Of the "big four", division is likely to regarded by many learners as "the odd one out", "the difficult one", "the one that is complicated", or "the scary one". It seems to have been that way "for ever", in the perception of many who have trodden the learning pathways through the world of…

In "MT218" the author looked at the possibility of basing a classroom activity on a simple, though not totally transparent, number-theoretic result. In this article he considers another relatively straightforward idea from number theory that could be used either as a lesson starter or as the basis of a more substantial task, requiring students to…

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…

In this article, the authors share a European perspective on teaching linear equations in Finland, Flanders, and Hungary. They begin with an assertion that it is through observation, in its broadest sense, and opportunities for participation, that people assimilate themselves into the culture in which they are raised. They discuss three approaches…

The field of mathematics is complex, areas such as arithmetic, and geometry each consist of several sub-domains and encompass many cognitive processes. Achievement tests for elementary pupils assess a wide range of arithmetic skills such as number sense, procedural knowledge, and using problem solving strategies. Although mathematical tests often…

Some suggestions for the use of commutative arrow diagrams in secondary school mathematics. (MM)

Notes on jeep trips and card stacks; some work with Multibase Arithmetic Blocks, the complex roots of unity, and a divisibility test. (MM)

Evaluates the National Numeracy Strategy (NNS) as a successful framework for promoting confidence and competence with numbers and measures, an understanding of the number system, a repertoire of computational skills, and the ability to solve number problems in a variety of school contexts. Suggests taking steps to change children's mathematical…

A series of puzzle-type activities combining arithmetic reasoning and geometric figures is described and illustrated. (SD)

An approach to solving many linear programming problems, using only arithmetical thinking in conjunction with the usual diagram, is given. (MN)

An attitude survey and arithmetic tests were given to samples of students in order to quantify the benefit obtained from their use of calculators. Results showed that the use of the calculators does improve students' arithmetic performance with the less able students showing about twice the improvement of the more able. (MN)

A description of a week's work in mathematics carried out by a first year group of grammar school boys, answering the question which is the title of this article. (MM)