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Ethnomathematics, as defined by Robert Hunter and Heather Whitely,
is "mathematics used by a defined cultural group in the course of
solving problems related to control of their environment" (Mathematics,
prior knowledge and the Australian Aborigine, 1983).
Giving this
definition a full interpretation, ethnomathematics is to do with
perceptions associated with evaluations, qualities, quantities, and
the relationships between aspects of known realities, including both
spiritual and physical aspects. It is part of, and an
expression of, any people's or group's world view or cosmology.
Early Western
researchers were concerned primarily with quantities and studied
Indigenous Australians' use or lack of use of numbers. Rarely
was the question asked as to whether the Indigenous terms being
spoken about were actually numbers or even part of a number system.
The general assumption of researchers from the eighteenth century
until the mid-twentieth century was that they belonged to an
impoverished version of a number system.
From the 1960s research in
ethnomathematics became more broadly focussed on what exists within
Indigenous cultures that can be considered as a mathematical
approach to the world. |
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As will be seen from the papers
on the web site, within Aboriginal Australia, Indigenous mathematics
focuses intensely on relationships of all kinds. It includes
relationships between all aspects of the known environment, almost
to the exclusion of concerns with quantity, with the patterns of
human relations given as a prime example of this. It is a
world where the identity of anything is perceived as unique and
unchanging and defined by relationships which are also unchanging,
knowledge is gained by discovery or by revelation. In the
academic literature, the jury is still out, as to whether there is a
number system and if so what it is. There are strong arguments
both for and against.
Part of the impetus towards the study of ethnomathematics, as
demonstrated by the papers, has been the necessity for educators to
discover ways of bringing to Indigenous students an understanding of
Western mathematics. To this end a co-operative approach
between Indigenous and non-Indigenous educators has developed.
Further valuable research is
yet waiting to be achieved through this co-operative exploration of
mathematical understandings with Indigenous peoples.
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