To most children in primary school role-play is just something you do, and something you enjoy. It is part-and-parcel of being at school, part of the normal classroom activity. So, why can it not just be a normal part of learning mathematics? Can we study learners "in role", and make judgments about what they learn, and how they learn? This is the…

Draft curriculum documents offer a glimpse of the future. They demand a response as all too often the devil is in the detail. What are the devils and maybe demons that await primary mathematics? This forensic consideration of the content of the draft curriculum for primary mathematics catalogues a lack of evidence to underpin proposals. Is the…

In the primary school setting in mathematics is a strategy that is used, so say, to harness teaching resources to enable pupils to maximise their attainment. Setting might be regarded as an honourable, and professional, response to an enduring dilemma for teachers, and managers. However, as with most actions, there are likely to be unintended…

The potential, for the learner, of a maths trail was documented in MT219. Here, the focus is on the planning element of such an event from the perspective of a group of student teachers. Personal reactions, and insights are used to demonstrate that "real, and authentic, learning" takes place for all those involved in the activity.

Playing games in the mathematics classroom has seemingly become unfashionable. Is it that games suddenly are regarded as "lacking in purpose"? Maybe games are seen as incompatible with the "lesson plan and objectives"? Or is it that games and learning are not two words that are expected to appear in the same sentence? Prepare for the mythology…

Ofsted was asked to provide evidence of effective practice in the teaching of early arithmetic, its report entitled; "Good practice in primary mathematics: evidence from 20 successful schools," was published in November 2011. Did this report pass you by? Unfortunately, as with many other reports not blessed with a "high…

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…

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…

"Probability is a difficult concept to teach, because children and adults find it counterintuitive." This is impetus to consider the detailed planning of a set of lessons with a "mixed", in many senses, group of fourth graders. Can the use of prior experience, and the knowledge associated with that experience, make probability a concept that is…

The Nobel prize winning physicist Richard Feynman (2007) famously enthused about "the pleasure of finding things out". In day-to-day classroom life, however, it is easy to lose and undervalue this pleasure in the process, as opposed to products, of mathematics. Finding things out involves a journey and is often where the learning takes place.…

Doug Williams presented the opening address at Conference 2012 on the theme of "Enigmas". Here he continues storytelling about the learning and teaching of mathematics at its best. The descriptions are of real classrooms with real teachers, and real learners. As with many good stories this is the narrative of a journey. A journey that…

This is an account of events in a real classroom when the notion that there is a distinction between calculation by counting, and calculation by structuring is a focus for learning. Pupils have "hands-on" experiences that support their understanding of "number". The teaching "aid" might be unfashionable in…

What pupils think about mathematics often features in discussion between mathematics educators. But, how often is "what learners think about their mathematics lessons" a feature of enquiry? It could be a "high risk" strategy to garner honest comment that relates to the "classroom experience". Notions of…

Most children enjoy maths in the early primary stage, but as schooling continues this decreases. Learning without understanding leads to lack of confidence and frustration. Children need, not to "do" maths, but to be mathematicians; to be able to describe their world in mathematical language; to generate ideas and prove, or disprove them, by…

In deciding whether to choose a real event from which to develop children's mathematical understanding, it is crucial to have a clear appreciation of what mathematics pupils need to learn. In this article, the author looks at the issue of "context"--the positives, and negatives for the learner. He describes a project in which the context…