Abstract: This study explored students' reflective plausible reasoning in solving inequality problem. This explorative study with the qualitative approach was conducted to seven subjects. Data are derived from the result of written answer, think aloud, and interview. The data from those subjects were analyzed using a constant comparative method so that it was obtained the same characteristics of reflective plausible reasoning. In this article, the authors described two subjects. The results of this study were the characteristics of students' reflective plausible reasoning shown by these behaviors.............
Keywords: Reflective plausible reasoning, problem solving, inequality, intrinsic mathematical properties
[1] M. Chi, M. Bassok, M. Lewis, P. Reimann, and R. Glaser, Self-explanations: How students study and use examples in learning to solve problems, Cognitive Science, 13, 1989, 145-182.
[2] B. Jonsson, M. Norqvist, Y. Liljekvist, and J. Lithner, Learning mathematics through algorithmic and creative reasoning, Journal of Mathematical Behavior, 36, 2014, 20–32.
[3] I. Rofiki, Subanji, T. Nusantara, and T. D. Chandra, Student's creative reasoning in solving pattern generalization problem: A case study, in R. Ekawati, S. Fiangga, L. Hakim, R. Ismawati, I. F. Kurniawan, D. Maulana, A. Mustofa, A. Nugroho, D. Nurhadi, A. Ridwan, & A. Wardhono (Eds.), Proceeding of International Conference on Educational Research and Development (ICERD) 2015 (Surabaya: The State University of Surabaya, 2015), 358-365.
[4] N. Kamol and Y. B. Har, Upper primary school students' algebraic thinking, in L. Sparrow, B. Kissane, & C. Hurst (Eds.), Shaping the future of mathematics education: Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia, Fremantle: MERGA, 2010, 289-296.
[5] D. Peretz, Enhancing reasoning attitudes of prospective elementary school mathematics teachers, Journal of Mathematics Teacher Education, 9, 2006, 381–400.