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Research papers

Triggers of contingency in mathematics teaching

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References

  • Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 83–104). London: Ablex.
  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407. doi:10.1177/0022487108324554
  • Bishop, A. J. (1976). Decision-making, the intervening variable. Educational Studies in Mathematics, 7(1–2), 41–47. doi:10.1007/BF00144357
  • Bishop, A. J. (2001). Educating student teachers about values in mathematics education. In F.-L Lin & T. J. Cooney (Eds.), Making sense of mathematics teacher education (pp. 233–246). Dordrecht: Kluwer Academic.
  • Borko, H., Eisenhart, M., Brown, C. A., Underhill, R. G., Jones, D., & Agard, P. C. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23, 194–222. doi:10.2307/749118
  • Brown, M. (1981). Number operations. In K. Hart (Ed.), Children's understanding of mathematics (pp. 11–16). London: John Murray.
  • Corcoran, D. (2007). “You don’t need a tables book when you have butter beans!” Is there a need for mathematics pedagogy here? In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the fifth congress of the European society for research in mathematics education (pp. 1856–1865). Nicosia: Department of Education, University of Cyprus. ( Compact Disk)
  • Corcoran, D. (2008). Developing mathematical knowledge for teaching: A three-tiered study of Irish pre-service primary teachers ( Unpublished PhD thesis). University of Cambridge, Cambridge.
  • Dede, C. (2000). Emerging influences of information technology on school curriculum. Journal of Curriculum Studies, 32, 281–303. doi:10.1080/002202700182763
  • DfEE. (1998). National numeracy strategy, framework for teaching mathematics: Reception to year 6. London: Author.
  • Doyle, W. (1986). Classroom organization and management. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 392–431). New York, NY: Macmillan.
  • Glaser, B. G., & Strauss, A. L (1967). The discovery of grounded theory: Strategies for qualitative research. New York, NY: Aldine de Gruyter.
  • Goulding, M., Rowland, T., & Barber, P. (2002). Does it matter? Primary teacher trainees’ subject knowledge in mathematics. British Educational Research Journal, 28, 689–704. doi:10.1080/0141192022000015543a
  • Hattie, J. A. C. (2002). What are the attributes of excellent teachers? In B. Webber (Ed.), Teachers make a difference: What is the research evidence? (pp. 3–26). Wellington: Council for Educational Research.
  • Kaput, J. J. (1991). Notations and representations as mediators of constructive processes. In E. von Glaserfield (Ed.), Radical constructivism in mathematics education (pp. 53–74). Dordrecht: Kluwer.
  • Lampert, M., & Ball, D. L. (1999). Aligning teacher education with contemporary K-12 reform visions. In G. Sykes & L. Darling-Hammond (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp. 33–53). San Francisco, CA: Jossey Bass.
  • Leinhardt, G. (1993). On teaching. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 4, pp. 1–54). Hillsdale, NJ: Erlbaum.
  • Lunzer, E. (1968). Formal reasoning. In E. Lunzer & J. Morris (Eds.), Development in human learning. New York, NY: Elsevier.
  • Mason, J. (1988). Learning and doing mathematics. London: Macmillan.
  • McNair, K. (1978–1979). Capturing inflight decisions: Thoughts while teaching. Educational Research Quarterly, 3(4), 26–42.
  • Merseth, K. K. (1996). Cases and case methods in teacher education. In J. Sikula (Ed.), Handbook of research on teacher education (2nd ed., pp. 722–741). New York, NY: Macmillan and the Association of Teacher Educators.
  • Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108, 1017–1054.
  • Morine-Dershimer, G. (1978–1979). Planning in classroom reality: An in-depth look. Educational Research Quarterly, 3(4), 83–99.
  • Rowland, T. (2008). Researching teachers’ mathematics disciplinary knowledge. In P. Sullivan & T. Wood (Eds.), International handbook of mathematics teacher education:Vol.1. Knowledge and beliefs in mathematics teaching and teaching development (pp. 273–298). Rotterdam: Sense.
  • Rowland, T. (2010). Back to the data: Jason, and Elliot's quarters. 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. 4, pp. 97–104). Belo Horizonte: PME.
  • Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers’ mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8, 255–281. doi:10.1007/s10857-005-0853-5
  • Rowland, T., & Ruthven, K. (Eds.). (2011). Mathematical knowledge in teaching. London and New York: Springer.
  • Rowland, T., Turner, F., Thwaites, A., & Huckstep, P. (2009). Developing primary mathematics teaching: Reflecting on practice with the Knowledge Quartet. London: Sage.
  • Rowland, T., & Zazkis, R. (2013). Contingency in the mathematics classroom: Opportunities taken and opportunities missed. Canadian Journal of Science, Mathematics and Technology Education, 13, 137–153. doi:10.1080/14926156.2013.784825
  • Ryan, J., & Williams, J. (2007). Childrens mathematics 415: Learning from errors and misconceptions. Maidenhead: Open University Press.
  • Schoenfeld, A. H. (1998). Toward a theory of teaching-in-context. Issues in Education, 4(1), 1–94.
  • Schön, D. A. (1983). The reflective practitioner. New York, NY: Basic Books.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. doi:10.3102/0013189X015002004
  • Solomon, Y. (1989). The practice of mathematics. London: Routledge.
  • Turner, F. (2011). Mathematical content knowledge revealed through the foundation dimension of the KQ. In B. Ubuz (Ed.), Proceedings of the 35th conference of the international group for the psychology of mathematics education (Vol. 4, pp. 281–288). Ankara: PME.
  • Vygotsky, L. (1978). Mind and society: The development of higher mental processes. Cambridge, MA: Harvard University Press.
  • Wenger, E. (1998). Communities of practice: Learning, meaning and identity. Cambridge: Cambridge University Press.

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