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Mathematical ideas and indigenous languages

Recent interest in how anthropology and linguistics relates to mathematics has led to recognition that mathematical thinking is a function of language in ways not previously recognised. Ethnomathematics, cognitive linguistics, and anthropology are all pointing to a way of understanding mathematical ideas based on human experience and cultural activities. Formal mathematics can be seen to have developed from metaphors deeply embedded in our languages. This raises the question of relativity in mathematics. Do different languages embody different types of mathematics? This chapter examines some emerging evidence in the grammar and syntax of indigenous languages, i.e. languages structurally very different from the Indo-European linguistic tradition. The educational consequences of the possibility of different mathematical thinking is briefly discussed.