The activities in this book are designed both to help children to learn and to understand math concepts, and also to prepare them for taking SATS papers at KS2. There is plenty of research evidence to suggest that children are helped in their understanding of math problems if teachers focus on common misconceptions, and if children are given opportunities for discussion and explanation of their own understanding. Children can also feel stigmatized by being made to focus on their own errors. Mike Spooner has developed activities that present already completed work which children then assess, correct and discuss - in this way they can analyze mistakes without damage to their own self-esteem. The activities are presented in the same format as the SATS papers, to give children practice in coping with that format. The book also contains writing frames that children can use to structure their discussions of math problems.
This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
This practical guide to children's common errors and misconceptions in mathematics is ideal for primary trainees, helping them gain a deeper understanding of the difficulties encountered in mathematical development. This Second Edition has been fully revised and all links to the EYFS and the Revised Primary Framework have been updated. New research and literature are included, additional errors are considered, and using and applying mathematics is fully embedded throughout. Individual misconceptions are dealt with and in each case a description and explanation of the error is provided. The teacher's role in understanding and addressing common misconceptions is also covered.
This practical guide to children′s common errors and misconceptions in mathematics is ideal for anyone training to teach 4-11 year old children and keen to gain a deeper understanding of the difficulties children encounter during their mathematical development. The book is structured around National Curriculum Attainment Targets, and deals with individual misconceptions, in each case providing a description of the error, and an explanation of why the error happens.
How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.
The teacher training framework, introduced in September 2007, requires all teachers in the post-16 sector to possess knowledge, understanding and personal skills to at least level 2 in the minimum core for numeracy. Coverage and assessment of the core have to be embedded in all Certificate and Diploma courses leading to QTLS and ATLS status. This book is a practical guide to numeracy for trainee teachers in the Lifelong Learning sector. It enables trainee teachers to identify and develop their own numeracy skills and also to support their students′ numeracy.
′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.
Lesson planning in line with the new Primary National Curriculum! Structured around the number and place value sections of the programmes of study within the National Curriculum (DfE, 2013), this book provides practical examples and lesson ideas on how number and place value can be taught within the primary classroom. Children need an in-depth understanding of our number system in order to access effectively other elements of the number curriculum; this is an area of maths that is a high focus throughout the primary curriculum. The accompanying commentary before and after each lesson plan, informs some of the decisions that you will make as part of the planning process. Potential challenges associated with the lesson, including common errors and misconceptions children encounter are also discussed. The authors recognise that each class is unique and so you will find suggestions after each lesson on how it can be adapted and developed to suit your teaching needs. Did you know that this book is part of the Lessons in Teaching series? Table of Contents Teaching the national curriculum for mathematics / Teaching number and place value / Planning: telling the ‘story’ of the lesson / Year 1: One more than, one less than / year 2: Place value / Year 2: Using and = signs / Year 3: Patterns when counting in multiples / Year 4: Negative numbers / Year 4: Roman Numerals / Year 5: Big numbers / Year 6: Understanding decimals / Year 6: Reading scales / Moving on / Glossary of terms / Models, images and practical resources WHAT IS THE LESSONS IN TEACHING SERIES? Suitable for any teacher at any stage of their career, the books in this series are packed with great ideas for teaching engaging, outstanding lessons in your primary classroom. The Companion Website accompanying the series includes extra resources including tips, lesson starters, videos and Pinterest boards. Books in this series: Lessons in Teaching Grammar in Primary Schools, Lessons in Teaching Computing in Primary Schools, Lessons in Teaching Number and Place Value in Primary Schools, Lessons in Teaching Reading Comprehension in Primary Schools, Lesson in Teaching Phonics in Primary Schools
"This richly varied text offers generous support for every aspect of the teacher's role, while constantly reminding us that mathematical activity is not a de-contextualised skill that children possess, but part of their identity, their way of being in the world, engaged with the world, energetically - and playfully - trying to make sense of it." Mary Jane Drummond, formerly of the Faculty of Education, University of Cambridge, UK Teaching and Learning Early Number is a bestselling guide for all trainee and practising Early Years teachers and classroom assistants. It provides an accessible guide to a wide range of research evidence about the teaching and learning of early number. Major changes in the primary mathematics curriculum over the last decade - such as the National Numeracy Strategy, the Primary National Strategy, the Early Years Foundation Stage and the Williams Review - have greatly influenced the structure of this new edition. The book includes: A new introductory chapter to set the scene Six further new chapters - including Mathematics through play, Children's mathematical graphics and Interview-based assessment of early number knowledge Six completely re-written chapters and two updated chapters A new concluding chapter looking to the future The chapters can be read in a standalone fashion and many are cross referenced to other parts of the book where specific ideas are dealt with in a different manner. Issues addressed include: new research on the complex process of counting and on children's written mathematical marks; counting in the home environment and play in the school setting; the importance of mathematical representations and of ICT in children's understanding of number; errors and misconceptions and the assessment of children’s number knowledge.
Establishing an effective learning environment in the classroom requires a clear understanding of different teaching strategies that make children active participants in their own learning. This book explores a range of philosophies and strategies to develop active learning in primary education. It balances theory with practice to provide evidence-based guidance and suggestions for use in the classroom. Key topics include: Creating a supportive learning environment Developing the questioning skills of teachers and children Learning through assessment Developing thinking skills through curriculum subjects Active learning in early years education Philosophy for Children (P4C) Frameworks to promote thinking This is essential reading for professional studies modules on primary initial teacher education courses, including university-based (PGCE, PGDE, BA QTS, BEd), school-based (SCITT, School Direct) and employment-based routes into teaching. It also serves as a handbook for schools that are developing their approaches to active learning. Anitra Vickery works as senior lecturer in primary mathematics education and the Professional Studies Coordinator at Bath Spa University.
