Understanding Mathematics For Young Children

Author: Derek Haylock
Editor: SAGE
ISBN: 1446204979
File Size: 18,11 MB
Format: PDF
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'This book is the ideal way to dispel some of the fears which surround the subject area of mathematics and should be an essential part of the professional development library of every early years setting provider for children aged three and over' - Early Years Update 'A book that is both readable and rigorous. [Its] guidance will help teachers to make mathematics meaningful to young children. Throughout the book connections are made which relate language, symbols, concrete materials and pictures to the key ideas that are central to effective learning for the 21st century. This book will help teachers gain a depth of understanding that will make them confident in engaging children with real mathematical thinking' - Dr J.E. Anghileri, Senior Lecturer in Mathematics and Mathematics Education, Faculty of Education, University of Cambridge 'This is an updated version of a classic text which has been a best -seller among teachers and student teachers for many years. Being always strongly grounded in the classroom, it develops in a non-intimidating way teachers' own understanding of the mathematics they are teaching. Many insightful examples of children's thinking and appropriate activities help to illustrate the points. This is an essential book for teachers of Early Years and Key Stage 1' - Margaret Brown, Professor of Mathematics Education, King's College London, UK This is a fully revised version of the authors' successful and much-used book, Understanding Mathematics in the Lower Primary Years, updated to include the current Foundation Stage Curriculum and the new Primary Framework in England. The authors empower the reader to have a clearer understanding of the mathematical ideas behind the material they use in the classroom. They also show how children can be helped to develop an understanding of mathematics for themselves, rather than just learning recipes and routines with little meaning. Major themes are: - Understanding through making connections - Equivalence and transformation - Using and applying mathematics It is written for teachers and teacher trainees engaged in teaching mathematics to children aged 3 to 8 years. It is an essential student text and professional reference work for all teachers of children aged 3 to 8 years. Dr Derek Haylock is an education consultant and author, working in the field of mathematics education. His book Mathematics Explained for Primary Teachers has been a leader in the field for many years, with a third edition published in 2006. Dr Anne Cockburn is a Reader in the School of Education and Lifelong Learning at the University of East Anglia, Norwich. Watch the authors talking about their book here: YouTube

Understanding Mathematics For Young Children

Author: Derek Haylock
Editor: SAGE
ISBN: 1446289370
File Size: 63,38 MB
Format: PDF, Kindle
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Lecturers, why waste time waiting for the post arrive? Request your e-inspection copy today! 'This book was a delight to read. The mathematical content is excellent and the approach to explaining complex concepts is exceptionally good!' -Dr Jennifer Way, University of Sydney 'I'm a really big fan of this book: it is the single most influential text in my experience of working with primary maths teachers in the last 12 years' - Andy Tynemouth, Every Child Counts National Adviser, Edge Hill University 'Every teacher of maths should read this book! It helped me realize why some children are struggling with doing simple word problems' -Amazon reader review If you are a teacher or student teacher in a nursery or primary school, you need a secure understanding of the mathematical ideas behind the material you will use in the classroom. To help young children develop their understanding of mathematics, you need to develop your own understanding of how mathematics is learnt. In this indispensible book, the authors help you to understand mathematical concepts and how children come to understand them, and also help develop your own confidence with mathematical activities. Each chapter of this book includes: -Real-life examples and illustrations from children and teachers in the classroom -The research behind some of the concepts and teaching approaches discussed -Pauses to reflect and discuss your own mathematical knowledge and experience -Age-appropriate classroom activities to try with your class or group.

Understanding Mathematics For Young Children

Author: Derek Haylock
Editor: SAGE
ISBN: 1526410001
File Size: 11,65 MB
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Having a deep understanding of the mathematical ideas and concepts taught in the classroom is vital as a nursery or primary school teacher. In order for children to get to grips with these concepts, trainee teachers need to be aware of how they come to interpret and understand them. Now in its 5th edition, this essential book helps trainee teachers develop their own knowledge of key mathematical ideas and concepts for the nursery and primary classroom. Now focusing specifically on ages 3-7, it also supports trainees with several age-appropriate classroom activities. As well as updates to further reading suggestions and research focuses, this revised edition includes new content on: Mastery in learning mathematics Simple fractions Roman numerals Money as a form of measurement

Teaching Young Children Mathematics

Author: Janice Minetola
Editor: Routledge
ISBN: 113617544X
File Size: 65,16 MB
Format: PDF, Mobi
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Teaching Young Children Mathematics provides a comprehensive overview of mathematics instruction in the early childhood classroom. Taking into account family differences, language barriers, and the presence of special needs students in many classrooms throughout the U.S., this textbook situates best practices for mathematics instruction within the larger frameworks of federal and state standards as well as contemporary understandings of child development. Key topics covered include: developmental information of conceptual understanding in mathematics from birth through 3rd grade, use of national and state standards in math, including the new Common Core State Standards, information for adapting ideas to meet special needs and English Language Learners, literacy connections in each chapter, ‘real-world’ connections to the content, and information for family connections to the content.

Engaging Young Children In Mathematics

Author: Douglas H. Clements
Editor: Routledge
ISBN: 0805842101
File Size: 64,14 MB
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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.

Experiences In Math For Young Children

Author: Rosalind Charlesworth
Editor: Cengage Learning
ISBN:
File Size: 40,47 MB
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Section 1 describes how math concepts are developed, acquired, promoted and assessed. Section 2 describes fundamental concepts of counting, number sets, shape, space, parts and whole. Section 3 includes applications; measuring volume, weight, length, temperature, graphs and time. It also includes thematic units. Section 4 describes higher level activities; symbols and sets. Section 5 includes concepts & operation for primary grades; patterns, fractions, geometry, graphs, charts and standard units of measure.

Investigating Mathematics With Young Children

Author: Rosemary Althouse
Editor: Teachers College Press
ISBN: 9780807733493
File Size: 15,59 MB
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Om matematikundervisning for 3-5 årige børn.

Fun And Fundamental Math For Young Children

Author: Marian Small
Editor: Teachers College Press
ISBN: 0807776963
File Size: 40,75 MB
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Educators of young children who don’t yet know the work of Marian Small are in for a gift—a treasure trove to enhance their teaching and thinking about math. This book focuses on the most important concepts and skills needed to provide early learners (preK–2) with a strong foundation in mathematics, in ways that are fun for both children and educators! For each mathematical concept, professional developer Marian Small provides sample activities and lessons, as well as guidance for using children’s books, games, manipulatives, and electronic devices. This resource also demonstrates how to differentiate instruction using tasks and questions designed to include all students. Like other Marian Small bestsellers, the text features her special brand of lucid explanation of difficult concepts, fresh and engaging teaching examples, troubleshooting tips, and formative assessments. Fun and Fundamental Math for Young Children is separated into special grade level sections for pre-K, kindergarten, first grade, and second grade. It can be used with any early childhood curriculum or as a stand-alone program in preschools. Marian Small is available for in-person and online professional development. “Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.” —From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia “Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.” —Herbert Ginsburg, professor emeritus, Teachers College, Columbia University “I love this book! The ideas are invaluable and the attention to detail is amazing.” —Nicki Newton, math consultant

Teaching Young Children Mathematics

Author: Sydney L. Schwartz
Editor: Rowman & Littlefield Publishers
ISBN: 9781578867011
File Size: 15,50 MB
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Children learn mathematics most effectively in contexts that are meaningful to them. In order to realize the potential of those contexts for fostering young children's mathematical learning, knowledge or mathematics as well as child development is the way to nurture and challenge children's thinking. Avoiding the debates surrounding "hands-on" learning vs. direct instruction, the author focuses on the value of different contexts for learning and illustrates ways to genuinely engage children as active learners. The work is rich with examples of children's interactions with each other and with adults as they utilize and extend their understanding of mathematics. Examples and guidelines for developing lessons and activities will be useful to educators and parents. Chapters explore such topics as: how we underestimate young children's mathematical capabilities; how appropriate sequencing of learning and building on prior knowledge will enhance understanding; what teachers, including parent-teachers, need to know; and high-stakes testing. This is a work that brings together the connections between knowing the basics and constructing knowledge in accessible and practical ways.

Understanding Children S Mathematical Graphics Beginnings In Play

Author: Carruthers, Elizabeth
Editor: McGraw-Hill Education (UK)
ISBN: 0335237762
File Size: 19,16 MB
Format: PDF, Kindle
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Key features include: --

Mathematics In The Early Years

Author: Juanita V. Copley
Editor: National Council of Teachers of
ISBN:
File Size: 45,66 MB
Format: PDF, Kindle
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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)

Zero For Parents And Teachers Or Almost All You Need To Know About Mathematics For Young Children

Author: Anne D. Cockburn
Editor: Cambridge Scholars Publishing
ISBN: 152755712X
File Size: 62,84 MB
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Mathematics for Young Children is a book for people who feel nervous or uncertain about teaching maths to young children. If you are anxious and confused about the subject this might just be the book you are looking for! It covers all the basic topics young children need to know about maths. It starts at the beginning and, in an open and friendly way, opens new horizons exploring fundamental ideas you may never have known you never knew. Had you realised that, for example, zero (0) means much more than simply nothing, you might have found yourself enjoying maths at school. The book begins by introducing six young friends who follow us through each chapter, providing a range of fun activities for you and your children to further your mathematical confidence. Written by early years educators, this book will offer safe and sympathetic guidance for any reader.

Contemporary Perspectives On Mathematics In Early Childhood Education

Author: Olivia Saracho
Editor: IAP
ISBN: 1607526379
File Size: 20,91 MB
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This volume provides a comprehensive critical analysis of the research in mathematics education for young children. The researchers who conducted the critical analysis focused on the relationship between (1) mathematics learning in the early years and domain specific approaches to cognitive development, (2) the children’s social learning and their developing understanding of math, and (3) the children’s learning in a natural context and their understanding of mathematics concepts. The work of these scholars can help guide those researchers who are interested in pursuing studies in early childhood mathematics in a specific area of study. This volume will facilitate the research conducted by both novice and expert researchers. The volume has accomplished its major goals, which consists of critically analyzing important research in a specific area that would be most useful in advancing the field and provide recommendations for both researchers and educators.

Mathematizing

Author: Allen C. Rosales
Editor: Redleaf Press
ISBN: 1605543969
File Size: 74,49 MB
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This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.

Math And Science For Young Children

Author: Rosalind Charlesworth
Editor: Cengage Learning
ISBN: 1305686373
File Size: 13,45 MB
Format: PDF
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MATH AND SCIENCE FOR YOUNG CHILDREN, Eighth Edition, introduces readers to engaging math and science experiences for early childhood and early elementary education programs, and provides an organized, sequential approach to creating a developmentally appropriate math and science curriculum. The content aligns with key guidelines and standards: The National Association for the Education of Young Children's (NAEYC) Professional Preparation Standards (2010); Developmentally Appropriate Practice (DAP) guidelines; Common Core Mathematics Standards; and Next Generation Science Standards (NGSS). The book also addresses STEM/STEAM and the essential domains of child growth and development during the crucial birth-through-eight age range. A valuable resource for the student/future teacher, working professional, or involved parent, MATH AND SCIENCE FOR YOUNG CHILDREN emphasizes the interrelatedness of math and science and how they can be integrated into all other curriculum areas. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Mathematics Learning In Early Childhood

Author: National Research Council
Editor: National Academies Press
ISBN: 0309128064
File Size: 16,38 MB
Format: PDF
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Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Understanding Mathematics In The Lower Primary Years

Author: Derek Haylock
Editor: SAGE
ISBN: 9780761941040
File Size: 59,62 MB
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New Edition of Best Seller! This is a fully revised and updated edition of the authors' successful and much-used book and was written for those who wish to have a clearer understanding of the mathematical ideas behind the material they use in the classroom.

Understanding Mathematics In The Lower Primary Years

Author: Derek Haylock
Editor: Paul Chapman Educational Publishing
ISBN:
File Size: 72,63 MB
Format: PDF
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`There have been few mathematical texts which cause readers to smile, but one of the great strengths of this book is the consistent good humour. Hiding in the explanations of more abstract concepts are unexpected images, such as the "two thousand sets of zero elephants placed inside these brackets [ ]", which surprise and entertain, and so render difficult ideas memorable' - Mathematics Education Review This is a substantially revised and expanded edition of the authors' earlier book, Understanding Early Years Mathematics. It is written for teachers and student-teachers working with children aged four to eight year olds. It provides them with a clearer understanding of the mathematical material they d

Mathematics For Young Children

Author: Marion H. Bird
Editor: Routledge
ISBN: 9780415064798
File Size: 16,59 MB
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Big Ideas Of Early Mathematics

Author: Jeanine O'Nan Brownell
Editor: Pearson
ISBN: 9780132946971
File Size: 13,39 MB
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"The Big Ideas that convey the core concepts of mathematics are at the heart of this new book that gives early childhood educators the skills they 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. It's the perfect guide for those who want to focus their instruction on mathematics that is central, coherent, and rigorous. In it, readers see clearly why building early foundations in math matters, why teachers' understanding of foundational math matters, and why the methods used to teach it matter. Developed by the Erikson Institute's Early Math Collaborative team, the book groups the Big Ideas into nine chapter on topics that are familiar to early childhood teachers-sets, pattern and regularity, number, counting, operations, measurement, data analysis, shapes, and spatial thinking. The work is in keeping with the content strands identified by the National Council of Teachers of Mathematics (NCTM), and maps pathways to help teachers meet the Common Core State Standards for Mathematics." -- publisher website.