Camilla Gilmore is a Reader in Mathematical Cognition in the Mathematics Education Centre at Loughborough University. Her research explores the development of numerical skills in children and adults.

Silke Göbel is a Senior Lecturer in Psychology at the University of York. She teaches courses on Numerical Cognition, Dyscalculia, Mathematics Anxiety and Neuroscience of Numbers and Arithmetic. Her current research focuses on predictors of mathematical development.

Matthew Inglis is a Reader in Mathematical Cognition in the Mathematics Education Centre at Loughborough University. He is interested in understanding the processes involved in numerical and mathematical reasoning, and how these can be promoted through education.

1. Introduction 2. Nonsymbolic number 3. Symbolic number 4. The development of arithmetic skills 5. Understanding arithmetic concepts 6. Individual differences and mathematical difficulties 7. Number systems 8. Algebra and equivalence 9. Mathematical argumentation and proof 10. Logic, conditional reasoning and mathematics 11. Where next for mathematical cognition?