This book was written to help Pre-K through 4th educators recognize the complexities of the mathematics young children are expected to learn, and to identify what is required for children to develop an understanding of number concepts.

The importance of learning mathematics is constantly stressed by educationalists and employers alike. Yet survey after survey shows that large numbers of children leave school lacking both competence and interest in mathematics. What is going wrong and what should be done about it? In Children and Number Martin Hughes proposes a new perspective on children's early attempts to understand mathematics. He describes the surprisingly substantial knowledge about number which children acquire naturally before they start school, and contrasts this with the difficulties presented by the formal written symbolism of mathematics in the classroom. He argues that children need to build links between their informal and their formal understanding of number, and shows what happens when these links are not made. Children and Number describes many novel ways in which young children can be helped to learn about number. The author shows that the written symbols children often invent for themselves are more meaningful to them than the symbols that they are taught. He presents simple number games for introducing children to mathematical symbols in ways they can appreciate and understand. Dr. Hughes also describes how the computer language LOGO can be adapted for young children, and shows the dramatic effect that LOGO can have on their mathematical understanding.

For some time now, the study of cognitive development has been far and away the most active discipline within developmental psychology. Although there would be much disagreement as to the exact proportion of papers published in developmental journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholary books to be devoted to work in cognitive development is especially appropriate at this time. The Springer Series in Cognitive Development contains two basic types of books, namely, edited collections of original chapters by several authors, and original volumes written by one author or a small group of authors. The flagship for the Springer Series is a serial publication of the "advances" type, carrying the subtitle Progress in Cognitive Development Research. Volumes in the Progress sequence are strongly thematic, in that each is limited to some well-defined domain of cognitive developmental research (e. g. , logical and mathematical development, semantic development). All Progress volumes are edited collections. Editors of such books, upon consultation with the Series Editor, may elect to have their works published either as contributions to the Progress sequence or as separate volumes. All books written by one author or a small group of authors will be published as separate volumes within the series. is being used in the selec A fairly broad definition of cognitive development tion of books for this series.

The authors report the results of some half dozen years of research into when and how children acquire numerical skills. They provide a new set of answers to these questions, and overturn much of the traditional wisdom on the subject. Table of Contents: 1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young Child Represent? 6. How Do Young Children Obtain Their Representations of Numerosity? 7. The Counting Model 8. The Development of the How-To-Count Principles 9. The Abstraction and Order-Irrelevance Counting Principles 10. Reasoning about Number 11. Formal Arithmetic and the Young Child's Understanding of Number 12. What Develops and How Conclusions References Index Reviews of this book: The publication of this book may mark a sea change in the way that we think about cognitive development. For the past two decades, the emphasis has been on young children's limitations... Now a new trend is emerging: to challenge the original assumption of young children's cognitive incapacity. The Child's Understanding of Number represents the most original and provocative manifestation to date of this new trend. --Contemporary Psychology Reviews of this book: Here at last is the book we have been waiting for, or at any rate known we needed, on the young child and number. The authors are at once sophisticated in their own understanding of number and rich in psychological intuition. They present a wealth of good experiments to support and guide their intuitions. And all is told in so simple and unalarming a manner that even the most pusillanimous will be able to read with enjoyment. --Canadian Journal of Psychology

Provides ideas for helping parents to develop their child's mathematical awareness from babyhood through preschool.

"A multimedia professional learning resource"--Cover.

How do we love numbers? Let us count the ways: They're on street signs and bus stops, featured on phones, thermometers, chalkboards, and scales. They show the time and the date, and help us to measure distance, sizing, and so much more. This spirited picture book by beloved author-illustrator Taro Gomi will charm and inform the youngest of readers, offering them a unique—and useful—look at a key concept we count on. Plus, this is the fixed format version, which looks almost identical to the print edition.

Written by a respected internationally known math professional development professional and a language arts specialist this book will provide a teaching and learning resource book for teachers of children in Kindergarten to Grade 2 (4-8 year olds) that will help all children learn important mathematics based on the Common Core Standards of Mathematics and English Language Arts and reflects the knowledge and skills that young people need for success in college and careers. Rita Janes and Elizabeth Strong are well versed in the theoretical underpinnings of using Children's Literature to teach young children number sense through investigations and problem solving tasks. The book is based on the learning standards and practices in both the CCSS-M and the CCSS-LA. This very practical book will support teachers in integrating children's literature with meaningful mathematical learning experiences and provide a balance of procedural knowledge and understanding.

When eight-year-old Irene is removed from her First Nations family to live in a residential school she is confused, frightened, and terribly homesick. She tries to remember who she is and where she came from, despite the efforts of the nuns who are in charge at the school and who tell her that she is not to use her own name but instead use the number they have assigned to her. When she goes home for summer holidays, Irene's parents decide never to send her and her brothers away again. But where will they hide? And what will happen when her parents disobey the law? Based on the life of co-author Jenny Kay Dupuis’ grandmother, I Am Not a Number is a hugely necessary book that brings a terrible part of Canada’s history to light in a way that children can learn from and relate to.