This practical book draws on Ronit Bird's teaching experience to create detailed strategies and teaching plans for students aged 9-16 who have difficulties with number. Activities and games are used to teach numeracy skills in these key areas: number components, bridging, multiplication, division and reasoning strategies. New to this edition: (1)…

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--attribute, comparison, change, and pattern--with an…

In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…

Now in a second edition, the award-winning "The Trouble with Maths" offers important insights into the often confusing world of numeracy. By looking at learning difficulties in maths from several perspectives, including the language of mathematics, thinking styles and the demands of individual topics, this book offers a complete overview of the…

This book introduces case studies in mathematics education that provide teachers with opportunities to look at someone else's teaching in an objective way and analyze their own teaching with a critical eye. In addition, this book addresses many of the topics considered the hardest to teach and learn, including place value, number sentences, basic…

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…

This book offers schools an assessment instrument to identify and help children who under-achieve in early numeracy. The book focuses on the Learning Framework in Number (LFIN) which guides the assessment and teaching. The LFIN consists of 11 key aspects of early number development including identifying the stages of early arithmetical learning,…

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…

This book sets out a constructivist, inquiry-based approach to instruction. The approach builds on clear understandings of children's current levels of knowledge, where their learning should progress to, and the means by which children learn early numeracy topics. The methods presented in this book have been used extensively by practitioners in…

This book is designed to help adults gain the range of math skills they need to succeed in life and work and on standardized tests including the GED. It is expected to help students overcome math anxiety, discover math as interesting and purposeful, and develop good number sense. Lessons are organized around four strands: (1) skill lessons…

This book offers ideas to enrich instruction and help teachers explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, the symmetries, patterns, processes, paradoxes, and surprises that have facilitated generations of great thinkers are revealed. Activities include: (1) The Beauty in…

Arithmetic is the major focus of elementary mathematics instruction. This book offers lessons for developing children's numerical understanding and skills. The lessons help children learn to estimate, understand numerical relationships, develop number sense, compute mentally and with paper and pencil, and use arithmetic as a tool to solve…

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…

Standards in numeracy are a constant concern to educational policy-makers. However, why are differences in arithmetical performance so marked? In "Individual Differences in Arithmetic", Ann Dowker seeks to provide a better understanding of why these differences in ability exist, encouraging a more informed approach to tackling numeracy…

In order for schools to help students with learning difficulties and disabilities improve their achievement in mathematics, educators, researchers, practitioners, and policymakers need a better understanding of the evidence based on what is behind these students' difficulties in learning math. That is just what they will get with this landmark…