Mathematics Explained for Primary Teachers

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 this 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.

Praise for the Second Edition:

'Since the first edition I have recommended this text to many of my students (undergraduates and postgraduates) who, like Derek Haylock's own, evidenced more positive attitudes towards mathematics as a result. If the text is not on your required reading, it is, in my view, that it should, at the very least, be highly recommended' - Scottish Educational Review

'This Second Edition has been brought bang up to date, covering all the maths primary teachers are required to know. Many offerings claim to do this, several bearing the imprimatur of the Teachers Training Agency. This one does not, because, the author explains he has declined to submit it for the "approval" of government agencies.

But this is the one I would choose because of its friendly and clear explanations. While always mathematically correct, it never feels "mathematical". The author never makes the reader feel inadequate, just as we would wish to treat children. I can think of no higher praise' - Laurie Rousman for Times Educational Supplement

'This new edition of Mathematics Explained for Primary Teachers which, incidentally, has slightly larger pages and a clearer layout than the earlier edition, is not just a confidence booster, a gap-plugger and a destroyer of misconception. Nor is it primarily a handbook: it has a plain index, no glossary and scarcely any remarks on "how to use the book". Much more importantly, 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 thislevel' - Mathematics in Schools

Includes a CD-rom!

Derek Haylock's highly acclaimed and comprehensive guide effectively equips teachers with the confidence to explain mathematical ideas and procedures to pupils in ways that will deepen their understanding and enhance their development in the subject.

This expanded Third Edition has been thoroughly updated, with new examples and references. It now covers all requirements of The National Curriculum for Primary Schools, the requirements for Initial Teacher Training, and The National Numeracy Strategy, and includes:

• An expanded chapter on mathematical reasoning

• Detailed explanations based on frequently asked questions

• Teaching points distributed throughout the text

• Summaries of relevant research findings

• Self assessment questions to aid self study

• Annotated suggestions for further reading

• A useful glossary of mathematical terms in each chapter.

The new edition also includes a fantastic bonus CD with useful check-ups from Derek Haylock's Numeracy for Teaching, as well as a full glossary of the mathematical terms used in the new edition of Mathematics Explained for Primary Teachers.

This book is the essential guide to primary maths for ages 5-11.

Cover 1 Contents 6 Introduction 12 SECTION A: Mathematical Understanding 14 1 - Primary Teachers’ Insecurity about Mathematics 16 2 - Mathematics in the Primary Curriculum 25 3 - Learning How To Learn Mathematics 37 SECTION B: Using and Applying Mathematics 48 4 - Key Processes in Mathematical Reasoning 50 5 - Modelling and Problem Solving 64 SECTION C: Number and Algebra 76 6 - Number and Place Value 78 7 - Addition and Subtraction Structures 96 8 - Mental Strategies for Addition and Subtraction 110 9 - Written Methods for Addition and Subtraction 122 10 - Multiplication and Division Structures 136 11 - Mental Strategies for Multiplication and Division 151 12 - Written Methods for Multiplication and Division 166 13 - Remainders and Rounding 177 14 - Multiples, Factors and Primes 189 15 - Squares, Cubes and Number Shapes 200 16 - Integers: Positive and Negative 211 17 - Fractions and Ratios 220 18 - Calculations with Decimals 232 19 - Proportions and Percentages 248 20 - Algebra 261 21 - Coordinates and Linear Relationships 278 22 - Measurement 290 SECTION D: SHAPE, SPACE AND MEASURES 288 23 - Angle 308 24 - Transformations and Symmetry 316 25 - Classifying Shapes 328 26 - Perimeter, Area and Volume 341 SECTION E: STATISTICS 352 27 - Handling Data 354 28 - Comparing Sets of Data 374 29 - Probability 392 Answers to Self-assessment Questions 403 References 418 Index 424 Placing particular emphasis on the development of understanding, this text enables primary school teachers to build the confidence needed to provide appropriate and careful explanation of mathematical ideas and procedures to their pupils Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this best-selling book is an essential resource for all trainee primary teachers.