Conceptual Maths (Teaching 'about' (rather than just 'how to do') mathematics in schools)

Written by Peter Mattock,Conceptual Maths: Teaching 'about' (rather than just 'how to do') mathematics in schoolsaims to empower teachers to support students on a comprehensive and coherent journey through school mathematics. Showcasing the best models, metaphors and representations, it provides excellent examples, explanations and exercises that can be used across the curriculum.

Concepts are at the heart of the study of mathematics. They are the ideas that remain constant whenever they are encountered, but which combine and build upon each other to create the mathematical universe. It is the structure of each concept that gives rise to the procedures that are used in calculation and problem-solving - and, by learning about these structures, a learner can make sense of how different processes work and use them flexibly as need demands.

In his first book,Visible Maths, Peter Mattock focused on the use of representations and manipulatives as images and tools and how this can provide a window into some of these mathematical structures. His aim inConceptual Mathsis to go deeper, beyond the procedures, and to shed greater light on the structures of the subject's different concepts. The book explores how a variety of visual tools and techniques can be used in the classroom to deepen pupils' understanding of mathematical structures, concepts and operations, including: number; addition and subtraction; multiplication and multiples; division and factors; proportionality; functionality; measures; accuracy; probability; shape and transformation; and vectors, among many others. In so doing, Peter equips teachers with the confidence and practical know-how to help learners assimilate knowledge of mathematical concepts into their schema and take their learning to the next level.

Containing numerous full-colour diagrams and models to illustrate the conceptual takeaways and teaching techniques discussed,Conceptual Mathsalso includes a glossary covering the key mathematical terms.

Suitable for teachers of maths in primary, secondary and post-16 settings

Empowers teachers to support students on a comprehensive and coherent journey through school mathematics, showcasing the best models, metaphors and representations and providing excellent examples, explanations and exercises that can be used across the curriculum..

All of compulsory school mathematics tied up elegantly in a detailed and comprehensive narrative. Concepts are explained with great clarity of language, beautifully clear representations and plenty of examples. New life is breathed into ideas - like surds, for example, - with a fresh and rarely seen viewpoint.This book will become a central reference for anyone teaching mathematics. - not just for teaching but for the pure joy in understanding the structures of mathematics from various new viewpoints. I know I will refer to it often in years to come."

Atul Rana

Conceptual Maths is a superbly detailed exploration of the structure of key maths concepts which will be useful for anyone who is interested in the teaching and learning of school- level mathematics. Whether used to inform curriculum- level decisions or day-to-day lessons, this book will be invaluable for both.

Charlotte Hawthorne

Mattock's Conceptual Maths provides a real focus on the understanding of concepts and the need for teaching for understanding. Key to this are the connections made between different concepts, subconcepts and procedures. Representations repeat to support connecting ideas and these are repeated across numerous concepts. For example, repeated representations show clear connections between multiplication of integers and multiplication of surds and how these ideas link to those of factors, multiples and equality. As a primary practitioner, I do not understand surds. However, I can clea