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.…

In this article, the author shares one effective lesson idea on straight line graphs that he applied in his lower ability Y9 class. The author wanted something interesting for his class to do, something that was fun and engaging with direct feedback, and something that worked because someone else had tried it before. In a word, the author admits…

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…

An alternative approach is described for presenting the idea of the derivative through the use of chords of a graph. (MP)

Topics discussed are: triangular numbers; three proofs of the surface area of a sphere; reverse notation; highest common factors; square roots from a graph; and clock geometry. (MP)

Two approaches to the teaching of logarithms are described. One is essentially algebraic while the other involves integration. (SD)

The representation of equivalent fractions is traditionally illustrated by diagrams showing division of units into parts. A second approach using linear graphs is suggested. (SD)

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

A collection of brief articles on mathematics and teaching mathematics. (FL)

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

An approach to teaching multiplication and division with negative numbers that focuses on graphs to illustrate concepts is revealed. The material and problems used are presented with comments on the teaching methods applied with 11-year-olds. (MP)