The Child's Understanding of Number

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Author :
Publisher : Harvard University Press
ISBN 13 : 0674037537
Total Pages : 278 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis The Child's Understanding of Number by : Rochel GELMAN

Download or read book The Child's Understanding of Number written by Rochel GELMAN and published by Harvard University Press. This book was released on 2009-06-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Child’s Understanding of Number

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Author :
Publisher : Harvard University Press
ISBN 13 : 9780674116375
Total Pages : 284 pages
Book Rating : 4.1/5 (163 download)

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Book Synopsis The Child’s Understanding of Number by : Rochel Gelman

Download or read book The Child’s Understanding of Number written by Rochel Gelman and published by Harvard University Press. This book was released on 1986 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Children’s Counting and Concepts of Number

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461237548
Total Pages : 448 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Children’s Counting and Concepts of Number by : Karen C. Fuson

Download or read book Children’s Counting and Concepts of Number written by Karen C. Fuson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Children's Fractional Knowledge

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Publisher : Springer Science & Business Media
ISBN 13 : 144190591X
Total Pages : 379 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Children's Fractional Knowledge by : Leslie P. Steffe

Download or read book Children's Fractional Knowledge written by Leslie P. Steffe and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.

Perceptual and Cognitive Development

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Publisher : Academic Press
ISBN 13 : 0080538622
Total Pages : 473 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Perceptual and Cognitive Development by : Rochel Gelman

Download or read book Perceptual and Cognitive Development written by Rochel Gelman and published by Academic Press. This book was released on 1996-06-17 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perceptual and Cognitive Development illustrates how the developmental approach yields fundamental contributions to our understanding of perception and cognition as a whole. The book discusses how to relate developmental, comparative, and neurological considerations to early learning and development, and it presents fundamental problems in cognition and language, such as the acquisition of a coherent, organized, and shared understanding of concepts and language. Discussions of learning, memory, attention, and problem solving are embedded within specific accounts of the neurological status of developing minds and the nature of knowledge. - Research advances and theoretical reorientations are updated in the Second Edition; the revision focuses more attention on the cognitive and biological sciences and neuroscience - Illustrates how the developmental approach can yield fundamental contributions to our understanding of perception and cognition as a whole - Discussions of learning, memory, and attention permeate individual chapters

Transforming the Workforce for Children Birth Through Age 8

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Author :
Publisher : National Academies Press
ISBN 13 : 0309324882
Total Pages : 587 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Transforming the Workforce for Children Birth Through Age 8 by : National Research Council

Download or read book Transforming the Workforce for Children Birth Through Age 8 written by National Research Council and published by National Academies Press. This book was released on 2015-07-23 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

Children's Mathematics

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Author :
Publisher : Heinemann Educational Books
ISBN 13 : 9780325052878
Total Pages : 0 pages
Book Rating : 4.0/5 (528 download)

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Book Synopsis Children's Mathematics by : Thomas P. Carpenter

Download or read book Children's Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Understanding Children's Play

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Author :
Publisher : Nelson Thornes
ISBN 13 : 9780748739707
Total Pages : 204 pages
Book Rating : 4.7/5 (397 download)

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Book Synopsis Understanding Children's Play by : Jennie Lindon

Download or read book Understanding Children's Play written by Jennie Lindon and published by Nelson Thornes. This book was released on 2001 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Children's Play offers a full exploration of children's play from babyhood through to the early years of primary school. It explores how their play is shaped by time and place and supports early years practitioners and playworkers.

Adding Parents to the Equation

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Publisher : Rowman & Littlefield
ISBN 13 : 1475833598
Total Pages : 210 pages
Book Rating : 4.4/5 (758 download)

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Book Synopsis Adding Parents to the Equation by : Hilary Kreisberg

Download or read book Adding Parents to the Equation written by Hilary Kreisberg and published by Rowman & Littlefield. This book was released on 2019-05-15 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you frustrated or confused by the way math is taught to your child today? Are you tired of trying to figure out what your child is doing when they draw visuals in math? Do you want to feel smarter than a 5th grader again? Well, this book is for you. We have taken the major parts of the 21st Century mathematics curriculum and rewritten it in an easy-to-read format. This book breaks down all the educational jargon so you can finally communicate mathematically with your child again. No matter whether your child is 3 months old or 10 years old, this book will give you a stronger understanding of the how, the why, and the what behind the shifts in math education today.

Understanding Children′s Books

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Publisher : SAGE
ISBN 13 : 085702955X
Total Pages : 146 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Understanding Children′s Books by : Prue Goodwin

Download or read book Understanding Children′s Books written by Prue Goodwin and published by SAGE. This book was released on 2008-06-24 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children′s books play a vital role in education, and this book helps you to choose books that have the most to offer young children. Each chapter reflects on a different theme or genre and their role in educational settings, and recommends ten ′must reads′ within each one. The themes covered include: - books for babies - literature for the very young - narrative fiction - books in translation - poetry - picture books - graphic texts. Early years professionals, childcare professionals and teachers working from nursery to Key Stage 3 will find this book a fascinating and useful resource.

Children's Understanding of Mathematics: 11-16

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Publisher :
ISBN 13 : 9780719537721
Total Pages : 231 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Children's Understanding of Mathematics: 11-16 by : Kathleen M. Hart

Download or read book Children's Understanding of Mathematics: 11-16 written by Kathleen M. Hart and published by . This book was released on 1981 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Making Numbers

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Publisher :
ISBN 13 : 9780198375616
Total Pages : 112 pages
Book Rating : 4.3/5 (756 download)

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Book Synopsis Making Numbers by : Rose Griffiths

Download or read book Making Numbers written by Rose Griffiths and published by . This book was released on 2016-09-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Numbers shares exemplars of good practice drawing on the latest research on using manipulatives to develop understanding of arithmetic. Focusing initially on the teaching of numbers from 1-12, Making Numbers progresses to 200 and beyond, including ideas for teaching partitioning, arrays, and times tables.

Big Ideas of Early Mathematics

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Publisher : Pearson Higher Ed
ISBN 13 : 0133259951
Total Pages : 209 pages
Book Rating : 4.1/5 (332 download)

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Book Synopsis Big Ideas of Early Mathematics by : The Early Math Collaborative- Erikson Institute

Download or read book Big Ideas of Early Mathematics written by The Early Math Collaborative- Erikson Institute and published by Pearson Higher Ed. This book was released on 2013-04-25 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.

Using Mathematics to Understand the World

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Publisher : Routledge
ISBN 13 : 9780367211707
Total Pages : 172 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Using Mathematics to Understand the World by : Terezinha Nunes

Download or read book Using Mathematics to Understand the World written by Terezinha Nunes and published by Routledge. This book was released on 2021 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Mathematics to Understand the World offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world.

Children's Understanding

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Author :
Publisher : Psychology Press
ISBN 13 : 1317766644
Total Pages : 546 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Children's Understanding by : Graeme S. Halford

Download or read book Children's Understanding written by Graeme S. Halford and published by Psychology Press. This book was released on 2014-02-25 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work argues that cognitive development is experience driven, and processes entailed in acquiring information about the world are analyzed based on recent models of learning and induction. The way information is represented and accessed when performing cognitive tasks is considered paying particular attention to the implications of Parallel Distributed Processing (PDP) models for cognitive development. The first half of the book contains analyses of human reasoning processes (drawing on PDP models of analogy), development of strategies, and task complexity -- all based on aspects of PDP representations. It is proposed that PDP representations become more differentiated with age, so more vectors can be processed in parallel, with the result that structures of greater complexity can be processed. This model gives an account of previously unexplained difficulties in children's reasoning, including some which were influential in stage theories. The second half of the book examines processes entailed in some representative cognitive developmental tasks, including transitive inference, deductive inference (categorical syllogisms), hypothesis testing, learning set acquisition, acquisition and transfer of relational structures, humor, hierarchical classification and inclusion, understanding of quantity, arithmetic word problems, algebra, conservation, mechanics, and the concept of mind. Process accounts of tasks are emphasized, based on applications of recent developments in cognitive science.

Children's Mathematics

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Author :
Publisher : Paul Chapman Educational Publishing
ISBN 13 : 9781412922838
Total Pages : 286 pages
Book Rating : 4.9/5 (228 download)

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Book Synopsis Children's Mathematics by : Elizabeth Carruthers

Download or read book Children's Mathematics written by Elizabeth Carruthers and published by Paul Chapman Educational Publishing. This book was released on 2006-08-30 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering practical guidance to teachers and novice teachers the authors explore a number of ways of helping children make sense of mathematics and suggest alternatives to the excessive use of worksheets.

Understanding and Teaching Primary Mathematics

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Author :
Publisher : Routledge
ISBN 13 : 1000173763
Total Pages : 349 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Understanding and Teaching Primary Mathematics by : Tony Cotton

Download or read book Understanding and Teaching Primary Mathematics written by Tony Cotton and published by Routledge. This book was released on 2020-09-02 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an experienced teacher and teacher educator with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This fourth edition has been fully updated to reflect the latest research developments and initiatives in the field, including a brand-new chapter on ‘Mastery and mathematics’ and ‘The Singapore approach’ which reflects the current international interest in these approaches to learning and teaching mathematics. Extra features also include helpful callouts to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike.