Hybrid tasks: Promoting statistical thinking and critical thinking through the same mathematical activities

Referencias

Aizikovitsh-Udi, E. (2012). Developing critical thinking through probability models, intuitive judgments and decision-making under uncertainty. Published doctoral dissertation. Saarbrucken, Germany: LAP Lambert Academic Publishing. Aizikovitsh-Udi, E., & Amit, M. (2008). Developing critical thinking in probability lesson. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.), Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 9-13). Morelia, México: Universidad Michoacana de San Nicolás de Hidalgo. Clarke, D. J., Goos, M., & Morony, W. (2007). Problem solving and working mathematically: An Australian perspective. Zentralblatt für Didaktik der Mathematik (ZDM International Journal of Mathematics Education), 39, 475- 490. Clarke, D. J., & Helme, S. (1998). Context as construction. In O. Bjorkqvist (Ed.), Mathematics teaching from a constructivist point of view (pp. 129-147). Vasa, Finland: Faculty of Education, Abo Akademi University. Doyle, W. (1983). Academic work. Review of Educational Research, 53, 159- 199. Doyle, W. (1988). Work in mathematics classes: The context of students’ thinking during instruction. Educational Psychologist, 23, 167-180. Ennis, R. R. (1989). Critical thinking and subject specificity: Clarification and needed research. Educational Researcher, 18, 4-10. Ennis, R. H., & Millman, J. (2005). Cornell critical thinking test, level Z (5th ed.). Seaside, CA: The CT Company. Gal, I. (2004). Statistical literacy, meanings, components, responsibilities. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 47-78). Dordrecht, The Netherlands: Kluwer. Hiebert, J., Gallimore, R., Garnier, H., Givvin, K. B., Hollingsworth, H., Jacobs, J., et al. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. Washington, DC: NCES. Hiebert, J., & Wearne, D. (1993). Instructional tasks, classroom discourse, and students’ learning in second-grade arithmetic. American Educational Research Journal, 30, 393-425. Kröpfl, B., Peschek, W., & Schneider, E. (2000). Stochastik in der Schule: globale ideen, lokale bedeutungen, zentrale tätigkeiten. [Stochastics in school: Global ideas, local significances, central activities]. Mathematica Didactica, 23(2), 25-57. Kuntze, S., Lindmeier, A., & Reiss, K. (2008). “Using models and representations in statistical contexts” as a sub-competency of statistical literacy–Results from three empirical studies. In R. Biehler & M. Shaughnessy (Eds.), Proceedings of the 11th International Congress on Mathematics Education. Monterrey, Mexico: International Congress on Mathematical Education. Mesiti, C., & Clarke, D. J. (2010). A functional analysis of mathematical tasks in China, Japan, Sweden, Australia and the U.S.A: Voice and agency. In Y. Shimizu, B. Kaur, R. Huang, & D. J. Clarke (Eds.), Mathematical tasks in Aizikovitsh-Udi, E., & Amit, M. (2008). Developing critical thinking in probability lesson. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.), Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 9-13). Morelia, México: Universidad Michoacana de San Nicolás de Hidalgo. Clarke, D. J., Goos, M., & Morony, W. (2007). Problem solving and working mathematically: An Australian perspective. Zentralblatt für Didaktik der Mathematik (ZDM International Journal of Mathematics Education), 39, 475- 490. Clarke, D. J., & Helme, S. (1998). Context as construction. In O. Bjorkqvist (Ed.), Mathematics teaching from a constructivist point of view (pp. 129-147). Vasa, Finland: Faculty of Education, Abo Akademi University. Doyle, W. (1983). Academic work. Review of Educational Research, 53, 159- 199. Doyle, W. (1988). Work in mathematics classes: The context of students’ thinking during instruction. Educational Psychologist, 23, 167-180. Ennis, R. R. (1989). Critical thinking and subject specificity: Clarification and needed research. Educational Researcher, 18, 4-10. Ennis, R. H., & Millman, J. (2005). Cornell critical thinking test, level Z (5th ed.). Seaside, CA: The CT Company. Gal, I. (2004). Statistical literacy, meanings, components, responsibilities. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 47-78). Dordrecht, The Netherlands: Kluwer. Hiebert, J., Gallimore, R., Garnier, H., Givvin, K. B., Hollingsworth, H., Jacobs, J., et al. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. Washington, DC: NCES. Hiebert, J., & Wearne, D. (1993). Instructional tasks, classroom discourse, and students’ learning in second-grade arithmetic. American Educational Research Journal, 30, 393-425. Kröpfl, B., Peschek, W., & Schneider, E. (2000). Stochastik in der Schule: globale ideen, lokale bedeutungen, zentrale tätigkeiten. [Stochastics in school: Global ideas, local significances, central activities]. Mathematica Didactica, 23(2), 25-57. Kuntze, S., Lindmeier, A., & Reiss, K. (2008). “Using models and representations in statistical contexts” as a sub-competency of statistical literacy–Results from three empirical studies. In R. Biehler & M. Shaughnessy (Eds.), Proceedings of the 11th International Congress on Mathematics Education. Monterrey, Mexico: International Congress on Mathematical Education. Mesiti, C., & Clarke, D. J. (2010). A functional analysis of mathematical tasks in China, Japan, Sweden, Australia and the U.S.A: Voice and agency. In Y. Shimizu, B. Kaur, R. Huang, & D. J. Clarke (Eds.), Mathematical tasks inclassrooms around the world (pp. 185-216). Rotterdam, The Netherlands: Sense Publishers. McPeck, J. (1981). Critical thinking and education. New York, NY: St. Martin’s Press. Reading, C. (2002), Profile for statistical understanding. In B. Phillips (Ed.), Proceedings of the Sixth International Conference on Teaching Statistics. Cape Town, South Africa: International Association for Statistical Education. Stodolsky, S. (1988). The subject matters: Classroom activity in math and social studies. Chicago, IL: The University of Chicago Press. Wallman, K. (1993). Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, 88(421), 1-8. Watson, J. M. (1997). Assessing statistical thinking using the media. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics education (pp. 107-121). Israel/United States: IOS Press. Watson, J., & Callingham, R. (2003). Statistical literacy: A complex hierarchical construct. Statistics Education Research Journal, 2(2), 3-46.