References
- Findell B. Learning and understanding in abstract algebra [dissertation]. Durham (NH): University of New Hampshire; 2001.
- Simpson S, Stehlikova N. Apprehending mathematical structure: a case study of coming to understand a commutative ring. Educ Studies Math. 2006;61:347–371.
- Cook JP. A guided reinvention of ring, integral domain, and field [dissertation]. Norman (OK): University of Oklahoma; 2012.
- Freudenthal H. Revisiting mathematics education: China lectures. Dordrecht: Kluwer; 1991.
- Gravemeijer K, Doorman M. Content problems in realistic mathematics education: a calculus course as an example. Educ Studies Math. 1999;39:111–129.
- Gravemeijer K. Developmental research as a research method. In: Sierpinska A, Kilpatrick J, editors. Mathematics education as a research domain: a search for identity. Dordrecht: Kluwer; 1998. p. 277–296.
- Gravemeijer K. Developing realistic mathematics instruction. Utrecht: Freudenthal Institute; 1995.
- Cobb P. Conducting teaching experiments in collaboration with teachers. In: Kelly A, Lesh R, editors. Handbook of research design in mathematics and science education. Mahwah (NJ): Erlbaum; 2000. p. 307–334.
- Steffe L, Thompson P. Teaching experiment methodology: underlying principles and essential elements. In: Kelly A, Lesh R, editors. Handbook of research design in mathematics and science education. Mahwah (NJ): Erlbaum; 2000. p. 267–306.
- Lesh R, Lehrer R. Iterative refinement cycles for videotape analyses of conceptual change. In: Kelly A, Lesh R, editors. Handbook of research design in mathematics and science education. Mahwah (NJ): Erlbaum; 2000. p. 665–708.
- Zazkis R. Challenging basic assumptions: mathematical experiences for preservice teachers. Int J Math Ed Sci Tech. 1999;30(5):631–650.
- Lakatos I. Proofs and refutations. Cambridge (UK): Cambridge University Press; 1976.
- Larsen S, Zandieh M. Proofs and refutations in the undergraduate mathematics classroom. Educ Studies Math. 2007;67(3):205–216.
- Slavit D. Uncovering algebra: sense making and property-noticing. Math Educator. 2006;16(2):4–13.