In this article, framed as a conversation, the authors discuss the learning resulting from a variety of geometry tasks they have conducted with their students. None of them are convinced that all the geometry tasks within the numeracy strategy prescribed in English schools are necessarily good for children or aimed at the right age range. Using…

There have been calls for at least 30 years in American education for a return to basics in mathematics instruction. The problem lies in defining what is basic. Mathematics is more than arithmetic. It is a fabric of ideas, relationships, principles and procedures. But all too often the emphasis in classroom instruction is on static facts and…

This paper discusses the three outreach projects in Kent, a girls grammar school with a mixed sixth form. Due to the selective system in Kent they have around 100 potential feeder schools with their Year 7 intake of around 150 arriving from about 70 different primary schools, some of which are independent. In this article, the author describes the…