chapter  10
8 Pages


This book has offered an exploration of the metaphor of ‘manipulation’, asking what (and at times, who) is being manipulated, if anything at all. Throughout this book, I have found myself using the term ‘manipulation’ over and over as the key metaphor for ‘doing’ mathematics. I am interested in the language we have for talking about engaging in, performing or carrying out mathematical activity-and what sort of activity the ways we talk about it suggest it to be. For instance, how are we to entertain algebraic things-does manipulation require us to have mathematical things to be manipulated?