The Institute of Mathematical pedagogy meets annually--the theme for 2010 was: "Mathematical Friends & Relations: Recognising Structural Relationships". Here one participant documents her reflections on the experience of working with a group of mathematics educators at the Institute. The challenges, the responses--both the predictable and the…

There are, it seems, few instances when "unintended consequences" are regarded as having a positive and beneficial effect. Here a well-used activity takes on a "life of its own" as a result of the enthusiasm of the learners. The outcome provides insights for all those involved, including the "teacher". Maybe it is…

This article outlines an extension exercise that is based on the elementary geometrical constructions in the National Curriculum. The challenge for students is to organise and execute an extended construction. The hidden, parallel agenda is proof, for the teacher's role is to convince students that they "must" succeed and that doing so is a…

In this article, the author describes what his students are doing following the ATM Easter conference in Telford, where he was inspired by a workshop entitled "Vitamin D Maths," conducted by Jocelyn D'Arcy. He describes an activity that allows his Year 11 students to walk through angles drawn on the floors. This topic will now literally…

This is the second of three articles that draw on findings from Nunes, Watson and Bryant (2009): "Key understandings in school mathematics: a report to the Nuffield Foundation". The report was soundly based on research about how children learn mathematics, much of it done in the UK in the '80s. Most of the findings about algebra are very…

The author discusses how she made up some dice problems for a child's birthday. She presents some activities that can be used with younger and older children based on dice. (Contains 4 figures.)

Emergency shelters for disaster relief are an ever present necessity. Anyone who has ever camped in a tent will understand that finding the perfect design, that will be simple and quick to erect, be stable in a variety of weather conditions, and will accommodate a number of people sleeping, sitting or even standing is not straightforward and…

In the first part to this article, the author described three stages that he believes are effective starting points for translating familiar classroom activities into mathematics-with-information and communications technology (ICT) lessons that exploit the power of variation to focus student attention. In this second part, the author continues to…

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,…

An activity which involves the drawing of geometric designs on familiar number arrangements (such as the addition and multiplication tables and the hundred chart) is used to help students discover patterns and at the same time maintain computation skills. (DT)

Learning activities intended to offer children practice in careful mathematical logical thinking are described. (DT)

Four games are described which are intended to help train secondary school students to make valid deductions and to broaden their understanding of certain mathematical structures. (DT)

Activities that are helpful for teachers and pupils alike in getting the feel for how big a million really is are suggested. (DT)

As an alternative to the usual method of counting squares to find the area of a plane shape, a method of counting lattice points (determined by vertices of a unit square) is proposed. Activities using this method are suggested. (DT)