Mathematics Explained for Primary Teachers

Mathematics Explained for Primary Teachers

Hardback

By (author) Derek Haylock, By (author) Ralph Manning

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  • Publisher: Sage Publications Ltd
  • Format: Hardback | 496 pages
  • Dimensions: 190mm x 234mm x 24mm | 1,000g
  • Publication date: 28 July 2014
  • Publication City/Country: London
  • ISBN 10: 1446285863
  • ISBN 13: 9781446285862
  • Edition: 5, Revised
  • Edition statement: 5th Revised edition

Product description

5 star student reviews: "A must have for teachers-to-be, especially those who are a bit shaky on their maths knowledge!" "Not many maths books keep me fixated but this is one that is definitely worth its money." "It is a book I will be using even when in the classroom" When was the last time you solved a fraction question? Could you explain how to solve it to a nine year old? Mathematics Explained for Primary Teachers develops your own understanding of mathematical concepts, and how children learn them, so you can confidently teach mathematics to primary children. Tried and tested, the fifth edition of Derek Haylock's much loved textbook matches the 2014 curriculum requirements for England. Every chapter integrates children's learning, classroom practice, and the teachers own requirements for subject knowledge, making this the ideal text to guide you through your studies and beyond. Get interactive with the new online version - the fifth edition includes free access to an interactive online textbook, giving you the flexibility and support to study how and where you want. Access additional study material direct via the interactive eBook or by visiting the accompanying companion website - a maths teaching toolkit at your fingertips! In your teaching toolkit: *8 mini video lectures by Derek introduce each key section of the book *Step by step screencasts show you how to work through problems visually, so you can learn at your own pace *Links to the National Curriculum throughout keep you abreast of current numeracy teaching standards *Teaching and Learning Points highlight important issues and potential challenges you may face in the classroom *Practice Questions test your understanding *Free Access to SAGE Journal articles keeps you informed of topical research. Want to learn on the go? To help support your learning on your schedule, the fifth edition is supported by MobileStudy, so you can check tips and lesson plans on your phone, on the go and in the classroom. A Student Workbook is also available to accompany this book, including over 500 practice problems to help you check your understanding of mathematics principles, use and apply them, and prepare you for the challenges you might encounter in the classroom. Derek Haylock is an education consultant and author, and has worked for over 30 years in teacher education. You can follow Derek's blog and Twitter feeds to discuss and share issues, news, policy and anything primary maths related! * Review Derek's blog: http://derek-haylock.blogspot.co.uk/ * Follow Derek on Twitter: https://twitter.com/derek_haylock

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Author information

Derek Haylock is an education consultant and writer in the field of mathematics education. He is a Senior Fellow in Education at the University of East Anglia, Norwich, where he worked for over 30 years in primary teacher training and in education research. He is a major author in education, with a large number of published books and chapters in books. His best-selling Mathematics Explained for Primary Teachers (Sage) has been the leader in the field for many years, with a fourth edition published in 2010. Derek's work is characterized by a commitment to explain mathematics in simple and accessible ways and to enable the subject to be taught and learnt with understanding and confidence. He is married, with two grown-up daughters and three grandsons. Outside of mathematics, he is a Free Church elder, plays the trumpet, and is passionate about classical music, cricket, walking (quickly) and cycling (slowly). Derek Haylock has a website at: http://derek-haylock.blogspot.com/ Ralph Manning is an independent consultant in primary education. He has worked as a primary teacher and as a lecturer in primary teacher education for 18 years, following an earlier career in the IT industry. Ralph led the mathematics and physical education programmes for the Primary PGCE at the University of East Anglia until 2013. His other specific interests are in developing children's higher thinking skills, assessment for learning and planning for teaching effectively. He was a former founding member of the General Teaching Council for England and is engaged in supporting developing education projects in India.

Review quote

'Some students refer to the book as their "maths bible" and I have spoken to and have had e-mails from former students who continue to refer to it (we recommend that they buy it from Day One), saying "Thank goodness for Haylock!"' -- Debra Crouch 'Now in its 5th edition, Mathematics Explained for Primary Teachers is available for the first time as an interactive eBook. The book is written in the accessible and engaging style we have come to expect from Derek Haylock, and is informed by his wealth of experience. With access to a range of new interactive features (such as step by step screencasts, access to selected SAGE journal articles and the companion website) and the flexibility of an accompanying student workbook, Mathematics Explained for Primary Teachers represents a complete solution for primary mathematics educators.' -- Dr John West 'Throughout this book, there is a clear sense of the importance of preserving children's understanding of mathematics rather than resorting to 'tricks and recipes'. This is done while still ensuring that children are able to meet the demands of the new National Curriculum. The explanation of key terms will enable primary mathematics teachers to navigate their way through the new curriculum document. Clear, worked examples of calculation methods are combined with useful insights into the prior knowledge and understanding that children need. The self-assessment tasks and suggestions for further reading should ensure that teachers feel well prepared to teach the mathematics contained in the book. This book will be an invaluable source of practical help to all teachers of primary mathematics.' -- Dr Marcus Witt 'The physical structure of chapters are well presented, and there is a good balance of colour, text, symbols, and pictorial representations. Access to the content is well supported through the chapter overview that provides a ready reference point for locating the content. Within the chapters, each element is easily located through the use of clear headings. Explicit examples are used to clarify the meaning of the mathematical terminology and the structure of the Learning and Teaching Point provides a clear summary of the elements in the corresponding text. Good visual supports, such as number lines, base 10 blocks and arrow cards, supplement the written text and consolidate understanding. Throughout the text, common misconceptions are identified and comprehensively explained. The glossary of terminology at the end of each chapter is a useful and well used resource.' -- Theresa Shellshear 'The book combines clear guidance about meeting the expectations of the new curriculum, with a strong call to preserve children's mathematical understanding. The explanation of key terms will enable primary mathematics teachers to navigate their way through the new curriculum document. Worked examples of calculation methods are combined with useful insights into essential prior knowledge and understanding. The book will be invaluable source of practical help to all teachers of primary mathematics.' -- Dr Marcus Witt 'This book can rightly be considered the ultimate reference for securing appropriate mathematics subject knowledge for primary teaching. In the chapter 'Written methods for Multiplication and Division' the concepts behind the methods are explained clearly and thoroughly. Of particular use are the 'teaching points' sections and links to video explanations and further practice. It is clear that this book is written by a teacher for teachers and its main objective is to ensure teachers understand the concepts behind what that they teach so that children will not just learn mathematics but understand mathematics. This book will be a key text for primary BA Ed and PGCE students.' -- Rachel Wallis 'This edition presents the clarity and detail I have come to expect from Haylock and it continues to be our first choice in mathematics subject knowledge support for students and teachers.' -- Nancy Barclay 'This edition tackles written calculation algorithms with clarity and detail; the emphasis on children understanding these processes and how to support this is maintained throughout.' -- Nancy Barclay 'The new edition provides up to date information related to both current research and practice. I particularly found the chapter on mental strategies useful for explaining how the laws of multiplication and division work and for encouraging ad hoc approaches to multiplication. The teaching points throughout help to draw relevant links between theory and practice and the self-assessment questions focus on developing teachers' own content and pedagogical content knowledge.' -- Dr Tracey Muir 'As always this book will prove to be an invaluable asset to not only trainee teachers, but as many have agreed also after school experience placements. There is a growing awareness in primary schools of this book being an asset for all members of staff no matter whether they have two or twenty-two years of classroom experience.' -- Andrew Gallacher 'Here is another accessible text from Derek Haylock that supports the development of subject knowledge for student teachers and experienced teachers alike. Haylock emphasises the importance of teaching written methods with understanding and one key strategy he exemplifies to achieve this is the use of representation. There are good illustrations on the use of physical representations to support addition and subtraction with very clear guidance on how to use base ten materials and coins. The inclusion of a section on using addition to check subtraction is well explained - this is a useful addition to the fifth edition.' -- Alison Barnes

Table of contents

Introduction SECTION A: MATHEMATICAL UNDERSTANDING Primary Teachers' Insecurity about Mathematics Mathematics in the Primary Curriculum Learning How to Learn Mathematics SECTION B: MATHEMATICAL REASONING AND PROBLEM-SOLVING Key Processes in Mathematical Reasoning Modelling and Problem Solving SECTION C: WHOLE NUMBERS AND CALCULATIONS Number and Place Value Addition and Subtraction Structures Mental Strategies for Addition and Subtraction Written Methods for Addition and Subtraction Multiplication and Division Structures Mental Strategies for Multiplication and Division Written Methods for Multiplication and Division SECTION D: FURTHER NUMBER CONCEPTS AND SKILLS Multiples, Factors and Primes Integers: Positive and Negative Fractions and Ratios Decimal Numbers and Rounding Calculations with Decimals Proportionality and Percentages Squares, Cubes and Number Shapes SECTION E: ALGEBRA Algebraic Reasoning Coordinates and Linear Relationships SECTION F: MEASUREMENT Concepts and Principles of Measurement Perimeter, Area and Volume SECTION G: GEOMETRY Angle Transformations and Symmetry Classifying Shapes SECTION H: STATISTICS AND PROBABILITY Handling Data Comparing Sets of Data Probability Answers to Self-Assessment Questions References Index