This author agrees with the sentiments of John Hibbs' article "Was there ever any point to the three-part lesson?" (MT219). In particular the author fully supports a flexible approach to the structure of lessons. There are two interesting questions that arise from Hibbs' article: (1) Are there reasons for the large-scale adherence of teachers to…

Somewhere in a programme of study for mathematics in Key Stages 3 and 4 you would expect to find the terms mean, mode, median, and range. You might even find the terms central tendency, and variation. Many students following such a programme will be able to calculate the mean, most will be able to quote the mode, and some students will be able to…

In a vain attempt to breathe new life into his blog (NCETM: MacMaths) the author has reproduced in this article his most popular attempt in which he talks about three-part lessons. He has nothing against three-part lessons, only their indiscriminate use, and the link that is often made to sharing learning objectives. That a lesson has a start,…

A group of teachers involved in embedding NRICH tasks into their everyday practice decided they needed to address the (im)balance between teacher and student activity in their classrooms. In this article they share the issues they identified, and what they have been doing to address them.

In this article, the author suggests a framework for developing lesson ideas involving variation. This idea was demonstrated by Rebecca Davey at a conference bringing together teachers from the seven schools participating in the TI-"n"spire pilot research project overseen by Alison Clark-Wilson of the University of Chichester. It uses information…

The authors explore the teaching of trigonometry using a method developed by Jeremy Burke of Kings College. A series of lessons was planned using an approach which looks at moving from a mathematical description of the topic, to a sequence plan, to a set of activities, which students can use to help them come to understand the topic. This is…

This final article focuses in particular on the engagement of year 8 students who were taught trigonometry using dynamic geometry software ("Geometer's SketchPad"), as outlined in "MT214" and with resources from the ATM website. The project was implemented in three different classrooms in two different, multiracial,…

Describes the use of lesson starters called Snappies to sharpen numeracy skills. Discusses teachers' views of Snappies, the difficulties of using them, and their impacts on pupils' performance in and perceptions of mathematics. (ASK)

While attending a Postgraduate Certificate in Education (PGCE) course, this author was provided with the time and encouragement to try out different activities, styles, and strategies of teaching. She used this time to develop numeracy starter lessons with Y7 students, spending two weeks with each of four sets of students. She decided from the…