The Development Of Arithmetic Concepts And Skills

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The Development of Arithmetic Concepts and Skills

Author : Arthur J. Baroody
Publisher : Routledge
ISBN 13 : 1135672237
Total Pages : 513 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis The Development of Arithmetic Concepts and Skills by : Arthur J. Baroody

Download or read book The Development of Arithmetic Concepts and Skills written by Arthur J. Baroody and published by Routledge. This book was released on 2013-06-17 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher :
ISBN 13 : 9780814106075
Total Pages : 494 pages
Book Rating : 4.1/5 (6 download)

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Book Synopsis The Development of Arithmetic Concepts and Skills by : Arthur J. Baroody

Download or read book The Development of Arithmetic Concepts and Skills written by Arthur J. Baroody and published by . This book was released on 2003 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 360 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by : David C. Geary

Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-02-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9780863778162
Total Pages : 356 pages
Book Rating : 4.7/5 (781 download)

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Book Synopsis The Development of Mathematical Skills by : Chris Donlan

Download or read book The Development of Mathematical Skills written by Chris Donlan and published by Taylor & Francis. This book was released on 1998 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Child Psychology, Child Psychology in Practice

Author : William Damon
Publisher : John Wiley & Sons
ISBN 13 : 0470050551
Total Pages : 1105 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Handbook of Child Psychology, Child Psychology in Practice by : William Damon

Download or read book Handbook of Child Psychology, Child Psychology in Practice written by William Damon and published by John Wiley & Sons. This book was released on 2007-07-30 with total page 1105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the authoritative four-volume reference that spans the entire field of child development and has set the standard against which all other scholarly references are compared. Updated and revised to reflect the new developments in the field, the Handbook of Child Psychology, Sixth Edition contains new chapters on such topics as spirituality, social understanding, and non-verbal communication. Volume 4: Child Psychology in Practice, edited by K. Ann Renninger, Swarthmore College, and Irving E. Sigel, Educational Testing Service, covers child psychology in clinical and educational practice. New topics addressed include educational assessment and evaluation, character education, learning disabilities, mental retardation, media and popular culture, children's health and parenting.

Conceptual and Procedural Knowledge

Author : James Hiebert
Publisher : Routledge
ISBN 13 : 1136559833
Total Pages : 357 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Conceptual and Procedural Knowledge by : James Hiebert

Download or read book Conceptual and Procedural Knowledge written by James Hiebert and published by Routledge. This book was released on 2013-08-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Handbook of Mathematical Cognition

Author : Jamie I.D. Campbell
Publisher : Psychology Press
ISBN 13 : 1135423652
Total Pages : 528 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis The Handbook of Mathematical Cognition by : Jamie I.D. Campbell

Download or read book The Handbook of Mathematical Cognition written by Jamie I.D. Campbell and published by Psychology Press. This book was released on 2005-08-15 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Developing Arithmetic Concepts and Skills

Author : Donald E. Shipp
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Developing Arithmetic Concepts and Skills by : Donald E. Shipp

Download or read book Developing Arithmetic Concepts and Skills written by Donald E. Shipp and published by . This book was released on 1964 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 725 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Engaging Young Children in Mathematics

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 0805842101
Total Pages : 474 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Engaging Young Children in Mathematics by : Douglas H. Clements

Download or read book Engaging Young Children in Mathematics written by Douglas H. Clements and published by Routledge. This book was released on 2004 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

International Handbook of Mathematical Learning Difficulties

Author : Annemarie Fritz
Publisher : Springer
ISBN 13 : 3319971484
Total Pages : 834 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis International Handbook of Mathematical Learning Difficulties by : Annemarie Fritz

Download or read book International Handbook of Mathematical Learning Difficulties written by Annemarie Fritz and published by Springer. This book was released on 2019-01-30 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Precursor Math Concepts

Author : Mary Hynes-Berry
Publisher : Teachers College Press
ISBN 13 : 0807779954
Total Pages : 258 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Precursor Math Concepts by : Mary Hynes-Berry

Download or read book Precursor Math Concepts written by Mary Hynes-Berry and published by Teachers College Press. This book was released on 2021 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Research on the Education of Young Children

Author : Bernard Spodek
Publisher : Routledge
ISBN 13 : 1135466130
Total Pages : 887 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Handbook of Research on the Education of Young Children by : Bernard Spodek

Download or read book Handbook of Research on the Education of Young Children written by Bernard Spodek and published by Routledge. This book was released on 2014-01-27 with total page 887 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Precursor Math Concepts

Author : Mary Hynes-Berry
Publisher :
ISBN 13 : 9780807766118
Total Pages : 112 pages
Book Rating : 4.7/5 (661 download)

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Book Synopsis Precursor Math Concepts by : Mary Hynes-Berry

Download or read book Precursor Math Concepts written by Mary Hynes-Berry and published by . This book was released on 2021-11-26 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1135843791
Total Pages : 552 pages
Book Rating : 4.1/5 (358 download)

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Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements

Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2009-04-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concept-Based Mathematics

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
ISBN 13 : 150633265X
Total Pages : 307 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Concept-Based Mathematics by : Jennifer T.H. Wathall

Download or read book Concept-Based Mathematics written by Jennifer T.H. Wathall and published by Corwin Press. This book was released on 2016-01-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

Mathematical Difficulties

Author :
Publisher : Elsevier
ISBN 13 : 9780080559773
Total Pages : 272 pages
Book Rating : 4.5/5 (597 download)

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Book Synopsis Mathematical Difficulties by :

Download or read book Mathematical Difficulties written by and published by Elsevier. This book was released on 2008-07-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.