Several examples are given to show that the calculator can be a tool to enhance mathematical understanding. Expressing rational numbers (fractions) as decimals provides the content focus. (MNS)

Questions about teaching rational numbers are discussed, dealing with when to teach the meaning of fractions and of decimals, when and how to teach computation with fractions and with decimals, and other issues. (MNS)

This section presents materials to reinforce computational skills involving fractions and decimals using an Olympic Games setting. Four worksheets are included for levels 1 through 8. (MNS)

The purpose of this study was to assess the ability of students in grades 6 and 7 to order rational numbers in both decimal and fraction form, including the identification of their thinking strategies. Implications for instruction are included. (MNS)

Nine activities are presented in which the calculator can be used to create interest in the study of fractions. Estimation skills are emphasized. (MNS)

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

Activities are given to assist students in seeing a rationale for the difficult algorithms we teach for fractions. Both interpretations of fractions and operations with fractions are discussed. (MNS)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

It is suggested that elementary school students find rational numbers troublesome because some teachers have an inadequate understanding of rational number concepts and poor facility with rational numbers skills. How to help them overcome difficulties, develop concepts, and know what topics to emphasize are discussed. (MNS)

This paper provides some guidance as to what to listen for to help students make sense of expressions in ways that connect to their ideas and honestly address the mathematics of rational numbers. It offers a reasonable initial answer to the question, "Where do students' ideas about fractions and ratios come from, and how can we work productively…

This book contains activities related to fractions and proportions. The activities span many grade levels as well as many levels of sophistication. Each activity is accompanied by a set of Teachers Notes that include a discussion of the mathematics topics, grade range, materials needed, mathematics of the activity, and implementation notes. All…

A geometric model used to teach properties of rational numbers to college students is described. (MK)

Analyzes three textbook series to find what meaningful learning experiences with fractions the books offer relative to modes of representation, pictorial models, qualitative reasoning, and students' informal knowledge of partitioning. Discusses implications for teacher use, including supplementation, teacher-support materials, alternative…

Described are children's strategies in thinking about fraction order and equivalence. The data are based on two teaching experiments with fourth and fifth-grade children. Some sample activities for teaching order and equivalence are included. (RH)

Describes a process which allows students to explore repeating decimals without being inhibited by the limitations of the calculator display. In addition, the process can take some of the mystery from the decimal forms of rational numbers. (JN)