Early Childhood Mathematics Education Research: Learning Trajectories for Young Children

Routledge
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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.
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About the author

Julie A. Sarama is an Associate Professor of Mathematics Education at the University at Buffalo, State University of New York.

Douglas H. Clements is Distinguished Professor of Early Childhood, Mathematics, and Computer Education at the University at Buffalo, State University of New York.

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Additional Information

Publisher
Routledge
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Published on
Apr 1, 2009
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Pages
424
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ISBN
9781135592493
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Language
English
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Genres
Education / Early Childhood (incl. Preschool & Kindergarten)
Education / General
Education / Teaching Methods & Materials / Mathematics
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Content Protection
This content is DRM protected.
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Available on Android devices
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Eligible for Family Library

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Jo Frost
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From the beloved TV disciplinarian and bestselling author of Supernanny comes an amazingly simple five-step program of Toddler Rules to help parents tame tantrums, prevent bad behavior, and create long-term peace and stability in the home.
 
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The key to achieving success with these Toddler Rules is Frost’s proven S.O.S. method: Step Back, Observe, Step In. Complete with troubleshooting tips for living tantrum-free, this welcome, honest, straightforward guide has all you need to help your children grow, thrive, and make family time even more precious.

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From the Trade Paperback edition.
Mary Jane Maguire-Fong
This groundbreaking book explores infants’ amazing capacity to learn and presents a reflective approach to teaching inspired by the early childhood schools in Reggio Emilia, Italy. Each chapter draws from research and real-life infant care settings to illustrate how infants are robust investigators, intent on making sense of the world around them. Pre- and inservice professionals working with infants and their families will find in this book valuable insights into how to design an infant care program, plan curriculum, assess learning, and work with families. The book provides easy-to-understand answers to questions that include: What do I need to know about how the brain develops during infancy? What does teaching look like with children under age 3? How do babies figure out the complex code of language, including the acquisition of multiple languages? Does a baby’s experience have anything to do with later success in school and in life? What kinds of play materials support infants’ learning? What kinds of policies and practices lead to successful group-care programs for infants? User-friendly features of this book include vignettes, photographs of infant classrooms, diagrams and instructive charts, research highlights, and questions for reflection.

“From its clear explanation of the developing brain of a baby to its enlightened presentation on the art of reflective childcare, I see how many times I will use this work as a resource. . . . Building on key research from infant development, psychology, and neuroscience, Maguire-Fong invites reflection on what it means to teach and to learn when working with infants and toddlers.”
—From the Foreword by J. Ronald Lally, codirector of the Center for Child and Family Studies at WestEd, and author of For Our Babies

“Mary Jane Maguire-Fong explores deeply the connections between state-of-the-art science on young children's development, public policies affecting families, and best practice in the care and education of very young children. [This] is filled with so many great ideas, evocative illustrations, and practical considerations—all knit together in an almost lyrical narrative style. A wonderful, necessary read for anyone interested in supporting our youngest children.”
—Ross A. Thompson, Distinguished Professor, Department of Psychology, University of California, Davis

“Here is everything you ever wanted to know about very young children as ‘born researchers’—how they engage with the world so new to them and invite us to play with them in shared meaning-making. This book explores every aspect of early development and invites us to learn with the children, as we order time, space, and stuff to respond to their curiosity.”
—Elizabeth Jones, faculty emerita, Pacific Oaks College

Douglas H. Clements
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.
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