The development of proportional reasoning is a major focus of the middle grades curriculum. The challenge for educators is to find contexts that engage students and that facilitate the study of proportional reasoning. This chapter explores proportional thinking with students in grades 3-8 by using a number of books in which the underlying stories…

This yearbook contains articles that give insight into students' thinking about factions, ratios, and proportions. Suggestions are offered on how to develop the concepts and skills associated with these topics. The book is divided into elementary, middle school, and professional development sections. Chapters include: (1) "The Development of…

This book presents ways to use high quality children's literature to plan small group workshops in mathematics for K-2 instruction. Each of the six sets of workshops is built around storybooks children love and focuses on a specific aspect of numeracy: shapes, counting, seriation, addition, money, and measurement. Each set is designed for a…

Previous studies stressed the importance of half as an anchor in performing proportion and probability tasks. Thus, it can be supposed that this reference can help children when adding fractions. This possibility is examined in this investigation, contrasting two situations: one in which half is presented as an anchor during the solution of adding…

Efforts to develop a mathematics curriculum that meets the needs of a modern society are reflected in reform recommendations across the developed world. A common requirement is for students to understand the calculation procedures they are taught and to develop "number sense". This paper will analyse students' strategies for calculating…

This book has as its major focus the comprehensive assessment of children's early numerical knowledge and strategies and their advancement. Practical and theoretical aspects of assessment are explained in detail. A major feature of the book is a learning framework in early number that is applied in analyzing the results of assessment and planning…

Seventh and eighth grade students identified as holding an incomplete fraction conception of decimals were tested on related fraction knowledge. Most of these students (78%) had a problem in coordinating the size of the parts and the number of parts in comparing fractions. These students underwent several instructional sessions. Half of them…

This package features videotapes and a study guide that are designed to help teachers revisit the operations of addition and subtraction and consider how students can develop meaningful approaches to these operations. The study guides' sessions are on addition, subtraction, the teacher's role, and goals for students and teachers. The readings in…

This report describes a classroom observation study in Korean primary mathematics classrooms. What was discovered in Korean classrooms was children, through higher level questioning, were being led to conceptualize the constructs and operations. The textbook was focused on the concepts in a concise, coherent and systematic manner similar to what…

The United States should begin now to teach metric weights and measures. The new generation should learn at an early age the measurement language they will have to use throughout their later lives. (Author/WM)

Article is a demonstration lesson in elementary school mathematics that concentrates on mathematical patterns. (GB)

Arithmetic reading can be made lighter if teacher explains vocabulary, selects simple text, and aids in improving reading skills. (DS)

An application of behavioral analysis to the design of an inservice course on the teaching of place value is described. (MM)

Presented are ten problems for the mathematics laboratory in the intermediate grades, the children's reactions to the laboratory, and the authors' evaluation of it. (RP)