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Mathematics Explained for Primary Teachers
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Mathematics Explained for Primary Teachers

Fourth Edition
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432 pages | SAGE Publications Ltd
This much-loved textbook has been fully revised and updated to take account of the new Primary Curriculum, which was made statutory in 2010 and will be taught in primary schools beginning September 2011. The new edition will be a valuable resource for new primary teachers as they prepare to teach the new curriculum.

Some of the changes in the new edition include the following:

  • New chapters on key ideas and key processes in primary mathematics.
  • Reordering of the chapters to give more prominence to using and applying mathematics.
  • Further material on graphs in the chapter on coordinates and linear relationships.
  • References throughout to the new Primary Curriculum.
  • Research focus in every chapter.
  • Updating of suggestions for further reading.
  • More discursive answers to some of the self-assessment questions.
  • A companion website providing a comprehensive glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test.
  • A companion Student Workbook available for purchase, providing further self-assessment examples for checking understanding, for using and applying mathematics, and for teaching and learning.

Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this book is an essential resource for all new primary teachers.

 
PART ONE: MATHEMATICAL UNDERSTANDING
 
Primary Teachers' Insecurity about Mathematics
 
Mathematics in the Primary Curriculum
 
Learning to Learn Mathematics
 
PART TWO: USING AND APPLYING MATHEMATICS
 
Key Processes in Mathematical Reasoning
 
Modelling and Problem Solving
 
PART THREE: NUMBER AND ALGEBRA
 
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
 
Algebra
 
Co-Ordinates and Linear Relationships
 
PART FOUR: SHAPE, SPACE AND MEASURES
 
Measurement
 
Angle
 
Transformations and Symmetry
 
Classifying Shapes
 
Measurement
 
Perimeter, Area and Volume
 
PART FIVE: STATISTICS
 
Handling Data
 
Comparing Sets of Data
 
Probability
 
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.

Mrs JANET DOUGLAS GARDNER
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

Preview this book

Sample Materials & Chapters

Chapter 1: Primary Teachers' Insecurity about Mathematics


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

For instructors

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