• Biersack, A. (1982). The logic of misplaced concreteness: Paiela body-counting and the nature of primitive mind.American Anthropologist, 84, 811–829.

  Article  Google Scholar 

• Bowers, N., & Lepi, P. (1975). Kaugel valley systems of reckoning.Journal of the Polynesian Sodety, 84, 309–324.

  Google Scholar 

• Butterworth, B. (1999).The mathematical brain. London: Macmillan.

  Google Scholar 

• Clarkson, P. (1996). NESB migrant students studying mathematics: Vietnamese and Italian students in Melbourne. In L. Puig & A. Gutiérrez (Eds.),Proceedings of the 20th conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 225–232). Valencia, Spain: Program Committee.

  Google Scholar 

• Deakin, M. (1995, July).The origins of our number-words. Invited address presented at 39th annual conference of the Australian Mathematical Society, Hobart.

• Drabbe, P. (1949). Bfjzonderheden uit de talen van Frederik-Hendrik-Eiland: Kimaghama, Ndom en Riantana [Special features of the number systems on Frederik Hendrik Island: Kimaghama, Ndom and Riantana].Bijdragen tot de Taal-, Land- en Volkenkunde, 105, 1–24.

  Google Scholar 

• Franklin, K. (1971). A grammar of Kewa.New Guinea, 3–16.

• Franklin, K., & Franklin, J. (1962). The Kewa counting systems.Journal of the Polynesian Society, 71, 188–191.

  Google Scholar 

• Galis, K. (1960). Telsystemen in Nederlands-New-Guinea [Counting systems in Duth New-Guinea].Nieuiv-Guinea Studien, 4(2), 131–150.

  Google Scholar 

• Gerdes, P. (1999).Geometry from Africa: Mathematical and educational explorations. Washington, DC: Mathematical Association of America.

  Google Scholar 

• Ifrah, G. (1998).The universal history of numbers: From prehistory to the invention of computers (D. Bellow, E. Harding, S. Wood, & I. Monk, Trans.). London, England: Harvill Press.

  Google Scholar 

• Lancy, D. (1978). Indigenous mathematics systems: Introduction.Papua New Guinea Journal of Education, 14, 6–15.

  Google Scholar 

• Lean, G. (1988).Counting systems of Papua New Guinea (Vols. 1-17). Lae, PNG: Papua New Guinea University of Technology.

  Google Scholar 

• Lean, G. (1990). Numeration in the cultures of Oceania. Paper presented at the international research seminar on Mathematics and Science Education: The Cultural Context, Deakin University, Geelong, VIC.

• Lean, G. (1991).Counting systems of Papua Neiv Guinea: Vol. 9, Enga, Western, and Simbu Provinces; Vol. 10, Southern Highlands Province; Vol. 13, Sandaun (West Sepik) Province; Vol. 14, East Sepik; Vol. 15, Madang Province (2nd ed.). Lae, PNG: Department of Mathematics and Statistics, Papua New Guinea University of Technology.

  Google Scholar 

• Lean, G. (1992).Counting systems of Papua New Guinea and Oceania. Unpublished PhD thesis, Papua New Guinea University of Technology, Lae, PNG.

  Google Scholar 

• Pumuge, H. (1975). The counting system of the Pekai-Alue tribe of the Topopul village in the Ialibu sub-district, Papua New Guinea.Science in New Guinea, 3(1), 19–25.

  Google Scholar 

• Ray, S. (1926).A comparative study of the Melanesian island languages. Cambridge, England: Cambridge University Press.

  Google Scholar 

• Ross, M. D. (1988). Proto-Oceanic and the Austronesian languages of Western Melanesia.Pacific Linguistics, C-98.

• Salzmann, Z. (1950). A method for analyzing numerical systems.Word, 6, 78–83.

  Google Scholar 

• Saxe, G. (1981). Body parts as numerals: A developmental analysis of numeration among the Oksapmin in Papua New Guinea.Child Development, 52, 306–316.

  Article  Google Scholar 

• Seidenberg, A. (1960). The diffusion of counting practices.University of California Publications in Mathematics, 3 (Whole No.).

• Seidenberg, A. (1962). The ritual origin of counting.Archive for the History of the Exact Sciences, 2 (3), 1–40.

  Article  Google Scholar 

• Smith; G. (1984).Morobe counting systems: An investigation into the numerals of the Morobe Province, Papua New Guinea. Unpublished M. Phil thesis, Papua New Guinea University of Technology, Lae, PNG.

  Google Scholar 

• Smith, G. (1988). Morobe counting systems.Papers in New Guinea Linguistics, A-76 (pp. 1–132). Canberra: Pacific Linguistics.

  Google Scholar 

• Strathern, A. (1977). Mathematics in the Moka.Papua New Guinea Journal of Education, 13(1), 16–20.

  Google Scholar 

• Wassmann, J., & Dasen, P. (1994) Yupno number system and counting.Journal of Cross-Cultural Psychology, 25, 78–94.

  Article  Google Scholar 

• Wurm, S. (1982).Papuan languages of Oceania. Tübingen, Germany: Gunter Narr Verlag.

  Google Scholar 

• Wurm, S., & Hattori, S. (Eds.). (1981).Language atlas: Pacific area, Part 1. Canberra: Australian Academy of the Humanities.

  Google Scholar 

• Zepp, R. (Ed) (1993).Ethnomathemntical lessons for Papua New Guinea high schools. Goroka. PNG: Department of Mathematics Education, University of Papua NewGuinea.

  Google Scholar 

Download references