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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.
- Sales Rank: #1025941 in Books
- Published on: 2009-03-14
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .72" w x 7.01" l, 1.35 pounds
- Binding: Paperback
- 344 pages
Review
"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
About the Author
Douglas H. Clements is SUNY Distinguished Professor of Early Childhood, Mathematics, and Computer Education at the University at Buffalo, State University of New York.
Julie Sarama is an Associate Professor of Mathematics Education at the University at Buffalo, State University of New York.
Most helpful customer reviews
7 of 7 people found the following review helpful.
Excellent Early Childhood Math Resource
By Naomi Smith
If you want to develop an improved understanding on how young children learn mathematics, then this is the book. This is not test prep or rote learning, but introducing the big ideas of math to young children.
We started a study group of PreK, Kindergarten and First grade teachers at my school around this book. The book helps teachers understand what children know (which is generally more than we think), their capacity to understand the big ideas in math and how we can know what they know. It also helps us understand what is possible for children and the general development of mathematical ideas in several areas.
Educators interested in this should also look at [...] "The Building Blocks project created exemplary mathematics materials designed to enable all young children to meet the new preK-grade 2 standards developed by the National Council of Teachers of Mathematics"
4 of 4 people found the following review helpful.
Important
By Beverlee
This information written for teachers and based on years of research lays out how children learn different strands of mathematics: counting, addition, subtraction, place value spatial thinking, geometry, and measurement. Understanding how children learn mathematics will have a significant effect on mathematics instruction and lead to greatly improved student achievement. A mathematics curriculum whose organization is based on these learning trajectories in the hands of quality teachers would make a huge positive difference in mathematics education.
3 of 3 people found the following review helpful.
Good resource
By 248spartan
Good resource for those who want to understand the trajectories in math. It starts from birth until 8ish years old.
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