wwwvl.gif The World-Wide Web Virtual Library
[Alphabetical || Category Subtree || WWW VL database]

Bibliography of Anthropology of Quantification

by
Robert Lawless robert.lawless@wichita.edu

Last updated: 5 Jun 2003

This document is a part of a larger collection of the AnthroGlobe specialist bibliographies. It forms a subsection of the Asian Studies WWW VL and Pacific Studies WWW VL.

Do you have any corrections or addenda to this bibliography- If so, contact the Editor at the email address listed above. Your input will be gratefully received and acknowledged.

Much of the anthropological writing on indigenous mathematics is often obscurely hidden in various ethnographies and is often brief and scattered. Clearly I have not read all the ethnographies ever written and have therefore missed material on quantification that appears in many of the works of anthropologists. I invite readers to add these to these to this bibliography. It would be especially helpful if the page numbers where reference is made to quantification is noted. Also this initial bibliography is limited to items in English, and I encourage readers to contribute items in other languages - Robert Lawless.

Bibliography of Anthropology of Quantification

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A
Return to Top of this page

Andreski, Stanislav. 1972. Social Sciences as Sorcery. London:
Deutsch. (See especially Chapter 10.)

Ascher, Marcia. 1991. Ethnomathematics: A Multicultural View of
Mathematical Ideas. Pacific Grove, California: Brooks/Cole.

Ascher, Marcia, and Robert Ascher. 1981. Code of the Quipu: A Study
in Media, Mathematics, and Culture. Ann Arbor: University of Michigan
Press.

Ascher, Marcia, and Robert Ascher. 1997. Mathematics of the Incas:
Code of the Quipu. Mineola, New York: Dover.

B
Return to Top of this page

Barnes, R. H. 1982. Number and Number Use in Kedang, Indonesia. Man
17:1-17.

Belshaw, Cyril S. 1957. The Great Village: The Economic and Social
Welfare of Hanuabada, an Urban Community in Papua. London: Routledge and
Kegal Paul.

Belshaw, Cyril S. 1959. The Identification of Values in Anthropology.
American Journal of Sociology. 64:555-562.

Belshaw, Cyril S. 1964. Under the Ivi Tree: Society and Economic
Growth in Rural Fiji. Berkeley: University of California Press.

Belshaw, Cyril S. 1967. Theoretical Problems in Economic
Anthropology. In M. Freeman, ed. Social Organization: Essays presented to
Raymond Firth. Pp 25-42. London: Cass.

Belshaw, Cyril S. 1970. The Conditions of Social Performance: An
Exploratory Theory. New York: Schocken.

Belshaw, Cyril S. 1978. On Scale, Organisation and Performance.
Paideuma 23:11-23.

Belshaw, Cyril S. 1980. The Data Base in Economic Anthropology. In
Currents in Anthropology: Essays in Honor of Sol Tax. Robert Hinshaw, ed.
Pp. 69-84. New York: de Gruyter.

Belshaw, Cyril S. 1988. Some Limitations of Classifications in
Comparative Studies Exemplified by the Analysis of Parallel Economies,
with Implications for Development Theory. L'Uomo 6:295-318.

Biersack, Aletta. 1982. The Logic of Misplaced Concreteness: Paiela
Body Counting and the Nature of the Primitive Mind. American
Anthropologist 84:811-829.

Bowers, N., and P. Lepi. 1975. Kaugel Valley Systems of Reckoning.
Journal of the Polynesian Society 83:309-324.

Brainerd, Charles J. 1979. The Origins of the Number Concept. New
York: Praeger.

C
Return to Top of this page

Carrier, Achsah. 1981. Counting and Calculation on Ponam Island.
Journal of the Polynesian Society 9:465-479.

Closs, Michael P., ed. 1984. Native American Mathematics. Austin:
University of Texas Press.

Conant, Levi Leonard. 1931. The Number Concept: Its Origin and
Development. New York: Macmillan.

Crosby, Alfred W. 1997. The Measure of Reality: Quantification and
Western Society, 1250-1600. Cambridge, England: Cambridge University
Press.

Crump, Thomas. 1982. The Alternative Meanings of Number and Counting.
In Semantic Anthropology. David Parkin, ed. Pp. 279-292. London:
Academic.

Crump, Thomas. 1990. The Anthropology of Numbers. Cambridge, England:
Cambridge University Press.

Crump, Thomas. 1992. The Japanese Numbers Game: The Use and
Understanding of Number in Modern Japan. London: Routledge.

D
Return to Top of this page

D'Ambrosio, Ubiratan. 1990. The History of Mathematics and
Ethnomathematics: How a Native Culture Intervenes in the Process of
Learning Science. Impact of Science on Society (160):369-377.

E
Return to Top of this page

Eglash, Ron. 1997. Bamana Sand Divination: Recursion in
Ethnomathematics. American Anthropology 99:112-122.

F
Return to Top of this page

Ferreira, Mariana Kawall Leal. 1997. When 1+1?2: Making Mathematics
in Central Brazil. American Ethnologist 24:132-147.

Franklin, K., and J. Franklin. 1962. The Kewa Counting Systems.
Journal of the Polynesian Society 71:188-191.

Friberg, Joran. 1984. Numbers and Measures in the Earliest Written
Records. Scientific American 250(2):110-118.

G
Return to Top of this page

Gerdes, Paulus. 1994. Explorations in Ethnomathematics and
Ethnoscience in Mozambique. Maputo: Ethnomathematics Research Projects,
Instituto Superior PedagŪgico.

Golbeck, Amanda L. 1980. Quantification in Ethnology and Its
Appearance in Regional Culture Trait Distribution Studies (1888 to 1939).
Journal of the History of the Behavior Sciences 16:228-240.

H
Return to Top of this page

Harvey, H. R., and B. J. Williams. 1980. Aztec Arithmetic: Positional
Notation and Area Calculation. Science 4469:499-505.

Herskovits, Melville J. 1939. The Numerical System of the Kru of
Liberia. Man 39:154-155.

Hopkins, Harry. 1973. The Numbers Game: The Bland Totalitarianism.
London: Secker and Warburg.

I


J


K
Return to Top of this page

Kay, Paul. 1971. Explorations in Mathematical Anthropology.
Cambridge, Massachusetts: MIT Press.

Kelly, Max. 1977. Papua New Guinea and Piaget--An Eight-Year Study.
In Piagetian Psychology. Pierre Dasen, ed. Pp. 169-202. New York:
Halsted.

Kitcher, Philip. 1984. The Nature of Mathematical Knowledge. New
York: Oxford University Press.

Kline, Morris. 1980. Mathematics: The Loss of Certainty. New York:
Oxford University Press.

Kreul, Lee M. 1982. Magic Numbers: Psychological Aspects of Menu
Pricing. Cornell Hotel and Restaurant Administration Quarterly 23(2):70-
75.

L
Return to Top of this page

Lancy, David F. 1983. Cross-Cultural Studies in Cognition and
Mathematics. New York: Academic.

Lancy, David F., ed. 1978. The Indigenous Mathematics Project. Papua
New Guinea Journal of Education (Special Issue):14.

M
Return to Top of this page

Menniger, Karl W. 1969. Number Words and Number Symbols: A Cultural
History of Numbers. Cambridge, Massachusetts: MIT Press.

N


O


P
Return to Top of this page

Panoff, Michel. 1970. Father Arithmetic: Numeration and Counting in
New Britain. Ethnology 9:358-365.

Powell, Arthur B., and Marilyn Frankenstein, eds. 1997.
Ethnomathematics: Challenging Eurocentrism in Mathematics Education.
Albany: State University of New York Press.

Q


R
Return to Top of this page

Reed, H. J., and Jean Lave. 1979. Arithmetic as a Tool for
Investigating Relations Between Culture and Cognition. American
Ethnologist 6:568-582.

Restivo, Sal. 1981. Mathematics and the Limits of the Sociology of
Knowledge. Social Science Information 20:679-701.

S
Return to Top of this page

Saxe, Geoffrey B. 1981. Body Parts as Numerals: A Developmental
Analysis of Numeration among the Okspmin in Papua New Guinea. Child
Development 52:306-316.

Saxe, Geoffrey B. 1981. When Fourth Can Precede Second: A
Developmental Analysis of an Indigenous Numeration System Among Ponam
Islanders in Papua New Guinea. Journal of Cross-Cultural Psychology
12:37-50.

Sorokin, Pitirim A. 1956. Fads and Foibles in Modern Sociology and
Related Social Sciences. Chicago: Regnery. (See especially Chapters 7 and
8.)

Sternberg, Robert J., and Talia Ben Zeev. 1996. The Nature of
Mathematical Thinking. Mahwah, New Jersey: Erlbaum.

Strathern, Andrew J. 1977. Mathematics in the Moka. Papua New Guinea
Journal of Education 13(1):16-39.

Struik, D. 1942. On the Sociology of Mathematics. Science and Society
6:58-70.

T


U
Return to Top of this page

Urton, Gary. 1997. The Social Life of Numbers: A Quechua Ontology of
Numbers and Philosophy of Arithmetic. Austin: University of Texas Press.

V


W
Return to Top of this page

Wilder, Raymond L. 1975. Evolution of Mathematical Concepts: An
Elementary Study. New York: Wilson.

Wilder, Raymond L. 1981. Mathematics as a Cultural System. New York:
Pergamon Press.

White, Leslie A. 1956. The Locus of Mathematical Reality: An
Anthropological Footnote. In The World of Mathematics. Vol. 4. James
Neuman, ed. Pp. 2348-2364. New York: Simon and Schuster.

X


Y


Z
Return to Top of this page

Zaslavsky, Claudia. 1999. Africa Counts: Number and Pattern in
African Culture, 3rd ed. Chicago: Hill.

Return to Top of this page
Return to AnthroGlobe Bibliographies page
Return to AnthroGlobe e-journal
Page maintained by: Dr T.Matthew Ciolek (tmciolek@coombs.anu.edu.au)

Copyright (c) 1996-2003 by the Centre for Social Anthropology and Computing, University of Kent at Canterbury, UK. This Web page may be linked to any other Web pages. Contents may not be altered. The maintainer does not control or endorse the content of third party Web Sites.

The Centre for Social Anthropology and Computing at the University of Kent, Canterbury, UK on behalf of AnthroGlobe, holds and administers copyright to the bibliography as posted here. Those who submit materials of course retain copyright to their original submission but assign their materials for inclusion in this page and for any other use authorised as above.
Visitors may download one copy for personal academic use. Otherwise, it is forbidden to copy the contents of this bibliography in any format, print or otherwise, unless prior permission is obtained from the above-mentioned Centre. All rights other than those expressed above are reserved

URL: http://coombs.anu.edu.au/Biblio/biblio_numbers.html

[Asian Studies WWW VL] [Pacific Studies WWW VL]