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References
Alrø, H. & Kristiansen, M. (1999). “Tror i ikke det ville være en ide?” — perspektiver på vejledningssamtalen. In P. Munch (Ed.). Vejledning og praktik i lœreruddannelsen (pp. 77–94). Frederikshavn, Denmark: Dafolo Forlag.
Alrø, H. & Skovsmose, O. (2002). Dialogue and learning in mathematics education: Intention, reflection, critique. Dordrecht, The Netherlands: Kluwer.
Atweh, B., Kemmis, S. & Weeks, P. (Eds.) (1998). Action research in practice: Partnership for social justice in education. London: Routledge.
Blomhøj, M. (1998). Edb i gymnasiets matematikundervisning — betydning for undervisning og læring. Copenhagen/Roskilde/Aalborg, Denmark: Centre for Research in Learning Mathematics.
Bopape, M. (2002). Mathematics school based in-service training (SBINSET): A study of factors contributing towards success or failure of SBINSET in the South African school context. Doctoral Dissertation. Aalborg: Aalborg University.
Borba, M.C.(1990). Ethnomathematics in education, For the Learning of Mathematics, 10(1), 39–43. Reprinted in A.B. Powell, & M. Frankenstein (1997). Ethnomathematics: Challenging eurocentrism in mathematics education (pp. 261–272). Albany, USA: SUNY Press.
Borba, M.C. (1993). Students’ understanding of transformations of functions using multi-representational software. Doctoral Dissertation. Ithaca (USA): Cornell University.
Borba, M. C. & Bovo, A. (2002). Modelagem em sala de aula de matemática: interdisciplinaridade e pesquisa em biologia. Revista de Educação Matemática, 8 (6 and) 7, 27–33.
Borba, M.C. (1997). Graphic calculators, functions and reorganization of the classroom. In M.C. Borba, T. Souza, B. Hudson & J. Fey (Eds.), The role of technology in the mathematics classroom (pp. 53–60). Rio Claro, Brazil: Cruzeiro.
Borba, M. (2000). GPIMEM e UNESP: Pesquisa, extencão e ensino em informática e educação matemática. In M. Penteado and M.C. Borba (eds.), A informática em ação: Formação de professores, pesquisa e extensão. São Paulo: Ohlo ďÁgua.
Borba, M.C., Meneghetti, R. & Hermini, H. (1997). Modelagem, calculadora gráfica e interdiciplinaridade na sala de aula de um curso de ciências biológicas. Revista de Educacão Matemática, 5(3), 63–69.
Borba, M.C. & Skovsmose, O. (1997). The ideology of certainty in mathematics education. For the Learning of Mathematics, 17(3), 39–43.
Bordin, A.S., Milani M., Grunkraut, M. & Ricotta, A.P. (1995). Fracionando. Sao Paulo: Byte and Brothers.
Brown, A. & Dowling, P. (1998). Doing research/reading research: A Mode of interrogation for education. London: Falmer.
Clarke, B., Clarke, D. & Sullivan, P. (1996). The mathematics teacher and curriculum development. In A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 1207–1233). Dordrecht, The Netherlands: Kluwer.
Cohen, L. & Manion L. (1994). Research methods in education (Fourth edition). London: Routledge.
Crawford, K. & Adler, J. (1996). Teachers as researchers in mathematics education. In A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 1187–1205). Dordrecht, The Netherlands: Kluwer.
D’Ambrosio, U. (1994). Cultural framing of mathematics teaching and learning. In R. Biehler, R.W. Scholz, R. Strasser & B. Winkelman (Eds.), Didactics of mathematics as a scientific discipline (pp. 443–455). Dordrecht, The Netherlands: Kluwer.
Davis, J. & Cooke, S. (1998). Parents as partners for educational change. In B. Atweh, S. Kemmis & P. Weeks (Eds.), Action research in practice: Partnership for social justice in education (pp. 59–85). New York: Routledge.
Frankenstein, M. (1983). Critical mathematics education: An application of Paulo Freire’s epistemology. Journal of Education, 165(4), 315–339. (Reprinted in I. Shor (Ed.) (1987), Freire for the classroom (pp. 180–210). Porthmouth, USA: Boyton and Cook.)
Frankenstein, M. (1989). Relearning mathematics: A different third R — Radical maths. London: Free Association Books.
Frankenstein, M. (1995). Equity in mathematics education: Class in the world outside the class. In W.G. Secada, E. Fennema & L.B. Adajian (Eds.), New directions for equity in mathematics education (pp. 165–190). Cambridge, USA: Cambridge University Press.
Gerdes, P. (1996). Ethnomathematics and mathematics. In A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 909–943). Dordrecht, The Netherlands: Kluwer.
Giddens, A. (1986). Sociology: A brief but critical introduction. Houndsmills, USA: Macmillan.
Gravemeijer, K. (1998). Developmental research as a research method. In A. Sierpinska & J. Kilpatrick (Eds.), Mathematics education as a research domain: A search for identity (pp. 277–295). Dordrecht, The Netherlands: Kluwer.
Guba, E.G. & Lincoln, Y.S. (1994). Competing paradigms in qualitative research. In N.K. Denzin & Y.S. Lincoln (Eds.), Handbook of qualitative research (pp. 105–117). Thousand Oaks, USA: Sage.
Hitchcock, G. & Hughes, D. (1995). Research and the teacher: A qualitative introduction to school-based research. London: Routledge.
Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer.
Knijnik, G. (1998). Ethnomathematics and political struggles. Zentralblatt für Didaktik der Mathematik 98(6), 188–194.
Lakatos, I. (1976). Proofs and refutations: The logic of mathematical discovery (J. Worrall & E. Zahar, Eds.). Cambridge, UK: Cambridge University Press.
LeCompte, M.D., Millroy, W.L. & Preissle, J. (Eds.) (1992). The handbook of qualitative research in education. San Diego, USA: Academic Press.
Lincoln, Y.S. & Guba, E.G. (1985). Naturalistic inquiry. Beverly Hills, USA: Sage.
Mellin-Olsen, S. (1987). The politics of mathematics education. Dordrecht, The Netherlands: Reidel.
Mills, C.W. (1959). The sociological imagination. New York: Oxford University Press.
Niss, M. (1994). Mathematics and society. In R. Biehler, R.W. Scholz, R. Strasser & B. Winkelman (Eds.), Didactics of mathematics as a scientific discipline (pp. 367–378). Dordrecht, The Netherlands: Kluwer.
Penteado, M. (2001). Computer-based learning environments: Risks and uncertainties for teachers. Ways of Knowing, 1(2), 11–21.
Powell, A.B. & Frankenstein, M. (Eds.) (1997). Ethnomathematics: Challenging eurocentrism in mathematics education. Albany, USA: SUNY Press.
Reason, P. (1994). Three approaches to participative enquiry. In N.K. Denzin & Y.S. Lincoln (Eds.), Handbook of qualitative research (pp. 324–339). Thousand Oaks, USA: Sage.
Sierpinska, A. & Kilpatrick, J. (Eds.) (1998). Mathematics education as a research domain: A search for identity. Dordrecht, The Netherlands: Kluwer.
Skovsmose, O. (1994). Towards a philosophy of critical mathematics education. Dordrecht, The Netherlands: Kluwer.
Skovsmose, O. (1998). Linking mathematics education and democracy: Citizenship, mathematical archaeology, mathemacy and deliberative interaction. Zentralblatt für Didaktik der Mathematik, 98(6), 195–203.
Skovsmose, O. & Nielsen, L. (1996). Critical mathematics education. In A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 1257–1288). Dordrecht, The Netherlands: Kluwer.
Skovsmose, O. & Valero, P. (2001). Breaking political neutrality: The critical engagement of mathematics education with democracy. In B. Atweh, H. Forgasz & B. Nebres (Eds.). Sociocultural research on mathematics education: An international perspective (pp. 37–55). Mahwah, USA: Lawrence Erlbaum.
Skovsmose, O. & Valero, P. (2002). Democraticaccess to powerful mathematical ideas. In L. English (Ed.), Handbook of international research in mathematics education (pp. 383–407). Mahwah, USA: Lawrence Erlbaum.
Strauss, A. & Corbin, J. (1994). Grounded theory methodology. In N.K. Denzin & Y.S. Lincoln (Eds.), Handbook of qualitative research (pp. 273–285). Thousand Oaks, USA: Sage.
Valero, P. (1999). Deliberative mathematics education for social democratization in Latin America. Zentralblatt für Didaktik der Mathematik, 98(6), 20–26.
Vithal, R. (1999). Democracy and authority: A complementarity in mathematics education? Zentralblatt für Didaktik der Mathematik, 98(6), 27–36.
Vithal, R. (2000a). Re-searching mathematics education from a critical perspective. In J. F. Matos & M. Santos (Eds.), Proceedings of the Second International Mathematics Education and Society Conference (pp. 87–116). Lisbon: Centro de Investigacão em Educacão da Faculdade de Ciências, Universidade de Lisboa.
Vithal, R. (2000b). In search of a pedagogy of conflict and dialogue for mathematics education. Aalborg University (Denmark), Doctoral thesis.
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Skovsmose, O., Borba, M. (2004). Research Methodology and Critical Mathematics Education. In: Valero, P., Zevenbergen, R. (eds) Researching the Socio-Political Dimensions of Mathematics Education. Mathematics Education Library, vol 35. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7914-1_17
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