The work of Glendon Lean on the counting systems of Papua New Guinea and Oceania

@article{Owens2001TheWO,
  title={The work of Glendon Lean on the counting systems of Papua New Guinea and Oceania},
  author={Kay Owens},
  journal={Mathematics Education Research Journal},
  year={2001},
  volume={13},
  pages={47-71}
}
  • K. Owens
  • Published 1 April 2001
  • Linguistics
  • Mathematics Education Research Journal
Glendon Lean collated data on nearly 900 counting systems of Papua New Guinea, Oceania, and Irian Jaya (West Papua). Lean’s data came from a questionnaire completed by students and talks with village elders. He read old documents written in English, German, and Dutch. He made comparisons between older and new accounts of the counting systems and compared neighbouring counting systems from both Austronesian and non-Austronesian languages. His work drew attention to the rich diversity of the… 

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References

SHOWING 1-10 OF 27 REFERENCES
Yupno Number System and Counting
The starting point of this study is the apparent contradiction between the existence in Yupno (Papua New Guinea) culture of an elaborate number system and the lack of importance attributed to
The Logic of Misplaced Concreteness: Paiela Body Counting and the Nature of the Primitive Mind
The paper has two goals: to demonstrate ethnographically the connection between “structure” and communication, which Levi-Strauss has consistently alleged to exist, and to challenge the thesis of
Body parts as numerals: A developmental analysis of numeration among the Oksapmin in Papua New Guinea.
SAXE, GEOFFREY B. Body Parts as Numerals: A Developmental Analysis of Numeration among the Oksapmin in Papua New Guinea. CHILD DEVELOPMENT, 1981, 52, 306-316. The purpose of this paper is to present
The Mathematical Brain
TLDR
This text, containing theories and anecdote, is an investigation into the bizarre world of numbers and examines the role of education, good or bad, in the development of mathematical disorders.
Geometry from Africa | Mathematical and Educational Explorations
Geometry from Africa: Mathematical and Educational Explorations
1. On geometric ideas in Africa south of the Sahara 2. From African designs to discovering the Pythagorean Theorem 3. Geometric ideas in crafts and possibilities for their educational exploration 4.
Papuan Languages of Oceania
Numeration in the cultures of Oceania. Paper presented at the international
  • 1990
Indigenous mathematics systems: Introduction
  • Paplla New Guinea JOllrnal of Education,
  • 1978
COllnting systems of Papua Ne7.u Guinea and Oceania
  • Unpublished PhD thesis,
  • 1992
...
1
2
3
...