Mathematics Explained for Primary Teachers

Mathematics Explained for Primary Teachers

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Get access to an interactive eBook* when you buy the paperback! (Print paperback version only, ISBN 9781446285879)

A Unique Blend of Digital and Print Learning Resources!

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 the money."

"It is a book I will be using even when in the classroom."

Mathematics Explained for Primary Teachers develops your understanding of mathematical concepts and processes, 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 teacher's own requirements for subject knowledge, making this the ideal text to guide you through your studies and beyond.

More than just a book!

The new edition is supported by FREE access to an interactive eBook and a companion website allowing you to use a wealth of teaching and learning resources. You can use the eBook to study where and when you want, and read, annotate and search the book on a tablet, laptop or PC. You can also visit to access:

Videos by the author introduce core themes of each section and explain key mathematical processes.
Links to the National Curriculum specify the statutory requirements for primary schools in England that relate to the mathematical content of each chapter.
Learning and Teaching points highlight important issues you may face in the classroom and provide practical guidance for teaching.
Self-assessment questions help check your understanding and provide immediate feedback to see how well you have done.
Select SAGE journal articles to support literature reviews and wider reading.
Lesson Plan Activities by Ralph Manning support content-focused chapters and contain creative mathematics tasks across the primary age range.

A Student Workbook is also available to accompany this book, including over 700 practice problems to help you understand, apply and teach primary mathematics.

Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education.

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 a career in IT.

*interactivity only available through Vitalsource eBook
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Product details

  • 12-17
  • Mixed media product | 496 pages
  • 186 x 232 x 22mm | 400g
  • London, United Kingdom
  • English
  • Revised
  • 5th Revised edition
  • 1446285871
  • 9781446285879
  • 14,755

Table of contents

Primary Teachers' Insecurity about Mathematics
Mathematics in the Primary Curriculum
Learning How to Learn Mathematics
Key Processes in Mathematical Reasoning
Modelling and Problem Solving
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
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
Algebraic Reasoning
Coordinates and Linear Relationships
Concepts and Principles of Measurement
Perimeter, Area and Volume
Transformations and Symmetry
Classifying Shapes
Handling Data
Comparing Sets of Data
Answers to Self-Assessment Questions
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Review quote

'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 '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 '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 `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 `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 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 '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 '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 '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 '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 '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
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About Derek Haylock

Derek Haylock is an education writer, with an extensive list of publications in the field of mathematics education. He worked for over 30 years in teacher education, both initial and in-service, and was Co-Director of Primary Initial Teacher Training and responsible for the mathematics components of the primary programmes at the University of East Anglia (UEA) in Norwich. He has considerable practical experience of teaching and researching in primary classrooms. His work in mathematics education has taken him to Germany, Belgium, Lesotho, Kenya, Brunei, India and Sweden. As well as his publications in the field of education, he has written seven books of Christian drama for young people and a Christmas musical (published by Church House/National Society). For 15 years after his time at UEA, he was in great demand as a consultant and professional speaker. His work as a writer continues.

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.
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