Encyclopedia of Educational Philosophy and Theory

2017 Edition
| Editors: Michael A. Peters

Mathematics Education as a Matter of Labor

  • Luis Radford
Reference work entry
DOI: https://doi.org/10.1007/978-981-287-588-4_518


During the twentieth century, mathematics education was predominantly conceptualized either as the diffusion of mathematical contents or as the facilitation of the students’ development of mathematical cognitive structures. In the first case, the emphasis was generally put on the organization of the mathematics curriculum and the efficient management of the learning environment. In the second case, the emphasis was often put on mental structures and the understanding of students’ mathematical conceptualizations. In the first case, the underpinning theoretical orientation was essentially epistemological. In the second case, the theoretical orientation was psychological. Although the aforementioned conceptualizations of mathematics education have shown their merits, in the past few years, there has been an increasing awareness that to come to grips with the complexity of contemporary societal demands, mathematics education can no longer be fruitfully formulated either as an...

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  1. Barwell, R. (2014). Centripetal and centrifugal language forces in one elementary school second language mathematics classroom. ZDM, 46(6), 911–922.CrossRefGoogle Scholar
  2. Freire, P. (2004). Pedagogy of indignation. Boulder: Paradigm Publishers.Google Scholar
  3. Ilyenkov, E. V. (1977). Dialectical logic. Moscow: Progress Publishers.Google Scholar
  4. Jaworski, B., Robinson, C. L., Matthews, J., & Croft, A. C. (2012). An activity theory analysis of teaching goals versus student epistemological positions. The International Journal for Technology in Mathematics Education, 19(4), 147–152.Google Scholar
  5. Leont’ev, A. N. (1978). Activity, consciousness, and personality. Englewood Cliffs: Prentice-Hall.Google Scholar
  6. Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm? Journal for Research in Mathematics Education, 27(2), 133–150.CrossRefGoogle Scholar
  7. Marx, K. (1998). The German ideology. New York: Prometheus Books.Google Scholar
  8. Radford, L. (2008). The ethics of being and knowing: Towards a cultural theory of learning. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom, and culture (pp. 215–234). Rotterdam: Sense Publishers.Google Scholar
  9. Radford, L. (2009). “No! He starts walking backwards!”: Interpreting motion graphs and the question of space, place and distance. ZDM: The International Journal on Mathematics Education, 41, 467–480.CrossRefGoogle Scholar
  10. Radford, L. (2016). On alienation in the mathematics classroom. International Journal of Educational Research. doi:10.1016/j.ijer.2016.04.001.CrossRefGoogle Scholar
  11. Radford, L., & Barwell, R. (2016). Language in mathematics education research. In A. Gutiérrez, G. Leder, & P. Boero (Eds.), The second handbook of research on the psychology of mathematics education. The journey continues. Rotterdam: Sense.Google Scholar
  12. Roth, W.–. M., & Radford, L. (2011). A cultural historical perspective on teaching and learning. Rotterdam: Sense Publishers.CrossRefGoogle Scholar
  13. Sfard, A. (2008). Thinking as communicating. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  14. Voloshinov, V. N. (1973). Marxism and the philosophy of language. New York: Seminar Press.Google Scholar
  15. Vygotsky, L. S. (1987). In R. W. Rieber & A. S. Carton (Eds.), Collected works (Vol. 1). New York: Plenum.Google Scholar

Copyright information

© Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Université LaurentienneSudburyCanada