Skip to main content

Research on Statistical Literacy, Reasoning, and Thinking: Issues, Challenges, and Implications

  • Chapter
The Challenge of Developing Statistical Literacy, Reasoning and Thinking

Summary

This book focuses on one aspect of the “infancy” of the field of statistics education research, by attempting to grapple with the definitions, distinctions, and development of statistical literacy, reasoning, and thinking. As this field grows, the research studies in this volume should help provide a strong foundation as well as a common research literature. This is an exciting time, given the newness of the research area and the energy and enthusiasm of the contributing researchers and educators who are helping to shape the discipline as well as the future teaching and learning of statistics. We point out that there is room for more participants to help define and construct the research agenda and contribute to results. We hope to see many new faces at future gatherings of the international research community, whether at SRTL-4, or 5, or other venues such as the International Conference on Teaching Statistics (ICOTS), International Congresson Mathematical Education (ICME), and the International Group for the Psychology of Mathematics Education (PME).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bakker, A. (2002). Route-type and landscape-type software for learning statistical data analysis. In B. Phillips (Chief Ed.), Developing a Statistically Literate Society: Proceedings of the Sixth International Conference on Teaching Statistics, Voorburg, The Netherlands (CD-ROM).

    Google Scholar 

  • Batanero, C., Garfield, J., Ottaviani, M. G., and Truran, J. (2000). Research in statistical education: Some priority questions. Statistical Education Research Newsletter, 1(2), 2–6.

    Google Scholar 

  • Ben-Zvi, D.(2000). Toward understanding therole of technological tools in statistical learning. Mathematical Thinking and Learning, 2(1&2), 127–155.

    Article  Google Scholar 

  • Bransford, J., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school. Washington, DC: National Academy Press.

    Google Scholar 

  • Bryce, G. B. (2002). Undergraduate statistics education: An introduction and review of selected literature. Journal of Statistics Education, 10(2). Retrieved June 23, 2003 from http://www.amstat.org/publications/jse/v10n2/bryce.html

  • Chance, B. L. (2002). Components of statistical thinking and implications for instruction and assessment. Journal of Statistics Education, 10(3). Retrieved April 7, 2003, from http://www.amstat.org/publications/jse/

  • Cobb, P. (1999). Individual and collective mathematical development: The case of statistical data analysis. Mathematical Thinking and Learning, 1(1), 5–43.

    Article  Google Scholar 

  • Fischbein, E. (1975). The intuitive sources of probabilistic thinking in children. Dordrecht, The Netherlands: D. Reidel.

    Book  MATH  Google Scholar 

  • Fong G. T., Krantz, D. H., & Nisbett, R. E. (1986). The effects of statistical training on thinking about everyday problems. Cognitive Psychology, 18, 253–292.

    Article  Google Scholar 

  • Friel, S. N. (in press). The research frontier: Where technology interacts with the teaching and learning of data analysis and statistics. In M. K. Heid & G. W. Blume (Eds.), Research on technology and the teaching and learning of mathematics: Syntheses and perspectives, vol. 1. Greenwich, CT: Information Age Publishing.

    Google Scholar 

  • Gal, I., & Garfield, J. B. (Eds.). (1997). The assessment challenge in statistics education. Voorburg, The Netherlands: International Statistical Institute.

    Google Scholar 

  • Garfield, J. B., & Burrill, G. (Eds.). (1997). Research on the role of technology in teaching and learning statistics. In Proceedings of the 1996 IASE Round Table Conference, Granada, Spain. Voorburg, The Netherlands: International Statistical Institute.

    Google Scholar 

  • Garfield, J., & Gal, I. (1999). Teaching and assessing statistical reasoning. In L. V. Stiff (Ed.), Developing mathematical reasoning in grades K-12 (NCTM 1999 Yearbook), pp. 207–219. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Joliffe, F. (1998). What is research in statistical education? In L. Pereira-Mendoza, L. Seu Kea, T. Wee Kee, & W. K. Wong (Eds.), Proceedings of the Fifth International Conference on Teaching Statistics, pp. 801–806. Singapore: International Statistical Institute.

    Google Scholar 

  • Kahneman, D., Slovic, P., & Tversky, A. (Eds.). (1982). Judgment under uncertainty: Heuristics and biases. New York: Cambridge University Press.

    Google Scholar 

  • Konold, C. (1989). Informal conceptions of probability. Cognition and Instruction, 6, 59–98.

    Article  Google Scholar 

  • Kelly, A. E., & Lesh, R. A. (Eds.). (2000). Handbook of research design in mathematics and science education. Mahwah, NJ: Erlbaum.

    MATH  Google Scholar 

  • Lajoie, S. P. (Ed.). (1998). Reflections on statistics: Learning, teaching, and assessment in grades K-12. Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Lee, C., Zeleke, A., & Wachtel, H. (2002). Where do students get lost? The concept of variation. In B. Phillips (Chief Ed.), Developing a Statistically Literate Society: Proceedings of the Sixth International Conference on Teaching Statistics. Voorburg: The Netherlands (CD-ROM).

    Google Scholar 

  • Lesh, R. (2002). Research design in mathe matics education: Focusing ondesignexperiments.In L. English (Ed.), International Handbook of Research Design in Mathematics Education. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Mokros, J., & Russell, S. J. (1995). Children’s concepts of a verage and representativeness. Journal for Research in Mathematics Education, 26, 20–39.

    Article  Google Scholar 

  • Moore, D. (1998). Statistics among the liberal arts. Journal of the American Statistical Association, 93, 1253–1259.

    Article  Google Scholar 

  • National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

    Google Scholar 

  • Nisbett, R. (1993). Rules for reasoning. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Piaget, J., & Inhelder, B. (1975). The originof the idea of chance inchildren. London: Routledge & Kegan Paul.

    Google Scholar 

  • Rubin, A., Bruce, B., & Tenney, Y. (1991). 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 (pp. 314–319). Voorburg, The Netherlands: International Statistical Institute.

    Google Scholar 

  • Russell, S. J., & Mokros, J. (1996). What do children understand about average? Teaching Children Mathematics, 2, 360–364.

    Google Scholar 

  • Schau, C., & Mattern, N. (1997). Assessing students’ connected understanding of statistical relationships. In I. Gal & J. B. Garfield (Eds.), The Assessment Challenge in Statistics Education (pp.91–104). Amsterdam, Netherlands: IOS Press.

    Google Scholar 

  • Sedlmeier, P. (1999). Improving statistical reasoning: Theoretical models and practical implications. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Shaughnessy, J. M. (1992). Research in probability and statistics: Reflections and directions. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 465–494). New York: Macmillan.

    Google Scholar 

  • Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory. Thousand Oaks, CA: Sage.

    Google Scholar 

  • Utts, J. (2003). What educated citizens should know about statistics and probability. The American Statistician, 57(2), 74–79.

    Article  MathSciNet  Google Scholar 

  • Voigt, J. (1995). Thematic patterns of interaction and socio-mathematical norms. In P. Cobb & H. Bauersfeld (Eds.), Emergence of mathematical meaning: Interaction in classroom cultures (pp. 163–201). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Wiggins, G. (1998). Understanding by design. Alexandria, VA: ASCD Press.

    Google Scholar 

  • Wisenbaker, J., & Scott, J. (1997). Modelingaspectsofstudents’attitudes and achievement in introductory statistics courses. Paper presented at AERA Annual Meeting, Chicago.

    Google Scholar 

  • Wild, C., Triggs, C., & Pfannkuch, M. (1997). Assessment on abudget: Using traditional methods imaginatively. In I. Gal & J. B. Garfield (Eds.), The Assessment Challenge in Statistics Education. Amsterdam, Netherlands: IOS Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this chapter

Cite this chapter

Garfield, J., Ben-Zvi, D. (2004). Research on Statistical Literacy, Reasoning, and Thinking: Issues, Challenges, and Implications. In: Ben-Zvi, D., Garfield, J. (eds) The Challenge of Developing Statistical Literacy, Reasoning and Thinking. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2278-6_17

Download citation

  • DOI: https://doi.org/10.1007/1-4020-2278-6_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-2277-7

  • Online ISBN: 978-1-4020-2278-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics