This Fourth Edition of Derek Haylock's much loved textbook has been fully revised and restructured to match the current Attainment Targets for mathematics in England. Every chapter is written in a way that integrates children’s learning, classroom practice and the teacher’s own requirements for subject knowledge, making this the ideal text for primary PGCE courses. Features in the new edition include: two new chapters on mathematics in the primary curriculum and learning to learn mathematics more prominence given to using and applying mathematics sections matching the attainment targets for mathematics more learning and teaching points highlighted throughout the text further material on number, risk, use of ICT, graphs and data-handling. a research focus in every chapter. Additional online support The companion website provides a glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test, and provides details of how each chapter of the book is linked to the National Curriculum. This will be updated to reflect any updates to the National Curriculum as they are introduced. You can also follow Derek Haylock's blog and Twitter feeds to discuss and share issues, news, policy and anything primary maths related! -Visit the companion website: www.uk.sagepub.com/haylock -Review Derek's blog: http://derek-haylock.blogspot.co.uk/ -Follow Derek on Twitter: https://twitter.com/derek_haylock Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this bestselling book is an essential resource for all trainee primary teachers. A companion Student Workbook is also available, which: provides self-assessment activities for students to check their understanding of key concepts helps students to practise key mathematical processes and to apply mathematics in real-life situations gives opportunities to apply their knowledge to teaching and learning.
To help teachers confidently teach mathematics in primary school, this book develops their understanding of mathematical concepts and processes and how children learn them.
This Workbook provides students with an attractive and engaging means of reviewing, reinforcing and applying the material of Mathematics Explained for Primary Teachers Fourth Edition, chapter by chapter. The material in the workbook has been tested and endorsed by primary PGCE trainees. Detailed solutions and explanatory notes are provided at the end of the book for each task. The self-assessment tasks are of three kinds: - Checking Understanding Tasks designed to help the reader to check their own understanding of key concepts and principles and their mastery of important skills in each chapter. - Processes and Applications Tasks that provide opportunities to apply the mathematical content of each chapter in real-life situations, and in puzzles, problems, investigations and other mathematical challenges. - Teaching and Learning: tasks that provide opportunities for the reader to consider their responses to children's errors and misunderstandings, and to consider the content of each chapter in terms of approaches to teaching and learning in a primary school context.
This specially discounted book pack combines the new fourth edition of Derek Haylock's much loved textbook Mathematics Explained for Primary Teachers with the brand new accompanying Student Workbook. Mathematics Explained for Primary Teachers The new fourth edition of Mathematics Explained for Primary Teachers has been fully revised and restructured to match the current Attainment Targets for mathematics in England. Every chapter is written in a way that integrates children's learning, classroom practice and the teacher's own requirements for subject knowledge, making this the ideal text for primary PGCE courses. Some of the changes in the new edition include: -Two new chapters on mathematics in the primary curriculum and learning to learn mathematics -More prominence given to using and applying mathematics -Sections matching the attainment targets for mathematics -More learning and teaching points highlighted throughout the text -Further material on number, risk, use of ICT, graphs and data-handling. -A research focus in every chapter. The companion website www.sagepub.co.uk/haylock provides a glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test, and provides details of how each chapter of the book is linked to the National Curriculum. This will be updated to reflect any updates to the National Curriculum as they are introduced. Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this bestselling book is an essential resource for all trainee primary teachers. Student Workbook The new companion workbook to Mathematics Explained for Primary Teachers provides students with an attractive and engaging means of reviewing, reinforcing and applying the material of Mathematics Explained for Primary Teachers 4th Edition, chapter by chapter. The material in the workbook has been tested and endorsed by primary PGCE trainees. Detailed solutions and explanatory notes are provided at the end of the book for each task. The self-assessment tasks are of three kinds: A. Checking Understanding Tasks designed to help the reader to check their own understanding of key concepts and principles and their mastery of important skills in each chapter. B. Processes and Applications Tasks that provide opportunities to apply the mathematical content of each chapter in real-life situations, and in puzzles, problems, investigations and other mathematical challenges. C. Teaching and Learning Tasks that provide opportunities for the reader to consider their responses to children's errors and misunderstandings, and to consider the content of each chapter in terms of approaches to teaching and learning in a primary school context.
Do you understand the difference between a square and a rhombus well enough to explain it to a child? Could you weigh out 12 grams of sand if you were given weights of 3 grams, 7 grams and 16 grams? Can you spot common errors in subtraction calculations and identify the likely misconceptions behind them? This Student Workbook reinforces and applies concepts introduced in Derek Haylock’s Mathematics Explained for Primary Teachers. With over 700 tested questions endorsed by primary PGCE trainees, along with detailed solutions and explanatory notes, the Student Workbook helps you gain the confidence you need to understand, apply and teach the primary maths curriculum. Checking Understanding questions are designed to help you check your own knowledge of terminology, understanding of key concepts and principles, and your mastery of important skills. Reasoning and Problem-solving questions encourage you to use and apply mathematical concepts in solving mathematical puzzles or problems in real life situations. Learning and Teaching solutions include responses to children’s errors and misunderstandings, development of teaching ideas, evaluation of teaching approaches, and consideration of objectives to promote understanding. Visit the companion website for Mathematics Explained for Primary Teachers at study.sagepub.com/haylock5e to take advantage of even more learning resources, such as step-by-step solution videos, additional practice questions, activities to include in lesson plans and access to Derek Haylock’s blog. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education.
'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
This book explores how mathematical mastery, influenced by East Asian teaching approaches, can be developed in a UK context to enhance teaching and to deepen children's mathematical knowledge. It gives guidance on using physical resources to demonstrate key concepts, extended examples on how to teach different curriculum topics and how to plan for small-step progression. Key coverage includes: - Key terminology in mastery-style teaching - The challenges in implementing a mastery approach - The use of manipulative resources for deeper understanding - An analysis of mastery and related schemes of work currently available - Assessing mastery - How to apply mastery concepts in the early years
Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.
Can you demonstrate a clear understanding of primary mathematics? If you are training to be a primary school teacher you need to have, and demonstrate, a clear understanding of primary mathematics. This companion text to the popular Teaching Arithmetic in Primary Schools enables you to audit your knowledge, skills and understanding, making you more aware of the subject and the areas you need to develop further. It includes: self audits on all areas of calculations, supporting trainees to meet the Teachers' Standards clear links to classroom practice, linking theory with practice advice on next steps for further learning under each chapter If you're a trainee primary school teacher, this resource, along with its companion title will provide you with all the guidance and support needed to develop your Primary Maths subject knowledge and teaching skills. This book is part of the Transforming Primary QTS Series This series reflects the new creative way schools are beginning to teach, taking a fresh approach to supporting trainees as they work towards primary QTS. Titles provide fully up to date resources focused on teaching a more integrated and inclusive curriculum, and texts draw out meaningful and explicit cross curricular links.
If you find mathematics a struggle, or if mathematics makes you panic - whether you're a student preparing for a calculations test, or a qualified healthcare professional - this is the book for you. Its focus is first and foremost on helping you develop a proper and lasting understanding of mathematical concepts and processes in a healthcare context, with an emphasis on developing mental strategies to reinforce your feeling for number and numerical relationships. Clear, accessible chapters take you step-by-step through specific sets of objectives, and once you feel you have fully mastered a particular mathematical process, you're encouraged to practise your skills through a range of practical examples. Each chapter also contains a 'Spot the Errors' feature designed to reflect the busy, pressurised healthcare environment. Written by Derek Haylock, a best-selling mathematics educator, and Paul Warburton, co-ordinator of the Non-Medical Prescribing programme at Edge Hill University, the book is directly linked to the NMC's competencies and will give you the confidence to perform the safe, error-free calculations required of all healthcare professionals.
Teaching for Mathematical Understanding develops the subject knowledge support and practical ideas from Tony Cotton’s Understanding and Teaching Primary Mathematics into resources for full lessons. With an emphasis on developing outstanding lessons using a problem-solving approach, this highly practical guide is packed with activities that all trainee and practising teachers can use in the primary classroom. Covering each area of mathematics, every activity offers helpful step-by-step guidance, including teaching and learning objectives; resources; lesson outlines; ideas for differentiation; assessment for learning and key probing questions. Also featured in this text are call-outs to the information contained in the book’s companion website, a shared site with a range of relevant resources to support and consolidate your learning. Teaching for Mathematical Understanding is an essential text for all trainee and practising teachers looking for inspiration and guidance towards outstanding mathematics teaching. Companion website features include: Video clips in which primary school teachers demonstrate concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as part of a teacher training course updated weblinks to external sites with useful teaching information and resources.
Now in its fifth edition, the best-selling text Mathematical Knowledge for Primary Teachers provides trainee teachers with clear information about the fundamental mathematical ideas taught in primary schools. With rigorous and comprehensive coverage of all the mathematical knowledge primary teachers need, the text goes beyond rules and routines to help readers deepen their understanding of mathematical ideas and increase their confidence in teaching these ideas. The book has been updated to incorporate changes in the National Curriculum and the associated tests. In addition, Chapter 1 has been expanded to discuss mathematical understanding in the light of the challenges posed by the current changes. These include the re-introduction of traditional calculation methods for multiplication and division, the early coverage of abstract fractions calculations and much more. Features include: ■ ‘Check’ questions to test the reader’s understanding ■ ‘Challenges’ to increase teachers’ confidence and stretch their mathematical abilities ■ ‘Links with the classroom’ to emphasise the relevance of ideas to the classroom context ■ Straightforward coverage from theory to practice for all aspects of the Mathematics Framework. The book is accompanied by eResources which contains further visual activities and support, designed to scaffold and support the reader’s own understanding. Essential reading for all practising and trainee primary teachers, this book is ideal for those who wish to increase their mathematical understanding and confidence in presenting mathematics in the classroom.
Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics. The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning. Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.
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.
Designed for students on courses of initial training for primary teaching, this text presents key concepts in mathematics and discusses standard techniques including worked examples, self-tests, questions for the classroom, and further challenges.
How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age. With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader's own mathematical knowledge. Chapters explore: - the seemingly paradoxical number zero - the concept of equality - children's perceptions and misconceptions of adding, subtracting, multiplying and dividing - the learning process - the ways in which children acquire number concepts. This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.