Mathematics Explained for Primary Teachers / Edition 6

by Derek Haylock, Ralph Manning

Overview

‘This user-friendly interactive book makes concepts simple and gives you the confidence and knowledge to learn and teach mathematics to primary children. You can conveniently access easily digestible content to build and test your knowledge. It’s a must have on any teachers book shelf!’

SAGE Primary Mathematics Student Panel

• LESSON PLANS AND WORKSHEETS: Save time with ideas and resources for planning your lessons.
• PROBLEM SOLVED! VIDEOS: Visualise how to solve a question by watching a quick animated demonstration.
• LEARNING AND TEACHING POINTS: Feel confident in the classroom with these key points to remember when planning and teaching.
• QUESTIONS AND QUIZZES: Achieve a firm grasp of concepts and a clear understanding with self-assessment questions and quizzes.
• FREE INTERACTIVE EBOOK: Study anywhere with your portable and convenient e Book!

USE ME WITH...
Student Workbook Mathematics Explained for Primary Teachers 6th Edition 9781526424686

Product Details

ISBN-13:	9781526423191
Publisher:	SAGE Publications
Publication date:	12/20/2019
Edition description:	Sixth Edition
Pages:	504
Product dimensions:	7.32(w) x 9.13(h) x (d)

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.

Table of Contents

Praise for the Fifth Edition vii

About the Authors viii

Acknowledgements ix

'How to' Guide x

Introduction 1

Section A Mathematical Understanding 3

1 Primary Teachers' Insecurity about Mathematics 5

2 Mathematics in the Primary Curriculum 15

3 Learning How to Learn Mathematics 26

Section B Mathematical Reasoning And Problem Solving 39

4 Key Processes in Mathematical Reasoning 41

5 Modelling and Problem Solving 56

Section C Numbers And Calculations 69

6 Numbers and Place Value 71

7 Addition and Subtraction Structures 91

8 Mental Strategies for Addition and Subtraction 108

9 Written Methods for Addition and Subtraction 123

10 Multiplication and Division Structures 141

11 Mental Strategies for Multiplication and Division 158

12 Written Methods for Multiplication and Division 174

Section D Further Number Concepts And Skills 195

13 Natural Numbers: Some Key Concepts 197

14 Integers: Positive and Negative 216

15 Fractions and Ratios 224

16 Decimal Numbers and Rounding 244

17 Calculations with Decimals 264

18 Proportionality and Percentages 283

Section E Algebra 299

19 Algebraic Reasoning 301

20 Coordinates and Linear Relationships 319

Section F Measurement 333

21 Concepts and Principles of Measurement 335

22 Perimeter, Area and Volume 357

Section G Geometry 373

23 Angle 375

24 Transformations and Symmetry 385

25 Classifying Shapes 398

Section H Statistics And Probability 413

26 Handling Data 415

27 Comparing Sets of Data 433

28 Probability 451

Answers to Self-assessment Questions 463

References 476

Index 483

Editorial Reviews

'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

‘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

'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

'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

"Derek Haylock, the first great teacher of maths that I ever met. This second edition is bang up to date, covering all the maths primary teachers are required to know."

Laurie Rousham

"It’s a lucid and coherent embodiment of the wisdom of a highly experienced mathematics educator—a book to be returned to again and again by anyone involved in teaching mathematics at this level."

Peter Huckstep

'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

'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

'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 e Book. 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

'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