How To Recognise And Support Mathematical Mastery In Young Children S Play

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How to Recognise and Support Mathematical Mastery in Young Children’s Play

Di Chilvers
How to Recognise and Support Mathematical Mastery in Young Children s Play Book PDF

Author : Di Chilvers
Publisher : Routledge
Page : 245 pages
File Size : 40,6 Mb
Release : 2021-07-12
Category : Education
ISBN : 9780429649394

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How to Recognise and Support Mathematical Mastery in Young Children’s Play by Di Chilvers Pdf

This book explains how young children develop mathematically in their earliest years and shows the support and teaching needed by adults to accelerate their progress and attainment, helping them master mathematical concepts and skills. The practical guidance has been carefully developed over a number of years and is based on research undertaken with primary schools in Sheffield as part of the 'Talk for Maths Mastery' initiative. It recognises that children’s mathematical development is embedded within child-led play and connected to deeper levels of thinking and wider dispositions for learning. Maths is happening everywhere at any moment; we just need to keep an open mind, open eyes, and listen. Including case studies, links to practice and reflective questions, the chapters reveal what mastery orientation looks like from the children’s perspective in their learning and covers: children’s serve and return conversational talk mathematical babies and their developmental momentum schematic patterns of thinking mathematical mark-making child-led play problem solving creative and critical thinking how adults can support children’s mathematical talk, thinking and mastery This book will help all early years practitioners and teachers working with children throughout the EYFS and KS1 build their understanding, knowledge, experience and confidence of engaging in early mathematics.

Understanding Children's Mathematical Graphics: Beginnings in Play

Elizabeth Carruthers,Maulfry Worthington
Understanding Children s Mathematical Graphics Beginnings in Play Book PDF

Author : Elizabeth Carruthers,Maulfry Worthington
Publisher : McGraw-Hill Education (UK)
Page : 234 pages
File Size : 53,5 Mb
Release : 2011-04-16
Category : Education
ISBN : 9780335240791

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Understanding Children's Mathematical Graphics: Beginnings in Play by Elizabeth Carruthers,Maulfry Worthington Pdf

This book challenges traditional beliefs and practices of teaching 'written' mathematics in early childhood. It gives theoretical underpinnings and offers exciting insights and context to children's early mathematical thinking and in particular into children's mathematical graphics, showing how this supports their understanding of the abstract symbolic language of mathematics. Drawing on a wide range of examples, it illustrates and explains how children explore and communicate their mathematical thinking through their mathematical graphics, and how this begins in play. The book looks at the power of children's own marks, symbols and other graphical representations to convey meanings, exploring how they support complex thinking. The authors explore the relationship between children's play and meaning making. Rather than viewing mathematics as a separate subject or as a set of basic 'skills' to be transmitted, they demonstrate that in supportive learning cultures children develop their own mathematical thinking to solve problems. Key features include: Numerous new examples and case studies of children from birth to 8 years,highlighting the complexity and richness of children's thinking Explanation of pedagogical issues - showing how they can support rich play and mathematics Draws on the authors' latest research This book is valuable reading for students, teachers, primary mathematics coordinators' and all early years' professionals working in the Early Years Foundation Stage and Key Stage One.

EBOOK: Supporting Mathematical Development in the Early Years

Linda Pound
EBOOK Supporting Mathematical Development in the Early Years Book PDF

Author : Linda Pound
Publisher : McGraw-Hill Education (UK)
Page : 176 pages
File Size : 52,5 Mb
Release : 2006-05-16
Category : Education
ISBN : 9780335227501

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EBOOK: Supporting Mathematical Development in the Early Years by Linda Pound Pdf

Review of the first edition “All the major areas of early childhood maths teaching and learning are covered in this powerful book… The book is also full of delightful stories… [It] would be eminently suitable for beginning and trainee teachers but would also be helpful to all those concerned in early years settings. All the relevant information is here, based on a wealth of knowledge and experience.” TES Supporting Mathematical Development in the Early Years provides practical guidance for parents, teachers and other early years workers who want to give children a good start in mathematical development. Showing how competent children are as mathematicians from an early age, the book offers an overview of young children’s mathematical behaviour at home and in early years settings. The book defines the content and the learning curriculum required to promote mathematical thinking, including an examination of the relationship between mathematics and language learning, and the role of other cross-curricular aspects such as information and communications technology (ICT). It explores the role of staff in observing, planning for and supporting children’s learning by using a variety of strategies, and makes suggestions for promoting effective partnerships between the parents or principal carers and early years staff. The book also considers the importance of play and imagination to the development of abstract thought. The second edition is comprehensively updated throughout and includes new material on Special Educational Needs, the very early years, the role of play, the role of ICT, and examples of outdoor play. It is essential reading for early years teachers and students, as well as parents who want to understand and develop their children’s early mathematical learning.

Early Childhood Education

Cathy Nutbrown
Early Childhood Education Book PDF

Author : Cathy Nutbrown
Publisher : SAGE
Page : 191 pages
File Size : 41,8 Mb
Release : 2023-02-04
Category : Education
ISBN : 9781529613032

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Early Childhood Education by Cathy Nutbrown Pdf

This book provides an overview of current practice, policy, and research in early childhood education across the UK. It brings together chapters on all core aspects of early years education and spotlighting vital new areas - each written by established and emerging stars in the field. Each chapter features: • an overview of research in the field • critiques of relevant policy • examples from current practice • an agenda for the future • suggestions for further reading and resources. This text is an accessible and comprehensive read for students and practitioners in the early years sector alike. Cathy Nutbrown is Professor of Education at the University of Sheffield and President of Early Education

Children′s Mathematics

Elizabeth Carruthers,Maulfry Worthington
Children s Mathematics Book PDF

Author : Elizabeth Carruthers,Maulfry Worthington
Publisher : SAGE
Page : 363 pages
File Size : 45,7 Mb
Release : 2006-08-07
Category : Education
ISBN : 9781446224373

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Children′s Mathematics by Elizabeth Carruthers,Maulfry Worthington Pdf

′In Case Study 5 (a grassroots ′Children′s Mathematics Network group′) the initiative supported the participants in their professional change by giving them a space for the detailed and joint consideration of children′s mathematical thinking. Another significant feature of this initiative is its focus on careful consideration and analysis of children′s mathematics, and the ways in which professionals can support and encourage the children′s mathematical thinking and reasoning... The standard of the mathematical understanding, thinking and reasoning that the displays revealed was far higher than the specified curriculum objectives for children of this age...′ - Researching Effective CPD in Mathematics Education (RECME) project: (NCETM, 2009) ′The review also plays great score by play-based learning of a mathematical nature, and makes specific recommendations regarding early mark-making as a precursor to abstract mathematical symbolism′. Section 115 features children′s mathematical graphics and emphasises: ′The role of mark-making in children′s cognitive development is set out in the taxonomy (Carruthers and Worthington, 2006)′. The report recommends that ′local authorities, leaders, managers and head teachers should provide a culture with a significant focus on mathematical mark-making′ and ′a learning environment that encourages children to choose to use their own mathematical graphics to support their mathematical thinking and processes′ - The Williams Maths Review: (DCSF, 2008) `At the very heart of the success of the book is the authors′ ability to see mathematics through young children′s eyes by listening to and reflecting on the constant efforts made by children to make sense of their world. This is a liberating book which proposes that the teaching of mathematics could and should be a highly creative and enjoyable proceess′ - Branwen Llewelyn Jones, Early Years Consultant at PACE Ltd / TACTYC ′Ground breaking... To single out any one chapter would be unfair because there is something thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon′ - Times Educational Supplement ′I first read Children′s Mathematics, Making Marks, Making Meaning a couple of years ago and it had an immediate impact on my own thinking and teaching, and the work I do with trainee teachers. I′m sure you will find it compelling reading too. I think it has the potential to change, in a fundamental way, how we think about early mathematical development′ - Lynne McClure, Editor, Math Co-ordiator′s File, Mathematics Association ′In their exceptionally readable and informative book, Children′s Mathematics, Making Marks, Making Meaning Carruthers and Worthington (2006) draw attention to one of the main goals of early years teaching, that is, to help children make links between the mathematics they have already encountered (and continue to engage with) at home and the more abstract mathematics of the school. These authors suggest that by encouraging children to represent mathematical ideas in their own ways and, crucially, by talking to the pupils about the marks they have made, we are given a "window" onto their thinking that may otherwise be inaccessible′ - Liz Pumphrey, NRICH This book draws on the authors′ many years of teaching children aged three to eight years and also on their extensive research with children in the home, nursery and school. The authors explain the development and range of young children′s mathematical marks and visual representations, showing how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods. Combining theory and practice, this acclaimed book demonstrates how children′s own mathematical graphics are highly creative and show deep levels of thinking. The authors show how this is the key to success in school mathematics and to higher levels of achievement. The authors are winners of TACTYC′s (2003) Jenefer Joseph Award for the Creative Arts (3 - 8) - awarded for their innovative work with children on mathematical graphics.

Mastery and Depth in Primary Mathematics

Fay Lewis,Amanda Wilkinson,Marcus Witt
Mastery and Depth in Primary Mathematics Book PDF

Author : Fay Lewis,Amanda Wilkinson,Marcus Witt
Publisher : Routledge
Page : 111 pages
File Size : 40,7 Mb
Release : 2022-01-24
Category : Education
ISBN : 9781000517934

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Mastery and Depth in Primary Mathematics by Fay Lewis,Amanda Wilkinson,Marcus Witt Pdf

The UK National Curriculum is clear about the importance of reasoning and problem-solving in mathematics. Mastery and Depth in Primary Mathematics aims to support trainee and established teachers to embed mathematical thinking into their lessons. The authors focus on practical and actionable ways that primary teachers can develop their children’s mathematical thinking, reasoning and problem-solving: ideas which are at the heart of the UK National Curriculum. Covering a range of areas in mathematical thinking such as reasoning, problem-solving and pattern-spotting, as well as systematic and investigative thinking, each chapter provides clear examples of how teachers can make small, manageable ‘rich tweaks’ to their existing lessons to increase the opportunities for children to develop their mathematical thinking. Teachers will be able to dip into the book and find inspiration and ideas that they can use immediately and, importantly, develop a set of principles and skills which will enable them to take any mathematical activity and tweak it to develop their pupils’ thinking skills. This practical guide will be invaluable to all trainee teachers and early-career teachers that wish to enhance their primary mathematics teaching.

Young Children as Mathematicians

Dianna Mannigel
Young Children as Mathematicians Book PDF

Author : Dianna Mannigel
Publisher : Unknown
Page : 256 pages
File Size : 49,9 Mb
Release : 1992
Category : Mathematics
ISBN : PSU:000022191700

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Young Children as Mathematicians by Dianna Mannigel Pdf

This text is for students in early childhood teacher education courses. It focuses on mathematics education with children from three to eight years, in preschool and the early primary grades. It could also be used by teachers wishing to become familiar with maths in these early childhood years. The integration of theory and practice occurs through topics about how children learn, what they learn as young mathematicians, the provision of an appropriate learning environment, and relevant teaching strategies. The text provides a developmental basis for new approaches to mathematics education, and explains how teachers can organise the learning environment so children can construct their own knowledge. It steers a middle course between closed, over-structured teaching and laissez- faire, unsupported experience. Detailed lists of developmental sequences help teachers to identify children's mathematical thinking so they can offer appropriate support at the right time. It offers guidance in the use of curriculum documents from state education departments, for developing a mathematics program. In view of increasing use of games in maths education, a chapter offers not only games, but general principles about the use, purchase and adaptation of games. Each chapter includes activities for students.

Transforming the Workforce for Children Birth Through Age 8

National Research Council,Institute of Medicine,Board on Children, Youth, and Families,Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success
Transforming the Workforce for Children Birth Through Age 8 Book PDF

Author : National Research Council,Institute of Medicine,Board on Children, Youth, and Families,Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success
Publisher : National Academies Press
Page : 706 pages
File Size : 54,5 Mb
Release : 2015-07-23
Category : Social Science
ISBN : 9780309324885

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Transforming the Workforce for Children Birth Through Age 8 by National Research Council,Institute of Medicine,Board on Children, Youth, and Families,Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success Pdf

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.

Learning and Teaching Mathematics 0-8

Helen Taylor,Andrew Harris
Learning and Teaching Mathematics 0 8 Book PDF

Author : Helen Taylor,Andrew Harris
Publisher : SAGE
Page : 280 pages
File Size : 48,6 Mb
Release : 2013-11-14
Category : Education
ISBN : 9781446293096

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Learning and Teaching Mathematics 0-8 by Helen Taylor,Andrew Harris Pdf

'What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I'm no good at..."' - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children's learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.

Mathematics Through Play in the Early Years

Kate Tucker
Mathematics Through Play in the Early Years Book PDF

Author : Kate Tucker
Publisher : SAGE
Page : 161 pages
File Size : 46,6 Mb
Release : 2014-01-14
Category : Education
ISBN : 9781446297858

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Mathematics Through Play in the Early Years by Kate Tucker Pdf

′The book is grounded in the latest research about how children become effective learners, particularly in relation to mathematics. Bringing together research and practice in an accessible way, Kate Tucker provides an essential resource for all those who work with young children. I strongly recommend it!′ - Dr Sue Rogers, Head of Department of Early years and Primary Education, Institute of Education Offering practical examples of focused, playful teaching this popular book is back for a third edition, with even more activities to use in your setting with children aged from 3 to 8. Completely updated to include the revised Early Years Foundation Stage, this new edition covers all the hot topics in the field, and now includes: a new section on teaching mathematics in Forest School more coverage of using ICT to teach mathematics more coverage of children with Special Educational Needs (SEN) a key vocabulary section at the end of each chapter, and a detailed glossary expanded and updated suggestions for Further Reading even more activities to use in lessons, with some extended to include 7-8 year olds With a user-friendly layout, this new edition is an ideal resource for practitioners wishing to enhance their mathematics teaching, and for students wishing to develop their knowledge and understanding of how to use play to teach mathematics. Kate Tucker is an early years teacher, trainer and writer based in Devon.

Kinaesthetic Learning in Early Childhood

Georgina Barton,Susanne Garvis
Kinaesthetic Learning in Early Childhood Book PDF

Author : Georgina Barton,Susanne Garvis
Publisher : Taylor & Francis
Page : 138 pages
File Size : 51,9 Mb
Release : 2023-07-07
Category : Education
ISBN : 9781000898644

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Kinaesthetic Learning in Early Childhood by Georgina Barton,Susanne Garvis Pdf

Strongly grounded in research and rich with practical examples for educators, this book demonstrates the importance and benefits of kinaesthetic learning in young children’s learning and development. Kinaesthetic or hands-on active learning is extremely important for young children’s personal, social and cultural development. Without this kind of learning children may be at risk of poor behaviour, social development and academic learning outcomes. This book shares concrete examples of authentic kinaesthetic learning experiences, across different discipline areas, in a range of Early Childhood contexts. The chapters outline practical approaches to kinaesthetic learning in the classroom to help educators to engage young children, covering curriculum areas such as the arts, mathematics, literacy, digital technologies and English as a foreign language. These practical examples are supported by a range of research and theories related to the benefits of kinaesthetic learning for young children, as well as authentic classroom data. Written by leading experts in the field, this book shares authentic, appropriate classroom strategies for implementing kinaesthetic learning with young children and will be essential reading for researchers as well as pre- and in-service educators.

Play and STEM Education in the Early Years

Sue Dale Tunnicliffe,Teresa J. Kennedy
Play and STEM Education in the Early Years Book PDF

Author : Sue Dale Tunnicliffe,Teresa J. Kennedy
Publisher : Springer Nature
Page : 485 pages
File Size : 47,9 Mb
Release : 2022-06-16
Category : Science
ISBN : 9783030998301

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Play and STEM Education in the Early Years by Sue Dale Tunnicliffe,Teresa J. Kennedy Pdf

This edited book provides an overview of unstructured and structured play scenarios crucial to developing young children’s awareness, interest, and ability to learn Science, Technology, Engineering and Mathematics (STEM) in informal and formal education environments. The key elements for developing future STEM capital, enabling children to use their intuitive critical thinking and problem-solving abilities, and promoting active citizenship and a scientifically literate workforce, begins in the early years as children learn through play, employing trial and error, and often investigating on their own. Forty-seven STEM experts come together from 16 countries (Argentina, Australia, Belgium, Canada, England, Finland, Germany, Israel, Jamaica, Japan, Malta, Mauritius, Mexico, Russia, Sweden, and the USA) and describe educational policies and experiences related to young learners 3–4 years of age, as well as students attending formal-nursery school, early primary school, and the early years classes post 5 years of age. The book is intended for parents seeking to provide STEM activities for their children at home and in playgroups, citizen scientists seeking guidance to provide children with quality educational activities, daycare practitioners providing educational structures for young children from birth to formal education, primary school teachers and preservice teachers seeking to teach preschool, kindergarten or children typically aged 5–8 years old in grades 1–3, as well as researchers and policy makers working in science didactics with small children.

Young Children Learning Mathematics

Robert Hunting,Judy Mousley,Bob Perry
Young Children Learning Mathematics Book PDF

Author : Robert Hunting,Judy Mousley,Bob Perry
Publisher : ACER Press
Page : 127 pages
File Size : 40,6 Mb
Release : 2012-03-01
Category : Education
ISBN : 9781742862170

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Young Children Learning Mathematics by Robert Hunting,Judy Mousley,Bob Perry Pdf

Young children learning mathematics: A guide for educators and families explores the possibilities and potential for early childhood educators, parents and carers to stimulate young children's mathematical thinking.

Teaching Mathematics through Story

Caroline McGrath
Teaching Mathematics through Story Book PDF

Author : Caroline McGrath
Publisher : Routledge
Page : 222 pages
File Size : 46,7 Mb
Release : 2014-06-27
Category : Education
ISBN : 9781136598623

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Teaching Mathematics through Story by Caroline McGrath Pdf

How do you make mathematics relevant and exciting to young children? How can mathematics and literacy be combined in a meaningful way? How can stories inspire the teaching and learning of mathematics? This book explores the exciting ways in which story can be used as a flexible resource to facilitate children’s mathematical thinking. It looks at the potential relationship between story and mathematics and practically demonstrates how they can be combined to help children connect, understand and express mathematical ideas using story language. Written for all early years practitioners and students, the book offers a playful pedagogical approach to facilitating children’s mathematical thinking which brings a creative satisfaction and confidence to teaching mathematics. Encouraging a creative approach to teaching mathematics that draws on picture books and oral mathematical stories, the book shows you how to: Move from reading to telling stories with mathematical themes Encourage children to pose and solve problems by playing with the plot of stories Enable children to translate abstract mathematical ideas to concrete representations with supporting story props and puppets Create original oral mathematical stories alongside children Capture children’s mathematical thinking in an observational framework, supported with audio or video recordings which can be shared with parents and colleagues There are free audio recordings of children and adults telling oral mathematical stories, which feature in the book. These can be downloaded from: www.routledge.com/9780415688154 This book draws on practical work with children, educators, parents, professional storytellers, and trainee practitioners, who bring theoretical ideas to life and offer insight into their mathematical story experiences. It is a ‘must have’ for all those who want to make mathematics relevant, accessible and imaginative for young children.

Teaching Young Children Mathematics

Sydney L. Schwartz
Teaching Young Children Mathematics Book PDF

Author : Sydney L. Schwartz
Publisher : Bloomsbury Publishing USA
Page : 226 pages
File Size : 52,9 Mb
Release : 2005-09-30
Category : Education
ISBN : 9780313067945

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Teaching Young Children Mathematics by Sydney L. Schwartz Pdf

Children learn mathematics most effectively in contexts that are meaningful to them. Realizing the potential of these contexts for fostering young children's mathematical learning while nurturing and challenging them, requires knowledge of mathematics as well as of child development. 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 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.