Sixteen original essays exploring recent developments in the philosophy of mathematics, written in a way mathematicians will understand.

This book identifies the pitfalls of applying precautionary strategies to high-stakes risks that have already become entrenched. Precaution must be applied on a

This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments

This Element looks at the contemporary debate on the nature of mathematical rigour and informal proofs as found in mathematical practice. The central argument i

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathema