Visible Maths supports maths teachers in the use of concrete and pictorial representations to illuminate key mathematical ideas and concepts. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of the concepts and relationships in maths, rather than to simply learn how to follow algorithms and processes that lead to `the answer’, is increasingly recognised as the pinnacle of best practice in maths education. In this book Peter Mattock explores this approach in detail: focusing on the representations and structures that illustrate and elucidate key mathematical ideas, demonstrating their strengths in developing conceptual understanding, and exposing the potential pitfalls of their use and how to avoid them. Covering number lines, proportion diagrams, ordered pair graphs, the bar model and many other means of representation, Visible Maths maps out for teachers the maths mastery journey that will take their pupils’ learning to the next level.
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Peter Mattock has been teaching maths for over 15 years. 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 first cohort of specialists trained in mastery approaches by the National Centre for Excellence in the Teaching of Mathematics (NCETM).
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 math 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 recognized as the pinnacle of best practice in math education.
In this book, Peter Mattock builds on this approach and explores "€" in colorful 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 math teachers 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 color to illustrate the conceptual takeaways and teaching techniques discussed.
Suitable for math teachers in primary and secondary schools.
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