Conceptual Maths

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

By: Peter Mattock


Published: April 2022

Size: 297 x 210mm

ISBN : 9781785835995

Format: Paperback

Pages : 400 (est)

Availability: Forthcoming

Empowers teachers to support students on a coherent journey through school mathematics, showcasing the best models, metaphors and representations along with excellent examples, explanations and tasks 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 are doing what they do, using them flexibly as need demands.

In his first book, Visible Maths, Peter Mattock focused on how the use of representations and manipulatives as images and tools can provide a window into some of these mathematical structures. His aim in Conceptual Maths is to go deeper, beyond the procedures, and to shed greater light on the structures of the subject’s different concepts.

Peter delves into a broad range of topic areas – covering addition/subtraction, multiplication, division and factors, measures, accuracy, probability, shape and transformation among many others. In so doing, he 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.

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

Picture for author Peter Mattock

Peter Mattock

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).

Read Peter's features in TES:
Why our SLT need to be as accountable to us as we are to them'

The government and Ofsted have cost more people their careers than I can count'

Four ways to make sure maths teachers stay happy (and stay put)'

Take it from the task-master: easy ways to get pupils thinking'

Ten steps to surviving as a new head of department'

Five ways maths teachers can persuade secondary colleagues to embed numeracy'

How to grade questions in the new GCSE system'


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