The Challenge of Developing Statistical Reasoning

References

• Chance, B., delMas, R., and Garfield, J. (in press) “Developing reasoning about sampling distributions,” in The Challenge of Developing Statistical Literacy, Reasoning and Thinking, eds. D. Ben-Zvi and J. Garfield, Dordrecht, The Netherlands: Kluwer Publishers.
   Google Scholar
• Chervaney, N., Benson, P.G., and Iyer, R. (1980), “The planning stage in statistical reasoning,” The American Statistician, 34, 222–226.
   Web of Science ®Google Scholar
• Chervaney, N., Collier, R. Fienberg, S., Johnson, P, and Neter, J. (1977), “A framework for the development of measurement instruments for evaluating the introductory statistics course,” The American Statistician, 31, 17–23.
   Web of Science ®Google Scholar
• delMas, R. (2001), “What makes the standard deviation larger or smaller?” Statistics Teaching and Resource Library [Online]. (www.starlibrary.net)
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (1998), “Assessing the effects of a computer microworld on statistical reasoning,” in Proceedings of the Fifth International Conference on Teaching Statistics, ed. L. Pereira-Mendoza, Voorburg, The Netherlands: International Statistical Institute, 1083–1090.
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (1999), “A Model of Classroom Research in Action: Developing Simulation Activities to Improve Students' Statistical Reasoning,” Journal of Statistics Education [Online], 7(3). (ww2.amstat.org/publications/jse/secure/v7n3/delmas.cfm)
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (2001), “Validating types of reasoning about sampling distributions,” Presentation at the Second International Research Forum on Statistical Reasoning, Thinking and Literacy, Armidale, Australia.
   Google Scholar
• Gal, I., and Garfield, J. (eds.) (1997), The Assessment Challenge in Statistics Education, Amsterdam: IOS Press and the International Statistical Institute.
   Google Scholar
• Garfield, J. (1998a), “Challenges in Assessing Statistical Reasoning,” Paper presented at the American Educational Research Association annual meeting, San Diego, CA.
   Google Scholar
• Garfield, J. (1998b), “The Statistical Reasoning Assessment: Development and Validation of a Research Tool,” in Proceedings of the Fifth International Conference on Teaching Statistics, ed. L. Pereira-Mendoza, Voorburg, The Netherlands: International Statistical Institute, 781–786.
   Google Scholar
• Garfield, J., and Ahlgren, A. (1988), “Difficulties in learning basic concepts in statistics: Implications for research,” Journal for Research in Mathematics Education, 19, 44–63.
   Web of Science ®Google Scholar
• Garfield, J., and Chance, B. (2000), “Assessment in Statistics Education: Issues and Challenges,” Mathematics Thinking and Learning, 2, 99–125.
   Google Scholar
• Garfield, J., and Gal, I. (1999), “Teaching and Assessing Statistical Reasoning,” in Developing Mathematical Reasoning in Grades K-12, ed. L. Stiff, Reston, VA: National Council Teachers of Mathematics, 207–219.
   Google Scholar
• Hawkins, A., Jolliffe, F., and Glickman, L. (1992), Teaching Statistical Concepts, London: Longman Publishers.
   Google Scholar
• Jones, G. A., Langrall, C. W., Thornton, C. A., and Mogill, A. T. (1997), “A framework for assessing and nurturing young children's thinking in probability,” Educational Studies in Mathematics, 32, 101–125.
   Google Scholar
• Jones, G. A., Thornton, C. A., Langrall, C. W., Putt, I. J., and Perry, B. (1998), “A framework for assessing and fostering students' statistical thinking,” Manuscript submitted for publication.
   Google Scholar
• Kahneman, D., Slovic, P. and Tversky, A. (1982), Judgement Under Uncertainty: Heuristics and Biases, Cambridge, UK: Cambridge University Press.
   Google Scholar
• Konold, C. (1989), “Informal conceptions of probability,” Cognition and Instruction, 6, 59–98.
   Web of Science ®Google Scholar
• Lecoutre, M. P. (1992), “Cognitive models and problem spaces in ‘purely random’ situations,” Educational Studies in Mathematics, 23, 557–568.
   Google Scholar
• Lovett, M. (2001), “A collaborative convergence on studying reasoningprocesses: A case study in statistics,” Cognition and Instruction: Twenty-Five Years of Progress, eds. D. Klahr and S. Carver, Mahwah, NJ: Lawrence Erlbaum, 347–384.
   Google Scholar
• Nisbett, R. (1993), Rules for Reasoning, Mahwah, NJ: Lawrence Erlbaum.
   Google Scholar
• Rossman, A. J., and Chance, B. L. (2001), Workshop Statistics: Discovery with Data, New York: Springer Verlag.
   Google Scholar
• Scheaffer, R., Gnanadesikan, M., Watkins, A., and Witmer, J. (1996), Activity-Based Statistics: Instructor Resources, New York: Springer Verlag.
   Google Scholar
• Sedlmeier, P. (1999), Improving Statistical Reasoning: Theoretical Models and Practical Implication, Mahwah, NJ: Lawrence Erlbaum.
   Google Scholar
• Tarr, J. E., and Jones, G. A. (1997), “A framework for assessing middle school students' thinking in conditional probability and independence,” Mathematics Education Research Journal, 9, 39–59.
   Google Scholar