Abstract
Doubts have been expressed whether research and development in mathematics education really support improvement of the processes of teaching and learning mathematics at school. The critique says that programmatic endeavours, such as “mathematics for all”, tend to end up in rhetorical claims that conceal the structural conditions of inequity of institutionalised instruction. In this chapter, which is inspired by several publications of Alexandre Pais, I argue for further reflections on the demands of mathematical knowledge in contemporary society. The topic of universality of mathematical education is the pivot around which historical, functional, emancipatory and political issues unfold.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Baldino, R., & Cabral, T. C. (2006). Inclusion and diversity from Hegel-Lacan point of view: Do we desire our desire for change? International Journal of Science and Mathematics Education, 4(1), 19–43.
Bourdieu, P. (1989). La noblesse d’état. Grandes écoles et esprit de corps. Paris: Minuit.
Broomes, D. (1989). The mathematical demands of a rural economy. In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.), Mathematics, education, and society (pp. 19–21). Paris: UNESCO.
Butler, J., Laclau, E., & Žižek, S. (2000). Contingency, hegemony, universality: Contemporary dialogues on the left. London: Verso.
CIEAEM. (2000). 50 Years of CIEAEM: where we are and where we go. Manifesto 2000 for the year of mathematics. Berlin: Freie Universität Berlin.
Cobb, P. (2007). Putting philosophy to work: Coping with multiple theoretical perspectives. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 3–38). Charlotte: IAP.
Damerow, P., Dunkley, M. E., Nebres, B. F., & Werry, B. (Eds.). (1984a). Mathematics for all: problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority. Paris: UNESCO.
Damerow, P., Dunkley, M. E., Nebres, B. F., & Werry, B. (1984b). Introduction: report on the work of theme group 1 “Mathematics for All” at ICME 5. In P. Damerow, M. E. Dunkley, B. F. Nebres, & B. Werry (Eds.), Mathematics for all: Problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority (pp. 1–10). Paris: UNESCO.
Damerow, P., & Westbury, I. (1984). Conclusions drawn from the experiences of the New Mathematics movement. In P. Damerow, M. E. Dunkley, B. F. Nebres, & B. Werry (Eds.), Mathematics for all: Problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority (pp. 22–25). Paris: UNESCO.
Damerow, P., & Westbury, I. (1985). Mathematics for all: Problems and implications. Journal of Curriculum Studies, 17(2), 175–184.
Davis, K., & Moore, W. (1945). Some principles of stratification. American Sociological Review, 10(2), 242–245.
De Lange, J. (1984). Mathematics for all is no mathematics at all. In P. Damerow, M. E. Dunkley, B. F. Nebres, & B. Werry (Eds.), Mathematics for all: Problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority (pp. 66–71). Paris: UNESCO.
Dowling, P. (1998). The sociology of mathematics education: Mathematical myths/pedagogic text. London: RoutledgeFalmer.
Fend, H. (2006). Neue Theorie der Schule. Einführung in das Verstehen von Bildungssystemen. Wiesbaden: VS.
Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Dordrecht: Kluwer.
Gates, P., & Vistro-Yu, C. (2003). Is mathematics for all? In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 31–73). Dordrecht: Kluwer.
Gates, P., & Zevenbergen, R. (2009). Foregrounding social justice in mathematics teacher education. Journal of Mathematics Teacher Education, 12(3), 161–170.
Gellert, U. (2006). Mathematik “in der Welt” und mathematische “Grundbildung.” Zur Konsistenz des mathematikdidaktischen Rahmens von PISA. In T. Jahnke & W. Meyerhöfer (Eds.), Pisa & Co. Kritik eines Programms (pp. 277–291). Franzbecker: Hildesheim.
Gellert, U. (2010). Modalities of local integration of theories in mathematics education. In B. Sriraman & L. English (Eds.), Theories of mathematics education: seeking new frontiers (pp. 537–550). Berlin: Springer.
Gigerenzer, G., Gaissmaier, W., Kurz-Milcke, E., Schwartz, L. M., & Woloshin, S. (2008). Helping doctors and patients make sense of health statistics. Psychological Science in the Public Interest, 8(2), 53–96.
Gispert, H., & Schubring, G. (2011). Societal, structural, and conceptual changes in mathematics teaching: reform processes in France and Germany over the twentieth century and the international dynamics. Science in Context, 24(1), 73–106.
Hartmann, M. (1996). Topmanager. Die Rekrutierung einer Elite. Frankfurt: Campus.
Hartmann, M. (2007). Eliten und Macht in Europa. Ein internationaler Vergleich. Frankfurt: Campus.
Hartmann, M. (2010). Elites and power structure. In S. Immerfall & G. Therborn (Eds.), Handbook of European societies: social transformations in the 21st century (pp. 291–323). New York: Springer.
Howson, G., Keitel, C., & Kilpatrick, J. (1981). Curriculum development in mathematics. Cambridge: Cambridge University Press.
Hoyles, C., Noss, R., Kent, P., & Bakker, A. (2010). Improving mathematics at work: The need for techno-mathematical literacies. London: Routledge.
Hudson, B. (2008). Learning mathematically as social practice in a workplace setting. In A. Watson & P. Winbourne (Eds.), New directions for situated cognition in mathematics education (pp. 287–302). New York: Springer.
Jahnke, H. N. (1986). Origins of school mathematics in early nineteenth-century Germany. Journal of Curriculum Studies, 18(1), 85–94.
Jensen, U. K. (1984). An evolution towards mathematics for all in upper secondary education in Denmark. In P. Damerow, M. E. Dunkley, B. F. Nebres, & B. Werry (Eds.), Mathematics for all: Problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority (pp. 55–57). Paris: UNESCO.
Jones, P. S. (1970). A history of mathematical education in the United States and Canada. Washington: NCTM.
Kanté, S. B. (1989). Critical issues of mathematics education in the Ivory Coast. In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.), Mathematics, education, and society (pp. 78–79). Paris: UNESCO.
Keitel, C. (1987). What are the goals of mathematics for all? Journal of Curriculum Studies, 19(5), 393–407.
Keitel, C., Damerow, P., Bishop, A., & Gerdes, P. (Eds.). (1989). Mathematics, education, and society. Paris: UNESCO.
Kollosche, D. (2014). Mathematics and power: An alliance in the foundations of mathematics and its teaching. ZDM: The International Journal on Mathematics Education, 46(7), 1061–1072.
Lundin, S. (2012). Hating school, loving mathematics: On the ideological function of critique and reform in mathematics education. Educational Studies in Mathematics, 80(1–2), 73–85.
Naumann, J. (1989). Practical aspects of basic mathematics teaching in Senegalese villages. In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.), Mathematics, education, and society (pp. 79–81). Paris: UNESCO.
Pais, A. (2012). A critical approach to equity. In O. Skovsmose & B. Greer (Eds.), Opening the cage: Critique and politics of mathematics education (pp. 49–91). Rotterdam: Sense.
Parsons, T. (1959). The school class as a social system. Harvard Educational Review, 29(4), 297–318.
Posselt, G. (2013). Grundlinien einer Debatte. Einführung zur deutschen Ausgabe. In J. Butler, E. Laclau, & S. Žižek (Eds.), Kontingenz, Hegemonie, Universalität. Aktuelle Dialoge zur Linken (pp. VII–XXVI). Wien: Turia + Kant.
Riall, R., & Burghes, D. (2000). Mathematical needs of young employees. Teaching Mathematics and Its Applications, 19(3), 104–113.
Silver, E. A., & Herbst, P. (2007). Theory in mathematics education scholarship. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 39–67). Charlotte: IAP.
Souviney, R. (1989). The Indigenous Mathematics Project: Mathematics instruction in Papua New Guinea. In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.), Mathematics, education, and society (pp. 106–109). Paris: UNESCO.
Stacey, K., Almuna, F., Caraballo, R. M., Chesné, J.-F., Garfunkel, S., Gooya, Z., et al. (2015). PISA’s influence on thought and action in mathematics education. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 275–306). Cham: Springer.
Straehler-Pohl, H., & Pais, A. (2014). To participate or not to participate? That is not the question! In B. Ubuz, Ç. Haser, & M. A. Mariotti (Eds.), Proceedings of the 8th Congress of the European Society for Research in Mathematics Education (pp. 1794–1803). Ankara: Middle East Technical University.
Ullmann, P. (2008). Mathematik, Moderne, Ideologie. Eine kritische Studie zur Legitimität und Praxis der modernen Mathematik. Konstanz: UVK.
UNESCO. (1990). World declaration on education for all. Bangkok: UNESCO Regional Office for Education in Asia and the Pacific.
Acknowledgments
I want to thank Anna Llewellyn, Candia Morgan and the editors of this volume for their helpful comments and suggestions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Gellert, U. (2017). Revisiting Mathematics for All: A Commentary to Pais’s Critique. In: Straehler-Pohl, H., Bohlmann, N., Pais, A. (eds) The Disorder of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-34006-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-34006-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-34005-0
Online ISBN: 978-3-319-34006-7
eBook Packages: EducationEducation (R0)