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The Premier New Zealand Scholarship, awarded annually to students performing at a high level in multiple secondary school subjects, has historically been dominated by students with successful results...

Memorising a large repertoire of basic facts takes a significant cognitive load off the brain, allowing greater focus on the mathematics being explored. Neill outlines the benefits of having...

A solid mathematical vocabulary is a crucial basis for later mathematical learning. This article follows the development of mathematical language in a two-year-old. It examines when preschoolers...

This article reports on the ways in which effective teachers plan instructional tasks that provide diverse learners with opportunities to access and engage with important mathematical concepts and...

This article reports on the analysis of a videotape of four children participating in a group mathematical task. The authors discuss the ways that the context, social organisation, and resources of...

Instruction can help students develop a richer understanding of estimation and a wider range of strategies.
The students in this study started with a fairly limited understanding of estimation,...


How high and low achieving students view small-group work, and its effect on their performance.

Adults were interviewed to discover the mathematics they actually used in their everyday life and their workplaces. School mathematics is relatively unimportant but estimating, optimising, and using...

7/16ths, is it bigger or smaller than 8/17ths?
Fractions are notoriously difficult. Difficult to learn and difficult to teach. I have carried out, with help, some research which throws light on the...

What number concepts and skills do children have when they start school? How has their understanding changed after a year? How aware are teachers of what the children know? What number concepts and...
