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The Development of Children's Number Ideas in the Primary Grades

The Development of Children's Number Ideas in the Primary Grades PDF Author: William Arthur Brownell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 268

Book Description
This monograph reports an experimental study of the development of children's number ideas in the primary grades. The children who were study subjects has all had at least two months of school training; it was not possible, therefore, to deal with the earliest beginnings of number knowledge such as number names, or the earliest forms of skill in the use of numbers, such as the ability to count. This study attempted to isolate the factors involved in the ability to apprehend visual concrete numbers, and to measure the influence of these factors in the development of that ability. The goal of this study is to develop a coherent description of the learning processes exhibited in acquiring primary arithmetic, and to develop principles for teaching primary number which are consistent with this description of the learning process.

The Development of Children's Number Ideas in the Primary Grades

The Development of Children's Number Ideas in the Primary Grades PDF Author: William Arthur Brownell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 268

Book Description
This monograph reports an experimental study of the development of children's number ideas in the primary grades. The children who were study subjects has all had at least two months of school training; it was not possible, therefore, to deal with the earliest beginnings of number knowledge such as number names, or the earliest forms of skill in the use of numbers, such as the ability to count. This study attempted to isolate the factors involved in the ability to apprehend visual concrete numbers, and to measure the influence of these factors in the development of that ability. The goal of this study is to develop a coherent description of the learning processes exhibited in acquiring primary arithmetic, and to develop principles for teaching primary number which are consistent with this description of the learning process.

Number Sense Routines

Number Sense Routines PDF Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
ISBN: 1571107908
Category : Education
Languages : en
Pages : 194

Book Description
Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

Big Ideas of Early Mathematics

Big Ideas of Early Mathematics PDF Author: The Early Math Collaborative- Erikson Institute
Publisher: Pearson Higher Ed
ISBN: 0133259951
Category : Education
Languages : en
Pages : 209

Book Description
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.

Handbook of Child Psychology, Cognition, Perception, and Language

Handbook of Child Psychology, Cognition, Perception, and Language PDF Author: William Damon
Publisher: John Wiley & Sons
ISBN: 0470050543
Category : Psychology
Languages : en
Pages : 1072

Book Description
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 2: Cognition, Perception, and Language, edited by Deanna Kuhn, Columbia University, and Robert S. Siegler, Carnegie Mellon University, covers mechanisms of cognitive and perceptual development in language acquisition. It includes new chapters devoted to neural bases of cognition, motor development, grammar and langauge rules, information processing, and problem solving skills.

Transforming the Workforce for Children Birth Through Age 8

Transforming the Workforce for Children Birth Through Age 8 PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309324882
Category : Social Science
Languages : en
Pages : 587

Book Description
Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

The Development of Multiplicative Reasoning in the Learning of Mathematics

The Development of Multiplicative Reasoning in the Learning of Mathematics PDF Author: Guershon Harel
Publisher: SUNY Press
ISBN: 9780791417638
Category : Education
Languages : en
Pages : 448

Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.

Teach Smarter

Teach Smarter PDF Author: Vanessa J. Levin
Publisher: John Wiley & Sons
ISBN: 111969888X
Category : Education
Languages : en
Pages : 192

Book Description
Discover new, practical methods for teaching literacy skills in your early childhood classroom. Has teaching early literacy skills become a stumbling block to getting your preschool students kindergarten ready? Break out of the tired “letter of the week” routine and learn how to transform your lessons with fun and effective techniques. Teach Smarter: Literacy Strategies for Early Childhood Teachers will equip teachers to infuse every aspect of their teaching with exciting hands-on literacy teaching methods that engage students and help them build authentic connections with books, so that 100% of their students will have a strong literacy foundation and will be fully prepared for success in kindergarten and beyond. Respected author Vanessa Levin, veteran early childhood educator and author of the “Pre-K Pages” blog, breaks down the research and translates it into realistic, actionable steps you can take to improve your teaching. Features specific examples of teaching techniques and activities that engage students in hands-on, experiential learning during circle time, centers, and small groups. Offers a simple, four-step system for teaching literacy skills, based on the foundational principles of early literacy teaching Demonstrates how to build your confidence in your ability to get 100% of your students ready for kindergarten, long before the end of the school year Understand the problems with traditional literacy teaching and identify gaps in your current teaching practice with this valuable resource.

Constructing Number

Constructing Number PDF Author: Anderson Norton
Publisher: Springer
ISBN: 3030004910
Category : Education
Languages : en
Pages : 377

Book Description
The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Publication

Publication PDF Author: New York (N.Y.). Bureau of Educational Research
Publisher:
ISBN:
Category :
Languages : en
Pages : 216

Book Description


The Young Child and Mathematics, Third Edition

The Young Child and Mathematics, Third Edition PDF Author: Angela Chan Turrou
Publisher:
ISBN: 9781938113932
Category : Education
Languages : en
Pages : 128

Book Description
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!