Young Children Reinvent Arithmetic

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Young Children Reinvent Arithmetic

Author : Constance Kamii
Publisher : Teachers College Press
ISBN 13 : 0807776246
Total Pages : 255 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Young Children Reinvent Arithmetic by : Constance Kamii

Download or read book Young Children Reinvent Arithmetic written by Constance Kamii and published by Teachers College Press. This book was released on 1999 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 provides 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

Young Children Continue to Reinvent Arithmetic--2nd Grade

Author : Constance Kamii
Publisher : Teachers College Press
ISBN 13 : 9780807744031
Total Pages : 212 pages
Book Rating : 4.7/5 (44 download)

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Book Synopsis Young Children Continue to Reinvent Arithmetic--2nd Grade by : Constance Kamii

Download or read book Young Children Continue to Reinvent Arithmetic--2nd Grade written by Constance Kamii and published by Teachers College Press. This book was released on 2004 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Responding to their recent research on how children learn mathematics, the authors have revised this bestselling textbook to provide practical advice on what works and what should be avoided when teaching second graders. Features important revisions to their groundbreaking program, including the harmful effects of teaching "carrying' and "borrowing".

Young Children Continue to Reinvent Arithmetic--2nd Grade

Author : Constance Kamii
Publisher : Teachers College Press
ISBN 13 : 9780807729588
Total Pages : 205 pages
Book Rating : 4.7/5 (295 download)

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Book Synopsis Young Children Continue to Reinvent Arithmetic--2nd Grade by : Constance Kamii

Download or read book Young Children Continue to Reinvent Arithmetic--2nd Grade written by Constance Kamii and published by Teachers College Press. This book was released on 1989 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number in Preschool and Kindergarten

Author : Constance Kamii
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Number in Preschool and Kindergarten by : Constance Kamii

Download or read book Number in Preschool and Kindergarten written by Constance Kamii and published by . This book was released on 1982 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates how the teacher can use Piaget's theory to teach elementary number in a practical way. Includes activities and games that can stimulate children's numerical thinking.

Young Children Continue to Reinvent Arithmetic--3rd Grade

Author : Constance Kamii
Publisher :
ISBN 13 : 9780807733240
Total Pages : 225 pages
Book Rating : 4.7/5 (332 download)

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Book Synopsis Young Children Continue to Reinvent Arithmetic--3rd Grade by : Constance Kamii

Download or read book Young Children Continue to Reinvent Arithmetic--3rd Grade written by Constance Kamii and published by . This book was released on 1994 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Moral Classrooms, Moral Children

Author : Rheta DeVries
Publisher : Teachers College Press
ISBN 13 : 0807753408
Total Pages : 289 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Moral Classrooms, Moral Children by : Rheta DeVries

Download or read book Moral Classrooms, Moral Children written by Rheta DeVries and published by Teachers College Press. This book was released on 2012-06-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic bestseller, now updated for today's diverse teaching force and student populations, explores the benefits of sociomoral practices in the classroom. The authors draw on recent research to show how these approaches work with children ages 2–8. They focus on how to establish and maintain a classroom environment that fosters children's intellectual, social, moral, emotional, and personality development. Extending the work of Jean Piaget, the authors advocate for a cooperative approach that contrasts with the coercion and unnecessary control that can be seen in many classrooms serving young children. Practical chapters demonstrate how the constructivist approach can be embedded in a school program by focusing on specific classroom situations and activities, such as resolving conflict, group time, rule making, decision making and voting, social and moral discussions, cooperative alternatives to discipline, and activity time.

Learning from Children

Author : Ed Labinowicz
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Learning from Children by : Ed Labinowicz

Download or read book Learning from Children written by Ed Labinowicz and published by Addison Wesley Publishing Company. This book was released on 1985 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although recent research on children's numerical thinking has much to say to teachers, little attempt has been made to communicate it directly to them. This book attempts to build a bridge between theory, research, and classroom practice with the aim of supporting informed change in the schools. The ultimate goal is to promote children's numerical thinking and to ensure their survival in a rapidly changing world.

Math on the Move

Author : Malke Rosenfeld
Publisher : Heinemann Educational Books
ISBN 13 : 9780325074702
Total Pages : 0 pages
Book Rating : 4.0/5 (747 download)

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Book Synopsis Math on the Move by : Malke Rosenfeld

Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Mathematics Learning in Early Childhood

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Learning in Early Childhood by : National Research Council

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Helping Children Learn Mathematics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how weâ€™re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Developing Constructivist Early Childhood Curriculum

Author : Rheta DeVries
Publisher :
ISBN 13 : 9780807741214
Total Pages : 250 pages
Book Rating : 4.7/5 (412 download)

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Book Synopsis Developing Constructivist Early Childhood Curriculum by : Rheta DeVries

Download or read book Developing Constructivist Early Childhood Curriculum written by Rheta DeVries and published by . This book was released on 2002 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses how children can benefit from certain kinds of play during early childhood education, allowing them to explore their surroundings while still being conventially educated in the classroom.

Early Literacy

Author : Constance Kamii
Publisher : NEA Professional Library
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Early Literacy by : Constance Kamii

Download or read book Early Literacy written by Constance Kamii and published by NEA Professional Library. This book was released on 1991 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to consider early literacy education and whole language from the perspective of constructivist theory (which states that human beings acquire knowledge by building it from the inside in interaction with the environment) and research. More specifically, the book intends to show that the whole language movement is part of a larger revolution in thinking about learning and teaching, and to enable whole language advocates to explain, evaluate, and improve upon their beliefs and practices on the basis of a scientific, explanatory theory about how children acquire knowledge. The first four chapters of the book describe constructivism and the research supporting it, while the rest of the book deals with classroom practices and related issues such as assessment. The book's nine chapters and their authors are as follows: (1) "What is Constructivism?" (Constance Kamii); (2) "Literacy Acquisition and the Representation of Language" (Emilia Ferreiro); (3) "Principles of Spelling Found in the First Two Grades (Francois Siegrist and Hermina Sinclair); (4) "Spelling in Kindergarten: A Constructivist Analysis Comparing Spanish-Speaking and English-Speaking Children" (Constance Kamii and others); (5) "Learning to Read in New Zealand" (Brian Cutting and Jerry L. Milligan); (6) "Shared Book Experience: Teaching Reading Using Favorite Books" (Don Holdaway); (7) "Modeled Writing: Reflections on the Constructive Process" (Maryann Manning and Gary Manning); (8) "Reading to Know" (Barbara A. Lewis and Roberta Long); and (9) "An Approach to Assessment in Early Literacy" (Brenda S. Engel). Six pages of chapter notes and references, and 80 general references are attached. (SR)

Burn Math Class

Author : Jason Wilkes
Publisher : Basic Books
ISBN 13 : 0465073816
Total Pages : 400 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Burn Math Class by : Jason Wilkes

Download or read book Burn Math Class written by Jason Wilkes and published by Basic Books. This book was released on 2016-03-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

The One World Schoolhouse

Author : Salman Khan
Publisher : Twelve
ISBN 13 : 145550839X
Total Pages : 155 pages
Book Rating : 4.4/5 (555 download)

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Book Synopsis The One World Schoolhouse by : Salman Khan

Download or read book The One World Schoolhouse written by Salman Khan and published by Twelve. This book was released on 2012-10-02 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: A free, world-class education for anyone, anywhere: this is the goal of the Khan Academy, a passion project that grew from an ex-engineer and hedge funder's online tutoring sessions with his niece, who was struggling with algebra, into a worldwide phenomenon. Today millions of students, parents, and teachers use the Khan Academy's free videos and software, which have expanded to encompass nearly every conceivable subject; and Academy techniques are being employed with exciting results in a growing number of classrooms around the globe. Like many innovators, Khan rethinks existing assumptions and imagines what education could be if freed from them. And his core idea-liberating teachers from lecturing and state-mandated calendars and opening up class time for truly human interaction-has become his life's passion. Schools seek his advice about connecting to students in a digital age, and people of all ages and backgrounds flock to the site to utilize this fresh approach to learning. In The One World Schoolhouse, Khan presents his radical vision for the future of education, as well as his own remarkable story, for the first time. In these pages, you will discover, among other things: How both students and teachers are being bound by a broken top-down model invented in Prussia two centuries ago Why technology will make classrooms more human and teachers more important How and why we can afford to pay educators the same as other professionals/DIV How we can bring creativity and true human interactivity back to learning/DIV Why we should be very optimistic about the future of learning. Parents and politicians routinely bemoan the state of our education system. Statistics suggest we've fallen behind the rest of the world in literacy, math, and sciences. With a shrewd reading of history, Khan explains how this crisis presented itself, and why a return to "mastery learning," abandoned in the twentieth century and ingeniously revived by tools like the Khan Academy, could offer the best opportunity to level the playing field, and to give all of our children a world-class education now. More than just a solution, The One World Schoolhouse serves as a call for free, universal, global education, and an explanation of how Khan's simple yet revolutionary thinking can help achieve this inspiring goal.

International Reflections on the Netherlands Didactics of Mathematics

Author : Marja van den Heuvel-Panhuizen
Publisher : Springer
ISBN 13 : 3030202232
Total Pages : 369 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis International Reflections on the Netherlands Didactics of Mathematics by : Marja van den Heuvel-Panhuizen

Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.

The Survival of a Mathematician

Author : Steven George Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 0821846299
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Survival of a Mathematician by : Steven George Krantz

Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

The Number Sense

Author : Stanislas Dehaene
Publisher : Oxford University Press
ISBN 13 : 019987705X
Total Pages : 352 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis The Number Sense by : Stanislas Dehaene

Download or read book The Number Sense written by Stanislas Dehaene and published by Oxford University Press. This book was released on 2011-04-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist