Statistical reasoning learning environment
Tipo de documento
Autores
Lista de autores
Ben-Zvi, Dani
Resumen
This article describes a model for an interactive inquiry-based statistics learning environment that is designed to develop students’ statistical reasoning. This model is called a “Statistical Reasoning Learning Environment” (SRLE) and is built on the socio-constructivist theory of learning and teaching. This model is based on six principles of instructional design: fundamental statistical ideas, motivating real data sets, inquiry- and data-based classroom activities, innovative technological tools, classroom norms, and alternative assessment. Two examples of SRLEs are briefly discussed.
Fecha
2011
Tipo de fecha
Estado publicación
Términos clave
Constructivismo | Estadística | Gestión de aula | Razonamiento
Enfoque
Nivel educativo
Idioma
Revisado por pares
Formato del archivo
Volumen
2
Número
2
Rango páginas (artículo)
1-13
ISSN
21779309
Referencias
Ben-Zvi, D. (2006). Scaffolding students’ informal inference and argumentation. In A. Rossman, & B. Chance (Eds.), Proceedings of the Seventh International Conference on Teaching Statistics [CD]. Voorburg, The Netherlands: International Association for Statistics Education. Ben-Zvi, D., & Garfield, J. (Editors) (2004). The challenge of developing statistical literacy, reasoning, and thinking. Dordrecht, the Netherlands: Kluwer Academic Publishers. Ben-Zvi, D., Gil, E., & Apel, N. (2007). What is hidden beyond the data? Helping young students to reason and argue about some wider universe. In D. Pratt, & J. Ainley (Eds.), Reasoning about informal statistical inference: A collection of current research studies. Proceedings of the Fifth International Forum for Research on Statistical Reasoning, Thinking, and Literacy. Biehler, R., Ben-Zvi, D., Bakker, A., & Makar, K. (in press). Technological advances in developing statistical reasoning at the school level. In A.J. Bishop, M.A. Clement, C. Keitel, J. Kilpatrick and F.K.S. Leung, (Eds.), Third international handbook on mathematics education. New York: Springer. Bransford, J., Brown, A. L., & Cocking, R. R. (Eds.) (2000). How people learn: Brain, mind, experience, and school. Washington, DC: National Academy Press. Brown, A. L., & Campione, J. C. (1994). Guided discovery in a community of learners. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 229–270). Cambridge, MA: MIT Press. Burrill, G, & Biehler, R. (2011). Fundamental statistical ideas in the school curriculum and in training teachers. In C. Batanero, G. Burrill, and C. Reading (Eds.), Teaching statistics in school mathematics-challenges for teaching and teacher education (A Joint ICMI/IASE Study, The 18th ICMI Study) (pp. 57-69). Springer. Chance, B., Ben-Zvi, D., Garfield, J., & Medina, E. (2007, October). The role of technology in improving student learning of statistics. Technology Innovations in Statistics Education Journal, 1(1). Retrieved October 19, 2011, from http://repositories.cdlib.org/uclastat/cts/tise/vol1/iss1/art2/ Cobb, P. (1994). Where is the mind? Constructivist and sociocultural perspectives on mathematical development. Educational Researcher, 23(7), 13-20. Cobb, P., & McClain, K. (2004). Principles of instructional design for supporting the development of students’ statistical reasoning. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 375–396). Dordrecht, The Netherlands: Kluwer Academic Publishers. Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3/4), 175-190. Franklin, C., & Garfield, J. (2006). The Guidelines for Assessment and Instruction in Statistics Education (GAISE) project: Developing statistics education guidelines for pre K-12 and college courses. In G.F. Burrill, (Ed.), Thinking and reasoning about data and chance: Sixty-eighth NCTM Yearbook (pp. 345-375). Reston, VA: National Council of Teachers of Mathematics. Garfield, J., & Ben-Zvi, D. (2007). How students learn statistics revisited: A current review of research on teaching and learning statistics. International Statistical Review, 75(3), 372–396. Garfield, J., & Ben-Zvi, D. (2008). Developing Students’ Statistical Reasoning: Connecting Research and Teaching Practice. Dordrecht, The Netherlands: Springer. Garfield, J., & Franklin, C. (2011). Assessment of learning, for learning, and as learning in statistics education. In C. Batanero, G. Burrill, and C. Reading (Eds.), Teaching statistics in school mathematics-challenges for teaching and teacher education (A Joint ICMI/IASE Study, The 18th ICMI Study) (pp. 133–145). Springer. Gil, E., & Ben-Zvi, D. (2011). Explanations and context in the emergence of students' informal inferential reasoning. Mathematical Thinking and Learning, 13(1), 87-108. Hall, J. (2011). Engaging teachers and students with real data: Benefits and challenges. In C. Batanero, G. Burrill, and C. Reading (Eds.), Teaching statistics in school mathematics-challenges for teaching and teacher education (A Joint ICMI/IASE Study, The 18th ICMI Study) (pp. 335–346). Springer. Konold, C., & Miller, C. (2005). TinkerPlots. Data analysis software for middle school curricula. Emeryville, CA: Key Curriculum Press. Makar, K., Bakker, A., & Ben-Zvi, D. (2011). The reasoning behind informal statistical inference. Mathematical Thinking and Learning, 13(1), 152-173. McKeachie, W. J., & Svinicki, M. (2010). Teaching tips: Strategies, research, and theory for college and university teachers (13th Edition). Boston: Houghton Mifflin. Moore, D. (1990). Uncertainty. In L. Steen (Ed.) On the shoulders of giants: New approaches to numeracy (pp. 95–137). Washington, DC: National Academy Press. Pfannkuch, M., & Ben-Zvi, D. (2011). Developing teachers’ statistical thinking. In C. Batanero, G. Burrill, and C. Reading (Eds.), Teaching statistics in school mathematics-challenges for teaching and teacher education (A Joint ICMI/IASE Study, The 18th ICMI Study) (pp. 323–333). Springer. Piaget, J. (1972). Science of education and the psychology of the child. New York: The Viking Press. Piaget, J. (1978). Success and understanding. Cambridge MA: Harvard University Press. Roseth, C. J., Garfield, J. B., & Ben-Zvi, D. (2008). Collaboration in learning and teaching statistics. Journal of Statistics Education, 16(1). Retrieved October 19, 2011, from http://www.amstat.org/publications/jse/v16n1/roseth.pdf Vygotsky, L. (1978). Mind in society. Cambridge, MA: Harvard University Press. Wild, C. J., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry (with discussion). International Statistical Review, 67(3), 223-265. Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458- 477.