Table of Contents

Contents: Foreword by Robin Ince Introduction This and That Make Ten - Number bonds and operations The Real Deal - Numbers, digits and numerals 1, 2, 3, Lots - The purpose and scope of numbers Two Square Thoughts - The nature of numbers Base Jumping - The decimal system and its alternatives A Jump to the Left ... and a Step to the Right - Place value A Plus Point - Addition and the beginnings of mathematics Don't Drag the Tables - Rote learning The Cocky Chicken - Mathematical knowledge and logic Square Are They? - Shapes and definitions Prime Innit, Sir - Prime numbers Arch Angles - Geometry in art Less to Square - Square numbers This Land is My Land - Area Zero the Hero - The history and development of our number system Squintasticadillion and One - High numbers and the invention of numerical terms Beauty Secrets - The golden section in art and nature A Bit More Than Three - Pi, and the perimeter and area of a circle Inbetweeny Bits - The concept of fractions Half to You - Fractions in everyday language Action Fractions - The practical application of fractions Go Compare - Percentage Your Average Number - Averages - mode, median and mean Our Street - Geometry in the built environment Sets Education - Sets and the individual's number line Stairs Into Space - Estimating , reasoning and dividing Bone Setting - Algebra Voyager - Maths as universal truth Bibliography Acknowledgements

About the Author

Andrew has a background in language teaching and a degree in Philosophy and Social Anthropology, the combination of which have sparked his passionate curiosity into the part that language plays in the development of thinking. Having joined The Philosophy Foundation in 2009, Andrew quickly invested in their ethos, striving to encourage young people to think philosophically. Peter Worley BA MA FRSA is co-founder and CEO of The Philosophy Foundation, President of SOPHIA, and an award-winning author and editor of books about doing philosophy in schools.Peter is resident philosopher at 4 state primary schools in Lewisham, visiting philosopher at Wellington College and Eagle House School, and a Visiting Research Associate at Kings College London's Philosophy Department. He has delivered training for philosophy departments across the UK, including Edinburgh, Warwick, Oxford Brookes and Birmingham Universities. He talks, presents, writes and gives workshops about philosophy in schools and The Philosophy Foundation's work - but importantly continues to work in the classroom which is the inspiration for his pedagogy, philosophy in schools practice, theory and writing.