Over the years the technology behind displaying the image of the unit circle has changed, but the defining features remain constant. The key question for the author as a teacher is this: are the relationships embodied in the image simple, memorable and rich enough to be grasped by any KS3 student at his school? It needs to be simple enough to…

In this article, the authors talk about transformation geometry being treated as little more than a set of tricks rather than as a mathematically rigorous topic. This appears to lead to pupils seeing little point in studying "reflections, rotations and translations" as other than examinable items in some future test. Following the argument…

Alf Coles and Barry Orr reflect on what it looked like when Alf taught a year 7 lesson. In this article, Alf was asked by Barry (student) if he would take a lesson with the Y7 class that he had taken over from another teacher in the department in order to see what someone else might do with his lesson plans. Alf describes what some moments with…

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…