Un Acercamiento Informal a La Inferencia Estadística Mediante Un Ambiente Computacional Con Estudiantes De Bachillerato
Resumen
En el trabajo se presentan resultados de una investigación sobre un acercamiento informal al estudio de la inferencia estadística a través de un ambiente computacional en contexto de datos reales. Como consecuencia de las características dinámicas y multirepresentacionales del software utilizado y la propuesta didáctica diseñada, los estudiantes desarrollaron ideas intuitivas y un razonamiento informal adecuado sobre conceptos que son cruciales en el estudio de la inferencia estadística, tales como variabilidad muestral, efecto del tamaño de muestra en la estimación de un parámetro poblacional y estimaciones informales de intervalos de confianza. En general, los resultados señalan que este enfoque informal puede ayudar a los estudiantes de bachillerato a mejorar el razonamiento inferencial previo al estudio de los métodos formales de inferencia.
Palabras clave
Texto completo:
PDFReferencias
Ben-Zvi, D. (2006). Scaffolding students’ informal inference and argumentation. En A. Rossman y B. Chance (Eds.), Proceedings of the Seventh International Conference on Teaching Statistics, Salvador Bahía, Brazil. [CD-ROM].Voorburg, The Netherlands: International Statistical Institute.
Canal, G. y Behar, R. (2010).The confidence intervals: a difficult matter, even for experts. En C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society, Proceedings of the Eighth International Conference on Teaching Statistics. Ljubljana, Slovenia. Voorburg, The Netherlands: International Statistical Institute.
Castro Sotos, A. L., Vanhoof, S., Van den Noortgate, W. y Onghena, P. (2007). Students’ misconceptions of statistical inference: A review of the empirical evidence from research on statistics education. Educational Research Review 2, 98-113.
Coob, G. W. y Moore, D. S. (1997). Mathematics, Statistics and Teaching.The American Mathematical Monthly, 104(9), 801-823.
Dörfler, W. (1993). Computer use and views of the mind.En Ch. Keitel y K. Ruthven (Eds.). Learning from Computers: Mathematics Education and Technology. Nueva York: Springer Verlag.
Finzer, W.; Erickson, T. y Binker, J. (2002). Fathom Dynamic Statistics Software. Emeryville, CA: Key Curriculum Press Technologies.
Garfield, J., Joan, B. y Ben-Zvi, D. (2008). Developing Students’ Statistical Reasoning. Connecting Research and Teaching Practice.The Netherlands: Springer.
Inzunza, S. (2006). Meanings´Construction about sampling Distributions in a Dynamic Statistics Environment. Proceedings of the Seventh International Conference on Teaching Statistics, Salvador Bahía, Brazil.[CD-ROM]. Voorburg, The Netherlands: International Statistical Institute.
Inzunza, S. (2008). Probability Calculus and Connections between Empirical and Theoretical Distributions through Computer Simulation.Proceedings of the 11th International Congress on Mathematical Education.Monterrey México.
Inzunza, S. (2010). Entornos virtuales de aprendizaje: Un enfoque alternativo para la enseñanza y aprendizaje de la inferencia estadística. Revista Mexicana de Investigación Educativa, 15(45), 423-452.
Inzunza, S. (2010).High School Teachers´ Reasoning about Data Analysis in a Dynamics Statistical Environment.Proceedings of the Eighth International Conference on Teaching Statistics.Ljubljana, Slovenia. Voorburg, The Netherlands: International Statistical Institute.
Inzunza, S. (2011). Desarrollo del Razonamiento Estadístico con TinkerPlots. Memorias de la XIII Conferencia Interamericana de Educación Matemática. Recife Brazil.
Konold, C. y Miller, C. (2005). TinkerPlots Dynamic Data Exploration Software. Emeryville, CA: Key Curriculum Press Technologies.
Lipson, K. (2000). The Role of the Sampling Distribution in Developing Understanding of Statistical Inference.(Tesis Doctoral no publicada).Swinburne University of Technology.
Liu, Y. y Thompson, P. W. (2005). Teachers' understanding of hypothesis testing. En S. Wilson (Ed.), Proceedings of the Twenty-seventh Annual Meeting of the International Group for the Psychology of Mathematics Education, Roanoke, VA.Vicksburg, VA: Virginia Tech.
Makar, K., y Rubin, A. (2007). Beyond the bar graph: Teaching informal statistical inference in primary school. Proceedings of the Fifth International Research Forum on Statistical Reasoning, Thinking, and Literacy (SRTL-5), University of Warwick, UK.
Meletiou-Mavrotheris, M. (2004). Technological tools in the introductory statistics classroom: effects on student understanding of inferential statistics. International Journal of Computers for Mathematical Learning, 8(3), 265-297.
NCTM (2000).Principles and Standards for School Mathematics. Reston VA: National Council of Teachers of Mathematics.
Pea, R. (1987).Cognitive Technologies for Mathematics Education. En A. Schoenfeld (Ed.) Cognitive Science and Mathematics Education, (pp. 89-122). Lawrence Erlbaum Associates Publishers.
Pfannkuch M. (2005). Probability and statistical inference: how can teachers enable learners to make the connections?. En G. A. Jones (Ed.). Exploring Probability in School.Challenges for Teaching and Learning (pp. 267-294).Mathematics Education Library, Springer Science+Business Media Inc. New York N.Y.
Pfannkuch, M. (2006). Informal inferential reasoning. En A. Rossman y B. Chance (Eds.). Proceedings of the Seventh International Conference on Teaching Statistics, Salvador Bahía, Brazil. [CD-ROM]. Voorburg, The Netherlands: International Statistical Institute.
Pratt, D., Johnston-Wilder, P., Ainley, J., y Mason, J. (2008). Local and global thinking in statistical inference.Statistics Education Research Journal, 7(2), 107-129.
Rubin, A., Hammerman, J. y Konold, C. (2006). Exploring informal inference with interactive visualization software. En A. Rossman y B. Chance (Eds.).Proceedings of the Seventh International Conference on Teaching Statistics, Salvador Bahía, Brazil.[CD-ROM].Voorburg, The Netherlands: International Statistical Institute.
Vallecillos, A., & Batanero, C. (1997). Conceptos activados en el contraste de hipótesis estadísticas y su comprensión por estudiantes universitarios. Recherches en Didactique des Mathematiques, 17, 29–48.
Zieffler, A., Garfield, J., del Mas, R., y Reading, C. (2008). A framework to support research on informal inferential reasoning. Statistics Education Research Journal, 7(2), 40-58.