Proportional thinking is the mathematical basis of a wide range of topics in the middle-school mathematics curriculum. While the concept is obvious in the traditionally-named ratio and proportion sections, proportional thinking is also the key to such diverse topics as rate, gradient of a linear function, similarity, trigonometry and percentage,…

In this article, the author focuses on possible ways to develop the concepts of joint variation and function through the upper primary and lower secondary years of education. The examples demonstrate the building of a range of important mathematical ideas by modelling life-related situations using students' informal and intuitive knowledge. Over…

The definition is an important language form in the register of mathematics. Students need to understand the structure of a definition so that they can make sense of the definitions they encounter and so that they can construct their own definitions as part of organising their thoughts about the concepts they have explored. This article suggests…

Outlines a few classroom applications of mathematics using commercial internet sites such as internet banking, house plans, garden watering systems, and industrial awards. (ASK)

Suggests that student writing has definite benefits for mathematics learning. Presents five activities to help teachers use writing in their mathematics classes. (ASK)

Describes a series of lessons used with a year-five class which encouraged the use of analogical reasoning in problem solving and giving attention to students' awareness of strategies and applications. Students were encouraged to discuss and question their own thinking to make connections among the problems being solved. (MKR)

Discusses a method of examining student expository writing that can be used by teachers to evaluate students qualitatively. (MKR)