Book Reviews: Fundamentals of teaching mathematics at university level

With the assessment of teaching acquiring a more important role in British universities a book with such a title should be valuable. It is however a bit of a curate's egg.

There are valuable parts: a list of AMS MAA and LMS videos in appendix B and i n other appendices interesting quotations and teaching maxims. There is a fine acknowledgement in chapter 6 of how reading a maths book must be done quite differently from reading most other kinds of books and in the same chapter a recommendation that every formal definition should be accompanied by an intuitive description. Chapter 11 contains a good section on diagrams and generic examples and another on special cases and generality with the same idea reiterated in chapter 12.