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Learning and Teaching Early Math: The Learning Trajectories Approach: Studies in Mathematical Thinking and Learning Series

Autor Douglas H. Clements, Julie Sarama
en Limba Engleză Paperback – 30 dec 2020
The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching.
Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children.
This thoroughly revised and contemporary third 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 confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout.
This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]²–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.
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Specificații

ISBN-13: 9780367521974
ISBN-10: 0367521970
Pagini: 488
Ilustrații: 33 Tables, black and white; 164 Line drawings, black and white; 109 Halftones, black and white; 273 Illustrations, black and white
Dimensiuni: 178 x 254 x 40 mm
Greutate: 1.88 kg
Ediția:3 ed
Editura: Taylor & Francis
Colecția Routledge
Seria Studies in Mathematical Thinking and Learning Series

Locul publicării:Oxford, United Kingdom

Public țintă

Academic, Postgraduate, Professional, Professional Practice & Development, and Undergraduate Advanced

Cuprins

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, and Multidigit Addition
and Subtraction, and 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, Affect, and Equity
15. Early Childhood Mathematics Education: Contexts and Curricula
16. Instructional Practices and Pedagogical Issues

Notă biografică

Douglas H. Clements is Distinguished University Professor, the Kennedy Endowed Chair in Early Childhood Learning, and co-Executive Director of the Marsico Institute of Early Learning, at the University of Denver.
Julie Sarama is Distinguished University Professor, the Kennedy Endowed Chair in Innovative Learning Technologies, and co-Executive Director of the Marsico Institute of Early Learning, at the University of Denver.

Descriere

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics, and how best to develop foundational knowledge to realize more effective teaching.

Recenzii

"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