ABSTRACT
Pattern is an essential aspect of mathematics; indeed some have argued that mathematics is all about the study of pattern (Orton 2005; Devlin 2003). Recognising that a sequence of objects makes a pattern, explaining why, being able to copy, extend and create a new pattern are early steps towards an understanding of spatial patterns and number patterns, and an appreciation of the power of algebra. The study of algebra can be exciting as the proposals for the Mathematics National Curriculum recognised (DES 1988):
Mathematics is not only taught because it is useful. It should also be a source of delight and wonder, offering pupils intellectual excitement, for example, in the discovery of relationships, the pursuit of rigour and the achievement of elegant solutions.
