The Child's Understanding of Number PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Child's Understanding of Number PDF full book. Access full book title The Child's Understanding of Number by Rochel GELMAN. Download full books in PDF and EPUB format.
Author: Rochel GELMAN
Publisher: Harvard University Press
ISBN: 0674037537
Category : Psychology
Languages : en
Pages : 278
Get Book Here
Book Description
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
Author: Rochel GELMAN
Publisher: Harvard University Press
ISBN: 0674037537
Category : Psychology
Languages : en
Pages : 278
Get Book Here
Book Description
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
Author: Rochel Gelman
Publisher: Harvard University Press
ISBN: 9780674116375
Category : Education
Languages : en
Pages : 284
Get Book Here
Book Description
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.
Author: Karen C. Fuson
Publisher: Springer Science & Business Media
ISBN: 1461237548
Category : Psychology
Languages : en
Pages : 448
Get Book Here
Book Description
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.
Author: Graeme S. Halford
Publisher: Psychology Press
ISBN: 1317766644
Category : Psychology
Languages : en
Pages : 546
Get Book Here
Book Description
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.
Author: Elizabeth Carruthers
Publisher: Paul Chapman Educational Publishing
ISBN: 9781412922838
Category : Business & Economics
Languages : en
Pages : 286
Get Book Here
Book Description
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.
Author: Tony Cotton
Publisher: Routledge
ISBN: 1000173763
Category : Education
Languages : en
Pages : 349
Get Book Here
Book Description
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.
Author: Thomas P. Carpenter
Publisher: Routledge
ISBN: 0805811354
Category : Fractions
Languages : en
Pages : 383
Get Book Here
Book Description
First Published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Rodney R. Cocking
Publisher: Routledge
ISBN: 113656263X
Category : Education
Languages : en
Pages : 330
Get Book Here
Book Description
The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309132843
Category : Education
Languages : en
Pages : 462
Get Book Here
Book Description
Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.
Author: Olivia N. Saracho
Publisher: Routledge
ISBN: 1136897011
Category : Education
Languages : en
Pages : 482
Get Book Here
Book Description
The Handbook of Research on the Education of Young Children is the essential reference on research on early childhood education throughout the world. This singular resource provides a comprehensive overview of important contemporary issues as well as the information necessary to make informed judgments about these issues. The field has changed significantly since the publication of the second edition, and this third edition of the handbook takes care to address the entirety of vital new developments. A valuable tool for all those who work and study in the field of early childhood education, this volume addresses critical, cutting edge research on child development, curriculum, policy, and research and evaluation strategies. With a multitude of new and updated chapters, The Handbook of Research on the Education of Young Children, 3rd Edition makes the expanding knowledge base related to early childhood education readily available and accessible.
