El razonamiento implicado en el estudio del muestreo. Aportes para la enseñanza de la estadística inferencial

Referencias

Bakker, A. (2004). Design research in statistics education: On symbolizing and computer tools. Utrecht, the Netherlands: CD Beta Press. Ben-Zvi, D., Aridor, K., y Bakker, A. (2012). Students ́emergent articulations of uncertainty while making informal statistical inferences. ZDM- The International Journal on Mathematics Education, 44(7), 913-925. Biehler, R., Ben-Zvi, D., Bakker, A., y Maker, k. (2013). Technology for enhancing statistical reasoning at the school level. In M.A. Clements, A. Bishop, C.Keitel, J. Kilpatrick, & F. Leung (Eds.), Third international handbook of mathematics education (pp.643-690). New York: Springer. Chance, B., Ben-Zvi, D., Garfield, J., y Medina, E. (2007). The role of technology in improving student learning of statistics. Technology Innovations in Statistics Education, 1(1). delMas, R.C., Garfield, J., y Chance, B.(2004). Using assessment to study the development of students ́reasoning about sampling distributions. Paper presented at the annual meeting of the American Educational Research Association, San Diego. Garfield, J., y Ben-Zvi, D. (2008). Developing students ́statistical reasoning: Connecting research and teaching practice. Dordrecht, The Netherlands: Springer. Lane-Getaz, S.J. (2006). What is statistical thinking, and how is it developed? In G.F. Burrill (Ed.), Thinking and reasoning about data and chance: Sixty-eight NCTM Yearbook (pp. 273-289). Reston, VA: National Council of Teachers of Mathematics. Moreno, A. (2017). Dificultades en la comprensión del concepto de muestra aleatoria simple en estudiantes universitarios. Segundo Congreso Internacional Virtual sobre el Enfoque Ontosemiótico del Conocimiento y la Investigación Matemáticos. En J.M Contreras, P. Arteaga, G.R. Cañadas, M.M. Gea, B. Giacomone y M.M. López-Martín (Eds), Actas del Segundo Congreso Internacional sobre el Enfoque Ontosemiótico. ISBN: 978- 84-617-9047-0 Moreno, A., Cardeñoso, J.M., y González-García, F. (2015). Los significados de la probabilidad en los profesores de matemática en formación: un análisis desde la teoría de los modelos mentales. En R. Flores (Ed), Acta Latinoamericana de Matemática Educativa 28, 1320-1327. México, D.F.: Comité Latinoamericano de Matemática Educativa A.C. ISSN: 2448-6469 Moreno, A., Cardeñoso, J.M., y González-García, F. (2014). Los significados de la aleatoriedad de los profesores de matemática y de biología en formación. En P. Lestón (Ed), Acta Latinoamericana de Matemática Educativa 27, 1963-1972. México: Comité Latinoamericano de Matemática Educativa. Rubin, A., Bruce, B., y Tenney, Y. (1990). Learning about sampling: Trouble at the core of statistics. In D. Vere-Jones (Ed.), Proceedings of the Third International Conference on Teaching Statistics, Vol. 1, 314-319. Voorburg, The Netherlands: International Statistical Institute. Saldanha, L.A., y Thompson, P.W. (2002). Conceptions of sample and their relationship to statistical inference. Educational Studies in Mathematics, 5(3), 257-270. Sedlmeier, P. (1999). Improving statistical reasoning: Theoretical models and practical implications. Hillsdale, NJ: Erlbaum. Sedlmeier, P., y Gigerenzer, G. (1997). Intuitions about sample size: The empirical law of large numbers. Journal of Behavioral Decision Making, 10(19); 33-51. Shaughnessy, J.M. (2007). Research on statistics learning and reasoning. In F.K.Lester (Ed.), Second handbook of research on mathematics teaching and learning, 957-1009. Charlotte, NC: Information Age Publishing. Tversky, A., y Kahneman, D. (1971). Belief in the law of small numbers. Psychological Bulletin, 76(2), 105-110. (reimpreso en D. Kahneman, P. Slovic, & A. Tversky (1982) Judgment under uncertainty: Heuristics an biases. Cambridge University Press. Watson, J.M. (2004). Developing reasoning about samples. In D. Ben Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 277-294). Dordrecht, The Netherlands: Kluwer Academic Publishers. Watson, J.M., y Moritz, J.B. (2000). Developing concepts of sampling. Journal for Research in Mathematics Education, 31(1), 44-70. Well, A.D., Pollatsek, A., y Boyce, S.J. (1990). Understanding the effects of sample size on the variability of the mean. Journal of Organizational Behavior and Human Decision Processes, 47(2), 289-312. Wild, C.J., y Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223-265. Wild, C.J., Pfannkuch, M., Regan, M., & Horton, N.J. (2011). Towards more accessible conceptions of statistical inference. Journal of the Royal Statistical Society, 174(2), 247-295.