The Development Of Arithmetic Concepts And Skills

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The Development of Arithmetic Concepts and Skills

Author : Arthur J. Baroody,Ann Dowker
Publisher : Routledge
Page : 513 pages
File Size : 42,8 Mb
Release : 2013-06-17
Category : Education
ISBN : 9781135672232

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The Development of Arithmetic Concepts and Skills by Arthur J. Baroody,Ann Dowker Pdf

This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).

The Development of Arithmetic Concepts and Skills

Author : Arthur J. Baroody,Ann Dowker
Publisher : Unknown
Page : 494 pages
File Size : 51,9 Mb
Release : 2003
Category : Arithmetic
ISBN : 0814106072

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The Development of Arithmetic Concepts and Skills by Arthur J. Baroody,Ann Dowker Pdf

This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: what is the nature of arithmetic expertise? and how can instruction best promote it?

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Page : 360 pages
File Size : 55,5 Mb
Release : 2017-02-08
Category : Psychology
ISBN : 9780128133682

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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke Pdf

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

The Development of Mathematical Skills

Author : Chris Donlan
Publisher : Taylor & Francis
Page : 356 pages
File Size : 43,7 Mb
Release : 1998
Category : Mathematics
ISBN : 086377816X

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The Development of Mathematical Skills by Chris Donlan Pdf

This collection of papers from an international group of academics invites the reader to explore the complex set of phenomena surrounding mathematical skills acquisition and development in children.

An Introduction to Mathematical Cognition

Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Taylor & Francis
Page : 265 pages
File Size : 42,9 Mb
Release : 2018-06-13
Category : Psychology
ISBN : 9781317410119

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An Introduction to Mathematical Cognition by Camilla Gilmore,Silke M. Göbel,Matthew Inglis Pdf

The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.

Conceptual and Procedural Knowledge

Author : James Hiebert
Publisher : Routledge
Page : 357 pages
File Size : 55,7 Mb
Release : 2013-08-21
Category : Education
ISBN : 9781136559839

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Conceptual and Procedural Knowledge by James Hiebert Pdf

First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 43,8 Mb
Release : 2007-02-01
Category : Education
ISBN : 9781607527091

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Second Handbook of Research on Mathematics Teaching and Learning by Frank K. Lester Pdf

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

The Handbook of Mathematical Cognition

Author : Jamie I.D. Campbell
Publisher : Psychology Press
Page : 527 pages
File Size : 44,6 Mb
Release : 2005-08-15
Category : Psychology
ISBN : 9781135423667

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The Handbook of Mathematical Cognition by Jamie I.D. Campbell Pdf

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Engaging Young Children in Mathematics

Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Page : 474 pages
File Size : 41,5 Mb
Release : 2004
Category : Education
ISBN : 9780805842104

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Engaging Young Children in Mathematics by Douglas H. Clements,Julie Sarama Pdf

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Precursor Math Concepts

Author : Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel
Publisher : Teachers College Press
Page : 258 pages
File Size : 40,8 Mb
Release : 2021
Category : Education
ISBN : 9780807779958

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Precursor Math Concepts by Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel Pdf

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts—Attribute, Comparison, Change, and Pattern—with an emphasis on how development occurs when it is nurtured by loving knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as “a logical way of thinking that allows for increasing precision.” Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children’s interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool. Book Features: Combines the most current research on infant and toddler cognitive development in relation to mathematical thinking.Offers concrete ways to help caregivers and professionals draw out the math that is all around us.Blends three domains of human development—social-emotional, physical, and cognitive.Examines the What, Who, and How of each precursor concept, with authentic anecdotes and “What the Research Says” sections.

International Handbook of Mathematical Learning Difficulties

Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Page : 834 pages
File Size : 41,9 Mb
Release : 2019-01-30
Category : Education
ISBN : 9783319971483

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International Handbook of Mathematical Learning Difficulties by Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen Pdf

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Handbook of Research on the Education of Young Children

Author : Bernard Spodek,Olivia N. Saracho
Publisher : Routledge
Page : 887 pages
File Size : 54,7 Mb
Release : 2014-01-27
Category : Education
ISBN : 9781135466138

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Handbook of Research on the Education of Young Children by Bernard Spodek,Olivia N. Saracho Pdf

The Handbook of Research on the Education of Young Children, Second Edition is an essential reference on research in early childhood education not only in the United States but throughout the world. It provides a comprehensive overview of important contemporary issues and the information necessary to make judgments about these issues. The field has changed significantly since the publication of the first edition of this Handbook in 1993, creating a need for an update. The Handbook of Research on the Education of Young Children, Second Edition is thus focused on research conducted over the past decade or so. The volume is organized in four parts: *Early Childhood Education and Child Development. New in this edition: moral development; the development of creativity. *Early Childhood Educational Curriculum. New in this edition: movement or dance education; the education of linguistically and culturally diverse children. *Foundations of Early Childhood Educational Policy. New in this edition: childhood poverty; the education of bilingual children. *Research and Evaluation Strategies for Early Childhood Education. New in this edition: doing historical research in early childhood education; postmodern and feminist orientations. The Handbook of Research on the Education of Young Children, Second Edition makes the expanding knowledge base related to early childhood education readily available and accessible. It is a valuable tool for all who work and study in the field.

Learning and Teaching Early Math

Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Page : 552 pages
File Size : 47,7 Mb
Release : 2009-04-01
Category : Education
ISBN : 9781135843793

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Learning and Teaching Early Math by Douglas H. Clements,Julie Sarama Pdf

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.

Mathematical Difficulties

Author : Anonim
Publisher : Elsevier
Page : 272 pages
File Size : 54,9 Mb
Release : 2008-07-25
Category : Psychology
ISBN : 0080559778

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Mathematical Difficulties by Anonim Pdf

This book examines the mathematical difficulties in typical and atypical populations. It discusses the behavioural, educational and neuropsychological characteristics of people with mathematical difficulties, and educational interventions to prevent, diagnose, treat or ameliorate such difficulties. The book brings together studies from different disciplines, including developmental psychology, neuroscience and education, and includes perspectives from practicing teachers. The book is divided into three major sections. The first includes chapters about the nature and characteristics of mathematical difficulties in the population as a whole, in relation to both psychology and education. The second deals with mathematical difficulties in children with other problems such as specific language impairment and dyslexia. The third discusses methods of interventions aimed at preventing, treating or ameliorating mathematical difficulties, and will include discussions of assessment and diagnosis.

Hypothetical Learning Trajectories

Author : Douglas H. Clements,Julie Sarama
Publisher : Psychology Press
Page : 188 pages
File Size : 42,5 Mb
Release : 2004
Category : Cognitive learning
ISBN : 9780805895445

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Hypothetical Learning Trajectories by Douglas H. Clements,Julie Sarama Pdf

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.