The Development of Arithmetic Concepts and Skills

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Author :
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

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Author :
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

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Author :
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 362 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 2017-08-01 with total page 362 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

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Author :
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.

Developing Arithmetic Concepts and Skills

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (54 download)

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Book Synopsis Developing Arithmetic Concepts and Skills by : Donald E. SHIPP (and ADAMS (Sam))

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

Arithmetic

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Author :
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Arithmetic by :

Download or read book Arithmetic written by and published by . This book was released on 1965 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conceptual and Procedural Knowledge

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Author :
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.

An Introduction to Mathematical Cognition

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1317410114
Total Pages : 265 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis An Introduction to Mathematical Cognition by : Camilla Gilmore

Download or read book An Introduction to Mathematical Cognition written by Camilla Gilmore and published by Taylor & Francis. This book was released on 2018-06-13 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics in the Early Years

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Author :
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics in the Early Years by : Juanita V. Copley

Download or read book Mathematics in the Early Years written by Juanita V. Copley and published by . This book was released on 1999 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noting that young children are capable of surprisingly complex forms of mathematical thinking and learning, this book presents a collection of articles depicting children discovering mathematical ideas, teachers fostering students' informal mathematical knowledge, adults asking questions and listening to answers, and researchers examining children's mathematical thinking. The chapters are: (1) "Why Do We Teach Young Children So Little Mathematics? Some Historical Considerations" (Balfanz); (2) "Children's Ways of Knowing: Lessons from Cognitive Development Research" (Sophian); (3) "The Sociology of Day Care" (McDill and Natriello); (4) "Cultural Aspects of Young Children's Mathematics Knowledge" (Guberman); (5) "Ready To Learn: Developing Young Children's Mathematical Powers" (Greenes); (6) "The Development of Informal Counting, Number, and Arithmetic Skills and Concepts" (Baroody and Wilkins); (7) "Geometric and Spatial Thinking in Young Children" (Clements); (8) "Rational-Number Learning in the Early Years: What Is Possible?" (Hunting); (9) "Young Children Doing Mathematics: Observations of Everyday Activities" (Ginsburg, Inoue, and Seo); (10) "Cognitively Guided Instruction in One Kindergarten Classroom" (Warfield and Yttri); (11) "Supporting Students' Ways of Reasoning about Patterns and Partitions" (McClain and Cobb); (12) "The Effective Use of Computers with Young Children" (Clements); (13) "Making Connections: A 'Number Curriculum' for Preschoolers" (Shane); (14) "Within Easy Reach: Using a Shelf-Based Curriculum To Increase the Range of Mathematical Concepts Accessible to Young Children" (Nelson); (15) "Teaching Mathematics through Musical Activities" (Kim); (16) "The Boston University--Chelsea Project" (Greenes); (17) "The Outdoors as a Context for Mathematics in the Early Years" (Basile); (18) "Using Storybooks To Help Young Children Make Sense of Mathematics" (Hong); (19) "Movement, Mathematics, and Learning: Experiences Using a Family Learning Model" (Coates and Franco); (20) "Math in Motion" (Goodway, Rudisill, Hamilton, and Hart); (21) "Assessing the Mathematical Understanding of the Young Child" (Copley); (22) "Improving Opportunities and Access to Mathematics Learning in the Early Years" (Padron); (23) "What To Do When They Don't Speak English: Teaching Mathematics to English-Language Learners in the Early Childhood Classroom" (Weaver and Gaines); (24) "Involving Parents of Four- and Five-Year-Olds in Their Children's Mathematics Education: The FAMILY MATH Experience" (Coates and Thompson); (25) "Perspectives on Mathematics Education and Professional Development through the Eyes of Early Childhood Administrators" (Weber); and (26) "Early Childhood Mathematics in Japan" (Hatano and Inagaki). (Each chapter contains references.) (KB)

Mathematical Difficulties

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Author :
Publisher : Elsevier
ISBN 13 : 0080559778
Total Pages : 273 pages
Book Rating : 4.0/5 (85 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 273 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.

Engaging Young Children in Mathematics

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Author :
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.

Handbook of Research on the Education of Young Children

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Author :
Publisher : Routledge
ISBN 13 : 1135466068
Total Pages : 619 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 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research on the Education of Young Children is the essential reference on research on early childhood education throughout the world. This singular resource provides a comprehensive overview of important contemporary issues as well as the information necessary to make informed judgments about these issues. The field has changed significantly since the publication of the second edition, and this third edition of the handbook takes care to address the entirety of vital new developments.A valuable tool for all those who work and study in the field?of early child.

Hypothetical Learning Trajectories

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Publisher : Psychology Press
ISBN 13 : 0805895442
Total Pages : 188 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Hypothetical Learning Trajectories by : Douglas H. Clements

Download or read book Hypothetical Learning Trajectories written by Douglas H. Clements and published by Psychology Press. This book was released on 2004 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Mathematical Challenges For All

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Publisher : Springer Nature
ISBN 13 : 3031188683
Total Pages : 580 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematical Challenges For All by : Roza Leikin

Download or read book Mathematical Challenges For All written by Roza Leikin and published by Springer Nature. This book was released on 2023-03-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.

Second Handbook of Research on Mathematics Teaching and Learning

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Author :
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 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 1380 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.

Educational Psychology

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Publisher : Routledge
ISBN 13 : 1317517547
Total Pages : 348 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Educational Psychology by : Tony Cline

Download or read book Educational Psychology written by Tony Cline and published by Routledge. This book was released on 2015-03-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Educational Psychology, Second Edition offers a comprehensive overview of how key advances in social, developmental and cognitive psychology impact upon the role of educational psychologists working today. Written by leading researchers, the book also explores controversies and dilemmas in both research and practice, providing students with a balanced and cutting-edge introduction to both the field and the profession. Fully revised throughout, the new edition is written to encourage students to integrate their understanding of core psychological disciplines, as well as to consider what ‘evidence-based practice’ really means. Organized into two broad sections related to learning and behaviour, the book features a selection of vignettes from educational psychologists working in a range of contexts, as well as tasks and scenarios to support a problem-orientated approach to study. By integrating both research and everyday practice, the book is unique in engaging a critical appreciation of both the possibilities and limitations of educational psychology. It is the ideal book for any student wishing to engage with this important and evolving field of study.

Learning and Teaching Early Math

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Author :
Publisher : Routledge
ISBN 13 : 1134080719
Total Pages : 395 pages
Book Rating : 4.1/5 (34 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 2014-05-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.