Commentary on Probabilistic Thinking: Presenting Plural Perspectives
Those of you familiar with research investigating probabilistic thinking in the field of mathematics education, might, at this point in the book, be expecting a “wish list” for future research, which has become customary (e.g., Kapadia and Borovcnik 1991; Jones et al. 2007; Shaughnessy 1992); however, we will not be adding to the list of wish lists. Instead, we have decided to, in this commentary, highlight some of the overarching themes that have emerged from the significant amount of research housed in this volume. Themes emerging from each of the four main perspectives—Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education—are now commented on in turn.
KeywordsMathematics Education Subjective Probability Mathematics Education Research Overarch Theme Philosophical Interpretation
- Jones, G. A., Langrall, C. W., & Mooney, E. S. (2007). Research in probability: responding to classroom realties. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 909–955). New York: Macmillan. Google Scholar
- Kahneman, D. (2011). Thinking, fast and slow. New York: Farrar, Straus and Giroux. Google Scholar
- Shaughnessy, J. M. (1992). Research in probability and statistics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 465–494). New York: Macmillan. Google Scholar
- Tzur, R. (2011). Can dual processing theories of thinking inform conceptual learning in mathematics? The Mathematics Enthusiast, 8(3), 597–636. Google Scholar
- Vazsonyi, A. (1999). Which door has the Cadillac? Decision Line, 30(1), 17–19. Retrieved from http://www.decisionsciences.org/DecisionLine/Vol30/30_1/vazs30_1.pdf. Google Scholar