David William Carraher's Books

Street Mathematics and School Mathematics

By: Terezinha Nunes,Analucia Dias Schliemann,David William Carraher

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Street Mathematics and School Mathematics

By: Terezinha Nunes,Analucia Dias Schliemann,David William Carraher

This text is about the differences between the practical knowledge of mathematics and mathematics learned in school. The authors look at the differences between these two ways of solving mathematical problems.

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Page Count

186

Publisher

Cambridge University Press

Published Date

ISBN 10

0521388139

ISBN 13

9780521388139

How Humans Learn to Think Mathematically

Exploring the Three Worlds of Mathematics

By: David Tall

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How Humans Learn to Think Mathematically

Exploring the Three Worlds of Mathematics

By: David Tall

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.

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Page Count

483

Publisher

Cambridge University Press

Published Date

ISBN 10

1107035708

ISBN 13

9781107035706

Bringing Out the Algebraic Character of Arithmetic

From Children's Ideas To Classroom Practice

By: Analúcia D. Schliemann,David W. Carraher,Bárbara M. Brizuela

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Bringing Out the Algebraic Character of Arithmetic

From Children's Ideas To Classroom Practice

By: Analúcia D. Schliemann,David W. Carraher,Bárbara M. Brizuela

Bringing Out the Algebraic Character of Arithmetic contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors regard Early Algebra not as accelerated instruction but as an approach to existing topics in the early mathematics curriculum that highlights their algebraic character. Each chapter shows young learners engaged in mathematics tasks where there has been a shift away from computations on specific amounts toward thinking about relations and functional dependencies. The authors show how young learners attempt to work with mathematical generalizations before they have learned formal algebraic notation. The book, suitable as a text in undergraduate or graduate mathematics education courses, includes downloadable resources with additional text and video footage on how students reason about addition and subtraction as functions; on how students understand multiplication when it is presented as a function; and on how children use notations in algebraic problems involving fractions. These three videopapers (written text with embedded video footage) present relevant discussions that help identify students' mathematical reasoning. The printed text in the book includes transcriptions of the video episodes in the CD-ROM. Bringing Out the Algebraic Character of Arithmetic is aimed at researchers, practitioners, curriculum developers, policy makers and graduate students across the mathematics education community who wish to understand how young learners deal with algebra before they have learned about algebraic notation.

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Page Count

104

Publisher

Routledge

Published Date

ISBN 10

1136799613

ISBN 13

9781136799617

Making Kids Cleverer

A manifesto for closing the advantage gap

By: David Didau

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Making Kids Cleverer

A manifesto for closing the advantage gap

By: David Didau

In 'Making Kids Cleverer: A manifesto for closing the advantage gap', David Didau reignites the nature vs. nurture debate around intelligence and offers research-informed guidance on how teachers can help their students acquire a robust store of knowledge and skills that is both powerful and useful. Foreword by Paul A. Kirschner. Given the choice, who wouldn't want to be cleverer? What teacher wouldn't want this for their students, and what parent wouldn't wish it for their children? When David started researching this book, he thought the answers to the above were obvious. But it turns out that the very idea of measuring and increasing children's intelligence makes many people extremely uncomfortable: If some people were more intelligent, where would that leave those of us who weren't? The question of whether or not we can get cleverer is a crucial one. If you believe that intelligence is hereditary and environmental effects are trivial, you may be sceptical. But environment does matter, and it matters most for children from the most socially disadvantaged backgrounds those who not only have the most to gain, but who are also the ones most likely to gain from our efforts to make all kids cleverer. And one thing we can be fairly sure will raise children's intelligence is sending them to school. In this wide-ranging enquiry into psychology, sociology, philosophy and cognitive science, David argues that with greater access to culturally accumulated information taught explicitly within a knowledge-rich curriculum children are more likely to become cleverer, to think more critically and, subsequently, to live happier, healthier and more secure lives.;Furthermore, by sharing valuable insights into what children truly need to learn during their formative school years, he sets out the numerous practical ways in which policy makers and school leaders can make better choices about organising schools, and how teachers can communicate the knowledge that will make the most difference to young people as effectively and efficiently as possible. David underpins his discussion with an exploration of the evolutionary basis for learning and also untangles the forms of practice teachers should be engaging their students in to ensure that they are acquiring expertise, not just consolidating mistakes and misconceptions.There are so many competing suggestions as to how we should improve education that knowing how to act can seem an impossible challenge. Once you have absorbed the arguments in this book, however, David hopes you will find the simple question that he asks himself whenever he encounters new ideas and initiatives Will this make children cleverer? as useful as he does.;Suitable for teachers, school leaders, policy makers and anyone involved in educations

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Page Count

299

Publisher

Crown House Publishing Ltd

Published Date

ISBN 10

1785833855

ISBN 13

9781785833854

Children's Thinking

Cognitive Development and Individual Differences

By: David F. Bjorklund

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Children's Thinking

Cognitive Development and Individual Differences

By: David F. Bjorklund

Written to meet the needs of students at both the graduate and undergraduate level, this textbook explores the field of cognitive development, with particular emphasis on the interaction between the biological constitution and the physical and social environment. Taking an empirical perspective, Bjo.

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Page Count

628

Publisher

Wadsworth Publishing Company

Published Date

ISBN 10

0534622453

ISBN 13

9780534622459

Proof in Mathematics Education

Research, Learning and Teaching

By: David A. Reid,Christine Knipping

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Proof in Mathematics Education

Research, Learning and Teaching

By: David A. Reid,Christine Knipping

Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education. This development is a welcome one for those interested in the topic, but also poses a challenge, especially to teachers and new scholars. It has become more and more difficult to get an overview of the field and to identify the key concepts used in research on proof and proving.

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Page Count

274

Publisher

Brill / Sense

Published Date

ISBN 10

9460912443

ISBN 13

9789460912443

Human Resource Management

By: David A. DeCenzo,Stephen P. Robbins

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Human Resource Management

By: David A. DeCenzo,Stephen P. Robbins

Over the past decade, management practice has gone through dramatic changes. Workforce diversity, downsizing, reengineering, total quality management, outsourcing, and rediscovering the importance of satisfying the customer, all has a significant impact on Human Resources. The new Sixth Edition of De Cenzo/Robbins' Human Resource Management features a current, real-world perspective that gives readers a crystal-clear picture of what today's HRM is really like. Emphasizing the application of theory, the Sixth Edition carefully integrates real examples with the most up-to-date information available.

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Page Count

580

Publisher

Wiley

Published Date

ISBN 10

0471299898

ISBN 13

9780471299899

Bringing Out the Algebraic Character of Arithmetic

From Children's Ideas To Classroom Practice

By: Analúcia D. Schliemann,David W. Carraher,Bárbara M. Brizuela

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Bringing Out the Algebraic Character of Arithmetic

From Children's Ideas To Classroom Practice

By: Analúcia D. Schliemann,David W. Carraher,Bárbara M. Brizuela

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Solve jigsaw puzzle

Age

Page Count

104

Publisher

Routledge

Published Date

ISBN 10

1136799613

ISBN 13

9781136799617

Street Mathematics and School Mathematics

By: Terezinha Nunes,Analucia Dias Schliemann,David William Carraher

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Street Mathematics and School Mathematics

By: Terezinha Nunes,Analucia Dias Schliemann,David William Carraher

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Solve jigsaw puzzle

Age

Page Count

186

Publisher

Cambridge University Press

Published Date

ISBN 10

0521388139

ISBN 13

9780521388139

Book's by David William Carraher

Street Mathematics and School Mathematics

Street Mathematics and School Mathematics

How Humans Learn to Think Mathematically

How Humans Learn to Think Mathematically

Bringing Out the Algebraic Character of Arithmetic

Bringing Out the Algebraic Character of Arithmetic

Making Kids Cleverer

Making Kids Cleverer

Children's Thinking

Children's Thinking

Proof in Mathematics Education

Proof in Mathematics Education

Human Resource Management

Human Resource Management

Bringing Out the Algebraic Character of Arithmetic

Bringing Out the Algebraic Character of Arithmetic

Street Mathematics and School Mathematics

Street Mathematics and School Mathematics

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