An Archaeology of Mathematical Structure in New Zealand

Abstract

The purpose of this paper is to provide a framework within which we can make sense of the question 'What is the cultural component of mathematics?'. In other words, can we describe mathematics in a way which is acceptable to mathematicians but which will also include culturally different approaches to the subject? The relationship between mathematics and culture also arises in the international arena as ethnomathematics. Research in this area explores the functions of mathematics in a cultural context (Bishop and Stigler & Baranes) and thereby provides a framework for further anthropological study. This paper widens this frame-work so that mathematics itself (not just its functions) may be perceived in a cultural context.