Niveles de razonamiento probabilístico de estudiantes de bachillerato frente a tareas de distribución binomial

Referencias

Abrahamson, D. (2009a). Embodied design: constructing means for constructing meaning. Educational Studies in Mathematics, v.70, n.1, pp. 27-47. Abrahamson, D. (2009b). Orchestrating semiotic leaps from tacit to cultural quantitative reasoning –the case of anticipating experimental outcomes of a cuasi-binomial random generator. Cognition and Instruction, v. 27, n. 3, pp. 175-224. Abrahamson, D. (2009c). A student‟s synthesis of tacita and mathematical knowledge as a researcher‟s lens on bridging learning theory. International Electronic Journal of Mathematics Education, v. 4, n. 3, pp.195-226. Recuperado el 22/10/2010 de: www.iejme.com Aoyama, K. (2007). Investigating a hierarchy of students‟ interpretations of graphs. International Electronic Journal of Mathematics Education, v. 4, n. 3, pp. 298-318. Recuperado el 22/10/2010 de: www.iejme.com Batanero, C. y Sánchez, E. (2005). What is the nature of high school student‟s conceptions and misconceptions about probability? En G. A. Jones (ed.), Exploring probability in school: Challenges for teaching and learning, pp. 241-266. New York: Springer. Biggs, J. y Collis, K. (1982). Evaluating the quality of learning. The SOLO taxonomy. Capítulo 2, pp. 17-31. New York: Academic Press Inc. Biggs, J. B. y Collis, K. F. (1991). Multimodal learning and the quality of intelligence behavior. En H. A. Rowe (Ed.), Intelligence: Reconceptualization and measurement, pp. 57-76. Hillsdale, NJ: Lawrence Erlbaum Associates. Chalikias, Miltiadis (2009). The binomial distribution in shooting. Teaching Statistics, v. 31, n. 3, pp. 87-89. Recuperado el 22/10/2009 de: http://www3.interscience.wiley.com/journal. Fischbein, E. y Schnarch, D. (1997). The evolution with age of probabilistic, intuitively based misconceptions. Journal for Research in Mathematics Education, v. 28, n. 1, pp. 96-105. Gal, I. (2005). Towards “probability literacy” for all citizens: building blocks and instruccional dilemmas. En Graham A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning, pp. 39-63. New York: Springer. Garfield, J. B. (2002). The challenge of developing statistical reasoning. Journal of Statistics Education, v. 10, n. 3. Recuperado el 15/11/2010 de: www.amstat.org/publications/jse/v10n3/garfield.html. Garfield, J. y Ben-Zvi (2008). Developing students’ statistical reasoning. New York, USA: Springer Gross, J. (2000). Sharing teaching ideas: A bernoulli investigation. Mathematics Teacher, v. 93, n. 9, p. 756. Jones, G. A., Langrall, C. W. y Mooney, E. S. (2007). Research in probability. En F. K. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning, pp. 909-955. Charlotte, NC, USA: Information Age-NCTM. Jones, G. A., Thornton, C. A., Langrall, C. W. y Tarr, J. E. (1999). Understanding students probabilistic reasoning. En L. V.Stiff & F. R.Curcio (Eds.), Developing mathematical reasoning in grades K-12 (1999 yearbook, pp. 146-155). Reston, VA: National Council of Teachers of Mathematics. Kahneman, D., Slovic, P. y Tversky, A. (1982). Judgement under uncertainty: Heuristics and biases. Cambridge: Cambridge University Press. Langrall, C. W. y Mooney, E. S. (2002). The development of a framework characterizing middle school students‟ statistical thinking. Proceedings of the Sixth International Conference on Teaching Statistics. Recuperado el 13/01/2011 de: http://www.stat.auckland.ac.nz/~iase/publications.php. Maxara, C. y Biehler, R. (2010). Students‟ understanding and reasoning about sample size and the law of large numbers after a computer-intensive introductory course on stochastics. En C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching Statistics (ICOTS 8, July, 2010. Ljubljana, Slovenia). Voorburg, The Netherlands: International Statistical Institute. Reading, C. y Reid, J. (2006). An emerging hierarchy of reasoning about distribution: from a variation perspective. Statistics Education Research Journal, v. 5, n. 2, pp. 4668. Recuperado el 27/10/2009 de: http://www.stat.auckland.ac.nz/serj. Reading, C. y Reid, J. (2007). Reasoning about variation: Student voice. International Electronic Journal of Mathematics Education, v. 2, n. 3, pp. 110-127. Reading, C. y Reid, J. (2010). Reasoning about variation: rethinking theoretical frameworks to inform practice. En C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching Statistics (ICOTS 8, July, 2010. Ljubljana, Slovenia). Voorburg, The Netherlands: International Statistical Institute. Reading, C. y Shaughnessy, J. M. (2004). Reasoning about variation. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical lyteracy, reasoning and thinking, pp. 201-226. Dordrecht, The Netherlands: Kluwer Academic Publishers. Rouncefield, M. (1990). Classroom practicals using the binomial distribution. Proceedings of the Third International Conference on Teaching Statistics (ICOTS 3). Recuperado el 21/10/2009 de: http://www.stat.auckland.ac.nz/~iase/publications.php. Tarr, J. E. y Jones, G. A. (1997). A framework for assessing middle school students‟ thinking in conditional probability and independence. Mathematics Education Research Journal, v. 9, n. 1, pp. 39-59. Van Dooren, W., De Bock, D., Depaepe, F., Janssens, D. y Verschaffel, L. (2003). The illusion of linearity: expanding the evidence towards probabilistic reasoning. Educational Studies in Mathematics, v. 53, n. 2, pp. 113-138. Watson, J. M. y Moritz, J. B. (1999a). The beginning of statistical inference: Comparing two data sets. Educational Studies in Mathematics, v. 37, n. 2, pp. 145-168. Watson, J. M. y Moritz, J. B. (1999b). The development of the concept of average. Focus on Learning Problems in Mathematics, v. 21, n. 4, pp. 15-39.