4th Edition

Learning and Teaching Early Math The Learning Trajectories Approach

By Douglas H. Clements, Julie Sarama Copyright 2026
540 Pages 331 B/W Illustrations
by Routledge

540 Pages 331 B/W Illustrations
by Routledge

540 Pages 331 B/W Illustrations
by Routledge

This definitive fourth edition synthesizes the research and wisdom of expert teachers on how young children learn mathematics and how effective teachers support their development with learning trajectories. The learning trajectories approach builds on what children know and can do, using activities tailored to develop the next level of thinking. By focusing on the inherent delight and curiosity... Read more

1. Young Children and Mathematics Learning  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, Multidigit Addition and Subtraction, Multiplication and Division, and Fractions  7. Spatial Thinking  8. Shape  9. Composition and Decomposition of Shapes  10. Geometric Measurement: Length  11. Geometric Measurement: Area, Volume, and Angle  12. Other Content Domains: Patterns, Structure, and Algebraic Thinking; Classification and Data  13. Mathematical Processes and Practices  14. Cognition and Affect  15. Early Childhood Mathematics Education for All: Contexts, Curricula, and Cultures  16. Instructional Practices and Pedagogical Issues

     

Biography

Douglas H. Clements is a Distinguished University Professor, the Kennedy Endowed Chair in Early Childhood Learning, and the Co-Executive Director of the Marsico Institute of Early Learning, University of Denver, USA.

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