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Young Children Reinvent Arithmetic: Implications of Piaget's Theory, Second Edition (Early Childhood Education Series) 2nd Edition

4.2 4.2 out of 5 stars 23 ratings

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In this fully revised second edition of the classic Young Children Reinvent Arithmetic, Constance Kamii describes and develops an innovative program of teaching arithmetic in the early elementary grades. Kamii bases her educational strategies on renowned constructivist Jean Piaget's scientific ideas of how children develop logico-mathematical thinking. Written in collaboration with a classroom teacher, and premised upon the conviction that children are capable of much more than teachers and parents generally realize, the book provides a rich theoretical foundation and a compelling explanation of educational goals and objectives.

Kamii calls attention to the ways in which traditional textbook-based teaching can be harmful to children's development of numerical reasoning, and uses extensive research and classroom-tested studies to illuminate the efficacy of the approach. This book is full of practical suggestions and developmentally appropriate activities that can be used to stimulate numerical thinking among students of varying abilities and learning styles, both within and outside of the classroom.

“In this new edition of her important book, Connie Kamii demonstrates scholarship not just in what she has written, but in her willingness to incorporate new ideas and findings. Many people update their books; few assiduously revise them, confronting what they believe to be past errors or gaps in their thinking. Such intellectual honesty, along with consistent connections between theory and practice, make this book a solid contribution to mathematics education of young children.”
--
Douglas Clements, State University of New York at Buffalo

“The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision of Young Children Reinvent Arithmetic: Implications of Piaget’s Theoryprovides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.”
--
Frances R. Curcio, New York University


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Editorial Reviews

Review

“In this new edition of her important book, Connie Kamii demonstrates scholarship not just in what she has written, but in her willingness to incorporate new ideas and findings. Many people update their books; few assiduously revise them, confronting what they believe to be past errors or gaps in their thinking. Such intellectual honesty, along with consistent connections between theory and practice, make this book a solid contribution to mathematics education of young children.”
--
Douglas Clements, State University of New York at Buffalo



“The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision of Young Children Reinvent Arithmetic: Implications of Piaget’s Theoryprovides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.”
--
Frances R. Curcio, New York University

Review

“The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision of Young Children Reinvent Arithmetic: Implications of Piaget’s Theoryprovides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.”
--
Frances R. Curcio, New York University

Product details

  • ASIN ‏ : ‎ 0807739049
  • Publisher ‏ : ‎ Teachers College Press; 2nd edition (November 1, 1999)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 254 pages
  • ISBN-10 ‏ : ‎ 9780807739044
  • ISBN-13 ‏ : ‎ 978-0807739044
  • Item Weight ‏ : ‎ 11.8 ounces
  • Dimensions ‏ : ‎ 6.25 x 0.5 x 9.25 inches
  • Customer Reviews:
    4.2 4.2 out of 5 stars 23 ratings

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Constance Kamii
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4.2 out of 5 stars
4.2 out of 5
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23 global ratings

Top reviews from the United States

Reviewed in the United States on September 16, 2013
This book is required reading for all of my new and continuing teachers; the chapters on Autonomy as the Aim of Education and the harmful effects of algorithms found in each of her 2nd edition books for 1st, 2nd, and 3rd grades are essential to teachers' sense-making. Dr. Kamii shines a bright light on children's thinking and the role of teachers [and parents] in prioritizing meaningful exchanges of ideas with and between young people.
4 people found this helpful
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Reviewed in the United States on February 29, 2012
Wow. I am so impressed! I love this book! I am a homeschool mom and an Alfie Kohn fan. This is amazing! I have tried it on my kids. It works.
3 people found this helpful
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Reviewed in the United States on January 23, 2018
This book was good at representing how children learn and the different ways and techniques that they use to learn.
Reviewed in the United States on August 2, 2015
I can't get enough of Kamii. Highly theoretical while being highly practical.
Reviewed in the United States on June 29, 2006
If you are looking for a better way to teach children math in the early grades, you must read this book.

In Young Children Reinvent Arithmetric, Professor Constance Kamii takes you on a journey of discovery as she works with teacher Georgia DeClark in her first grade classroom. Together they work through the first grade math curriculum finding games and real life situations that will assist students in developing the mathematical thinking skills that underlie the curriculum goals.

The book begins with background information on Piaget's Theory of number, demonstrating how children develop logical-mathematical thinking by interacting with the world and each other. In Part Two the goals and objectives of the curriculum are explained. In Part Three the activities used to teach the children are explained in great detail so that teachers will understand how to use them in their own classrooms. In Part 4 The teacher tells her story. Part Five provides the program evaluation with the research and testing that was done. The children in DeClark's classroom are compared to children in a classroom using traditional teaching methods.

Constance Kamii has been transforming the Constructivist Theory of the origins of thinking by Jean Piaget into practical activities for teaching for decades. Her work is so important in these days of standardized testing and NCLB.
Nancy Illing author of SPARKS Ignite Imagination
9 people found this helpful
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Reviewed in the United States on September 10, 2000
It's helpful to have at least a passing acquaintance with Jean Piaget's theories before reading this book, but it's not necessary. Kamii shows in so many many ways that the thought life of young children is different from our own. Not only should this be required reading for all Kindergarten through second grade teachers, but also for those politicians and political pundits whose back to basics (and did we ever really leave the basics?) approach to curriculum simply makes life miserable for these poor kids. (because what they think are the basics aren't really the true basics of thought)
One interesting aspect of the book is that it was in part co-written with a primary school teacher who tries out some of Kamii's ideas in her own classroom. She is initially skeptical that Kamii knows what she's talking about, but later realizes the truth of it when confronted with the evidence of her own senses.
After you read this book, you'll never see a kid do a problem like 5 + 1 or 16 + 7 with the same eyes again.
23 people found this helpful
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Reviewed in the United States on July 23, 2017
interesting book. good for understanding the theories of childhood number acquisition.
Reviewed in the United States on April 6, 2000
I am a Kindergarten teacher and would recommend this book to teachers and parents looking for a good resource to teach children number concepts. Kamii not only discusses number concepts and problem solving, she also gives lots of easy to make games to make learning these things fun. Wonderful book!
14 people found this helpful
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