Using Mathematics to Understand the World offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world.

Terezinha Nunes is a Brazilian Psychologist with a doctorate from City University of New York and a Doctor Honoris Causa from Szeged University. She is Emeritus Professor of Education, Oxford University. She received the 2017 Freudenthal Award for innovative and influential research in mathematics education from the International Committee on Mathematics Instruction.

Peter Bryant's research has been on children's cognitive development and its impact on how they learn to read and write and to do mathematics. He is a FRS and he was the Watts Professor of Psychology at Oxford University for several years.

1. Mathematical models and thinking 2. Counting, adding and natural numbers 3. Sharing, dividing and rational numbers 4. Word problems, implicit agreements, quantitative reasoning and arithmetic 5. Promoting quantitative reasoning in elementary school 6. When what we know is not what we see