As in previous volumes, Kamii uses Piaget's groundbreaking work in constructivism as well as her own years of research in classrooms to closely observe what third grade children actually "do" when solving problems of addition, subtraction, multiplication and division. Her work translates Piaget's theory into a concrete programme that encourages children to use maths in real ways that stimulate them to reinvent arithmetic. She also challenges "quick-fix" theories of educational reform, replacing these with one that revolutionises our understanding of how human beings acquire knowledge, and thus drastically changing what we think schools should try to do. Educators have long been trying to transmit knowledge to children from the outside. What reform needs is a focus inside the child to maximise the process of construction from within. The volume is divided into four parts. The first gives a theoretical foundation, the second, goals and objectives, the third consists of chapters on problem solving, group games and other activities. The final part presents principles of teaching and answers frequently asked questions. The last chapter is about the evaluation of constructivist teaching and documents how children with three years of constructivist maths were able to reason far better than traditionally instructed children.
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2 of 3 people found the following review helpful:
4.0 out of 5 stars
Constructivist Arithmetic,
This review is from: Young Children Continue to Reinvent Arithmetic - 3rd - Grade: Implications of Piaget's Theory (Early Childhood Education) (Early Childhood Education Series) (Paperback)
The theory in this book is well presented but rather dry. This book's strongest area is the games that are detailed in the last half of the book. These commercial and teacher made games give students the opportunity to practice arithmetic in a fun and authentic way.
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Inside This Book
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First Sentence:
Why do we want children to reinvent arithmetic when we can simply tell or show them how to add, subtract, multiply, and divide? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
been taught algorithms, poor number sense, multiplicative thinking, making subgroups, constructivist classes, illogical procedures, math hour, hierarchical inclusion, multidigit multiplication, teaching algorithms, draw pile, relevant factors into account, numerical thinking, more tulips, additive procedure, conventional algorithm, advanced children, constructivist teaching, slow developers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Questions Frequently Asked, Hall-Kent School, Theoretical Foundations, Numbers Challenge, Algorithm Invented, Make This Number, Santa Claus, Constructivist Comparison Significance, Difference Significance, South Africa New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Why do we want children to reinvent arithmetic when we can simply tell or show them how to add, subtract, multiply, and divide? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
been taught algorithms, poor number sense, multiplicative thinking, making subgroups, constructivist classes, illogical procedures, math hour, hierarchical inclusion, multidigit multiplication, teaching algorithms, draw pile, relevant factors into account, numerical thinking, more tulips, additive procedure, conventional algorithm, advanced children, constructivist teaching, slow developers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Questions Frequently Asked, Hall-Kent School, Theoretical Foundations, Numbers Challenge, Algorithm Invented, Make This Number, Santa Claus, Constructivist Comparison Significance, Difference Significance, South Africa New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 36
books:
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- The Psychology of Intelligence (Routledge Classics) by Jean Piaget on page 49, page 51, and page 52
- Early Childhood Education: A Perceptual Models Curriculum by Doris Pronin Fromberg in Front Matter (1), and Front Matter (2)
- To Understand Is to Invent by Jean Piaget on page 49, and page 59
- Early Childhood Education (Doctorate Association Series) by American Federation of Teachers in Front Matter (1), and Front Matter (2)
- The Moral Judgment of the Child by Jean Piaget on page 49, and page 60
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