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

2021-07-12
How to Recognise and Support Mathematical Mastery in Young Children’s Play

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  • Author: Di Chilvers
  • Publisher: Routledge
  • ISBN: 0429649398
  • Category : Education
  • Languages : en
  • Pages : 245

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

2011-04-16
Understanding Children's Mathematical Graphics: Beginnings in Play

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  • Author: Elizabeth Carruthers
  • Publisher: McGraw-Hill Education (UK)
  • ISBN: 0335240798
  • Category : Education
  • Languages : en
  • Pages : 234

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

2006-05-16
EBOOK: Supporting Mathematical Development in the Early Years

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  • Author: Linda Pound
  • Publisher: McGraw-Hill Education (UK)
  • ISBN: 0335227503
  • Category : Education
  • Languages : en
  • Pages : 176

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.

Young Children as Mathematicians

1992
Young Children as Mathematicians

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  • Author: Dianna Mannigel
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 256

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.

Early Childhood Education

2023-02-04
Early Childhood Education

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  • Author: Cathy Nutbrown
  • Publisher: SAGE
  • ISBN: 1529613035
  • Category : Education
  • Languages : en
  • Pages : 191

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

Transforming the Workforce for Children Birth Through Age 8

2015-07-23
Transforming the Workforce for Children Birth Through Age 8

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  • Author: National Research Council
  • Publisher: National Academies Press
  • ISBN: 0309324882
  • Category : Social Science
  • Languages : en
  • Pages : 706

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

2013-11-01
Learning and Teaching Mathematics 0-8

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  • Author: Helen Taylor
  • Publisher: SAGE
  • ISBN: 1446296415
  • Category : Education
  • Languages : en
  • Pages : 280

'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.

Children's Mathematics

2006-08-07
Children's Mathematics

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  • Author: Elizabeth Carruthers
  • Publisher: SAGE
  • ISBN: 1446224376
  • Category : Education
  • Languages : en
  • Pages : 280

Visit the author's own website here! Children's Mathematics Network '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

2022-01-24
Mastery and Depth in Primary Mathematics

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  • Author: Fay Lewis
  • Publisher: Routledge
  • ISBN: 1000517934
  • Category : Education
  • Languages : en
  • Pages : 111

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.

Thinking and Learning About Mathematics in the Early Years

2008-03-20
Thinking and Learning About Mathematics in the Early Years

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  • Author: Linda Pound
  • Publisher: Routledge
  • ISBN: 1134082282
  • Category : Education
  • Languages : en
  • Pages : 128

How can early years practitioners help young children to become not only numerate but aspiring mathematicians who love numbers, shapes and mathematical comparisons? The introduction of the Foundation Stage has led to practitioners seeking ways to teach maths which are more in line with the creative and playful ways young children learn other subjects. Linda Pound draws on current thinking about children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life situations and making it a playful and enjoyable cross-curricular activity. This highly practical and engaging text includes chapters on: why maths is often seen as 'hard' and what practitioners can do to help young children be more successful exploring shapes, space, measures and patterns how to make maths more fun and playful, using games, humour, stories and rhymes using music and dance to enhance mathematical understanding encouraging children to see the connection between maths and everyday experiences through, for example sorting, matching and guessing creating an environment for mathematical development, indoors and out Concluding with a chapter on how practitioners and parents can become more confident in their use of maths, this user-friendly text, packed full of ideas, is essential reading for practitioners in any early years setting. Students on Early Education courses will also find much here to inspire them.