1st Edition

Early Childhood Mathematics Education Research Learning Trajectories for Young Children

By Julie Sarama, Douglas H. Clements Copyright 2009
    428 Pages
    by Routledge

    424 Pages
    by Routledge

    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.

    Preface

    Appreciation the Funding Agencies

    Part I: Introduction

    1. Early Childhood Mathematics Learning

    Part II: Number and Quantitative Thinking

    2. Quantity, Number, and Subitizing

    3. Verbal and Object Counting

    4: Comparing, Ordering, and Estimating

    5. Arithmetic: Early Addition and Subtraction and Counting Strategies

    6. Arithmetic: Composition of Number, Place Value, and Multidigit Addition and Subtraction

    Part III: Geometry and Spatial Thinking

    7. Spatial Thinking

    8. Shape

    9. Composition and Decomposition of Shapes

    Part IV: Geometric Measurement

    10. Geometric Measurement, Part 1: Length

    11. Geometric Measurement, Part 2: Area, Volume, and Angle

    Part V: Other Content Domains and Processes

    12. Other Content Domains

    13. Mathematical Processes

    14. Professional Development and Scaling Up

    Notes

    References

    Index

    Biography

    Julie Sarama is Distinguished University Professor, Kennedy Endowed Chair in Innovative Learning Technologies, Co-Executive Director of the Marsico Institute of Early Learning at the University of Denver, Denver, CO, USA.

    Douglas H. Clements is Distinguished University Professor; Kennedy Endowed Chair in Early Childhood Learning; Executive Director, Marsico Institute of Early Learning at the University of Denver, Denver, CO, USA.

     

    "Sarama and Clements’ landmark book provides a comprehensive review of psychological and educational research leading to new insights into young children’s mathematical learning and how it can be fostered.  The authors’ "learning trajectories" approach blends a research-based appreciation of the developing child’s mathematical mind with practical educational goals and methods.  The book is essential reading for all those with a deep interest in promoting an effective and enriched approach to early childhood mathematics education."

    -- Herbert P. Ginsburg, Jacob H. Schiff Foundation Professor of Psychology and Education, Department of Human Development, Teachers College Columbia University