The article presents a revised model for individualized mathematics programing for the learning disabled adolescent. (PHR)

Thirty-five secondary school children were interviewed on a one-to-one basis using questions which involved concepts considered as basic to the notion of ratio. One implication of the study is that a doubling ability is no indication of the ability to tackle other ratio questions. (MN)

The number concepts of greatest common divisor and least common multiple are related to star patterns created through line designs. (JT)

Fourth-grade students' understanding of the order and equivalence of fractions was investigated in an 18-week teaching experiment. Three related characteristics of thinking are hypothesized to be related to success of such tasks, involving flexibility and reasoning that becomes increasingly independent of specific concrete embodiments. (MNS)

Five exploratory activities arising from work by sixth-grade students are described. They concern geometric ideas and number concepts, including fractions. Illustrations are included. (MNS)

Interpretation of rational numbers as fractions, ratios, percentages, and quotients of integers are discussed. Then coding conventions are noted, and equivalence classes are described. Finally, density and order are discussed. (MNS)

Instructional strategies that will develop the concept of a fraction are presented. Fractions as counting numbers, measures, and subdivisions are included, with a combination of regions and number lines suggested as a teaching aid. (MNS)

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only upper elementary level mathematics skills. Activities are…

How graph paper has been used to illustrate the algorithm for division of fractions is presented. The combined use of graph paper and an overhead projector can make the presentation even more convincing. A review of whole number division is recommended prior to the lesson. (MP)

An experiment is described which started with exploratory interviews, evolved to design and administration of diagnostic tests, and led to the preparation and use of calculator-enriched teaching materials. (MP)

The game "Order Out", which uses manipulative and pictorial aids, is effective in teaching the ordering of common fractions. The use of manipulative or pictorial aids during instruction did not significantly affect achievement. Gender-related achievement trends were observed. (CJ)

The results of exercises related to fractions on the National Assessment of Educational Progress (NAEP) for 9- and 13-year-olds are reported. This discussion is followed by suggestions on ways to help students be more successful when adding fractions. (MP)

Manipulative materials designed to instruct pupils on fractions are presented. The use of unit holders in teaching fundamental concepts of fractions and equivalent fractions are reviewed. (MP)

The study concluded that ninth-grade Fundamentals of Mathematics students can achieve at a higher level when using hand-held calculators and a specially designed curriculum. (MK)

Describes a project that allows students to derive fractions with varying denominators, estimate that fractional representation in a pie chart as a piece of the whole, and add their various fractions to find the sum equal to one whole. Includes samples of student work. (DDR)