitudes toward mathematics as a subject and toward its teaching. The principals were…

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…

This is part two of a three-part SMSG calculus text for high school students. One of the goals of the text is to present calculus as a mathematical discipline as well as presenting its practical uses. The authors emphasize the importance of being able to interpret the concepts and theory in terms of models to which they apply. The text…

A National Assessment of Educational Progress (NAEP) statistical analysis deals with the amount of homework of l7-year-old students in 1976, the amount of television viewing, and presence or absence of various items in the home (e.g., a specific place for study, magazines, etc.). The data suggest that a higher performance on mathematics assessment…

THIS TEACHING GUIDE FOR TRIGONOMETRY IS THE FINAL UNIT OF A SERIES OF 12 UNITS FOR AN EXPERIMENTAL COURSE IN MATHEMATICS FOR GRADE 9. BACKGROUND MATERIAL FOR TEACHERS AS WELL AS QUESTIONS AND ACTIVITIES FOR CLASSROOM PRESENTATIONS ARE PROVIDED. A GLOSSARY OF MATHEMATICAL TERMS FOR THE 12 UNITS CONCLUDES THE REPORT. (RP)

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…

THIS IS VOLUME 3 OF A THREE-VOLUME EXPERIMENTAL EDITION CONTAINING A SEQUENCE OF ENRICHED MATERIALS FOR SEVENTH-GRADE MATHEMATICS. THESE MATERIALS ARE DESIGNED TO BE USED FOR A PROGRAM OF INDIVIDUALIZED INSTRUCTION FOR THE ACCELERATED STUDENT OR FOR CLASSROOM PRESENTATION BY THE TEACHER. THE PRESENTATION OF THE MATERIAL IS SUCH AS TO REFLECT…