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Children's Mathematics

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Table of Contents

Who Takes Notice of Children's Own 'Written' Mathematics? Children's Mathematical Graphics International Findings Studies That Relate To Mathematical Literacy Enquiring into Children's Mathematics Making Marks, Making Meaning Children Making Meaning with Marks Different Literacies: Mathematical Literacy Children Represent Their Mathematical Actions and Understanding On Paper Learning Theories Reading and Using Mathematical Graphics Sociocultural Perspectives Contexts in Early Years Settings Teachers' Beliefs Creativity in Mathematics Summary Mathematical Schemas What Is a Schema? Schemas and Mathematics Schemas and Mark-Making Observing Schemas in a School Setting Mapping Patterns of Schema Exploration Early Writing, Early Mathematics The Significance of Emergent Writing Young Children Explore Symbols Early Writing and Early Mathematical Marks Early (Emergent) Literacy Is Often Misunderstood Conclusion Bridging the Gap between Home and School Mathematics Disconnections Understanding Symbols Mathematics as a Foreign Language Becoming Binumerate Teachers' Difficulties Conclusion Making Sense of Children's Mathematical Graphics The Evolution of Children's Early Marks Categories of Children's Mathematical Graphics Common Forms of Graphical Marks Early Development of Mathematical Meaning Early Explorations with Marks 'The Beginning Is Everything' Early Written Numerals Numerals as Labels Representations of Quantities and Counting The Development of Early Written Number, Quantities and Counting Understanding Children's Developing Calculations Practical Mathematics The Fifth Dimension: Written Calculations Representations of Early Operations Counting Continuously Narrative Actions Supporting Children's Own Mathematical Marks Separating Sets Exploring Symbols Standard Symbolic Calculations with Small Numbers Calculations with Larger Numbers Supported By Jottings The Development of Children's Mathematical Graphics: Becoming Binumerate Conclusion Environments That Support Children's Mathematical Graphics Rich Mathematical Environments for Learning The Balance between Adult-Led and Child-Initiated Learning Role-Play and Mark-Making The Physical Environment Practical Steps Graphics Areas Conclusion Case Studies from Early Childhood Settings The Birthday Cards A Number Line 'No Entry' Carl's Garage Children's Centres: The Cambridge Learning Network Project Spontaneous Dice Game Young Children Think Division A Zoo Visit Mathematics and Literacy in Role-Play: The Library Van Aaron and the Train Multiplying Larger Numbers Nectarines for a Picnic Conclusion Developing Children's Written Methods The Assessment of Children's Mathematical Representations On Paper The Problem with Worksheets Assessing Samples of Children's Own Mathematics Examples of Assessment of Children's Mathematics The Pedagogy of Children's Mathematical Graphics Modelling Mathematics Involving Parents and Families Children's First and Continuing Educators The Home As a Rich Learning Environment What Mathematics Do Young Children Do At Home? What Mathematics Do Parents Notice At Home? Parents Observe a Wealth of Mathematics Helping Parents Recognise Children's Mathematical Marks Parents' Questions about Children's Mathematical Graphics Conclusion Children, Teachers and Possibilities Inclusion Children's Questions Teachers' Questions It's All Very Well - But What About Test Scores? Reflections


' I purchased a copy of your book over the holidays-it is my bebtime reading at the moment but it is far too stimulating'- Philippa Cook, Nursery Teacher, Clifton High School, Bristol 'Children's Mathematics: Making Marks, Making Meaning is essential reading for students of Education and Early Childhood Studies, as well as for those practitioners working in the Foundation and Primary stages of education' - Anne Cooper, Mathematics Association 'Thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon' - John Dabell, Education Consultant, Former Numeracy Consultant & Ofsted Inspector Praise for the First Edition: 'Children's Mathematics: Making Marks, Making Meaning is essential reading for students of Education and Early Childhood Studies, as well as for those practitioners working in the Foundation and Primary stages of education' - Anne Cooper, Mathematics Association 'The writers make a very convincing case for the usefulness of exploring children's marks in order to understand their mathematical cognition. The examples of children's written representations provide fascinating insights into how different children think about mathematics' - Katherine Canobi, University of Melbourne

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