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Learning and Teaching Early Math : The Learning Trajectories Approach : 1st Edition - Douglas H. Clements

Learning and Teaching Early Math

The Learning Trajectories Approach : 1st Edition


Published: 1st March 2009
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7 to 10 business days
RRP $141.99

In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. 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.

"This state-of-the art book makes an invaluable contribution to our understanding of this vital component of early childhood practice and to the children who will benefit from its publication."--Young Children (NAEYC), March 2010 "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 Doug 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, Director, Publications and Initiatives in Educational Practice National Association for the Education of Young Children "Learning and Teaching Early Math: The Learning Trajectories Approach is a required text for any early mathematics educator, professional developer, early childhood teacher or researcher. The domain-specific learning trajectories that outline developmental progressions provide information that has been missing from professional development resources. In addition, the instructional tasks aligned with each level provide practical suggestions for the teacher. Clements and Sarama have given us a comprehensive, research-based, rich resource... one that will make a difference to the mathematics learning of the young child!"--Juanita Copley, Professor Emeritus, University of Houston

Prefacep. ix
Acknowledgmentsp. xiii
Young Children and Mathematics Learningp. 1
Quantity, Number, and Subitizingp. 9
Verbal and Object Countingp. 19
Comparing, Ordering, and Estimatingp. 43
Arithmetic: Early Addition and Subtraction and Counting Strategiesp. 59
Arithmetic: Composition of Number, Place Value, and Multidigit Addition and Subtractionp. 81
Spatial Thinkingp. 107
Shapep. 123
Composition and Decomposition of Shapesp. 149
Geometric Measurement: Lengthp. 163
Geometric Measurement: Area, Volume, and Anglep. 173
Other Content Domainsp. 189
Mathematical Processesp. 203
Cognition, Affect, and Equityp. 209
Early Childhood Mathematics Education: Contexts and Curriculap. 233
Instructional Practices and Pedagogical Issuesp. 255
Notesp. 293
Referencesp. 295
Indexp. 317
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780415995924
ISBN-10: 0415995922
Series: Studies in Mathematical Thinking and Learning Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 344
Published: 1st March 2009
Dimensions (cm): 25.5 x 18.0  x 1.9
Weight (kg): 0.64