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Mathematics Explained for Primary Teachers

Mathematics Explained for Primary Teachers

Fourth Edition
Additional resources:

July 2010 | 432 pages | SAGE Publications Ltd

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:
-Review Derek's blog:
-Follow Derek on Twitter:

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.
Primary Teachers' Insecurity about Mathematics
Mathematics in the Primary Curriculum
Learning 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
Remainders and Rounding
Multiples, Factors and Primes
Squares, Cubes and Number Shapes
Integers: Positive and Negative
Fractions and Ratios
Calculations with Decimals
Proportions and Percentages
Co-Ordinates and Linear Relationships
Transformations and Symmetry
Classifying Shapes
Perimeter, Area and Volume
Handling Data
Comparing Sets of Data
Answers to Self-Assessment Questions

helpful for filling in the gaps in knowledge and understanding

Julia Holden
Education, Leeds Trinity and All Saints
June 3, 2014

This text has always been useful but in its updated form it now retains currency. Students have found this book very helpful - especially those who may have found Maths challenging in their own school days!

Mrs Jean Bourne
Community Studies, Herefordshire College of Technology
October 7, 2013

Very clear and easy to use. Well laid out. Good explanations of maths

Miss Sarah Coulson
Care, Sport and Leisure, Tyne Metropolitan College
July 15, 2013

Haylock is so good when it comes to explaining maths to those who are having challenges in preparing to teach it.

Mrs Zenna Kingdon
Education , College of St Mark and St John
March 25, 2013

A fantastic reference guide for those needing to brush up as well as those needing a bit more.

Mrs Kathryn Peckham
Childhood Studies : Early Years, Chichester University
March 24, 2013

Very comprehensive and clearly set out. The self-assessment questions enable those students who lack confidence to develop their skills. The online materials are a very useful extra support.

Ms Stella Harcourt
Further and Higher Education, South Essex College
March 8, 2013

An excellent text that is essential for all primary teaching students.
Clearly set out chapters with self assessments that allow students to keep track of their own developing subject knowledge.

Mrs Kate Ennis
School of Childhood and Education, University College Birmingham
January 7, 2013

A very accessible and clearly written text that provides a good insight into Mathematics for aspiring and qualified teachers.

Mr Ian Tindal
Faculty of Education Chelmsford, Anglia Ruskin University
December 14, 2012

An invaluable text for trainee teachers delivering Maths in the primary classroom.

Faculty of Humanities, Arts, Languages and Education, London Metropolitan Uni (City Campus)
September 4, 2012

This updated version of an old favourite which is both accessible and interesting version will be welcomed by students on our BA Education and PGCE courses as the useful guide to support them in understanding the requirements of good subject knowledge which they will need to become effective practitioners.

Mrs Pauline Palmer
Institute of Education, Manchester Metropolitan University
July 19, 2012

Sample Materials & Chapters

Chapter 1: Primary Teachers' Insecurity about Mathematics

Preview this book

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... More About Author

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