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Combinatorics and reasoning: representing, justifying and building isomorphisms

References

  • Brousseau, G. (1997). Theory of didactical situations in mathematics: Didactique des mathématiques, 1970–1990. (M. Cooper, R. Sutherland, & V. Warfield, Eds.). Dordrecht: Kluwer Academic.
  • Brown, L., & Coles A. (2014). On doing the same problem – First lessons and relentless consistency. In C. Margolinas (Ed.), Task design in mathematics education. Proceedings of ICMI study 22 (pp. 617–626). Oxford: ICMI.
  • Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom mathematics traditions: An interactional analysis. American Educational Research Journal, 29, 573–604. doi:10.3102/00028312029003573
  • Davis, R. B. (1984). Learning mathematics: The cognitive science approach to mathematics education. Santa Barbara, CA: Greenwood Publishing Group.
  • Hoyles, C., & Sutherland, R. (1992). Logo mathematics in the classroom (Revised ed.). London: Routledge.
  • Hughes, M. (1986). Children and number: Difficulties in learning mathematics. Oxford: Blackwell.
  • Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. Cambridge, MA: Basic Books.
  • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458–477. doi:10.2307/749877

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