Abstract
Major paradigmatic changes in mathematics education research are drawing attention to new perspectives on learning. Whereas deficit models were previously in the foreground of research designs, these have been replaced by a wide variety of theoretical directions for studying diverse approaches to learning mathematics. There is now an acceptance of the need for richness and variety in research practices so that approaches can be studied, compared and mutually applied and improved. Psychological and quantitative approaches and methods are now increasingly complemented, or even replaced, by new directions that rely on social and anthropological theories and methods. Rather than reviving ideas about deficit research in mathematics education, the aim of this chapter is to present some socio-cultural perspectives of mathematics learning, and to show how these perspectives go beyond the deficit model of learning. Framing the main traditional markers of discrimination in school mathematics—gender, social class and ethnicity—in a perspective of social justice, the chapter concludes with a reflection on equality in terms of the democratic principle of meritocracy in mathematics education.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Acioly, N. M. (1994). La juste mesure: Une étude des competences mathématiques des travailleurs de la canne a sucre du Nordeste du Brésil dans le domaine de la mesure (Doctoral dissertation). Université René Descartes, Paris, France.
Acioly, N. M., & Schliemann, A. D. (1987). Escolarização e conhecimento de matemática desenvolvido no contexto do jogo do bicho. (Schooling and knowledge of mathematics developed in the context of a “numbers game”) Cadernos de Pesquisa, 61, 42–57.
Acioly-Régnier, N. M. (1996). Diz-me com quem resolves um problema de matemática e dir-te-ei quem és. In M. G. B. Dias & A. Spinillo (Eds.), Tópicos em psicologia cognitiva (pp. 195–227). Recife, Brazil: Editora Universitária da UFPE.
Acioly-Régnier, N. M. (1997). Analyse des compétences mathématiques de publics adultes peu scolarisés et/ou peu qualifiés. In F. Andrieux, J.-M. Besse, & B. Falaise (Eds.), Illettrismes: Quels chemins vers l’écrit? Les actes de l’université d’été du 8 au 12 Juillet 1996. Lyon, France: Magnard.
Acioly-Régnier, N. M. (2010, September). Culture et cognition: Domaine de recherche, champ conceptuel, cadre d’intelligibilité et objet d’étude fournissant des instruments pour conduire des analyses conceptuelles et méthodologiques en psychologie et en sciences de l’éducation. Habilitation à diriger des recherches. Université Lumière Lyon 2.
Araújo, J. L. (2009). Formatting real data in mathematical modelling projects. IMFUFA Text, 461, 229–239.
Araújo, C. R., Andrade, F., Hazin, I., Da Rocha Falcão, J. T., Nascimento, J. C., & Lins Lessa, M. M. (2003). Affective aspects on mathematics conceptualization: From dichotomies to an integrated approach. In N. A. Pateman, B. J. Dougherty, & J. Zilliox (Eds.), Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education held jointly with the 25th Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 269–276). Honolulu, HI: PME.
Ascher, M., & Ascher, R. (1997). Ethnomathematics. In A. B. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging eurocentrism in mathematics (pp. 25–50). Albany, NY: SUNY Press.
Atweh, B., & Keitel, C. (2007). Social (in)justice and international collaboration in mathematics education. In B. Atweh, B. Barton, M. Borba, N. Gough, C. Keitel, C. Vistro-Yu, & R. Vithal (Eds.), Internationalisation and globalisation in mathematics and science education (pp. 95–112). New York, NY: Springer.
Back, J., & Pratt, N. (2007). Spaces to discuss mathematics: Communities of practice on an online discussion board. 2nd Socio-cultural Theory in Educational Research and Practice Conference, University of Manchester, UK. Retrieved March 24, 2008 from http://www.lta.education.manchester.ac.uk/ScTIG/papers/Jenni%20Back.pdf.
Baldino, R. R. (1998). School and surplus-value: Contribution from a Third-World country. In P. Gates (Ed.), Proceedings of the First International Mathematics Education and Society Conference (pp. 73–81). Nottingham, UK: Centre for the Study of Mathematics Education, Nottingham University.
Ball, D. L. (2003, February 6), What mathematical knowledge is needed for teaching mathematics? Remarks prepared for the Secretary’s summit on Mathematics, U.S. Department of Education, Washington, DC. Retrieved from http://www.ed.gov/rschstat/research/progs/mathscience/ball.html.
Barbosa, J. C. (2006). Mathematical modelling in classroom: A critical and discursive perspective. Zentralblatt Fur Didaktik der Mathematik, 38(3), 293–301.
Barton, B. (1996). Making sense of ethnomathematics: Ethnomathematics is making sense. Educational Studies in Mathematics, 31(1/2), 201–233.
Barton, B. (2008). The languages of mathematics. New York, NY: Springer.
Bernstein, B. (1996). Pedagogy, symbolic control and identity: Theory, research, critique. London, UK: Taylor and Francis.
Birchal, T. S., & Pena, S. D. J. (2010). The biological non-existence versus the social existence of human races—Can science instruct the social ethos? In S. D. J. Pena (Ed.), Themes in transdisciplinary research (pp. 23–59). Belo Horizonte, Brazil: Editora UFMG.
Bishop, A. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers.
Bishop, A. J. (1994). Cultural conflicts in mathematics education: Developing a research agenda. For the Learning of Mathematics, 14(2), 15–18.
Bishop, A. (1999, May). Democratising mathematics through education in the 21st century—Lessons from research. Address to 8th Southeast Conference on Mathematics Education, Manila, The Philippines.
Bishop, A. (2002). Mathematical acculturation, cultural conflicts, and transition. In G. de Abreu, A. J. Bishop, & N. C. Presmeg (Eds.), Transitions between contexts of mathematical practices (pp. 193–212). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Bishop, A. (2010). Directions and possibilities for research on mathematics and culture, in relation to mathematics education: A personal view. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 338–342). Belo Horizonte, Brazil: PME.
Bishop, A. J., FitzSimons, G. E., Seah, W. T., & Clarkson, P. C. (1999, December). Values in mathematics education: Making values teaching explicit in the mathematics classroom. Paper presented at the Australian Association for Research in Education, Melbourne.
Blanton, M., Stylianou, D., & David, M. M. (2003). The nature of instructional scaffolding in undergraduate students’ transition to mathematical proof. In N. A. Pateman, B. J. Dougherty, & J. Zilliox (Eds.), Proceedings of the 2003 Joint Meeting of PME and PMENA (Vol. 2, pp. 113–120). Honolulu, HI: International Group for the Psychology of Mathematics Education.
Boaler, J. (2000). Introduction: Intricacies of knowledge, practice, and theory. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 1–17). Westport, CT: Ablex Publishing.
Boaler, J. (2002a). The development of disciplinary relationships: Knowledge, practice and identity in mathematics classrooms. For the Learning of Mathematics, 22(1), 42–47.
Boaler, J. (2002b). Exploring the nature of mathematical activity: Using theory, research and “working hypotheses” to broaden conceptions of mathematics knowing. Educational Studies in Mathematics, 51(1–2), 3–21.
Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 171–200). Westport, CT: Ablex Publishing.
Bonilla-Silva, E. (1997). Rethinking racism: Toward a structural interpretation. American Sociological Review, 62, 465–480.
Borba, M. C. (1997). Ethnomathematics and education. In A. B. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging eurocentrism in mathematics (pp. 261–272). Albany, NY: SUNY Press.
Bourdieu, P., & Passeron, J.-C. (1977). Reproduction in education, society and culture. London, UK: Sage Publications. Published in For The Learning of Mathematics, 10(1), 39–43, in 1990.
Brousseau, G. (1986). Fondements et méthodes de la didactique des mathématiques. Résumés– Recherches em Didactique dês Mathématiques, 7(2). Retrieved from http://rdm.penseesauvage.com/Fondements-et-methodes-de-la.html.
Brousseau, G. (2006). Mathematics, didactical engineering and observation. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 3–18). Prague, Czech Republic: PME.
Brown, J. S., Collins, A., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher, 18(1), 32–42.
Brown, T., & McNamara, O. (2011). Becoming a mathematics teacher—Identity and identifications. Dordrecht, The Netherlands: Springer.
Bruner, J. (1990). Acts of meaning. Cambridge, MA: Harvard University Press.
Burton, L. (1986). Girls into maths can go. London, UK: Holt, Rinehart and Winston.
Canady, H. G. (1936). The effect of “rapport” on the IQ: A new approach to the problem of racial psychology. Journal of Negro Education, 5, 209–219.
Carraher, T. N. (1986). From drawings to buildings: Working with mathematical scales. International Journal of Behavioural Development, 9, 527–544.
Carraher, T. N., Carraher, D. W., & Schliemann, A. D. (1985). Mathematics in the streets and in schools. British Journal of Developmental Psychology, 3, 21–29.
Carraher, D. W., & Schliemann, A. D. (2002). Is everyday mathematics truly relevant to mathematics education? In J. Moshkovich & M. Brenner (Eds.), Everyday and academic mathematics in the classroom. Monographs of the Journal for Research in Mathematics Education 11, 131–153.
Carreira, S., Evans, J., Lerman, S., & Morgan, C. (2002). Mathematical thinking: Studying the notion of transfer. In A. Cockburn & E. Nardi (Eds.), Proceedings of 26th Annual Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 185–192). Norwich, UK: International Group for the Psychology of Mathematics Education.
Chevallard, Y., Bosch, M., & Gascón, J. (1997). Estudiar matemáticas: El eslabón perdido entre la enseñanza y el aprendizaje. Barcelona, Spain: I.C.E. Universitat Barcelona.
Chronaki, A. (2004). Researching the school mathematics culture of “others”: Creating a self-other dialogue. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 145–165). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Chronaki, A., & Christiansen, I. M. (Eds.). (2005). Challenging perspectives on mathematics classroom communication. Greenwich, CT: Information Age.
Civil, M. (2007). Building on community knowledge: An avenue to equity in mathematics education. In N. Nassir & P. Cobb (Eds.), Improving access to mathematics: Diversity and equity in the classroom (pp. 105–117). New York, NY: Teachers College Press.
Clarkson, P. C., Fitzsimons, G. E., & Seah, W. T. (1999). Values relevant to mathematics? I’d like to see that! In N. Scott, D. Tynan, G. Asp, H. Chick, J. Dowsey, B. McCrae, J. McIntosh, & K. Stacey (Eds.), Mathematics: Across the ages. Proceedings of the Thirty-sixth Annual Conference (pp. 129–132). Melbourne, Australia: Mathematical Association of Victoria.
Cobb, P. (2000). The importance of a situated view of learning to the design of research and instruction. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 45–82). Westport, CT: Ablex Publishing.
Cobb, P., & Bowers, J. (1999). Cognitive and situated learning perspectives in theory and practice. Educational Researcher, 28(2), 4–15.
Cobb, P., Stephan, M., McClain, K., & Gravemeijer, K. (2001). Participating in classroom mathematical practices. Journal of the Learning Sciences, 10, 113–164.
Cole, M. (1985). Mind as a cultural achievement: Implications for IQ testing. In E. Eisner (Ed.), Learning and teaching the ways of knowing (84th Yearbook of the National Society for the Study of Education) (pp. 218–249). Chicago, IL: National Society for the Study of Education.
Cole, M., Gay, J., Glick, J., & Sharp, D. W. (1971). The cultural context of learning and thinking. New York, NY: Basic Books.
Cole, M., & Scribner, S. (1974). Culture and thought, a psychological introduction. New York, NY: John Wiley & Sons.
Cooper, B., & Dunne, M. (2000). Assessing children’s mathematical knowledge—Social class, sex and problem solving. Buckingham, UK: Open University Press.
Costa, W. G., & Silva, V. L. (2010). A desconstrução das narrativas e a reconstrução do currículo: a inclusão dos saberes matemáticos dos negros e dos índios brasileiros (Narrative deconstruction and curriculum reconstruction: The inclusion of Brazilian indians’ and black people’s mathematical knowledge). Educar, 36, 245–260.
Coupland, M., & Wood, L. (1998). What happens when the girls beat the boys? Community reactions to the improved performance of girls in final school examinations. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 238–244). Berlin, Germany: Freie Universität Berlin.
D’Ambrosio, U. (1985). Mathematical education in a cultural setting. International Journal of Mathematics Education in Science and Technology, 16(4), 469–477.
D’Ambrosio, U. (1988, October). A research program in the history of ideas and in cognition. International Study Group on Ethnomathematics (ISGEm) Newsletter, 4(1). Retrieved from http://www.ethnomath.org/resources/ISGEm/035.htm.
D’Ambrosio, U. (1993). Educação matemática: Uma visão do estado da arte. Pro-Posições (Revista Quadrimestral – Faculdade de Educação – UNICAMP), 4(1[10]), 7–16.
D’Ambrosio, U. (1997). Foreword. In A. B. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging eurocentrism in mathematics education (pp. xv–xxi). Albany, NY: State University of New York Press.
D’Ambrosio, U. (2001). Etnomatemática: Elo entre as tradições e a modernidade (Ethnomathematics: Link between the traditions and the modernity). Belo Horizonte, Brazil: Autêntica.
D’Ambrosio, U. (2010a, January 22). Re: The name ethnomathematics: My personal view. Retrieved from http://vello.sites.uol.com.br/what.htm.
D’Ambrosio, U. (2010b, January 22). Re: Ethnomathematics: My personal view. Retrieved from http://vello.sites.uol.com.br/what.htm.
D’Ambrosio, U. (2010c, January 22). Re: Why ethomathematics? Or, what is ethnomathematics and how can it help children in schools? Retrieved from http://vello.sites.uol.com.br/what.htm.
Da Rocha Falcão, J. T. (1995). A case study of algebraic scaffolding: From balance scale to algebraic notation. In L. Meira & D. Carraher (Eds.), Proceedings of the 19th Conference for the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 66–73). Recife, Brazil: PME and Universidade Federal de Pernambuco.
Da Rocha Falcão, J. T. (2005). Conceptualisation en acte, conceptualisation explicite: Quels apports théoriques à offrir à la didactique des mathématiques et des sciences? Actes du Colloque Les processus de conceptualisation en debat-hommage a Gérard Vergnaud. Paris, France: Association pour la Recherche sur le Développement des Compétences.
David, M. M. (2004). Interações discursivas em sala de aula e o desenvolvimento do pensamento matemático dos alunos (Discursive interactions in classrooms and the development of the students’ mathematical thinking). Anais do VIII ENEM. Recife, Brazil (CD-ROM).
David, M. M., & Watson, A. (2008). Participating in what? Using situated cognition theory to illuminate differences in classroom practices. In A. Watson & P. Winbourne (Eds.), New directions for situated cognition in mathematics education (pp. 31–57). Dordrecht, The Netherlands: Springer.
de Abreu, G., Bishop, A. J., & Presmeg, N. (Eds.). (2002). Transitions between contexts of mathematical practices. Dordrecht, The Netherlands: Kluwer Academic Publishers.
de Abreu, G., & Carraher, D. W. (1989). The mathematics of Brazilian sugar cane farmers. In C. Keitel, P. Damerow, A. Bishop & P. Gerdes (Eds.), Mathematics, education and society (pp. 68–70). Paris, France: UNESCO Science and Technology Education Document Series, No. 35.
Dowling, P. (1998). The sociology of mathematics education: Mathematical myths/pedagogic texts. London, UK: Falmer.
Dowling, P. (2007). Organising the social. Philosophy of Mathematics Education Journal, 21. Retrieved from http://people.exeter.ac.uk/PErnest/pome21/index.htm.
Dubet, F. (2004). O que é uma escola justa? [What is a fair school?]. Cadernos de Pesquisa, 34, 539–555.
Engeström, Y. (1999). Situated learning at the threshold of the new millennium. In J. Bliss, R. Saljo, & P. Light (Eds.), Learning sites: Social and technological resources for learning (pp. 249–257). Oxford, UK: Pergamon-Earli.
Ernest, P. (2007a). Why social justice? Philosophy of Mathematics Education Journal, 21. Retrieved from http://people.exeter.ac.uk/PErnest/pome21/index.htm.
Ernest, P. (2007b). Questioning the gender problem in mathematics. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Ernest, P., Greer B., & Sriraman, B. (2009). Introduction: Agency in mathematics education. In P. Ernest, B. Greer, & B. Sriraman (Eds.), Critical issues in mathematics education (pp. ix–xvi). Missoula, MT: Age Publishing Inc. & Montana Council of Teachers of Mathematics (The Montana Mathematics Enthusiast—monograph series in mathematics education).
Fennema, E. (1995). Mathematics gender and research. In B. Grevholm & G. Hanna (Eds.), Gender and mathematics education, an ICMI Study (pp. 21–38). Lund, Sweden: Lund University Press.
Fiorentini, D. (Ed.). (2003). Formação de professores de matemática: Explorando novos caminhos com outros olhares [Mathematics teachers formation: Exploring new ways with other views]. Campinas, Brazil: Mercado de Letras.
Fonseca, M. C. F. R. (2010). Adult education and ethnomathematics: Appropriating results, methods, and principles. Zentralblatt fur Didaktik der Mathematik, 42, 361–369.
Ford, D. Y., Harris, J. J., Tyson, C. A., & Trotman, M. F. (2002). Beyond deficit thinking: Providing access for gifted African American students. Roeper Review, 24(2), 52–58.
Forgasz, H. (1998). The “male domain” of high school and tertiary mathematics learning environments. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 32–44). Berlin, Germany: Freie Universität Berlin.
Forgasz, H. J., Leder, G. C., & Kloosterman, P. (2010). New perspectives on the gender stereotyping of mathematics. Mathematical Thinking and Learning, 6(4), 389–420.
Frade, C. (2006). Humanizing the theoretical and the practical for mathematics education. In J. H. Woo, J. H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 99–103). Seoul, Korea: International Group for the Psychology of Mathematics Education.
Frade, C., & Da Rocha Falcão, J. T. (2008). Exploring connections between tacit knowing and situated learning perspectives in the context of mathematics education. In A. Watson & P. Winbourne (Eds.), New directions for situated cognition in mathematics education (pp. 203–231). Dordrecht, The Netherlands: Springer.
Frade, C., & Faria, D. (2008). Is mathematics learning a process of enculturation or a process of acculturation? In J. F. Matos, P. Valero, & K. Yasukawa (Eds.), Proceedings of the Fifth International Mathematics Education and Society Conference (Vol. 1, pp. 248–258). Lisbon, Portugal: Centro de Investigação em Educação, Universidade de Lisboa, and PME.
Frade, C., & Machado, M. C. (2008). Culture and affect: Impacts of the teachers’ values over the students’ affect. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.), Proceedings of the 32nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 33–40). Morelia, Mexico: Cinvestav-UMSNH.
Frade, C., Machado, M. C., & Faria, D. (2008). Culture and affect: Two studies about impacts of the teachers’ values over the students’ affect—Topic Study Group 30. The 11th International Congress on Mathematical Education—ICME 11. Monterrey, Mexico: ICMI. Retrieved from http://tsg.icme11.org/tsg/show/31.
Frade, C., & Meira, L. (2010) The social nature of affective behaviors and the constitution of identity. In C. Frade, B. Roesken, & M. Hannula (Orgs.). Identity and affect in the context of teachers’ professional development. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference for the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 247–249). Belo Horizonte, Brazil: International Group for the Psychology of Mathematics Education.
Frade, C., Roesken, B., & Hannula, M. S. (2010). Identity and affect in the context of teachers’ professional development. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference of the IGPME (Vol. 1, pp. 247–279). Belo Horizonte, Brazil: PME.
Frade, C., & Tatsis, K. (2009). Learning participation and local school mathematics practice. The Montana Mathematics Enthusiast, 6(1–2), 96–112.
Frade, C., Winbourne, P., & Braga, S. M. (2009). A mathematics-science community of practice reconceptualising transfer in terms of crossing boundaries. For the Learning of Mathematics, 29(2), 14–22.
Frankenstein, M. (1995). Equity in mathematics education: Class in the world outside the class. In W. Secada, E. Fennema, & L. Adajiand (Eds.), New directions for equity in mathematics education (pp. 165–190). Cambridge, MA: Cambridge University Press.
Galligan, L. (2005). Conflicts in offshore learning environments of a university preparatory mathematics course. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 25–32). Melbourne, Australia: International Group for the Psychology of Mathematics Education.
Gardner, H. (1983). Multiple intelligences: The theory in practice. New York, NY: Basic Books.
Gates, P. (2002). Issues of equity in mathematics education: Defining the problem, seeking solutions. In L. Haggarty (Ed.), Teaching mathematics in secondary schools: A reader (pp. 211–228). London, UK: Routledge/Falmer.
Gates, P. (2006). The place of equity and social justice in the history of PME. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education: Past, present and future (pp. 367–402). Rotterdam, The Netherlands: Sense Publishers.
Gee, J. P. (1996). Social linguistics and literacies: Ideologies in discourse. London, UK: Taylor and Francis.
Geertz, C. (1973). The interpretation of cultures. New York, NY: Basic Books.
Gerdes, P. (1994). Reflections on ethnomathematics. For The Learning of Mathematics, 14(2), 19–22.
Gerdes, P. (1996). Geometry from Africa—Mathematical and educational explorations. 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 Academic Publishers.
Gillborn, D. (1990). Race, ethnicity and education—Teaching and learning in multi-ethnic schools. London, UK: Unwin Hyman.
Gillborn, D. (2005). Education policy as an act of white supremacy: Whiteness, critical race theory and education reform. Journal of Education Policy, 20(4), 485–505.
Glevey, K. E. (2007). Pupils of African heritage, mathematics education and social justice. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Gomes, N. L. (2003). Cultura negra e educação [Black culture and education]. Revista Brasileira de Educação, 23, 75–85.
Gomes, M. L. M. (2008). Quatro visões iluministas sobre a educação matemática: Diderot, d’Alembert, Condillac e Condorcet. [Four visions on Mathematics Education from the Age of Enlightenment: Diderot, d’Alembert, Condillac and Condorcet]. Campinas, Brazil: Editora da UNICAMP.
Goos, M., Galbraith, P., & Renshaw, P. (2002). Socially mediated metacognition: Creating collaborative zones of proximal development in small group problem solving. Educational Studies in Mathematics, 49, 193–223.
Gorgorió, N., & Planas, N. (2001). Teaching mathematics in multicultural classrooms. Educational Studies in Mathematics, 47(1), 7–33.
Gorgorió, N., Planas, N., & Bishop, A. (2004). Dichotomies, complementarities and tensions: Researching mathematics teaching in its social and political context. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 107–123). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Gould, S. J. (1995). The mismeasure of man. New York, NY: Norton.
Graven, M. (2004). Investigating mathematics teacher learning within an in-service community of practice: The centrality of confidence. Educational Studies in Mathematics, 57, 177–211.
Greenfield, P., & Childs, C. (1977). Weaving, color terms, and pattern representation: Cultural influences and cognitive development among the zinacantecos of Southern Mexico. International Journal of Psychology, 11, 23–48.
Greeno, J. G. (1997). On claims that answer the wrong questions. Educational Researcher, 25(1), 5–17.
Greeno, J. G. (1998). The situativity of knowing, learning, and research. American Psychologist, 53(1), 5–26.
Greeno, J. G., Smith, D. R., & Moore, J. L. (1993). Transfer of situated learning. In D. K. Detterman & J. R. Sternberg (Eds.), Transfer on trial: Intelligence, cognition and instruction (pp. 99–167). Norwood, CT: Ablex Publishing.
Grevholm, B. (2007). Critical networking for women and mathematics: An intervention project in Sweden. Philosophy of Mathematics Education Journal, 21. Retrieved from http://people.exeter.ac.uk/PErnest/pome21/index.htm.
Groulx, L.-H. (2008). Contribuição da pesquisa qualitativa à pesquisa social. In J. Poupart, J. Deslauriers, L. Groulx, A. Laperrière, R. Mayer, & A. P. Pires (Eds.), A Pesquisa Qualitativa: enfoques epistemológicos e metodológicos [The qualitative research: methodological and epistemological approaches] (pp. 95–124). Petrópolis, Brazil: Vozes.
Gutiérrez, R. (2007). Context matters: Equity, success, and the future of mathematics education. In T. Lamberg & L. R. Wiest (Eds.), Proceedings of the 29th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 1–5). Stateline, Lake Tahoe, NV: University of Nevada, Reno.
Holland, D., Skinner, D., Lachicotte, W., & Cain, C. (2001). Identity and agency in cultural worlds. London, UK: Harvard University Press.
Hyde, J. S., Fennema, E., Ryan, M., Frost, L. A., & Hopp, C. (1990). Gender comparisons of mathematics attitudes and affect: A meta-analysis. Psychology of Women Quarterly, 14, 299–324.
Ingram, N. (2008). The importance of length, breadth and depth when studying student’s affective responses to mathematics through the lens of identity—Topic Study Group 30. The 11th International Congress on Mathematical Education—ICME 11. Monterrey, Mexico: ICMI. Retrieved from http://tsg.icme11.org/tsg/show/31.
Jablonski, N. G., & Chaplin, G. (2000). The evolution of human skin coloration. Journal of Human Evolution, 39, 57–106.
Jablonski, N. G., & Chaplin, G. (2002). Skin deep. Scientific American, 287(4), 74–81.
Jaworski, B. (2008, March 24). Theory in developmental research in mathematics teaching and learning: Social practice theory and community of inquiry as analytical tools. Paper presented at the 2nd Socio-cultural Theory in Educational Research and Practice Conference, University of Manchester, Manchester, UK. http://www.lta.education.manchester.ac.uk/ScTIG/papers/Barbara%20Jaworski.pdf.
Kariya, T. (2011). Japanese solutions to the equity and efficiency dilemma? Secondary schools, inequity and the arrival of “universal” higher education. Oxford Review of Education, 37(2), 241–266.
Keitel, C. (1998). Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling. Berlin, Germany: Freie Universität Berlin.
Kilpatrick, J. (1992). A history of research in mathematics education. In A. D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 3–28). New York, NY: Macmillan.
Kirshner, D., & Whitson, J. A. (Eds.). (1997). Situated cognition: Social, semiotic and psychological perspectives. Mahwah, NJ: Lawrence Erlbaum.
Klineberg, O. (1935). Race differences. New York, NY: Harper.
Knijnik, G. (1998). Exclusion and resistance in Brazilian struggle for land: (Underprivileged) Women and mathematics education. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 116–122). Berlin, Germany: Freie Universität Berlin.
Knijnik, G. (1999). Ethnomathematics and the Brazilian landless people education. Zentralblatt fur Didaktik der Mathematik, 31(3), 188–194.
Knijnik, G. (2004). Lessons from research with a social movement. A voice from the South. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 125–141). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Knijnik, G. (2010). Studying people’s out of school mathematical practices. Research Forum: The role of context in research with digital technologies: Towards a conceptualisation. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 318–322). Belo Horizonte, Brazil: International Group for the Psychology of Mathematics Education.
Krzywacki, H., & Hannula, M. S. (2010). Tension between present and ideal state of teacher identity in the core of professional development. In C. Frade, B. Roesken, & M. Hannula (Eds.). Identity and affect in the context of teachers’ professional development. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 267–271). Belo Horizonte, Brazil: International Group for the Psychology of Mathematics Education.
Kwame, E. G. (2007). Pupils of African heritage, mathematics education and social justice. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Lave, J. (1977). Cognitive consequences of traditional apprenticeship training in Africa. Anthropology and Educational Quarterly, 7, 177–180.
Lave, J. (1988). Cognition in practice. New York, NY: Cambridge University Press.
Lave, J. (1989). The acquisition of culture and the practice of understanding. In J. Stigler, R. Shweder, & G. Herdt (Eds.), The Chicago Symposia on human development. Cambridge, UK: Cambridge University Press.
Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. New York, NY: Cambridge University Press.
Leontiev, A. N. (1994). Uma contribuição à teoria do desenvolvimento da psique infantil. In L. S. Vygotsky, A. R. Luria, & A. N. Leontiev (Eds.), Linguagem, desenvolvimento e aprendizagem. São Paulo, Brazil: Ícone/EDUSP.
Lerman, S. (1999). Culturally situated knowledge and the problem of transfer in the learning of mathematics. In L. Burton (Ed.), From hierarchies to networks in mathematics education (pp. 93–107). London, UK: Falmer.
Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19–44). Westport, CT: Ablex Publishing.
Levenson, E., Tirosh, D., & Tsamir, P. (2009). Students’ perceived sociomathematical norms: The missing paradigm. The Journal of Mathematical Behavior, 28(2–3), 171–187.
Lieberson, G. (1985). Making it count: The improvement of social research and theory. Los Angeles, CA: University of California Press.
Livingston, C. V. (2007). The privilege of pedagogical capital: A framework for understanding scholastic success in mathematics. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Long, H. H. (1925). On mental tests and race psychology—A critique. Opportunity, 3, 134–138.
Lopez, M. L., & Allal, L. (2007). Sociomathematical norms and the regulation of problem solving in classroom microcultures. International Journal of Educational Research, 46, 252–265.
Luria, A. R. (1976). Cognitive development. Cambridge, MA: Harvard University Press.
Martin, D. B. (2006). Mathematics learning and participation in African-American context: The co-construction of identity in two intersecting realms of experience. In N. Nasir & P. Cobb (Eds.), Diversity, equity, and access to mathematical ideas (pp. 146–158). New York, NY: Teachers College Press.
Martin, D. B. (2009). Researching race in mathematics education. Teachers College Record, 111(2), 295–338.
Martin, L., Towers, J., & Pirie, S. (2006). Collective mathematical understanding as improvisation. Mathematical Thinking and Learning, 8(2), 149–183.
Mattos, A. C., & Batarce, M. S. (2010). Mathematics education and democracy. Zentralblatt fur Didaktik der Mathematik, 42, 281–289.
McMurchy-Pilkington, C. (1998). Positioning of Maori women and mathematics: Constructed as non-doers. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 108–115). Berlin, Germany: Freie Universität Berlin.
McVittie, J. (2004). Discourse communities, student selves and learning. Language and Education, 18(6), 488–503.
Meira, L., & Lerman, S. (2010). Zones of proximal development as fields for communication and dialogue. In C. Lightfoot & M. C. D. P. Lyra (Eds.), Challenges and strategies for studying human development in cultural contexts (pp. 199–219). Rome, Italy: Information Age.
Mellin-Olsen, S. (1987). The politics of mathematics education. Dordrecht, The Netherlands: Reidel.
Menchaca, M. (1997). Early racist discourse: The roots of deficit thinking. In R. R. Valencia (Ed.), The evolution of deficit thinking (pp. 13–40). New York, NY: Falmer.
Millroy, W. (1992). An ethnographic study of the mathematical ideas of a group of carpenters. Reston, VA: National Council of Teachers of mathematics.
Moreira, P. C., & David, M. M. (2008). Academic mathematics and mathematical knowledge needed in school teaching practice: Some conflicting elements. Journal of Mathematics Teacher Education, 11, 23–40.
Moshkovich, J., & Brenner, M. (2002). Everyday mathematics. Monographs of the Journal for Research in Mathematics Education (pp. 131–153). Reston, VA: The National Council of Teachers of Mathematics.
Nicol, C. (2002). Where’s the math? Prospective teachers visit the workplace. Educational Studies in Mathematics, 50, 289–309.
Nkhwalume, A. A. (2007). Deconstructing the scholarly literature on gender differentials in mathematics education: Implications for research on girls learning mathematics in Botswana. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Novotná, J., & Hošpesová, A. (2008). Theory of didactical situations in mathematics. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.), Proceedings of the 32nd Meeting of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 105–106). Morelia, Mexico: Cinvestav-UMSNH/PME.
Nunes, T., Schliemann, A. D., & Carraher, D. W. (1993). Street mathematics and school mathematics. Cambridge, UK: Cambridge University Press.
Osler, A., & Starkey, H. (2010). Teachers and human rights education. Stoke-on-Trent, UK: Trentham Books.
Palhares, P. (Ed.). (2008). Etnomatemática—Um olhar sobre a diversidade cultural e a aprendizagem matemática [Ethnomathematics—A look at the cultural diversity and the mathematics learning]. Vila Nova de Famalicão: Húmus.
Passos, C. C. M., & Teixeira, P. J. M. (2011, June). Um pouco da teoria das situações didáticas (tsd) de Guy Brousseau [Some of the theory of didactic situations (tsd) of Guy Brousseau]. Anais da XIII Conferência Interamericana de Educação Matemática (CIAEM-IACME), Recife, Brazil.
Perret-Clermont, A. N., & Brossard, A. (1988). L’intrication des processus cognitifs et sociaux dans les interactions. In R. A. Hinde, A. N. Perret-Clermont, & J. Stevenson-Hinde (Eds.), Relations interpersonnelles et développement des saviors (pp. 441–465). Genève, Switzerland: Del Val.
Piaget, J. (1971). Intellectual evolution from adolescence to adulthood. Human Development, 15, 1–12.
Piaget, J. (1974). Réussir et comprendre. Paris, France: PUF.
Ponte, J. P. (2003). Investigar, ensinar e aprender [Investigations, teaching and learning]. Actas do ProfMat (CD-ROM, pp. 25–39). Lisboa, Portugal: APM.
Popkewitz, T. (2004). School subjects, the politics of knowledge, and the projects of intellectuals in change. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 251–267). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Powell, A. B. (2002). Ethnomathematics and the challenges of racism in mathematics education. In P. Valero & O. Skovsmose (Eds.), Proceedings of the 3rd International Mathematics Education and Society Conference (Vol. 1, pp. 17–30). Copenhagen, Denmark: Centre for Research in Learning Mathematics.
Powell, A. B., & Frankenstein, M. (Eds.). (1997). Ethnomathematics: Challenging eurocentrism in mathematics. Albany, NY: SUNY Press.
Reed, H. J., & Lave, J. (1979). Arithmetic as a tool for investigating relations between culture and cognition. American Anthropologist, 6, 568–582.
Relethford, J. H. (1994). Craniometric variation among modern human populations. American Journal of Physical Anthropology, 95, 53–62.
Relethford, J. H. (2002). Apportionment of global human genetic diversity based on craniometrics and skin colour. American Journal of Physical Anthropology, 118, 393–398.
Restivo, S., & Sloan, D. (2007). The sturm and drang of mathematics: Casualties, consequences, and contingencies in the math wars. Philosophy of Mathematics Education Journal, 20. Retrieved from http://people.exeter.ac.uk/PErnest/pome20/index.htm.
Rogoff, B. (1981). Schooling and the development of cognitive skills. In H. C. Triandis & A. Heron (Eds.), Handbook of cross-cultural psychology (Vol. 4, pp. 233–294). Boston, MA: Allyn and Bacon.
Rorty, R. (1989). Contingency, irony, and solidarity. Cambridge, MA: Cambridge University Press.
Rossi-Becker, J. (1998). Research on gender and mathematics in the USA: Accomplishments and future challenges. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 251–257). Berlin, Germany: Freie Universität Berlin.
Santos, M., & Matos, J. F. (2002). Thinking about mathematical learning with Cabo Verde Ardinas. In G. de Abreu, A. J. Bishop, & N. Presmeg (Eds.), Transitions between contexts of mathematical practices (pp. 81–122). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Saxe, G. B. (1991). Culture and cognitive development: Studies in mathematical understanding. Hillsdale, NJ: Lawrence Erlbaum.
Saxe, G. B., & Posner, J. (1983). The development of numerical cognition: Cross-cultural perspectives. In H. P. Ginsburg (Ed.), The development of mathematical thinking (pp. 291–317). London, UK: Academic Press.
Schliemann, A. D. (1985). Mathematics among carpenters and carpenters’ apprentices: Implications for school teaching. In P. Damerow, M. Dunkley, B. Nebres, & B. Werry (Eds.), Mathematics for all. Paris, France: UNESCO Science and Technology Education Document Series, No. 20.
Schliemann, A. D., & Acioly, N. M. (1989). Mathematical knowledge developed at work: The contribution of practice versus the contribution of schooling. Cognition and Instruction, 6(3), 185–221.
Schliemann, A. D., Araújo, C., Cassundé, M. A., Macedo, S., & Nicéas, L. (1994). Multiplicative commutativity in school children and street sellers. Journal for Research in Mathematics Education, 29(4), 422–435.
Schliemann, A. D., & Carraher, D. W. (2004). Everyday mathematics: Main findings and relevance to schools. In N. M. Acioly-Régnier (Ed.), Apprentissages informels: De la recherche à l’apprentissage scolaire (pp. 171–182). Rapport d’études sur la thématique Apprentissages informels. PIREF (Programme Incitatif à la Recherche en éducation et Formation). Ministère de la Recherche, France.
Schliemann, A. D., & Magalhães, V. P. (1990). Proportional reasoning: From shops, to kitchens, laboratories, and, hopefully, schools. In G. Booker, P. Cobb, & T. de Mendicuti (Eds.), Proceedings of the 14th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 67–73). Oaxtepec, Mexico: International Group for the Psychology of Mathematics Education.
Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). New York, NY: Macmillan.
Scribner, S., & Cole, M. (1973). Cognitive consequences of formal and informal education. Science, 182, 553–559.
Seah, W. T., & Bishop, A. J. (2000, April). Values in mathematics textbooks: A view through two Australasian regions. Paper presented at the 81st Annual Meeting of the American Educational Research Association, New Orleans.
Seeger, F., Voigt, J., & Waschescio, U. (1998). The culture of the mathematics classroom. Cambridge, UK: Cambridge University Press.
Seliktar, M., & Malik, L. P. (1998). A study of gender differences and math-related career choice among university students. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 83–94). Berlin, Germany: Freie Universität Berlin.
Sells, L. W. (1978, February). Mathematics—Critical filter. The Science Teacher, 28–29.
Setati, M., & Adler, J. (2000). Between languages and discourses: Language practices in primary multilingual mathematics classrooms in South Africa. Educational Studies in Mathematics, 43, 243–269.
Sewell, T. (1997). Black masculinities and schooling. London, UK: Trentham.
Sfard, A. (2006). Participationist discourse on mathematics learning. In J. Maaß & W. Schlöglmann (Eds.), New mathematics education research and practice (pp. 153–170). Rotterdam, The Netherlands: Sense Publishers.
Sfard, A., & Pursak, A. (2005). Telling identities: In search of an analytic tool for investigating learning as a culturally shaped activity. Educational Researcher, 34(4), 14–22.
Shirley, L. (1995). Using ethnomathematics to find multicultural mathematical connections. In P. A. House & A. F. Coxford (Eds.), Connecting mathematics across the curriculum (pp. 34–33). Reston, VA: National Council of Teachers of Mathematics.
Sierpinska, A. (2007). I need the teacher to tell me if I am right or wrong. In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 45–64). Seoul, Korea: International Group for the Psychology of Mathematics Education.
Silver, E., & Smith, M. (1996). Building discourse communities in mathematics classroom: A worthwhile but challenging journey. In P. Elliott & M. Kenney (Eds.), Communication in mathematics K–12 and beyond (pp. 20–28). Reston, VA: National Council of Teachers of Mathematics.
Singh, S. (1998). Women’s perceptions and experiences of mathematics. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 101–107). Berlin, Germany: Freie Universität Berlin.
Skelton, C. (2010). Gender and achievement: Are girls the “success stories” of restructured education systems? Educational Review, 62(2), 131–142.
Skovsmose, O. (2001). Landscapes of investigation. Zentralblatt fur Didaktik der Mathematik, 33(4), 123–132.
Skovsmose, O., & Borba, M. (2004). Research methodology and critical mathematics education. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 207–226). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Sternberg, R. J. (1985). Beyond IQ: A triarchic theory of human intelligence. Cambridge, MA: Cambridge University Press.
Stevens, P. A. J., Clycq, N., Timmerman, C., & Van Houtte, M. (2009). Researching race/ethnicity and educational inequality in the Netherlands: A critical review of the research literature between 1980 and 2008. British Educational Research Journal, 37(1), 5–43.
Sukthankar, N. (1998). Influences of parents, family, and environment on attitudes of teachers and pupils in Papua New Guinea. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 95–100). Berlin, Germany: Freie Universität.
Tardif, M., Lessard, C., & Lahaye, L. (1991). Les enseignants des orders d’enseignement primaire et secondaire face aux savoirs. Esquisse d’une problématique du savoir enseignant. Sociologie et Sociétés, 23(1), 55–69.
Tatsis, K., & Kolezab, E. (2008). Social and socio-mathematical norms in collaborative problem-solving. European Journal of Teacher Education, 31(1), 89–100.
Thomas, W. B. (1982). Black intellectuals’ critiques of early mental testing: A little known saga of the 1920s. American Journal of Education, 90, 258–292.
Valencia, R. R. (2010). Dismantling contemporary deficit thinking—Educational thought and practice. New York, NY: Routledge.
Valero, P. (2004). Socio-political perspectives on mathematics education. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 5–23). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Valero, P., & Zevenbergen, R. (Eds.). (2004). Researching the socio-political dimensions of mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers.
Van der Veer, R., & Valsiner, J. (1991). Understanding Vygotsky—A quest for synthesis. Oxford, UK: Basil Blackwell Inc.
Vergnaud, G. (1991). La théorie des champs conceptuels. Recherches en Didactique des Mathématiques, 10(2–3), 133–169.
Vergnaud, G. (2009). The theory of conceptual fields. Human Development, 52, 83–94.
Vithal, R. (2003). Student teachers and “Street Children”: On becoming a teacher of mathematics. Journal of Mathematics Teacher Education, 6, 165–183.
Vithal, R. (2004). Researching, and learning mathematics at the margin: From “shelter” to school. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 95–104). Bergen, Norway: Bergen University College.
Vygotsky, L. (1962). Thought and language (E. Hanfmann & G. Vakar, Trans.). Cambridge, MA: Massachusetts Institute of Technology.
Vygotsky, L. (1978). Mind in society. Cambridge, MA: Harvard University Press.
Walkerdine, V. (1997). Redefining the subject in situated cognition theory. In D. Kirshner & J. A. Whitson (Eds.), Situated cognition: Social, semiotic and psychological perspectives (pp. 57–70). Mahwah, NJ: Erlbaum.
Walkerdine, V. (1998). Science, reason and the female mind. In V. Walkerdine (Ed.), Counting girls out: Girls and mathematics (pp. 29–41). London, UK: Falmer Press.
Walshaw, M., & Anthony, G. (2008). The teacher’s role in classroom discourse: A review of recent research into mathematics classrooms. Review of Educational Research, 78(3), 516–551.
Watson, A., & Winbourne, P. (Eds.). (2008). New directions for situated cognition in mathematics education. New York, NY: Springer.
Weiner, L. (2006). Challenging deficit thinking. Teaching to Student Strengths, 64(1), 42–45.
Wenger, E. (1998). Communities of practice: Learning, meaning and identity. Cambridge, UK: Cambridge University Press.
Wenger, E. (2007, September). Learning for a small planet: Agency and structure in the constitution of identity. Paper presented at the 2nd Socio-Cultural Theory in Educational Research and Practice Conference, University of Manchester, Manchester, UK.
Wertsch, J. V., Del Rio, P., & Alvarez, A. (1995). Sociocultural studies of mind. New York, NY: Cambridge University Press.
Williams, G., & Clarke, D. (2003, April). Dyadic patterns of participation and collaborative concept creation: ‘Looking In’ as a stimulus to complex mathematical thinking. Paper presented as part of the symposium “Patterns of Participation in the Classroom” at the Annual Meeting of the American Educational Research Association, Chicago.
Willis, S. (1998). Perspectives on social Justice, disadvantage, and the mathematics curriculum. In C. Keitel (Ed.), Social justice and mathematics education: Gender, class, ethnicity and the politics of schooling (pp. 1–19). Berlin, Germany: Freie Universität Berlin.
Winbourne, P., & Watson, A. (1998). Learning mathematics in local communities of practice. In A. Watson (Ed.), Situated cognition in the learning of mathematics (pp. 93–104). Oxford, UK: University of Oxford, Department of Educational Studies.
Wright, C., Weeks, D., & McGlaughlin, A. (2000). “Race,” class and gender in exclusions from school. London, UK: Falmer Press.
Yackel, E. (2001). Explanation, justification and argumentation in mathematics classrooms. In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 9–23). Utrecht, The Netherlands: International Group for the Psychology of Mathematics Education.
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 390–408.
Yackel, E., Rasmussen, C., & King, K. (2000). Social and sociomathematical norms in an advanced undergraduate mathematics course. Journal of Mathematical Behavior, 19, 1–13.
Zevenbergen, R. (1998). Gender, media, and conservative politics. In C. Keitel (Ed.), Social justice and mathematics education—Gender, class, ethnicity and the politics of schooling (pp. 59–68). Berlin, Germany: Freie Universität Berlin.
Acknowledgments
We are very grateful to Ricardo Scucuglia for his generous support in directing us to important international references, to Alexandre Rodrigues for his assistance in the organization of the references, and to Steve Lerman and Simon Goodchild for helpfully reviewing this chapter.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media New York
About this chapter
Cite this chapter
Frade, C., Acioly-Régnier, N., Jun, L. (2012). Beyond Deficit Models of Learning Mathematics: Socio-cultural Directions for Change and Research. In: Clements, M., Bishop, A., Keitel, C., Kilpatrick, J., Leung, F. (eds) Third International Handbook of Mathematics Education. Springer International Handbooks of Education, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4684-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4614-4684-2_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-4683-5
Online ISBN: 978-1-4614-4684-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)