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 study.sagepub.com/haylock5e 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.
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
About the Author :
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.
Review :
′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!"′
′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.′
′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.′
′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.′
′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.′
′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.′
‘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.’
‘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.’
′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.′
′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.′
′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.′
This was very straightforward to read. More could have been written about the new National Curriculum.
Another excellent edition of a must-read text for trainee teachers. Haylock covers all the key areas of the primary mathematics curriculum supporting students′ subject knowledge and mathematics teaching.
I really like the new edition of the book. The links to the new curriculum are really helpful and the explanations of the maths improve with each edition. The book is essential reading for all our trainee teachers, both undergraduates and postgraduates.
A useful update to a key source of information for teachers of mathematics in the primary phase.
A classic text and one that students love. They return to it all the time.
good practical advice for anyone dealing with Maths. Access to e learning a bonus
This has been our core text for several years on our primary teaching degree. It is clear and well illustrated and explained, without being patronising. The frequent revisions to it ensure that it keeps up with the current trends in mathematics teaching and learning, while retaining all that is essential to effective mathematics subject knowledge.
This book is particularly useful for those who are undertaking a teaching degree.
It contains a wide range of essential activities pertinent to assist in the development of mathematical knowledge.
This book continues to prove itself and remains popular with students and mentors alike.
Easy to read and provides some pedagogical knowledge as well as subject knowledge.
A useful and concise guide to a range of essential concepts and ideas that non-specialist primary school Maths teachers can readily engage with. (I found it very useful as a ′refresher′ for my increasingly out-of-date knowledge of teaching Maths.)
We have used Haylock′s books for years, and will continue to do so. Engaging, relevant and up-to-date, Haylock has become an essential part of our maths provision.
We already use the Haylock 4th ed. and find it very comprehensive and accessible for students, ensuring that they develop good subject knowledge.
An excellent resource book for brushing up your Maths skills. Clear links to the National Curriculum with a range of creative maths tasks.
Will only refer to if a trainee really needs to address their mathematics.
Excellent workbook which is essential reading for all student teachers.
I have used this book for my first year of teaching Entry 1 and 2 Functional skills maths. I come from an Early Years back ground so had some knowledge but needed a back up. I found it very useful as being new to this level of teaching and the student′s ability it gave me a great insight in to how to go about helping them to learn maths when they have in their eyes failed at it for so long.
Comprehensive and related theory enhances practical tasks
Topics explained clearly and concisely with illustrations - ideal for the prospective teacher who lacks confidence in mathematical subject knowledge.
An excellent and comprehensive text which explains the mathematics needed for primary teaching.
Very clear detailed book good for developing subject knowledge
This is essential reading for our primary trainees and links to the new National Curriculum. I′m certain that trainees will get a lot out of the online features as well - this is so much more than a book! We also suggest that those who need to build their confidence purchase the workbook too.
Continuing to use this book as essential reading and support for subject understanding.
This is a highly recommended book for our students. It enables primary student teachers to develop and extend their personal fundamental understanding of key mathematics concepts which will enable them to explain mathematical concepts to their pupils.
This is the most thorough of texts for primary trainees and the one they find the most accessible.
