This document extracts ideas from research on the teaching of algebra and geometry which might prove useful to secondary school teachers. Part I reviews research on algebra; it is divided into sections on classroom instructional practices, cognitive factors, attitudes and affective factors, problem solving, computers and calculators, and testing…

This paper cites information received from a number of sources, e.g., mathematics teachers in two-year colleges, publishers, and convention speakers, about the nature of discrete mathematics and about what topics a course in this subject should contain. Note is taken of the book edited by Ralston and Young which discusses the future of college…

Articles published in the journal "The Arithmetic Teacher" in 1954-55, 1969, and 1986-88 were analyzed to assess the development of the journal. Note is made of such factors as size, cost, and appearance. Of greater concern is the focus. In the 1954-55 issues, a pragmatic philosophy of education, with emphasis on the usefulness of mathematics and…

Lower Columbia College (LCC) offers students who need developmental mathematics instruction a variety of courses and instructional formats. In 1977, the developmental mathematics curriculum consisted of two courses: Review Mathematics, offered only through the Math Lab with both desirable and undesirable effects; and Elementary Algebra, offered…

This is the third part of a three-part SMSG algebra text for high school students. Chapter titles include: Truth Sets of Open Sentences; Graphs of Open Sentences in Two Variables; Systems of Equations and Inequalities; Quadratic Polynomials; and Functions. (MK)

THE CURRICULUM CONSISTS OF FOUR MAJOR TOPICS--EQUATIONS, FUNCTIONS, GRAPHING, AND SIGNED NUMBERS. EACH TOPIC CAN BE INITIATED INDEPENDENTLY AND BUILT CUMULATIVELY THROUGHOUT THE ELEMENTARY SCHOOL GRADES. THE TOPICS ARE DEVELOPED LARGELY THROUGH GAMES AND/OR LESSONS DESIGNED TO HELP PUPILS DISCOVER "SECRET" PATTERNS OR DEVELOP TENTATIVE…

INFORMATION WAS EXCHANGED ON THE PSYCHOLOGICAL AND SOCIOLOGICAL PROBLEMS INVOLVED IN TEACHING MATHEMATICS TO UNDERACHIEVING STUDENTS, AND MATHEMATICS FOR STUDENTS OF LOW ABILITY. A PROJECT TO INCREASE LITERACY IN THESE STUDENTS WAS RECCOMMENDED. THE CONFERENCE REPORT WAS PUBLISHED UNDER SEPARATE COVER AS AN APPENDIX TO THE SCHOOL MATHEMATICS STUDY…

THE AIM IS TO MEET THE NEEDS OF THE AVERAGE STUDENT IN MATHEMATICS. MODERN CONCEPTS BASED ON THE FINDINGS OF EXPERIMENTAL PROGRAMS ARE INCLUDED. INDIVIDUAL DIFFERENCES AMONG STUDENTS ARE CONSIDERED, AND APPROPRIATE MATHEMATICAL SEQUENCES, DEVELOPED. COURSES OF STUDY IN MATHEMATICS ARE LISTED FOR THE FIVE "LANES" OF THE CHICAGO SCHOOL…

OF THE SEVEN OBJECTIVES STATED, TWO MAY BE UNIQUE. THEY ARE (1) TO GIVE PUPILS MASTERY OF THE BASIC MATHEMATICS FORMERLY COVERED IN GRADES 7 AND 8--THE FUNDAMENTAL OPERATIONS, PERCENTAGE, MEASUREMENT, FORMULAS, PROBLEMS, AND GEOMETRIC CONCEPTS AND CONSTRUCTIONS, AND (2) TO INTRODUCE THE BASIC CONCEPTS, TERMINOLOGY, AND SYMBOLISM OF CONTEMPORARY…

GRADES OR AGES: K-6. SUBJECT MATTER: Mathematics; sets and numbers. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into two sections--sets and numbers. Within each section the content is grouped into six levels in order of increasing difficulty. Each level contains from 3 to 15 concepts. Numerous diagrams and illustrations are…

This is part one of a two-part report of a research project for investigating arguments and attitudes towards the use of the calculator in the classroom; gathering information concerning research studies and their implications; and looking at the curriculum, the calculator's actual classroom use, and calculator-buying costs and recommendations.…

This paper discusses the possible uses which can be made of the history of mathematics in mathematical education. It contains a description of a lecture course for teachers in the history of mathematics and a discussion of some general and specific problems. (Author/MP)

Describes why a traditional arithmetic curriculum is no longer appropriate. Also presents the rationale behind some of the newer methods of mathematics instruction in the elementary schools. (BD)