This handbook presents the state-of-the art scholarship on theoretical frames, mathematical content, learning environments, pedagogic practices, teacher professional learning, and policy issues related to the development and use of digital resources in mathematics education. With the advent of more and more open access digital resources, teachers…

Offering first-hand insights from the early originators of Cooperative Learning (CL), this volume documents the evolution of CL, illustrating its historical and contemporary research, and highlights the personal experiences which have helped inspire and ground this concept. Each of the chapters in "Pioneering Perspectives in Cooperative…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

The transition from primary to secondary school can often be a difficult time for children, and managing the transition smoothly has posed a problem for teachers at both upper primary and lower secondary level. At a time when "childhood" recedes and "adulthood" beckons, the inequalities between individual children can widen,…

To achieve the vision of mathematics set forth in "Crossroads" ("AMATYC," 1995), students must experience mathematics as a sensemaking endeavor that informs their world. Embedding the study of mathematics into the real world is a challenge, particularly because it was not the way that many of us learned mathematics in the first place. This article…

This guide is intended to stimulate professional reflection, dialogue and debate about mathematics and how to improve it. It draws together themes, features and characteristics of effective improvement in mathematics and descriptions of good practice. It offers a reference point for staff and teachers who are working together to improve…

This study was undertaken in order to better understand prospective elementary school teachers' motivations for working with fractions before and after taking a course designed to deepen their understanding of mathematics, as well as what instructional practices might be related to any changes detected in their motivations. Eighty-five education…

This article presents three in-depth case studies focused on supporting students with learning challenges to learn math strategically. Participants were three eighth-grade students enrolled in a learning assistance classroom who were of at least average intelligence but who were performing significantly below grade level in mathematics. These case…

This textbook is an analysis of the system of mathematical instruction which has been steadily pursued at the United States Military Academy over a quarter of a century and which has given to that institution its celebrity as a school of mathematical science. The book covers logic as science and art, mathematical science, and the utility of…

Montessori(TM) Learning Software programs are purportedly built upon the core concept of the Montessori philosophy, that a major path to intellectual development is through a child's hands and senses. Math by Colors, recommended for ages 4 to 8, encourages hands-on discovery by allowing the child to choose the right color from the assembled paint…

Demonstrated is the use of BASIC computer programs to simulate a binomial experiment and test a simple statistical hypothesis. The theoretical results are reached with the third programing attempt. All results, as well as computer programs, are included. (JJK)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

Many teacher educators have recently implemented inquiry based instructional practices into their programs (Crawford & Deer, 1993 ; Foss & Kleinsasser, 1996 ; Klein, 1996 , 1997 , 1998 , 2001 ; Schuck, 1996 ; Tillema & Knol, 1997). In mathematics education the promise has been that pre-service teachers' socialization into new interactive…

Details the planning and the outcomes for an undergraduate seminar course that introduced students to journal articles and graduate level texts pertaining to theoretical computer science. Included are useful guides for students that provide basic techniques for reading mathematical papers, and that lead students through the process of generating…

This book is based on the underlying philosophy that mathematics learning at the elementary level should be active. Children should learn through meaningful hands-on activities with manipulative materials, pictures and technology. More than 400 pupil activities and suggestions for designing more activities are described. Because mathematics is to…