This fourth and final volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents research reports for author surnames beginning Na- through Zod-. Reports include: (1) Mathematically Gifted Students' Problem Solving Approaches on Conditional Probability (GwiSoo Na, DaeHee Han,…

Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.

This paper describes how a target group of seven students in a combined fourth and fifth grade mathematics class used structured representations to solve fraction problems situated within various realistic contexts. Emphasis is given to the ways in which students' thinking about rational number concepts influences and is influenced by the…

The first section of this guide contains detailed instructions on how to stage a Microscopic Explorations Festival and an overview of learning station activities that can be used during such an event. The main section of this guide provides concise instructions for setting up each of the festival stations. For each station there is an overview,…

Vicki Zack, a classroom teacher and researcher, returned to the fifth grade classroom in 1989 after more than a decade of teaching in a university faculty of education in order to teach in the changing ecologies of classrooms (with problem-solving approaches in mathematics and literature-based approaches in reading) and to research from the…

In part 1 of this article Zack and Reid offered two examples of students operating with good-enough understandings in mathematics, and related their understandings to features of good-enough understanding identified by Mackey (I997) in the context of reading. Mackey contends that the ability to read further, on the basis of a very imperfect…

This book contains a collection of fraction lessons that support curriculum and instruction. The goals of the lessons are to give all students the chance to: (1) extend their understanding of the place value system to include decimals; (2) learn how decimals relate to fractions; (3) represent, read, and interpret decimal numerals; (4) compare…

This activity, part of the NASA CONNECT Series, is designed to help students in grades 6-8 learn how NASA engineers develop experimental aircraft. It consists of an overview of the program, details of the hands-on activity, a series of blackline master student worksheets, teacher materials, and a guide to further resources. (MM)

Since the advent of reform in mathematics education, writing in mathematics courses has taken on an increasingly important role. This paper discusses what one teacher has done over time to incorporate writing into calculus classes and how the techniques employed have evolved over time. The focus is on journal writing, extended exercises, and…

In this paper we report an analysis of a teaching sequence in which Grade 11 students were asked to produce some graphs corresponding to the relationship between time and distance of a cylinder moving up and down an inclined plane. The students were also asked to carry out the experience using a TI 83+ graphic calculator equipped with a sensor,…

This collection of lesson plans and activities for students aged 9-11 years is based on a science curriculum developed by a group of Caribbean nations. The activities pertain to topics such as place value, prime and composite numbers, the sieve of Eratosthenes, square numbers, factors and multiples, sequences, averages, geometry, symmetry,…

Puzzles, games, and activities provide perfect opportunities for students to work in groups, interact, communicate with each other, and discuss strategies. The activities, games, and puzzles contained in this book are designed to help students learn mathematics in a fun yet challenging way. The activities are designed to encourage students to…

This book explores the ways in which fourth-grade students use story, metaphor, and language to develop mathematical thinking skills and strategies. Replete with children's stories and illustrations, the book looks at children as sense-makers, storytellers, language creators, and problem-posers. It focuses on how to create a classroom community…

This paper examines how self-evaluation strategies contribute to helping students take control over their own learning processes. In addition to examining the role of self-evaluation when a student takes on and exercises control over an activity in the classroom, this paper takes into account homework assignments and the role of parents. Subjects…

Why should your school have a Family Math Night?: (1) Help students learn essential math concepts; (2) Give parents a chance to serve as models of motivation, persistence and competence; and (3) Promote math success in a supportive setting. With its step-by-step directions and suggestions for both teachers and parents, this book takes the worry…