We will talk here about teaching, but at the centre of our discussion must be mathematics, because without the subject, there is nothing to teach. We must go beyond mathematics, of course, because the task of the teacher is not so much to work with the subject as to bring it into the classroom, and this requires a particular kind of intimacy with and understanding of the discipline. Our thesis is
... [Show full abstract] that what is central to this understanding is what we call “method”, more precisely, mathematical method, the way in which mathematicians do mathematics.