Decolonizing Local Mathematical Knowledge and Practices: Decolonial Actions of Ethnomathematics

Keywords: Decolonization, Mathematical Knowing and Doings, Ethnomathematics, Decolonial Actions, Mathematics (Education)

Abstract

Many educational systems help educators and learners of distinct cultures face cultural imperialism, whose colonial aspect has made educational institutions an undemocratic environment for the teaching and learning process in mathematics for students from minority cultural groups and/or marginalized. To combat this cultural imperialism, researchers, teachers, and educators must become aware of the process of decolonization of (mathematics) education by recognizing that the mathematical knowledge imposed for centuries on conquered cultures is Eurocentric, universal, and acultural. This decolonizing aspect of ethnomathematics can be triggered through the development of decolonizing pedagogical actions in classrooms.

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References

AIKENHEAD, Glen S. Toward a First Nations cross-cultural science and technology curriculum. Science Education, v. 81, n, 2, p. 217-238, 1997.

AIKENHEAD, Glen S. Integrating Western and Aboriginal sciences: Cross-cultural science teaching. Research in Science Education, v. 31, n, 3, p. 337-355, 2001.

ANDRIGHETTO, Aline Discursos e poder: considerações a partir da lógica colonial. In: CONGRESSO INTERNACIONAL DE DIREITO E CONTEMPORANEIDADE, 4., Anais [...]. Santa Maria, RS: UFSM, 2017. p. 1-14

ANGUS, Charlie. Children of the broken treaty: Canada's lost promise and one girl's dream. Regina, SK: University of Regina Press, 2015.

APPLE, Michael. W. Official knowledge. New York, NY: Routledge, 1993.

ATKINSON, Donald R.; Morten, G.; Sue, Derald W. Counseling American minorities: a cross-cultural perspective. 4 ed. Brown & Benchmark/Wm. C. Brown Publisher, 1993.

BAKER, Carmen L. Historical racial theories: ongoing racialization in Saskatchewan. Master's thesis. Saskatoon, Canada: University of Saskatchewan, 2006.

BARTA, Jim, Abeyta, Ann, Gould, Drusilla, Galindo, Ed, Matt, Georgia, Seaman, Delverne; Voggessor, Garrit. The mathematical ecology of the Shoshoni and implications for elementary mathematics education and the young learner. Journal of American Indian Education, v. 40, p. 2, p. 1-27, 2001.

BATTISTE, Marie. Indigenous knowledge and pedagogy in First Nations education: a literature review with recommendations. Ottawa, ON: National Working Group on Education and Indian and Northern Affairs Canada, 2002.

BATTISTE, Marie. Cognitive imperialism and decolonizing research: Modes of transformation. In: REILLY, C., RUSSELL, V., CHEHAYL, L. K.; MCDERMOTT, M. M. (Eds.). Surveying borders, boundaries, and contested spaces in curriculum and pedagogy. Charlotte, NC: Information Age Publishing, p. 25-28, 2011.

BATTISTE, Marie. Decolonizing education: nourishing the learning spirit. Vancouver, BC: UBC Press, 2013.

Battiste, Marie; Bell, Lynne; Findlay, Len M. Decolonizing education in Canadian universities: an interdisciplinary indigenous research project. Canadian Journal of Native Education, v. 26, n. 2, p. 82-95, 2002.

BHABHA, Homi K. O local da cultura. 2 ed. Tradução: Myriam Ávila, Eliana Lourenço de Lima Reis e Gláucia Renate Gonçalves. Belo Horizonte, MG: Editora UFMG, 2013.

BISHOP, Alan J. Western mathematics: the secret weapon of cultural imperialism. Race & Class, p. 32, v. 2, p. 51–65, 1990.

BISHOP, Alan J. Cultural conflicts in mathematics education: developing a research agenda. For the Learning of Mathematics, v. 14, n. 2, p. 15-18, 1994.

BISHOP, Alan J. Becoming an ally: breaking the cycle of oppression in people. New York, NY: Zed Books, 2002.

BRANDES, Gabrielle M.; Kelly, Deirdre. M. Teaching for social justice: teachers inquire into their practice. Educational Insights, v. 8, n. 3, p. 1-7, 2004.

BRANDT, Alex; Chernoff, Egan J. The importance of ethnomathematics in the math class. The Ohio Journal of School Mathematics, v. 71, p. 31-36, 2014.

CARTER, Thomas P.; Segura, Roberto D. Mexican Americans in school: a decade of change. New York, NY: College Entrance Examination Board, 1979.

CASANOVA, Pablo G. Exploração, colonialismo e luta pela democracia na América Latina. Petrópolis, J: Vozes, 2002.

CORTES, Diego P. O.; ROSA, Milton.; OREY, Daniel C Consolidando a perspectiva sociocultural da modelagem matemática por meio da etnomodelagem. Revista Latinoamericana de Etnomatemática, v. 11, n. 1, p. 13-35, 2018.

D’AMBROSIO, Ubiratan. Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, p. 5, n. 1, p. 44-48, 1985.

D’AMBROSIO, Ubiratan. Etnomatemática: arte ou técnica de explicar e conhecer. São Paulo, SP: Editora Ática, 1990.

D’AMBROSIO, Ubiratan. What is ethnomathematics, and how can it help children in schools? Teaching Children Mathematics, v. 7, n, 6, p. 308-310, 2001.

D’AMBROSIO, Ubiratan. Ethnomathematics: link between traditions and modernity. Rotterdam, Netherlands: Sense Publishers, 2006.

D’AMBROSIO, Ubiratan. Ethnomathematics and the pursuit of peace and social justice. ETD - Educação Temática Digital, v. 19, n. 3, p. 653-666, 2017.

D’AMBROSIO, Ubiratan; D’AMBROSIO, Beatriz. S. The role of ethnomathematics in curricular leadership in mathematics education. Journal of Mathematics Education, v. 4, p. 19–25, 2013.

DEI, George J. S. Anti-racism education: theory and practice. Black Point, NS: Fernwood, 1996.

DOOLITTLE, Edward. Mathematics as medicine. In: Liljedahl, P. (Ed.). Proceedings of the 2006 Annual Meeting of the Canadian Mathematics Education Study Group. Burnaby, BC: Simon Fraser University, 2006. pp. 17-25.

EZEIFE, Anthony N. The schema-based mathematics study: enriching mathematics teaching and learning using a culture-sensitive curriculum. Canadian and International Education, v. 40, n. 1, p. 41-56, 2011.

Ferrari, Pier L. Abstraction in mathematics. Philosophical Transactions: Biological Sciences, v. 358, n, 1435, p. 1225-1230, 2003.

GÁNDARA, Patricia, Maxwell-Jolly, Julie; Rumberger, Russell. Resources need for English learners: getting down to policy recommendations. Davis, CA: Univesity of California Davis, 2008.

HENDERSON, James Y. Postcolonial ghost dancing: diagnosing European colonialism. In: BATTISTE, M. (Ed.). Reclaiming Indigenous voice and vision. Vancouver, BC: UBC Press, 2000. p. 57-76.

HOLLINS, Etta. R. Culture in school learning: revealing the deep meaning. Mahwah, NJ: Lawrence Erlbaum Associates, 1996.

KATZ, Judith. The sociopolitical nature of counselling. Counselling Psychologist, v. 13, p. 615-624, 1985.

KEDDIE, Nell. The myth of cultural deprivation. Westminster, England, Penguin Books, 1973.

KLINGNER, JANETTE K., ARTILES, ALFREDO J.; MENDEZ BARLETTA, LAURA. English language learners who struggle with reading: language acquisition or LD? Journal of Learning Disabilities, v. 39, p. 108–128, 2006.

KOVACH, Margaret. Indigenous methodologies: characteristics, conversations, and contexts. Toronto, ON: University of Toronto Press, 2010.

KRETOVICS, Joseph; Nussel, Edward J. Transforming urban education. Harvard Educational Review, v. 39, p. 1–123, 1994.

KUMASHIRO, Kevin K. Toward a theory of anti-oppressive education. Review of Educational Research, v. 70, n. 1, p. 25-53, 2000.

LADSON-BILLINGS, Gloria. Toward a theory of culturally relevant pedagogy. American Educational Research Journal, v. 32, p. 465-491, 1995.

LUNNEY BORDEN, Lisa. What's the word for...? Is there a word for...? How understanding Mi'kmaw language can help support Mi'kmaw learners in mathematics. Mathematics Education Research Journal, v. 25, n, 1, p. 5-22., 2013.

MACMILLAN, P., MCGREGOR, Catherine.; OLD, B. Ethnomathematics and Aboriginal student anxiety. Academic Exchange Quarterly, v. 9, n, 3, p. 126-131, 2005.

NCEE. A nation at risk: the imperative for educational reform. Washington, D.C.: U.S. Government Printing Office, 1983.

NIELSEN, Wendy S.; NICOL, Cinthia; OWUOR, Jeniffer. Culturally-responsive mathematics pedagogy through complexivist thinking. Complicity: An International Journal of Complexity and Education, v. 5, p. 1, p. 33-47, 2008.

NOLAN, Kathleen; WESTON, Harley J. Aboriginal perspectives and/in mathematics: a case study of three grade 6 teachers. In Education, v. 21, n. 1, p. 12-22, 2014.

PALLAS, Aaron; NATRIELLO, Gary; McDILL, Edward. The changing nature of the disadvantaged population: Current dimensions and future trends. Educational Researcher, v. 18, p. 16-22, 1989.

PASSOW, Harry A. Education in depressed areas. New York, NY: Teachers College Press, 1963.

PEWEWARDY, Cornell. Learning styles of American Indian/Alaska Native students: A review of the literature and implications for practice. Journal of American Indian Education, p. 41, n. 3, p. 22-56, 2002.

RAZACK, Sherene. Dying from improvement: Inquests and inquiries into Indigenous deaths in custody. Toronto, ON: University of Toronto Press, 2015.

RICHARDS, John; SCOTT, Megan. Aboriginal education: strengthening the foundations. Ottawa, ON: Canadian Policy Research Networks, 2009.

RIDLEY, Charles R. Overcoming unintentional racism in counseling and therapy: a practitioner's guide to intentional intervention. Thousand Oaks, CA: Sage, 1995.

ROSA, Milton. A mixed-methods study to understand the perceptions of high school leader about English language learners (ELL): the case of mathematics. Doctorate Dissertation. College of Education. Sacramento, CA: California State University, Sacramento, 2010.

ROSA, Milton; OREY, Daniel C. Vinho e queijo: etnomatemática e modelagem! BOLEMA, v. 16, n. 20, p. 1-16, 2003.

ROSA, Milton; OREY, Daniel C. Abordagens atuais do programa etnomatemática: delinenando-se um caminho para a ação pedagógica. BOLEMA, v. 19, n. 26, p. 19-48, 2006.

ROSA, Milton; OREY, Daniel C. Ethnomathematics: the cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, v. 4, n. 2, p. 32-54, 2011.

ROSA, Milton.; OREY, Daniel C. Fragmentos históricos do programa etnomatemática. In: NOBRE, S.; BERTATO, F.; SARAIVA, L. (Eds.). Anais/Actas do 6º Encontro Luso-Brasileiro de História da Matemática. Natal, RN: SBHMat, 2014. p. 535-558.

ROSA, Milton.; OREY, Daniel C. Evidence of creative insubordination in the research of pedagogical action of ethnomathematics program. In: D’AMBROSIO, B. S.; LOPES, C. E. (ds..). Creative insubordination in Brazilian mathematics education research. Raleigh, NC: Lulu Press, 2015. p. 131-146.

ROSA, Milton.; OREY, Daniel C. Etnomodelagem: a arte de traduzir práticas matemáticas locais. São Paulo, SP: Editora Livraria da Física, 2017.

ROSA, Milton; OREY, Daniel C. Etnomatemática: investigações em etnomodelagem. Revista de Investigação e Divulgação em Educação Matemática., v. 2, n. 1, p. 111-136, 2018.

ROSA, Milton.; OREY, Daniel C.; Mesquita, Ana Paula S. S. An ethnomodelling perspective for the development of a citizenship education. ZDM – Mathematics Education, v. 55, n. 3, p. 953-965, 2023.

SAMOVAR, Larry A.; PORTER, Richard E. Communication between cultures. 5th Ed. Beijing: Peking University Press, 2004.

SILVERMAN, Scott K. Cultural deficit perspective. In: Goldstein, S., Naglieri, J. A. (Eds.) Encyclopedia of Child Behavior and Development. Boston, MA: Springer, 2011. p. 446-447, 2011.

SKOVSMOSE, Ole. Educação matemática crítica: a questão da democracia. Coleção Perspectivas em Educação Matemática. Campinas, SP: Papirus, 2001.

SMITH, Linda T. Decolonizing methodologies: research and Indigenous peoples. London, England: Zed Books, 2001.

SOWERS, Jayme. Creating a community of learners: solving the puzzle of classroom management. Portland, OR: Northwest Regional Educational Laboratory, 2004.

ST. DENIS, Verna S. Aboriginal education and anti-racist education: building alliances across cultural and racial identity. Canadian Journal of Education, v. 30, n. 4, p. 1068-1092, 2007.

STINSON, David W. Mathematics as "gate-keeper"(?): three theoretical perspectives that aim toward empowering all children with a key to the gate. The Mathematics Educator, v. 14, n. 1, p. 8-18, 2004.

SUE, Derald W.; Sue, David. Counseling the culturally different: theory and practice. 2nd Ed. John Wiley & Sons, 1990.

TOMPKINS, Joanne. Learning to see what they can't: decolonizing perspectives on Indigenous education in the racial context of rural Nova Scotia. McGill Journal of Education, v. 37, n. 3, p. 405-422, 2002.

TORRES, Nelson M. Análise da colonialidade e da decolonialidade: algumas dimensões básicas. In: BERNARDINO-COSTA, J; MALDONADO-TORRES, N; GROSFOGUEL, R. (Eds.). Decolonialidade e pensamento afrodiaspórico. Belo Horizonte, MG: Autêntica Editora, 2018. p. 31-61.

TRUEBA, Enrique T.; BARTOLOMÉ, Lilia I. The education of Latino students: Is school reform enough? ERIC Clearinghouse on Urban Education, v. 123, p. 1-10, 1997.

WAGNER, David.; LUNNEY BORDEN, Lisa. Qualities of respectful positioning and their connections to quality mathematics. In: ATWEH, B., GRAVEN, M., W. SECADA, P. VALERO (Eds.). Mapping equity and quality in mathematics education. Dordrecht, Netherlands: Springer, 2010. p. 379-391.

WANE, Njoki. [Re]Claiming my Indigenous knowledge: Challenges, resistance, and opportunities. Decolonization: Indigeneity. Education & Society, v. 2, n. 1, p. 93-107, 2013.

WEDEGE, Tine. People's mathematics in working life: Why is it invisible? Adults Learning Mathematics, v. 5, n. 1, p. 89-97, 2010.

Published
2024-10-09
How to Cite
ROSA, M.; OREY, D. C. Decolonizing Local Mathematical Knowledge and Practices: Decolonial Actions of Ethnomathematics. Revemop, v. 6, p. e2024013, 9 Oct. 2024.
Section
Decolonial Proposals and Actions with Mathematics Education