This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the...
This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of m...
This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: what is the nature of arithmetic expertise? and how can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational and neurological psychology; mathematics education; and special education, offer theoretical perspectives amd empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic...
This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of m...
This volume assembles papers on the subject of teaching Elementary School mathematics. It includes case studies and teaching from different perpectives in order to help the teacher put the lessons and subject across well.
This volume assembles papers on the subject of teaching Elementary School mathematics. It includes case studies and teaching from different perpective...
Revised and expanded edition for the North American market (first edition published in 1997 by Open University Press). The first book to provide direct evidence for the relative effectiveness of "traditional" and "reform" teaching methods in mathematics.
Revised and expanded edition for the North American market (first edition published in 1997 by Open University Press). The first book to provide direc...
This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to address a number of significant issues in the mathematical development of young children.
This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to addres...
This book contributes to an ongoing effort to establish a research basis for the introduction of algebraic concepts and notation in elementary school--an area of studies that has come to be known as Early Algebra. It provides a rationale for the introduc
This book contributes to an ongoing effort to establish a research basis for the introduction of algebraic concepts and notation in elementary school-...
This book explains and demonstrates the teaching strategy of asking learners to construct their own examples of mathematical objects. The authors show that the creation of examples can involve transforming and reorganizing knowledge and that, although this is usually done by authors and teachers, if the responsibility for making examples is transferred to learners, their knowledge structures can be developed and extended. A multitude of examples to illustrate this is provided, spanning primary, secondary, and college levels. Readers are invited to learn from their own past experience...
This book explains and demonstrates the teaching strategy of asking learners to construct their own examples of mathematical objects. The authors show...
This book reveals the development of students' understanding of statistical literacy. It provides a way to "see" student thinking and gives readers a deeper sense of how students think about important statistical topics.
This book reveals the development of students' understanding of statistical literacy. It provides a way to "see" student thinking and gives readers a ...
This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure,...
This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the startin...
