This pamphlet consists of 17 brief chapters, each containing a discussion of a numeration system and a set of problems on the use of that system. The numeration systems used include Egyptian fractions, ordinary continued fractions and variants of that method, and systems using positive and negative bases. The book is informal and addressed to…

A criterion-referenced test battery was devised for use with the mathematics program of the Mamaroneck Public Schools (New York) in 1971. After two annual administrations, the tests were revised in four ways. The format was changed, and the number of items dealing with geometry was increased; some items were revised to conform better with the…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

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 report, the first of several to be published on the results of the 1972-73 assessment of mathematics, begins with a brief general discussion of the project. The findings with respect to pure computation and computation with translation are then presented in some detail. Data collected from subjects at four age levels (9, 13, 17, and adult)…

The major question this study attempted to answer was, "Can conservation of number, area, weight, mass, and volume to be induced and retained by 3- and 4-year-old children by structured instruction with a multivariate approach? Three nursery schools in Iowa City supplied subjects for this study. The Institute of Child Behavior and Development…

Three experiments were conducted to investigate the learning of the concept "more than" by preschool children. In the first experiment, 48 nursery school children, ages 4 1/2 to 5 1/2 years, were divided into three groups. All were required to say which of two pictures contained the greater number of objects. In group one, circles were used as the…

This technical report is concerned with the evaluation of three Computer-Assisted Instruction (CAI) Programs - The Drill-and practice Program in Elementary School Mathematics, The Brentwood Tutorial Mathematics Program, and the Russian Program. Among the results reported were (1) the drill-and-practice mathematics program used in Mississippi and…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

This paper reports the results of a ten-week study investigating the use of electronic calculators to perform basic operations with rational numbers in ninth-grade mathematics classes. In all, six classes and 101 students were involved. A short literature review is given and three treatments are described. Dependent variables were five mastery…

The purpose of the study was to determine the effects of type of grouping (multibase (M) or base ten (T) ) and the time that base representations are introduced (initially (EB) or after counting, reading and writing numerals (LB) ) on achievement in numeration in grade one. Four intact classes of 110 students participated, and a 2 x 2 factorial…

This booklet is one of the ten in the series "Experiences in Mathematical Discovery", produced by the General Mathematics Writing Project of the NCTM. Each is designed for use by students of ninth-grade general mathematics. The discussion and problems are designed to guide the student through an understanding of: 1) fractions, 2) equivalent…