It is frequently surprising to new teachers (and even those with experience) when they find that not only do some children need to recount the group they have just counted to be assured of the total but also that this need seems to be resistant to intervention. Although moving from "counting-all" to "count-on" is sometimes…

Many fraction activities rely on the use of area models for developing partitioning skills. These models, however, are limited in their ability to assist students to visualise a fraction of an object when the whole changes. This article describes a fraction modelling activity that requires the transfer of water from one container to another. The…

In this article, Lorraine Jacob and Joanne Mulligan discuss how arrays can be used to promote students' early learning in relation to multiplication and division. They provide examples of activities that can be used from Foundation to Year 5.

Presents a lesson that provides students in the early primary grades with the opportunity to explore counting techniques and develop an informal sense of permutations and combinations. (Author/CCM)

Presents an activity carried out by aboriginal students that addresses solving a real-life problem that could be linked to number sequence, graph theory, and combinations. Contains 14 references. (ASK)

Compares methods of subtraction used by children and teachers. Suggests ways to encourage children to invent their own subtraction algorithms. (CCM)

Helping children become mathematicians is a valuable way to engage them with the power of mathematics. Describes an example with primary children and distance education. (ASK)