Peter Mattock’s Visible Maths: Using representations and structure to enhance mathematics teaching in schools supports teachers in their use of concrete and pictorial representations to illustrate key mathematical ideas and operations. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to ‘the answer’, is increasingly recognised as the pinnacle of best practice in maths education.
In this book, Peter Mattock builds on this approach and explores – in colourful detail – a variety of visual tools and techniques that can be used in the classroom to deepen pupils’ understanding of mathematical operations. Covering vectors, number lines, algebra tiles, ordered-pair graphs and many other representations, Visible Maths equips teachers with the confidence and practical know-how to take their pupils’ learning to the next level.
The book looks at the strengths, and flaws, of each representation so that both primary and secondary school teachers of maths can make informed judgements about which representations will benefit their pupils. The exploration begins at the very basics of number and operation, and extends all the way through to how the representations apply to algebraic expressions and manipulations. As well as sharing his expert knowledge on the subject, Peter draws on relevant research and his own experience of using the representations in order to support teachers in understanding how these representations can be implemented effectively.
Visible Maths also includes a glossary covering the key mathematical terms, as well as a chapter dedicated to answering some of the questions that may arise from the reading of the book. Furthermore, the accompanying diagrams and models are displayed in full colour to illustrate the conceptual takeaways and teaching techniques discussed.
Suitable for teachers of maths in primary and secondary school settings.
An ideal guide for those educators who want to help their pupils ‘see’ and ‘feel’ the mathematics. Steve Lomax, mathematics adviser and national teaching for mastery lead
Visible Maths is a thoughtful, careful and thorough exploration of some of the most useful visual models we can use to teach mathematics. Lucy Rycroft-Smith, Research and Framework Design, Cambridge Mathematics
An invaluable resource to refer to again and again, this book deserves a place on the shelf in every school’s maths department.
Jonathan Hall, Lead Maths Practitioner, Leeds City Academy and creator of mathsbot.com
Visible Maths provides a practical guide to using representations and manipulatives in the classroom, demonstrating how we can offer pupils coherence in the representations we choose to use, irrespective of the complexity of the topic we are studying.
Emma McCrea, teacher trainer and author of Making Every Maths Lesson Count
I recommend Visible Maths to all those who constantly consider different ways of supporting their teaching and their pupils’ learning. Geoff Wake, Professor of Mathematics Education and Convenor of the Centre for Research in Mathematics Education, University of Nottingham
|Publication date:||22nd February 2019|
|Publisher:||Crown House Publishing Ltd|
|Year Groups:||Key Stage 2, Key Stage 3, Key Stage 4|
Peter Mattock has been teaching maths for over a decade. He is a specialist leader of education (SLE) and an accredited secondary maths professional development lead, who regularly presents at conferences across the country. Peter also develops teaching for mastery in the secondary school classroom, having been part of the the first cohert of specialists training in mastery approaches by the National Centre for Excellence in the Teaching of Mathematics (NCETM).More About Peter Mattock