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…

General Certificate of Secondary Education (GCSE) mathematics assessment previously included a piece of coursework that required learners to develop a general equation to describe the relationship between two groups of numbers on a number grid. In this author's experience, it became clear that Year 10 students often struggled to form a link…

Having used the DfES "Problem Solving" pack in a variety of school and centre-based applications, the author taught some of the lessons to classes of children and also observed lessons from the pack being taught to classes from Y1 to Y6. The lessons are part of a series of materials from the Primary National Strategy designed to help…