Understanding Mathematics for Young Children

A Guide for Foundation Stage and Lower Primary Teachers

Author: Derek Haylock,Anne D Cockburn

Publisher: SAGE

ISBN: 1446204979

Category: Education

Page: 272

View: 3662

'This book is the ideal way to dispel some of the fears which surround the subject area of mathematics and should be an essential part of the professional development library of every early years setting provider for children aged three and over' - Early Years Update 'A book that is both readable and rigorous. [Its] guidance will help teachers to make mathematics meaningful to young children. Throughout the book connections are made which relate language, symbols, concrete materials and pictures to the key ideas that are central to effective learning for the 21st century. This book will help teachers gain a depth of understanding that will make them confident in engaging children with real mathematical thinking' - Dr J.E. Anghileri, Senior Lecturer in Mathematics and Mathematics Education, Faculty of Education, University of Cambridge 'This is an updated version of a classic text which has been a best -seller among teachers and student teachers for many years. Being always strongly grounded in the classroom, it develops in a non-intimidating way teachers' own understanding of the mathematics they are teaching. Many insightful examples of children's thinking and appropriate activities help to illustrate the points. This is an essential book for teachers of Early Years and Key Stage 1' - Margaret Brown, Professor of Mathematics Education, King's College London, UK This is a fully revised version of the authors' successful and much-used book, Understanding Mathematics in the Lower Primary Years, updated to include the current Foundation Stage Curriculum and the new Primary Framework in England. The authors empower the reader to have a clearer understanding of the mathematical ideas behind the material they use in the classroom. They also show how children can be helped to develop an understanding of mathematics for themselves, rather than just learning recipes and routines with little meaning. Major themes are: - Understanding through making connections - Equivalence and transformation - Using and applying mathematics It is written for teachers and teacher trainees engaged in teaching mathematics to children aged 3 to 8 years. It is an essential student text and professional reference work for all teachers of children aged 3 to 8 years. Dr Derek Haylock is an education consultant and author, working in the field of mathematics education. His book Mathematics Explained for Primary Teachers has been a leader in the field for many years, with a third edition published in 2006. Dr Anne Cockburn is a Reader in the School of Education and Lifelong Learning at the University of East Anglia, Norwich. Watch the authors talking about their book here: YouTube

Understanding Mathematics in the Lower Primary Years

A Guide for Teachers of Children 3 - 8

Author: Derek Haylock,Anne D Cockburn

Publisher: SAGE

ISBN: 9780761941040

Category: Education

Page: 238

View: 8096

New Edition of Best Seller! This is a fully revised and updated edition of the authors' successful and much-used book and was written for those who wish to have a clearer understanding of the mathematical ideas behind the material they use in the classroom.

Understanding Mathematics in the Lower Primary Years

Author: Derek Haylock,Anne D Cockburn

Publisher: Paul Chapman Educational Publishing


Category: Education

Page: 208

View: 1418

`There have been few mathematical texts which cause readers to smile, but one of the great strengths of this book is the consistent good humour. Hiding in the explanations of more abstract concepts are unexpected images, such as the "two thousand sets of zero elephants placed inside these brackets [ ]", which surprise and entertain, and so render difficult ideas memorable' - Mathematics Education Review This is a substantially revised and expanded edition of the authors’ earlier book, Understanding Early Years Mathematics. It is written for teachers and student-teachers working with children aged four to eight year olds. It provides them with a clearer understanding of the mathematical material they d

Experiences in Math for Young Children

Author: Rosalind Charlesworth

Publisher: Cengage Learning

ISBN: 1111301506

Category: Education

Page: 528

View: 7217

EXPERIENCES IN MATH FOR YOUNG CHILDREN, 6th Edition, focuses on the developmental sequence of mathematics for young children and its integration with other content areas. For each mathematics concept presented, Charlesworth provides a picture of how the concept might be incorporated into music and movement, language arts, visual arts, science, and social studies for children from birth through age eight. Early education students learn about problem solving as the major means for constructing concepts with a balance of naturalistic, informal, and structured activities. Students are also prepared to put concepts into action with the assessment, instructional, and evaluation strategies provided in each unit. Finally, the text provides specific information about active approaches to mathematics, materials and resources for setting up learning centers, guidance on parental involvement, and Internet resources. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Engaging Young Children in Mathematics

Standards for Early Childhood Mathematics Education

Author: Douglas H. Clements,Julie Sarama,Ann-Marie DiBiase

Publisher: Routledge

ISBN: 0805842101

Category: Education

Page: 474

View: 9449

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Wie kleine Kinder schlau werden

selbständiges Lernen im Alltag

Author: John Caldwell Holt

Publisher: N.A

ISBN: 9783407228550


Page: 232

View: 6493

Ausgehend von der Beobachtung des kindlichen Spielens erläutert der Autor, wie Kinder denken und lernen.

Math and Science for Young Children

Author: Rosalind Charlesworth,Karen Lind

Publisher: Delmar Pub

ISBN: 9781418001490

Category: Education

Page: 658

View: 3240

Math and Science for Young Children, 5e is a unique reference that focuses on the integration of math and science with the other important areas of child development during the crucial birth through eight age range. It also carefully addresses the ever changing and significant national standards of the following organizations: The National Association for the Education of Young Children (NAEYC), National Council of Teachers of Math (NCTM), National Science Teachers Association (NSTA), American Association for the Advancement of Science (AAAS), and the National Research Council (NRC). A valuable resource for the student learner, working professional, as well as the involved parent, Math and Science for Young Children, 5e is the most current volume of information of its kind available on the market today.

Mathematical and Analogical Reasoning of Young Learners

Author: Lyn D. English

Publisher: Routledge

ISBN: 1135638705

Category: Education

Page: 236

View: 1707

Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade. The multifaceted analysis of young children's development of mathematical and analogical reasoning focuses on individual learners, their learning environments, and the interaction between the two. The multidisciplinary team of authors present multiple perspectives and multiple methodologies, and provide valuable information on organizing and sustaining interdisciplinary and cross-cultural inquiry. Key issues addressed include: *the relationship between mathematical and analogical reasoning; *how changes in children's reasoning relate to the implicit instruction they receive in their classrooms; *analyses of the participating teachers' knowledge, beliefs, and practices with respect to mathematical and analogical reasoning of young learners; and *ways in which we might promote development of mathematical and analogical reasoning in young children. This volume is highly relevant for mathematics educators, researchers in mathematics education, educational psychologists, early childhood teachers, and others interested in mathematical development of young children, in particular, the development of their reasoning processes.

Teaching for Understanding

What it is and how to do it

Author: Douglas P Newton

Publisher: Routledge

ISBN: 1136647910

Category: Education

Page: 192

View: 8942

First published in 2012. Routledge is an imprint of Taylor & Francis, an informa company.

Forging Connections in Early Mathematics Teaching and Learning

Author: Virginia Kinnear,Mun Yee Lai,Tracey Muir

Publisher: Springer

ISBN: 9811071535

Category: Education

Page: 284

View: 9729

This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.

Der Zahlenteufel

Ein Kopfkissenbuch für alle, die Angst vor der Mathematik haben

Author: Hans Magnus Enzensberger

Publisher: N.A

ISBN: 9783423625937


Page: 264

View: 9133

Supporting Early Mathematical Development

Practical Approaches to Play-Based Learning

Author: Caroline McGrath

Publisher: Routledge

ISBN: 1136998446

Category: Education

Page: 264

View: 1495

Supporting Early Mathematical Development is an essential text for current Early Years practitioners and students, offering an excellent blend of theory and practice that will enable you to provide successful mathematical education for children from birth to eight years old. Charting the delivery of mathematical development in Playgroups, Children's Centres, Nurseries and Primary Schools, it forges links between current practice and fundamental Early Years principles and makes suggestions for creating effective pedagogies in maths teaching. Promoting mathematical development through play-based learning, this book presents: a wealth of practical multi-sensory teaching strategies instructional methodologies activity ideas incorporating play, books, songs, cookery and the outdoors examples of children's work advice on translating theory into practice questions for reflective practice. Throughout the book, Caroline McGrath breaks down the complexity of teaching and learning mathematics into simple steps and guides readers through possible gaps in their knowledge, bringing fresh enthusiasm to teaching mathematics. This is an invaluable resource for practitioners and trainee teachers wishing to strengthen their mathematical teaching and professional practice, or for students on a wide range of Early Years courses.

Mathematics in the Early Years

Author: Juanita V. Copley

Publisher: National Council of Teachers of

ISBN: 9780873534697

Category: Education

Page: 230

View: 9299

This thought-provoking material shows that although children think differently from adults and although children construct their own informal mathematics, they are capable of surprisingly complex forms of mathematical thinking and learning. The book presents historical, theoretical and social pictures of early childhood mathematics; discusses the mathematics content essential to the young child's understanding and zooms in on mathematics for the young child from the panoramic view of mathematics for everyone.

Entwicklungspsychologie im Kindes- und Jugendalter

Author: Robert Siegler,Nancy Eisenberg,Judy DeLoache,Jenny Saffran

Publisher: Springer-Verlag

ISBN: 3662470284

Category: Psychology

Page: 688

View: 8830

Wer dieses Standardwerk liest, erhält einen umfassenden Überblick über einschlägige Theorien, moderne Forschungsmethoden und neueste Erkenntnisse zur Kindes- und Jugendentwicklung. Die einfache, klare Sprache sowie zahlreiche Illustrationen und Fallbeispiele machen die Lektüre des Lehrbuchs für Studierende der Entwicklungspsychologie zum echten Vergnügen. Tabellen, Schaubilder, Zusammenfassungen und Praxisbeispiele helfen dabei, den Stoff zu verstehen, zu strukturieren und zu verinnerlichen. Die Inhalte des Werkes gehen dabei teilweise deutlich über den klassischen Lehrstoff für Bachelor-Prüfungen hinaus und vermitteln ein vertieftes Verständnis dafür, wie die Entwicklung in unterschiedlichen Bereichen zusammenhängt, von welchen sozialen und gesellschaftlichen Rahmenbedingungen sie abhängt und wie die Entstehung von Problemen verhindert werden kann. Die Auseinandersetzung mit dieser Lektüre lohnt sich daher nicht nur für die Prüfungsvorbereitung im Bachelor- und Masterstudium. Auch wenn Sie bereits beruflich oder privat mit Kindern und Jugendlichen zu tun haben, wird Ihnen das Buch als wertvolles Nachschlagewerk dienen und immer wieder Lust machen, sich mit den Inhalten auseinanderzusetzen.

(K)ein Gespür für Zahlen

So bekommt man den Durchblick in Mathe

Author: Barbara Oakley

Publisher: MVG Verlag

ISBN: 3864157811

Category: Mathematics

Page: 352

View: 9806

Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den kreativen Geist. Denn noch mehr als um Formeln geht es um die Freiheit, einen der vielen möglichen Lösungsansätze zu finden. Der Weg ist das Ziel. Und wie man zum richtigen Ergebnis kommt, ist eine Kunst, die man entwickeln, entdecken und in sich wecken kann. Die Autorin vermittelt eine Vielfalt an Techniken und Werkzeugen, die das Verständnis von Mathematik und Naturwissenschaft grundlegend verbessern. (K)ein Gespür für Zahlen nimmt Ihnen — vor allem wenn Sie sich in Schule, Uni oder Beruf mathematisch oder naturwissenschaftlich beweisen müssen — nicht nur die Grundangst, sondern stärkt Ihren Mut, Ihren mathematischen Fähigkeiten zu vertrauen. So macht Mathe Spaß!

Early Childhood Mathematics Education Research

Learning Trajectories for Young Children

Author: Julie Sarama,Douglas H. Clements

Publisher: Routledge

ISBN: 1135592500

Category: Education

Page: 424

View: 7845

This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

Learning and Teaching Mathematics 0-8

Author: Helen Taylor,Andrew J. R. Harris

Publisher: SAGE

ISBN: 1446296415

Category: Education

Page: 280

View: 6191

'What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I'm no good at..."' - Early Years Educator 'A wonderful book, packed with practical ideas and activities to help all students love maths.' - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children's learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.

Children's Mathematical Thinking in Primary Years

Author: Julia Anghileri

Publisher: A&C Black

ISBN: 9780826479112

Category: Education

Page: 192

View: 4237

This popular Continuum series, intended chiefly for teachers and trainee teachers, places strong emphasis on practice but at the same time incorporates the latest research in the field. The book demonstrates a strong belief in the ability of children to learn, and in the ability of teachers to increase children's learning potential. The series authors are distinguished practitioners in their fields who write with authority, but without jargon. With the increasingly popular constructivist framework for learning, teachers are coming to recognize the limitations of taught procedures and to find ways to encourage children to generate their own knowledge and understanding in mathematics. The challenge for teachers is to promote an environment that encourages mathematical thinking in which pupils of all abilities are able to achieve their full potential. This text brings together experiences of teachers and researchers who examine the ways children work mathematically, in order to provide an enhanced learning environment within the classroom. It also addresses key issues in current maths teaching.


An Emergent Math Curriculum Approach for Young Children

Author: Allen C. Rosales

Publisher: Redleaf Press

ISBN: 1605543969

Category: Education

Page: 176

View: 8550

This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.

Big Ideas of Early Mathematics

What Teachers of Young Children Need to Know

Author: Jeanine O'Nan Brownell,Jie-Qi Chen,Lisa Ginet,Erikson Institute. Early Math Collaborative

Publisher: Pearson

ISBN: 9780132946971

Category: Education

Page: 196

View: 7700

"The Big Ideas that convey the core concepts of mathematics are at the heart of this new book that gives early childhood educators the skills they 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. It's the perfect guide for those who want to focus their instruction on mathematics that is central, coherent, and rigorous. In it, readers see clearly why building early foundations in math matters, why teachers' understanding of foundational math matters, and why the methods used to teach it matter. Developed by the Erikson Institute's Early Math Collaborative team, the book groups the Big Ideas into nine chapter on topics that are familiar to early childhood teachers-sets, pattern and regularity, number, counting, operations, measurement, data analysis, shapes, and spatial thinking. The work is in keeping with the content strands identified by the National Council of Teachers of Mathematics (NCTM), and maps pathways to help teachers meet the Common Core State Standards for Mathematics." -- publisher website.