Learning and Teaching Early Math: The Learning Trajectories Approach

Front Cover
Routledge, May 23, 2014 - Education - 394 pages

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.

 

Contents

1 Young Children and Mathematics Learning
1
2 Quantity Number and Subitizing
9
3 Verbal and Object Counting
22
4 Comparing Ordering and Estimating
50
Early Addition and Subtraction and Counting Strategies
68
Composition of Number Place Value and Multidigit Addition and Subtraction
93
7 Spatial Thinking
124
8 Shape
141
Area Volume and Angle
198
12 Other Content Domains
214
13 Mathematical Processes and Practices
230
14 Cognition Affect and Equity
237
Contexts and Curricula
266
16 Instructional Practices and Pedagogical Issues
291
References
334
Index
363

9 Composition and Decomposition of Shapes
170
Length
186

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About the author (2014)

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.

Bibliographic information