Originally published as a special issue of the "Middle School Journal," this book presents integrative curriculum as a foundational element of the middle school. By addressing the current gap in literature on curriculum integration in the middle grades, this text explores how learning can be organized around authentic concepts or…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

Clearly written and well organized, this book shows how to apply the principles of universal design for learning (UDL) across all subject areas and grade levels. The editors and contributors describe practical ways to develop classroom goals, assessments, materials, and methods that use UDL to meet the needs of all learners. Specific teaching…

Content and Language Integrated Learning has received a strong tailwind in European educational and language policies. It is on the verge of becoming a mainstream phenomenon. However, an overly speedy implementation of "CLIL for all" might bear a number of risks for all groups of stakeholders. The purpose of this book is to link the…

Teachers try to help their students learn. But why do they make the particular teaching choices they do? What resources do they draw upon? What accounts for the success or failure of their efforts? In "How We Think", esteemed scholar and mathematician, Alan H. Schoenfeld, proposes a groundbreaking theory and model for how we think and act in the…

For middle and high school teachers of mathematics and science, this book is filled with examples of instructional strategies that address students' readiness levels, interests, and learning preferences. It shows teachers how to formatively assess their students by addressing differentiated learning targets. Included are detailed examples of…

This book discusses both the philosophy of mathematics and of mathematics education. The first part is a critique of existing approaches and a new philosophy of mathematics. Chapters include: (1) "A Critique of Absolutist Philosophies of Mathematics," (2) "The Philosophy of Mathematics Reconceptualized," (3) "Social…

This book, in three parts, presents a set of studies that: (1) explores some significant questions about mathematics teaching and learning and (2) illustrates new methodologies for the analysis of new kinds of questions about mathematics education. The data from the Second International Mathematics Study (SIMS) are the starting point for all of…

This book is a compilation of recent research on the development of multiplicative concepts. The sections and chapters are: (1) Theoretical Approaches: "Children's Multiplying Schemes" (L. Steffe), "Multiplicative Conceptual Field: What and Why?" (G. Vergnaud), "Extending the Meaning of Multiplication and Division" (B. Greer); (2) The Role of the…

The goal of books in this series is to present work that is on the growing tip of research in cognitive development. The theme of this volume is children's logical and mathematical cognition, a field in which Piaget's influence has been extensive. In the first of the six chapters, Acredolo presents a new theory of the cognitive bases for…

This book explores what makes mathematics possible as well as what makes mathematics difficult. Included is a discussion of the definition of mathematics, mathematics in language, the meaning of numbers, calculating and measuring, notation, numbers in space, and the best ways to learn mathematics. Historical information and practical examples are…

What is meant when people say that "learning environments are increasingly complex"? What is known about the cognitive processing that occurs during complex learning? How can educators provide effective instructional support for students who must learn and apply complex knowledge? These questions, and related issues, have fascinated educators and…

This book has a two-fold purpose. First, it was intended as a description of the development and testing of a primary school fraction program, presently in practice. This project seeks to develop a realistic alternative to the teaching and learning of fractions. The second purpose was to produce a theory on the teaching and learning of fractions…

Provides chapter six from V. V. Davydov's "Problems of Developmental Teaching." Discusses research done on the link between learning activity theory and the structuring of elementary level curricula. Reviews teaching methods for mathematics and the Russian language based on Davydov's theories. (CH)

This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…