Philosophical concepts of creative insubordination in ethnomodelling research
DOI:
https://doi.org/10.23925/1983-3156.2022v24i2p353-383Keywords:
Creative Insubordination, Ethnomodelling, Global Approach, Glocal Approach, Local ApproachAbstract
The application of modelling methods makes sense to researchers and educators when these professionals examine the mathematical patterns developed by members of distinct cultures. Currently, an important issue in mathematics education is its tendency towards valuing a local orientation in its research paradigm. Thus, a search for innovative methodologies such as ethnomodeling is necessary to record the historical forms of mathematical ideas, procedures, and practices developed in diverse cultural contexts. Yet, ethnomodeling is not an attempt to replace globalized school/academic mathematics, however, it is necessary to recognize the existence of local mathematical knowledge in the school curriculum. This context enabled the emergence of creative insubordination of ethnomodeling as it evoked a disturbance that caused a revision of the rules and regulations in the mathematical modelling process. This process triggered a debate about the nature of mathematics in relation to culture by proposing a dialogue between local and global approaches in dialogical ways. Thus, the main objective of this article is to discuss the philosophy of ethnomodeling as a creative insubordination of mathematics education and also as a process of glocalization.
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Alvarez, M. A. A. (2005). Competencia intercultural, concepto, efectos e implicaciones en el ejercicio de la ciudadanía. Revista Iberoamericana de Educación, 35(5), 1-10.
Bennett, J., & Bennett, M. (2004). Developing intercultural sensitivity: an integrative approach to global and domestic diversity. In: Landis, D., Bennett, J., & Bennett, M. (Eds.). Handbook of intercultural training (pp. 147-165). Thousand Oaks, CA: Sage.
Berry, J. W. (1969). On cross-cultural comparability. International Journal of Psychology, 4(2), 119-128.
Bishop, A. J. (1988). Mathematical enculturation: a cultural perspective on mathematics education. Dordrecht, The Netherlands: D. Reidel Publishing Company.
Bishop, A. J. (1990). Western mathematics: the secret weapon of cultural imperialism. Race & Class, 32(2), 51-65.
Bourdieu, P., & Wacquant, L. J. D. (1992). An invitation to reflexive sociology. Chicago, IL: University of Chicago Press.
Canclini, N. G. (2011). Culturas híbridas: estratégias para entrar e sair da modernidade. São Paulo, SP: UNESP.
Cortes, D. P. O. (2017). Re-significando os conceitos de função: um estudo misto para entender as contribuições da abordagem dialógica da etnomodelagem. Dissertação de Mestrado Profissional em Educação Matemática. Departamento de Educação Matemática. Ouro Preto, MG: Universidade Federal de Ouro Preto.
Cortes, D. P. O., & Orey, D. C. (2020). Connecting ethnomathematics and modelling: A mixed methods study to understand the dialogic approach of ethnomodelling. REVEMOP, 2(1), 1-25.
Crowson, R. L., & Morris, V. C. (1982). The principal’s role in organizational goal-attainment: discretionary management at the school site level. Proceedings of the Annual Meeting of the American Educational Research Association (pp. 19-23). New York, NY: AERA, 1982.
D’Ambrosio, U. (1990). Etnomatemática: arte ou técnica de explicar e conhecer. São Paulo, SP: Editora Ática.
D’Ambrosio, U. (2006). The program ethnomathematics and the challenges of globalization. Circumscribere, 1, 74-82.
D’Ambrosio, U. (2015). Mathematical modelling as a strategy for building-up systems of knowledge in different cultural environments. In: Stillman, G. A., Blum, W., & Biembengut, M. S. (Eds.). Mathematical modelling in education research and practice: cultural, social, and cognitive influences (pp. 35-44). New York, NY: Springer, 2015.
D’Ambrosio, U., & D’Ambrosio, B. S. (2013). The role of ethnomathematics in curricular leadership in mathematics education. Journal of Mathematics Education at Teachers College, 4(1), 19-25.
Deardorff, D. K. (2006). The identification and assessment of intercultural competence as a student outcome of internationalization at institutions of higher education in the United States. Journal of Studies in International Education, 10(3), 241-266.
Deardorff, D. K. (2009). The Sage handbook of intercultural competence. Thousand Oaks, CA: Sage.
Eglash, R., Bennett, A., O’Donnell, C., Jennings, S., & Cintorino, M. (2006). Culturally situated designed tools: ethnocomputing from field site to classroom. American Anthropologist, 108(2), 347-362.
Erbas, A.K., Kertil, M., Çetinkaya, B., Çakiroglu, E., Alacaci, C. &Bas, S. (2014). Mathematical modeling in mathematics education: basic concepts and approaches. Educational Sciences: Theory & Practice, 14(4), 1621-1627.
Ernest, P. (2016). An overview of the philosophy of mathematics education. In: Ernest, P., Skovsmose, O., van Bendegem, J. P., Bicudo, M., Roger, M., Kvasz, L., & Moeller, R. (Eds.). The philosophy of mathematics education (pp. 3-8). ICME-13 Topical Surveys. Cham, Switzerland: SpringerOpen.
Ernest, P., Skovsmose, O., van Bendegem, J. P., Bicudo, M., Roger, M., Kvasz, L., & Moeller, R. (2016). The philosophy of mathematics education. ICME-13 Topical Surveys. Cham, Switzerland: SpringerOpen.
Giulianotti, R.; Robertson, (2007). R. Recovering the social: globalization, football and transnationalism. Global Networks, 7(2), p. 144–186.
Gudykunst, W. B. (1997). Cultural variability in communication. Communication Research, 24(4), 327-348.
Harris, M. (1980). The epistemology of cultural materialism. In: Harris, M. Cultural materialism: the struggle for a science of culture (pp. 29-45). New York, NY: Random House.
Headland, T. N.; Pike, K. L., & Marvin Harris (1990). Emics and etics: the insider/outsider debate. Newbury Park, CA: Sage Publications.
Hofstede, G. (2001). Culture’s consequence: comparing values, behaviors, institutions and organizations across nations. Thousand Oaks, CA: Sage.
Hutchinson S. A. (1990). Responsible subversion: a study of rule-bending among nurses. Scholarly Inquiry for Nursing Practice, 4(1), 3-17.
Iser, W. On translatability. Surfaces, 4, 5-13, 1994.
Khondker, H. H. (2004). Glocalization as globalization: evolution of a sociological concept. Bangladesh e-Journal of Sociology, 1(2), 12–20.
Kubokawa, A., & Ottaway, A. (2009). Positive psychology and cultural sensitivity: a review of the literature. Graduate Journal of Counseling Psychology, 1(2), 130-138.
Laenui, P. (2000). Processes of decolonization. In: Battiste, M. (Ed.). Reclaiming indigenous voice and vision (pp. 150-160) Vancouver, Canada: UBC Press.
Leung, F. K. S., Stillman, G. A., Kaiser, G., & Wong, K. L. (2021). Mathematical modelling education in the cultural contexts of west and east. In: Leung, F. K. S., Stillman, G. A., Kaiser, G., & Wong, K. L. (Eds.), Mathematical modelling education in east and west (pp. 3-16). Cham, Switzerland: Springer.
Lyman, L. L., Ashby, D. E., & Tripses, J. S. (2005). Leaders who dare: pushing the boundaries. Lanham, MD: Rowman & Littlefield Education,.
Marzano, R. J., Waters, T., & McNulty, B. A. (2005). School leadership that works: from research to results. Alexandria, VA: Association for Supervision and Curriculum Development.
Maynard, M. L. (2005). From global to local: how Gillette’s sensor Excel accommodates to Japan. Keio Communication Review, 25(3), 57-75.
Mendis, P. (2007). Glocalization: the human side of globalization as if the Washington consensus mattered. Morrisville, NC: Lulu Press.
Pelto, P. J., & Pelto, G. H. (1978). Anthropological research: the structure of inquiry. New York, NY: Cambridge University Press, 1978.
Pike, K. L. (1967). Language in relation to a unified theory of the structure of human behaviour. The Hague, The Netherlands: Mouton.
Pradhan, J. B. (2017). Mathematical ideas in Chundara culture: unfolding a Nepalese teaching and learning system. In: Rosa, M., Shirley, L., Gavarrete, M. E., & Alangui, W. V. (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 125-152). ICME-13 Monographs. Cham, Switzerland: Springer.
Robertson, R. (1995). Glocalization: time-space and homogeneity-heterogeneity. In: Featherstone, M. (Ed.). Global modernities (pp. 25-44). London, England: Sage.
Robins K. (1991). Tradition and translation: national culture in its global context. In: Corner J.. & Harvey S. Enterprise and heritage: crosscurrents of national culture (pp. 21-45). Londres, England: Routledge.
Rosa, M. (2010). A mixed method study to understand the perceptions of high school leaders about English language learners (ELL): the case of mathematics. College of Education. Doctorate Dissertation in Education. Sacramento, CA: California State University
Rosa, M., & Orey, D. C (2010). Ethnomodelling: an ethnomathematical holistic tool. Academic Exchange Quarterly, 14(3), 191-195.
Rosa, M., & Orey, D. C. (2012). O campo de pesquisa em etnomodelagem: as abordagens êmica, ética e dialética. Educação e Pesquisa, 38(4), 865-879.
Rosa, M., & Orey, D. C. (2013). Ethnomodelling as a research lens on ethnomathematics and modelling. In Stillman, G. A., & Brown, J. (Orgs.). Teaching mathematical modelling: connecting to research and practice (pp. 117-127). Dordrecht, The Netherlands: Springer.
Rosa, M., & Orey, D. C. (2015a). 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. (2015b). Three approaches in the research field of ethnomodelling: emic (local), etic (global), and dialogic (glocal). Revista Latinoamericana de Etnomatemática, 8(2), 364-380.
Rosa, M., & Orey, D. C. (2017). Etnomodelagem: a arte de traduzir práticas matemáticas locais. São Paulo, SP: Editora Livraria da Física.
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 – RBEP, 100(254), 191-209.
Séguinot, C. (1995). Translation and advertising: going global. In: Shäffner, C., & Holmes, K. (Eds.). Cultural functions of translation (pp. 55-69) Philadelphia, PA: Multilingual Matters.
Skovsmose, O. (2016). Critical mathematics education: concerns, notions, and future. In: Ernest, P., Skovsmose, O., van Bendegem, J. P., Bicudo, M., Roger, M., Kvasz, L., & Moeller, R. (Eds.). The philosophy of mathematics education (pp. 9-13). ICME-13 Topical Surveys. Cham, Switzerland: SpringerOpen.
Sue, D. W.; Sue, D. (2003). Counseling the culturally diverse: theory and practice. New York, NY: John Wiley & Sons.
Walker L. O. (2005). Avant KC strategies for theory construction in nursing. Boston, MA: Boston Prentice Hall.
Wexler, J. (2004). Alterity: theories of media. Chicago, IL: University of Chicago.
Unesco (2009). Organização das Nações Unidas para a educação, a ciência e a cultura. Investir na diversidade cultural e no diálogo intercultural: direito humano à educação. Brasília, DF: Unesco.
Yifeng, S. (2009). Cultural translation in the context of glocalization. Ariel, 40(2-3), 89–110.
Zeitlin, M., Ghassemi, H.. & Mansur, M. (1990). Positive deviance in child nutrition: with emphasis on psychological and behavioural aspects and implications for development. Tokyo, Japan: The United Nations University.
Zhu, Y., & Bargiela-Chiappini, F. (2013). Balancing emic and etic: situated learning and ethnography of communication in cross-cultural management education. Academic of Managing Learning and Education, 12(3), 380-395.
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