Indigenous Mathematics: From Mainstream Misconceptions to Educational Enrichment

Ascher, M. (2017). Ethnomathematics: A multicultural view of mathematical ideas. Routledge.

Ascher, M., & Ascher, R. (1969). Code of ancient Peruvian knotted cords (Quipus). Nature, 222(5193), 529-533. https://doi.org/10.1038/222529a0

Article  Google Scholar 

Ascher, M., & Ascher, R. (1986). Ethnomathematics. History of Science, 24(2), 125-144. https://doi.org/10.1177/007327538602400202

Article  Google Scholar 

Ascher, M., & Ascher, R. (2013). Mathematics of the Incas: Code of the Quipu. Dover Publications.

Ball, R. (2015). STEM the gap: Science belongs to us mob too. AQ-Australian Quarterly, 86(1), 13-19.

Google Scholar 

Bardsley, D. K., Prowse, T. A. A., & Siegfriedt, C. (2019). Seeking knowledge of traditional Indigenous burning practices to inform regional bushfire management. Local Environment, 24(8), 727-745. https://doi.org/10.1080/13549839.2019.1640667

Article  Google Scholar 

Barton, B. (1999). Ethnomathematics and philosophy. ZDM, 31(2), 54-58. https://doi.org/10.1007/s11858-999-0009-7

Article  Google Scholar 

Barton, B. (2007). The language of mathematics: Telling mathematical tales (Vol. 44). Springer Science & Business Media.

Batz, J. M. (2021). “Nik” - The zero in Vigesimal Maya mathematics. Bulletin of the American Astronomical Society, 53(1), 1–5. https://baas.aas.org/pub/2021n1i336p03/release/2#:~:text=Archaeological%20research%20reveals%20the%20antiquity,a%20date%20of%2031%20BCE.

Bishop, A. J. (1988). Mathematics education in its cultural context. Educational Studies in Mathematics, 19(2), 179-191.

Article  Google Scholar 

Bishop, A. J. (1990). Western mathematics: the secret weapon of cultural imperialism. Race & Class, 32(2), 51-65. https://doi.org/10.1177/030639689003200204

Article  Google Scholar 

Boyd, J. P. (1969). The algebra of group kinship. Journal of Mathematical Psychology, 6(1), 139–167. https://doi.org/10.1016/0022-2496(69)90032-7

Article  Google Scholar 

Brooks, D. (2021). This Is how Wokeness ends. The New York Times. https://www.nytimes.com/2021/05/13/opinion/this-is-how-wokeness-ends.html

Bureau of Meteorology. (2022). Language, culture and envrionmental knowledge. http://www.bom.gov.au/iwk/culture.shtml

Cargal, J. M. (1978). An analysis of the marriage structure of the Murngin tribe of Australia. Behavioral Science, 23(3), 157-168.

Article  Google Scholar 

Chevallard, Y. (1990). On mathematics education and culture: Critical afterthoughts. Educational Studies in Mathematics, 21(1), 3-27. https://doi.org/10.1007/BF00311013

Article  Google Scholar 

Clarke, P. A. (2009). Australian Aboriginal Ethnometeorology and Seasonal Calendars. History and Anthropology, 20(2), 79-106. https://doi.org/10.1080/02757200902867677

Article  Google Scholar 

Cohen, G. L. (2006). Counting Australia in-people, organisations and institutions of Australian mathematics. Halstead Press.

Cooke, M. (1991). Seeing Yolŋu, Seeing mathematics. Batchelor, N.T.: Batchelor College. ISBN 0646093398

D'Ambrósio, U. (2006a). Ethnomathematics: Link between traditions and modernity. Brill.

D'Ambrósio, U. (2006b). Why ethnomathematics? In Ethnomathematics (pp. 5–15). Brill.

de Almeida, M. W. (2019). Is there mathematics in the forest? HAU: Journal of Ethnographic Theory, 9(1), 86-98.

Article  Google Scholar 

Deakin, M. (2010). Aboriginal and Islander Mathematics: Comments on one aspect of the proposed National Curriculum. Gazette of the Australian Mathematical Society, 37(4), 233–237. https://austms.org.au/wp-content/uploads/Gazette/2010/Sep10/37(4)Web.pdf

Denham, W. W. (2013). Beyond fictions of closure in Australian Aboriginal kinship. Mathematical Anthropology and Culture Theory, 5(1), 1-90.

Google Scholar 

Dwyer, P., & Minnegal, M. (2016). Counting systems of the Strickland-Bosavi languages, Papua New Guinea. Language and linguistics in Melanesia, 34(1), 1-36.

Google Scholar 

Eglash, R. (1998). Fractals in African settlement architecture. Complexity, 4(2), 21-29.

Article  Google Scholar 

Fernández-Oliveras, A., Espigares-Gámez, M. J., & Oliveras, M. L. (2021). Implementation of a Playful Microproject Based on Traditional Games for Working on Mathematical and Scientific Content. Education Sciences, 11(10), 624. https://doi.org/10.3390/educsci11100624

Article  Google Scholar 

Field, J. M. (2021). Gamilaraay kinship revisited: incidence of recessive disease is dynamically traded-off against benefits of cooperative behaviours. arXiv preprint, arXiv:1306.0971. https://arxiv.org/abs/2104.14779

FForster, P. A. (2021). Review of Aboriginal astronomy and navigation: A Western Australian focus. Publications of the Astronomical Society of Australia, 38, Article e066. https://doi.org/10.1017/pasa.2021.51

Gavarrete, M. E. (2015). The challenges of mathematics education for Indigenous teacher training. Intercultural Education, 26(4), 326-337.

Article  Google Scholar 

Gethin, R. (1998). The foundations of Buddhism. OUP Oxford.

Goetzfridt, N. J. (2007). Pacific ethnomathematics: A bibliographic study. University of Hawaii Press.

Goetzfridt, N. J. (2012). Pacific ethnomathematics: The richness of environment and practice. Journal of Mathematics and Culture, International Conference on Ethnomathematics 4 Focus Issue, ISSN-1558-5336,

Green, D., Billy, J., & Tapim, A. (2010). Indigenous Australians’ knowledge of weather and climate. Climatic Change, 100(2), 337-354.

Article  Google Scholar 

Hamacher, D. W., & Norris, R. P. (2011). ‘Bridging the gap’ through Australian cultural astronomy. Proceedings of the International Astronomical Union, 7(S278), 282-290. https://doi.org/10.1017/S1743921311012713

Article  Google Scholar 

Hamacher, D. W., Barsa, J., Passi, S., & Tapim, A. (2019). Indigenous use of stellar scintillation to predict weather and seasonal change. Proceedings of the Royal Society of Victoria, 131(1), 24–33. https://doi.org/10.1071/RS19003

Article  Google Scholar 

Hamacher, D. W., Fuller, R. S., Leaman, T. M., & Bosun, D. (2020). Solstice and Solar Position observations in Australian Aboriginal and Torres Strait Islander traditions. arXiv preprint arXiv:2001.08884.

Hansson, S. O. (2018). Mathematics and technology before the modern era. In Technology and Mathematics (pp. 13–31). Springer.

Harris, J. (1987). Australian aboriginal and Islander mathematics. Australian Aboriginal Studies (2), 29–37.

Ioris, A. A. R., Benites, T., & Goettert, J. D. (2019). Challenges and contribution of indigenous geography: Learning with and for the Kaiowa-Guarani of South America. Geoforum, 102, 137-141. https://doi.org/10.1016/j.geoforum.2019.03.023

Article  Google Scholar 

Joseph, G. G. (2009). A passage to infinity: Medieval Indian mathematics from Kerala and its impact. SAGE Publications India.

Keen, I. (1988). Twenty-five years of Aboriginal kinship studies. Social anthropology and Australian Aboriginal studies: A contemporary overview, 77–123.

Kemeny, J. G. (1959). Mathematics without Numbers. Daedalus, 88(4), 577–591. http://www.jstor.org/stable/20026529

Larkin, D., King, D., & Kidman, G. (2012). Connecting Indigenous stories with geology: inquiry-based learning in a middle years classroom. Teaching Science, 58(2), 39-44.

Google Scholar 

Laush, H. (1980). Who were the first mathematicians in the southern hemisphere? Function, 4, 22-27.

Google Scholar 

Law, K. M., & Kesti, M. (2014). Yin Yang and organizational performance: Five elements for improvement and success. Springer.

Leal Filho, W., Barbir, J., Gwenzi, J., Ayal, D., Simpson, N. P., Adeleke, L., Tilahun, B., Chirisa, I., Gbedemah, S. F., & Nzengya, D. M. (2022). The role of indigenous knowledge in climate change adaptation in Africa. Environmental Science & Policy, 136, 250-260.

Article  Google Scholar 

Li, D., & Liao, K. (1998). An analysis of traditional Chinese architectural and garden design from the viewpoint of chaology and fractal geometry. Geomatics and Information Science of Wuhan University, 23(3), 189–193, 203.

Lloyd, B. C., Suchet-Pearson, S., Wright, S., Burarrwanga, L., Ganambarr, R., Ganambarr-Stubbs, M., Ganambarr, B., & Maymuru, D. (2016). Morrku Mangawu—knowledge on the land: Mobilising Yolŋu mathematics from Bawaka, North East Arnhem Land, to reveal the situatedness of all knowledges. Humanities, 5(3). https://doi.org/10.3390/h5030061

Mathews, R. H. (1900). Marriage and descent among the Australian Aborigines. Journal and Proceedings of the Royal Society of New South Wales, 34. https://nla.gov.au/nla.obj-310912956/view?partId=nla.obj-310913193#page/n1/mode/1up

Matthews, C. (2020, Apr 27,2020). Indigneous perspectives in maths: Understanding Gurrutu. Teacher Magazine. https://www.teachermagazine.com/au_en/articles/indigenous-perspectives-in-maths-understanding-gurruu

Meaney, T., Trinick, T., & Fairhall, U. (2013). One size does not fit all: Achieving equity in Māori mathematics classrooms. Journal for Research in Mathematics Education, 44(1), 235-263.

Article  Google Scholar 

Millroy, W. L. (1991). An ethnographic study of the mathematical ideas of a group of carpenters. Learning and Individual Differences, 3(1), 1–25. https://doi.org/10.1016/1041-6080(91)90002-I

Article  Google Scholar 

Moggridge, B. J., Thompson, R. M., & Radoll, P. (2022). Indigenous research methodologies in water management: learning from Australia and New Zealand for application on Kamilaroi country. Wetlands Ecology and Management. https://doi.org/10.1007/s11273-022-09866-4

Article  Google Scholar 

Neale, M., & Kelly, L. (2020). Songlines: The power and promise. Thames & Hudson Australia.

Netz, R. (2005). The limits of text in greek mathematics. In K. Chemla (Ed.), History of Science, History of Text (pp. 161–176). Springer, Netherlands. https://doi.org/10.1007/1-4020-2321-9_8

Noon, K., & Napoli, K. D. (2022). Astronomy sky country. Thames & Hudson Australia Pty LtD. https://thamesandhudson.com.au/product/astronomy-sky-country/

Norris, R. P. (2016). Dawes review 5: Australian aboriginal astronomy and navigation. Publications of the Astronomical Society of Australia, 33, e039, Article e039. https://doi.org/10.1017/pasa.2016.25

Norris, R. P., & Hamacher, D. W. (2009). The astronomy of aboriginal Australia. Proceedings of the International Astronomical Union, 5(S260), 39–47. https://doi.org/10.1017/S1743921311002122

Article  Google Scholar 

Norris, R. p., & Harney, B. Y. (2014). Songlines and navigation in Wardaman and other Australian Aboriginal cultures. Journal of Astronomical History and Heritage, 17(2), 141–148. http://www.aboriginalastronomy.com.au/wp-content/uploads/2020/02/Norris-2014-Songlines-Navigation.pdf

Owens, K. (2001). The work of Glendon Lean on the counting systems of Papua New Guinea and Oceania. Mathematics Education Research Journal, 13(1), 47-71. https://doi.org/10.1007/BF03217098

Article  Google Scholar 

Owens, K. (2020). Transforming the established perceptions of visuospatial reasoning: integrating an ecocultural perspective. Mathematics Education Research Journal, 32(2), 257-283. https://doi.org/10.1007/s13394-020-00332-z

Article  Google Scholar 

Owens, K., & Muke, C. (2020). Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures. Revemop, 2.

Owens, K., & Lean, G. (2018a). Body-part tally systems. In K. Owens, G. Lean, P. Paraide, & C. Muke (Eds.), History of Number: Evidence from Papua New Guinea and Oceania (pp. 61-72). Springer International Publishing.https://doi.org/10.1007/978-3-319-45483-2_4

Owens, K., & Lean, G. (2018b). Rewriting the history of number from Papua New Guinea and Oceania evidence. In K. Owens, G. Lean, P. Paraide, & C. Muke (Eds.), History of Number: Evidence from Papua New Guinea and Oceania (pp. 271-290). Springer International Publishing.https://doi.org/10.1007/978-3-319-45483-2_13

Pais, A. (2011). Criticisms and contradictions of ethnomathematics. Educational Studies in Mathematics, 76(2), 209-230. https://doi.org/10.1007/s10649-010-9289-7

Article  Google Scholar 

Pais, A. (2013). Ethnomathematics and the limits of culture. For the Learning of Mathematics, 33(3), 2-6.

Google Scholar 

Paraide, P., Owens, K., Muke, C., Clarkson, P., & Owens, C. (2023). Mathematics education in a neocolonial country: The case of Papua New Guinea. Springer.

Parra, A., & Valero, P. (2021). Propio as a decolonising tool for mathematics education. In Applying critical mathematics education (pp. 71–99). Brill.

Peat, D. (2002). Blackfoot physics: A journey into the native American universe. Panes Press.

Polster, B., & Ross, M. (2014, 1 September). The wonderful function of Michael Deakin. The Sydney Morning Herald. https://www.smh.com.au/education/the-wonderful-function-of-michael-deakin-20140825-3eabx.html

Purdie, N., Milgate, G., & Bell, H. R. (2011). Two way teaching and learning: Toward culturally reflective and relevant education. A. Press. https://research.acer.edu.au/indigenous_education/38

Radcliffe-Brown, A. R. (1930). The social organization of Australian tribes. Part II. Oceania, 1(2), 206-246.

留言 (0)

沒有登入
gif