Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

Basic fraction concepts are viewed as the seedbed for many important mathematical ideas including the notions of equivalence, inverse, decimals, probability, ratio, and proportion. It is viewed that a critical component of children's mathematical knowledge necessary for success in certain fractional number contexts appears to be intellectual…

This is part two of a two-part SMSG elementary school text for fifth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include addition and subtraction of rational numbers, measurement of angles,…

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…

A collection of articles from the ARITHMETIC TEACHER is presented which are about practical, classroom-tested ideas for the instruction and use of teacher-made instructional aids. These entries deal only with manipulative type aids. They have been selected for the clarity of purpose and relationship to contemporary topics in the elementary school…

A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)

Results of the 1974 mathematics section of the London board's Ordinary level examination are presented in the context of item-correctness differences between boys and girls. Implications are made that insecurity with concepts such as fractions and proportionality may explain why girls seem to have trouble with quantification and spatial…

A concrete, intuitive means of representing division by fractions is presented. (CP)

In response to an earlier article advocating the elimination of fractions from the curriculum, the author argues for their retention. He points out examples of their use in music and physic, and discusses methods of presenting operations on fractions. (SD)

Explores the hypothesis that students in the fourth, fifth and sixth grade who were exposed to the "fraction ruler" as a manipulative for exploring basic fraction operations would perform more successfully in addition, subtraction and multiplication problems than students taught fraction operations by the traditional method. (Author/RK)

The study compared the effectiveness of an interactive videodisc curriculum incorporating principles of instructional design with a traditional basal curriculum to teach basic fraction skills to 28 high school students, including 17 mildly handicapped students. The videodisc curriculum's superiority at posttest and at two-week maintenance were…

What makes a fraction meaningful and a definition of the quantitative notion of fractions are discussed. Then observations from teaching experiments are presented. (MNS)

Four activities with fractions are given, concerning recognizing halves, making equal sized pieces, completing the whole, and making congruent parts. Worksheets as well as teaching suggestions are included. (MNS)

Four different conceptions of error-making from a pedagogical perspective are developed. Using errors as springboards for learning is advocated, so that better understanding of content and of the nature of mathematics results. (MNS)

This is a report of an application of the interpretation of errors and springboards in a real-life situation. If and why we need to reduce fractions is considered. (MNS)