Learning and Teaching Early Math: The Learning Trajectories Approach

Learning and Teaching Early Math: The Learning Trajectories Approach

by Douglas H. Clements, Julie Sarama
     
 

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Most everyone agrees that effective mathematics teaching involves "meeting the students where they are" and helping them build on what they know. But that is often easier said than done. In this important new book for pre-and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose what mathematics a

Overview

Most everyone agrees that effective mathematics teaching involves "meeting the students where they are" and helping them build on what they know. But that is often easier said than done. In this important new book for pre-and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose what mathematics a child knows. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Editorial Reviews

From the Publisher
“The book’s strengths are many. The in-depth coverage of the mathematical concepts and the related research are invaluable. But notably the greatest strength, in my view, is the inclusion of the developmental trajectories. I think these are an invaluable reference for anyone teaching mathematics to young children, and I encourage my students to all hold onto this text for reference when teaching.”—Barbrina Ertle, Department of Education, Adelphi University

Praise for the 1st Edition:

“What math is most important for young learners? What concepts and skills are foundational for their reaching the next level of math understanding? And how can teachers help children grasp each new idea and remain enthusiastic about math? These are the key questions in this incredibly valuable book from Douglas Clements and Julie Sarama. For each topic area, they clearly describe the developmental path, or ‘learning trajectory,’ along which children move to develop mathematical concepts and skills. And they offer evidence-based guidelines and instructional activities in an engaging, straightforward way that reflects their deep respect for, and understanding of, what teachers do.” —Carol Copple, Former Director, Publications and Initiatives in Educational Practice, National Association for the Education of Young Children

"One of the book's greatest strengths is the focus on 'Developmental Trajectories', which are a little like 'schemas'. Learning or developmental progressions that children follow as they are learning something - for example, from rolling, crawling, walking, skipping and jumping, to running and moving with increased speed and dexterity." - Martine Horvath, eye magazine

Product Details

ISBN-13:
9780415828505
Publisher:
Taylor & Francis
Publication date:
04/23/2014
Series:
Studies in Mathematical Thinking and Learning Series
Edition description:
Revised
Pages:
394
Sales rank:
500,252
Product dimensions:
7.00(w) x 9.90(h) x 0.90(d)

Meet the Author

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

Julie Sarama is the Kennedy Endowed Chair in Innovative Learning Technologies and Professor at the University of Denver, USA.

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