What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics

This book gives teachers of English Literature an engaging new way into texts, using the skills and approaches of A level Critical Thinking. It also provides teachers of Critical Thinking with useful and stimulating resources with which to practise the skills required at A level. It will also help teachers looking for ways to engage students not drawn to literature, and any teacher trying to improve the analytical skills of their English students. Topics Include- Critical Thinking does poetry - with a little help from John Donne, Andrew Marvell and Philip Larkin - Much Ado About...the credibility of evidence- Hamlet, Cathy and Catherine try to resolve dilemmas; - Isabella, Angelo and Iago compete for the highest marks in Critical Thinking- What's the difference between a metaphor and a lie?- First person narration: who can we trust? Based on practical experience, this book explores the interface between two apparently polarised subjects, one analytical and objective, the other traditionally in the aesthetic and affective domain; one eschewing ambiguity, the other celebrating it. The progeny of this unlikely coupling provides teachers and students of each subject with a stimulating, exciting and unifying way of enhancing their learning.

The book will give tips on revising efficiently, writing essays under exam conditions and reading/reacting to texts under pressure, as well as giving students an idea of how exams are marked and the kind of critical thinking examiners will expect students to be able to demonstrate.