Summary Pattern and generalisation are both thought to be fundamental to mathematics and are therefore important in mathematics education. This study investigates how children throughout the junior age range generalise about number patterns and the cognitive processes involved in this. The data were collected from 315 children aged between 7 and 11 years, by means of a workbook which gave children the opportunity to work with different types of pattern within different tasks. Analysis of the data revealed the different types (...) of generalisation made by the children and the different cognitive processes which seemed to be involved. This paper examines specifically the strategies children use when they make generalisations about individual number patterns and briefly discusses how these vary across year groups. (shrink)

This article is concerned with the relationship between assessment information and teacher planning. In the UK, although planning used to be central to characterisations of formative assessment, the most recent government proclamations under the 'Assessment for Learning' banner offer no clear role for teachers making decisions about what to do based on assessment information. In this article, the reasons behind the shift will be examined. 'Contingent planning' will be proposed as a mechanism for using assessment information in a planning context.