RESOLVING COGNITIVE CONFLICT IN A REALISTIC SITUATION WITH MODELING CHARACTERISTICS: COPING WITH A CHANGING REFERENCE IN FRACTIONS
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This study investigates the effect of using a realistic situation with modeling characteristics in creating and resolving a cognitive conflict to promote understanding of a changing reference in fraction calculations. The study was conducted among 96 seventh graders divided into 2 experimental groups and 1 control group. The experimental groups coped with a realistic modeling situation in which they had to increase, then decrease, the size of a bag of fries. Results indicate conceptual change and better understanding of the changing reference among students in the experimental groups. The article describes their learning process, showing how their analysis of the situation promoted conflict resolution.
Key wordschanging reference cognitive conflict conflict resolution fractions modeling realistic mathematics education
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- English, L. D. & Fox, J. L. (2005). Seven-graders mathematical modeling on completion of a 3-year program. In P. Claarson et al. (Eds.), Building connections: theory, research and practice (Vol. 1, pp. 321–328). Melbourne: Deakin University Press.Google Scholar
- Kang, S., Scharmann, L. C., Noh, T. & Koh, H. (2010). Cognitive conflict and situational interest as factors the influencing conceptual change. International Journal of Environmental and Science Education, 5(4), 384–405.Google Scholar
- Lesh, R. A. & Doerr, H. M. (2003). Beyond constructivism: models and modeling perspectives in mathematics teaching, learning, and problem solving. Mahwah, NJ: Lawrence Erlbaum.Google Scholar
- Lesh, R., Hoover, M., Hole, B., Kelly, A. & Post, T. (2000). Principle for developing thought revealing activities for students and teachers. In R. Lesh & A. Kelly (Eds.), Handbook of research design in mathematics and science education (pp. 591–644). Mahwah, NJ: Lawrence Erlbaum.Google Scholar
- Liu, T.–C. (2010). Developing simulation-based computer assisted learning to correct students’ statistical misconceptions based on cognitive conflict theory, using “correlation” as an example. Educational Technology and Society, 13(2), 180–192.Google Scholar
- Moody, B. (2010). Connecting the points: cognitive conflict and decimal magnitude. In L. Sparrow, B. Kissane & C. Hurst (Eds.), Shaping the future of mathematics education. Proceedings of the Annual Conference of The Mathematics Education Research Group of Australasia (pp. 422–429). Fremantle: MERGA.Google Scholar
- Peled, I. & Suzan, A. (2011). Prospective teachers experiencing the power of intuitive knowledge involving percentages. In J. Novotna & H. Moraova (Eds.), Proceedings of the International Symposium Elementary Mathematics Teaching (SEMT) (pp. 267–275). Prague: Charles University.Google Scholar
- Piaget, J. (1985). The equilibration of cognitive structures. Chicago, IL: University of Chicago Press (Original work published in 1975).Google Scholar
- Shahbari, J. A. & Peled, I. (2012). Constructing the percent concept through integrative modeling activities based on the realistic approach. In T. Y. Tso (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 67–74). Taipei: PME.Google Scholar