Mathematics Learning in Early Childhood

Paths Toward Excellence and Equity

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Author: National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics

Publisher: National Academies Press

ISBN: 9780309147439

Category: Education

Page: 398

View: 7125

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Contemporary Perspectives on Mathematics in Early Childhood Education

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Author: Olivia Saracho,Bernard Spodek

Publisher: IAP

ISBN: 1607526379

Category: Education

Page: 349

View: 695

This volume provides a comprehensive critical analysis of the research in mathematics education for young children. The researchers who conducted the critical analysis focused on the relationship between (1) mathematics learning in the early years and domain specific approaches to cognitive development, (2) the children’s social learning and their developing understanding of math, and (3) the children’s learning in a natural context and their understanding of mathematics concepts. The work of these scholars can help guide those researchers who are interested in pursuing studies in early childhood mathematics in a specific area of study. This volume will facilitate the research conducted by both novice and expert researchers. The volume has accomplished its major goals, which consists of critically analyzing important research in a specific area that would be most useful in advancing the field and provide recommendations for both researchers and educators.

Forging Connections in Early Mathematics Teaching and Learning

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Author: Virginia Kinnear,Mun Yee Lai,Tracey Muir

Publisher: Springer

ISBN: 9811071535

Category: Education

Page: 284

View: 8262

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.

Engaging Young Children in Mathematics

Standards for Early Childhood Mathematics Education

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

Publisher: Routledge

ISBN: 0805842101

Category: Education

Page: 474

View: 4178

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.

Mathematics in the Early Years

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Author: Juanita V. Copley

Publisher: National Council of Teachers of

ISBN: 9780873534697

Category: Education

Page: 230

View: 5267

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.

Contemporary Research and Perspectives on Early Childhood Mathematics Education

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Author: Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz

Publisher: Springer

ISBN: 3319734326

Category: Education

Page: 326

View: 6326

This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?

Early Childhood Mathematics Skill Development in the Home Environment

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Author: Belinda Blevins-Knabe,Ann M. Berghout Austin

Publisher: Springer

ISBN: 331943974X

Category: Psychology

Page: 200

View: 4544

This volume presents current research on the connections between the home and family environment on children’s mathematics development. Focusing on infancy through first grade, it details the role of parents and other caregivers in promoting numeracy and the ways their active participation can prepare young children for learning about formal mathematics. Research data answer key questions regarding the development of numeracy alongside cognitive and linguistic skills, early acquisition of specific math skills, and numeracy of children with atypical language skills. The book also provides practical recommendations for parents and other caregivers as well as implications for future research studies and curriculum design. Included in the coverage: Ways to optimize home numeracy environments. Individual differences in numerical abilities. Cross-cultural comparisons and ways to scaffold young children's mathematical skills. Mathematics and language in the home environment. Center-based and family-based child care. Games and home numeracy practice. Early Childhood Mathematics Skill Development in the Home Environment is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, early childhood education, social work, mathematics education, and educational psychology.

Exploring Mathematics Through Play in the Early Childhood Classroom

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Author: Amy Noelle Parks

Publisher: Teachers College Press

ISBN: 0807773476

Category: Education

Page: 161

View: 1307

This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill

Numeracy in Early Childhood

Shared Contexts for Teaching & Learning

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Author: Agnes MacMillan

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Education

Page: 274

View: 6579

Numeracy in Early Childhood covers all the topics which are important for students studying to become early childhood practitioners. This Australian text focuses on using everyday language and objects, and predominantly play-based pedagogy in teaching, and provides practical models and guides to facilitate numeracy education. By framing a subject such as mathematics within a sociocultural perspective, the book shows how these everyday interactions can shape young children's mathematical thinking.

Mathematics in Early Years Education

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Author: Ann Montague-Smith,Tony Cotton,Alice Hansen,Alison J. Price

Publisher: Routledge

ISBN: 1136681663

Category: Education

Page: 256

View: 5895

This third edition of the best-selling Mathematics in Nursery Education provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning – number and counting, calculation, pattern, shape, measures and data handling – it summarises the research findings and underlying key concepts and explains how adults can help children to learn through practical experiences, discussion and more direct intervention. This new edition has been fully updated to incorporate the latest research and thinking in this area and includes: why mathematics is important as a way of making sense of the world how attitudes to mathematics can influence teaching and learning how children learn mathematics new material on sorting, matching and handling data ideas for observation and questioning to assess children’s understanding examples of planned activities suggestions for language development assessment criteria. This textbook is ideal for those training to be teachers through an undergraduate or PGCE route, those training for Early Years Professional Status and those studying early childhood on foundation or honours degrees as well as parents looking to explore how their young children learn mathematics. This will be an essential text for any Early Years practitioner looking to make mathematics interesting, exciting and engaging in their classroom.

Mathematical and Scientific Development in Early Childhood

A Workshop Summary

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Author: National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Board on Science Education,Mathematical Sciences Education Board

Publisher: National Academies Press

ISBN: 0309095034

Category: Education

Page: 54

View: 8436

Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.

Der Zahlensinn oder Warum wir rechnen können

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Author: Stanislas Dehaene

Publisher: Springer-Verlag

ISBN: 3034878257

Category: Science

Page: 311

View: 531

Wir sind umgeben von Zahlen. Ob auf Kreditkarten gestanzt oder auf Münzen geprägt, ob auf Schecks gedruckt oder in den Spalten computerisierter Tabellen aufgelistet, überall beherrschen Zahlen unser Leben. Sie sind auch der Kern unserer Technologie. Ohne Zahlen könnten wir weder Raketen starten, die das Sonnensystem erkunden, noch Brücken bauen, Güter austauschen oder Rech nungen bezahlen. In gewissem Sinn sind Zahlen also kulturelle Erfindungen, die sich ihrer Bedeutung nach nur mit der Landwirtschaft oder mit dem Rad vergleichen lassen. Aber sie könnten sogar noch tiefere Wurzeln haben. Tausende von Jahren vor Christus benutzten babylonische Wissenschaftler Zahlzeichen, um erstaun lich genaueastronomische Tabellen zu berechnen. Zehntausende von Jahren zuvor hatten Menschen der Steinzeit die ersten geschriebenen Zahlenreihen geschaffen, indem sie Knochen einkerbten oder Punkte auf Höhlenwände malten. Und, wie ich später überzeugend darzustellen hoffe, schon vor weiteren Millionen von Jahren, lange bevor es Menschen gab, nahmen Tiere aller Arten Zahlen zur Kenntnis und stellten mit ihnen einfache Kopfrechnungen an. Sind Zahlen also fast so alt wie das Leben selbst? Sind sie in der Struktur unseres Gehirns verankert? Besitzen wir einen Zahlensinn, eine spezielle Intuition, die uns hilft, Zahlen und Mathematik mit Sinn zu erfüllen? Ich wurde vor fünfzehn Jahren, während meiner Ausbildung zum Mathema tiker, fasziniert von den abstrakten Objekten, mit denen ich umzugehen lernte, vor allem von den einfachsten von ihnen- den Zahlen.

Teaching Mathematics in Early Childhood

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Author: Sally Moomaw

Publisher: Brookes Publishing Company

ISBN: 9781598571196

Category: Education

Page: 211

View: 2969

Children who learn math fundamentals in preschool and kindergarten have the best chance of later achievement in school; but all too often, children don't get the effective early math instruction that makes all the difference. Now there's a core early childhood textbook that helps current and future educators teach the most critical math concepts to young students while meeting today's national standards for mathematics education. Developed by Sally Moomaw, a nationally respected expert with more than 20 years of classroom experience, this accessible textbook gives readers a solid theoretical understanding of math concepts and standards and the guidance they need to create and implement their own lessons. Highly readable and practical enough for years of use beyond the classroom, this text: helps teacher plan effective lessons; advances inclusion by giving teachers universal design strategies and adaptations to help them support all learners; targets the critical math skills children will build on for the rest of their lives; focuses on the youngest students (including children wih special needs) so teachers can implement developmentally appropriate math instruction; gives teachers invaluable guidance in weavig math lessons into everyday routines and conversations; and makes teacher preparation clear and easy. Whether used in preservice courses on teaching mathematics or in-service professional development, this comprehensive textbook will help educators give the youngest students a strong foundation of basic math concepts, and prepare them for lifelong academic success.

Mathematics and Transition to School

International Perspectives

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Author: Bob Perry,Amy MacDonald,Ann Gervasoni

Publisher: Springer

ISBN: 9812872159

Category: Education

Page: 330

View: 5951

This edited book brings together for the first time an international collection of work focused on two important aspects of any young child’s life – learning mathematics and starting primary or elementary school. The chapters take a variety of perspectives, and integrate these two components in sometimes explicit and sometimes more subtle ways. The key issues and themes explored in this book are: the mathematical and other strengths that all participants in the transition to school bring to this period of a child’s life; the opportunities provided by transition to school for young children’s mathematics learning; the importance of partnerships among adults, and among adults and children, for effective school transitions and mathematics learning and teaching; the critical impact of expectations on their mathematics learning as children start school; the importance of providing children with meaningful, challenging and relevant mathematical experiences throughout transition to school; the entitlement of children and educators to experience assessment and instructional pedagogies that match the strengths of the learners and the teachers; the importance for the aspirations of children, families, communities, educators and educational organisations to be recognised as legitimate and key determinants of actions, experiences and successes in both transition to school and mathematics learning; and the belief that young children are powerful mathematics learners who can demonstrate this power as they start school. In each chapter, authors reflect on their work in the area of mathematics and transition to school, place that work within the overall context of research in these fields, predict the trajectory of this work in the future, and consider the implications of the work both theoretically and practically.

Early Mathematics Learning

Selected Papers of the POEM 2012 Conference

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Author: Ulrich Kortenkamp,Birgit Brandt,Christiane Benz,Götz Krummheuer,Silke Ladel,Rose Vogel

Publisher: Springer Science & Business Media

ISBN: 1461446783

Category: Education

Page: 326

View: 4904

​This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.​

Learning and Teaching Early Math

The Learning Trajectories Approach

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Author: Douglas H. Clements,Julie Sarama

Publisher: Routledge

ISBN: 1134080719

Category: Education

Page: 380

View: 1119

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, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.