In this article, the author discusses a project involving the observation of 12 teachers in different schools, teaching pupils at Key Stage 3 of differing ages and abilities, noting both questioning techniques used and pupils' responses. The teachers involved were volunteers, chosen to give a range of experience, styles, and school, and included a…

The author describes a dialogue with his three-year-old daughter about numbers. He discusses aspects of mathematics education and how his views about how students acquire mathematical knowledge have changed. (MP)