Responsible Subversion and the Importance of Local (Emic) Knowledge in Ethnomathematics

Milton Rosa, Daniel Clark Orey

Abstract


A current dilemma in the conduction of investigations in mathematics education is related to its frequent acknowledgment of global (etic) mathematical knowledge. Thus, there is a gap in the use of local (emic) mathematical knowledge in the problem statements proposed for conducting research regarding this theme, which do not consider relevant the development of local procedures, techniques, and practices in its research theoretical basis. In this context, ethnomathematics is a form of push back from colonization without attempting to replace school/academic mathematics, yet it considers making the school/academic norms and rules more flexible to address local mathematical ideas, procedures, and practices. Hence, a sense of subversion triggered by ethnomathematics is responsible and often evokes an impression of disturbance that causes a conscious review of endemic rules and regulations to many curricular and educational contexts. This process enables educators and investigators to adopt responsible subversion in developing pedagogical actions that deal with content usually disconnected from the reality of the students, which enables them to deal with imposed school/academic norms and rules. Thus, this theoretical article shows that responsible subversions involve an intentional act of bending the rules to serve the greater good of the members of the school/academic communities.

Keywords


Ethnomathematical Approaches; Ethnomathematics Program; Local (Emic) Knowledge; Pedagogical Action; Responsible Subversion

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References


Ascher, M. (2002). Mathematics elsewhere: an exploration of ideas across cultures. Princeton, NJ: Princeton University Press.

Anderson, S. E. (1997). Worldmath curriculum: fighting Eurocentrism in mathematics. Powell, A. B., & Frankenstein. (Eds.), Ethnomathematics: challenging Eurocentrism in mathematics education (pp. 291-306). Albany, NY: SUNNY.

Anderson, D. (2007). Multicultural group work: a force for developing and healing. The Journal for Specialists in Group Work, 32(3), 224–244.

Cheng, Y. C. (2005). New paradigm for re-engineering education. New York, NY: Springer.

Cortes, D. P. O. (2017). Re-significando os conceitos de função: um estudo misto para entender as contribuições da abordagem dialógica da etnomodelagem [Re-signifying function concepts: a mixed methods study to understand the contributions of dialogic approach of ethnomathematics]. Dissertação de mestrado. Departamento de Educação Matemática. Ouro Preto, MG: UFOP.

D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1)1, 44-48.

D’Ambrosio. U. (2006). The program ethnomathematics and the challenges of globalization. Circumscribere: International Journal for the History of Science, 1, 74-82.

D’Ambrosio, B. S., & Lopes, C. E. (2015). Creative insubordination in Brazilian mathematics education research. Raleigh, NC: Lulu Press.

Dossey, J. A. (1992). The nature of mathematics: its role and its influence. In: D. A. Grouws (Ed.). Handbook of research on mathematics teaching and learning: a project of the national council of teachers of mathematics (pp. 39-48). New York, NY: Macmillan.

Duarte, C. G. (2004). Implicações curriculares a partir de um olhar sobre o mundo da construção civil [Curricular implications related to the of world civil construction]. In: Knijnik, G., Wanderer, F. & Oliveira, C. J. (Eds.). Etnomatemática: currículo e formação de professores [Ethnomathematics: curriculum and teacher education] (pp. 195-215). Santa Cruz do Sul, RS, Brazil: EDUNISC.

Fitzsimons, G. A. (2003). What counts as mathematics? Technologies of power in adult and vocational education. ZDM, 35(6), 323-324.

Haynes, E. A., & Licata, J. W. (1995). Creative insubordination of school principals and the legitimacy of the justifiable. Journal of Educational Administration, 33(4), 21-35.

Helfrich, H. (1999). Beyond the dilemma of cross-cultural psychology: Resolving the tension between etic and emic approaches. Culture and Psychology, 5, 131–153.

Hutchinson, S. A. (1990). Responsible subversion: a study of rule-bending among nurses. Scholarly Inquiry for Nursing Practice, 4(1), 1-3.

Khondker, H. H. (2004). Glocalization as globalization: evolution of a sociological concept. Bangladesh e-Journal of Sociology, 1(2), 1-9.

Kloos, P. (2000). The dialectics of globalization and localization. In: D. Kalb, M. van der Land, R. Staring, B. van Steenbergen & N. Wilterdink (Eds.), The ends of globalization: bringing society back in (pp. 281-298). Lanham, MD: Rowman & Littlefield.

Lloyd, J. C. (2011). For clues to HAI prevention, seek out positive deviance. Healthcare Purchasing News, 35(1), 46-47.

Mesquita, A. P. S. S. (2020). Uma ação pedagógica para o desenvolvimento de conteúdos matemáticos em uma comunidade periférica [A pedagogical action for the development of mathematical content in a peripheral community]. Dissertação de Mestrado em Educação Matemática. Departamento de Educação Matemática. Ouro Preto, MG: Universidade Federal de Ouro Preto – UFOP.

Orey, D. C. (2000). The ethnomathematics of the Sioux tipi and cone. In: Selin, H. (Ed.), Mathematics across culture: the history of non-western mathematics (pp. 239-252). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Orey, D. C., & Rosa, M. (2014). How we came to use a combination of emic, etic, and dialogical approaches in the field research ethnomodeling. In: Manuel Murillo Tsijli. (Org.), Memória IX Festival Internacional de Matemática (pp. 167-179). Quepos, Costa Rica: CIENTEC.

Orey, D. C., & Rosa, M. (2021). Glocalization of cultural practices through ethnomodelling. In: Leung, F. K. S., Stillman, G. A., Kaiser, G., Wong, K. L. (Eds.), Mathematical modelling education in east and west (pp. 55-65). International Perspectives on the Teaching and Learning of Mathematical Modelling. Cham, Switzerland: Springer.

Pinheiro, R. C. (2017). Contribuições do programa etnomatemática para o desenvolvimento da educação financeira de alunos Surdos que se comunicam em Libras [Contributions of the ethnomathematics program to the development of financial education of Deaf students who communicate in the Brazilian sign language]. Dissertação de Mestrado. Departamento de Educação Matemática. Ouro Preto, MG: UFOP.

Rosa, M. (2010). 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 - CSUS.

Rosa, M., & Orey, D. C. (2012). O campo de pesquisa em etnomodelagem: as abordagens êmica, ética e dialética [The research field in ethnomodeling: emic, etic, and dialectical approaches]. Educação e Pesquisa, 38(4), 865-879.

Rosa, M., & Orey, D. C. (2013). Ethnomodeling as a research theoretical framework on ethnomathematics and mathematical modeling. Journal of Urban Mathematics Education, 6(2), 62-80.

Rosa, M., & Orey, D. C. (2015). Evidence of creative insubordination in the research of pedagogical action of ethnomathematics program. In D'Ambrosio, B. S.; & Lopes, C. E. (Orgs.), Creative insubordination in Brazilian mathematics education research (pp. 131-146). Raleigh, NC: Lulu Press.

Rosa, M., & Orey, D. C. (2016a). Ethnomodelling: exploring glocalization in the contexts of local (emic) and global (etic) knowledges. International Journal for Research in Mathematics Education, 6(1), 196-218.

Rosa, M., Orey, D. C. (2016b) Humanizing mathematics through ethnomodelling. Journal of Humanistic Mathematics, 6(3), 3-22.

Rosa, M., Orey, D. C. (2018). Reflecting on glocalization in the contexts of local and global approaches through ethnomodelling. Educação Matemática Pesquisa, 20(2), 171-201.

Rosa, M., & Orey, D. C. (2019). Ethnomathematics and the responsible subversion of its pedagogical action: an investigation based on three anthropological approaches. Revista Brasileira de Estudos Pedagógicos, 100(254), 191-209.

Rosa, M., & Orey, D. C. (2021). Positive deviance in the pedagogical action of ethnomodelling. In: Leung, F. K. S., Stillman, G. A., Kaiser, G., Wong, K. L. (Eds.), Mathematical modelling education in east and west (pp. 67-77). International Perspectives on the Teaching and Learning of Mathematical Modelling. Cham, Switzerland: Springer.

Ruggiero, E. D. D. (2020). Etnomodelagem e café: propondo uma ação pedagógica para a sala de aula [Ethnomathematics and coffee: proposing a pedagogical action for classrooms]. Dissertação de Mestrado em Educação Matemática. Departamento de Educação Matemática. Ouro Preto, MG: Universidade Federal de Ouro Preto - UFOP.

Sue, D. W., & Sue, D. (2003). Counseling the culturally diverse: theory and practice. New York, NY: John Wiley & Sons.


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Indonesian Journal of Ethnomathematics

Indonesian Mathematics Educators Society
Jl. Terusan Jend. Sudirman, Kec. Cimahi Tengah, Kota Cimahi, Jawa Barat 40521
E-mail: ije@i-mes.org


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