Skip to main content

Towards "Probability Literacy" for all Citizens: Building Blocks and Instructional Dilemmas

  • Chapter
Exploring Probability in School

Part of the book series: Mathematics Education Library ((MELI,volume 40))

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 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

  • Albert, J. H. (2003). College students' conceptions of probability. The American Statistician, 57(1), 37–45.

    Article  Google Scholar 

  • American Association for the Advancement of Science (1995). Benchmarks for science literacy. Washington, DC: Author.

    Google Scholar 

  • Baker, D., & Street, B. (1994). Literacy and numeracy: Concepts and definitions. In T. Husen & E. A. Postlethwaite (Eds.), Encyclopedia of education (Vol. 6, pp. 3453–3459). New York: Pergamon Press.

    Google Scholar 

  • Baron. J. (2000). Thinking and deciding (3rd ed.). New York: Cambridge University Press.

    Google Scholar 

  • Beltrami, E. (1999). What is random? Chance and order in mathematics and life. New York: Copernicus/Springer-Verlag.

    Google Scholar 

  • Bennett, D. J. (1998). Randomness. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Beyth-Marom, R., & Dekel, S. (1985). An elementary approach to thinking under uncertainty. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Clemen, R., & Gregory, R. (2000). Preparing adult students to be better decision makers. In I. Gal (Ed.), Adult numeracy development: Theory, research, practice (pp. 73–86). Cresskill, NJ: Hampton Press.

    Google Scholar 

  • Cosmides, L., & Tooby, J. (1996). Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgment under uncertainty. Cognition, 58, 1–73.

    Article  Google Scholar 

  • Dessart, D. (1989). Teaching probability and statistics in general secondary education. In R. Morris (Ed.), Studies in mathematics education: The teaching of statistics (pp. 139–154). Paris: UNESCO.

    Google Scholar 

  • Everitt, B. S. (1999). Chance rules: An informal guide to probability, risk, and statistics. New York: Copernicus/Springer-Verlag.

    Google Scholar 

  • Feldman, L. & Morgan, F. (2003). The pedagogy and probability of the dice game HOG. Journal of Statistics Education 11(2). [Online:www.amstat.org/publications/jse/v11n2/feldman.html]

    Google Scholar 

  • Fischhoff, B., Bostrom, A., & Quadrel, M. J. (1993). Risk perception and communication. Annual Review of Public Health, 14, 183–203.

    Article  Google Scholar 

  • Gal, I. (1999). Links between literacy and numeracy. In D. A. Wagner, B. Street, & R. L. Venezky (Eds.), Literacy: An international handbook (pp. 227–231). Boulder, CO: Westview Press.

    Google Scholar 

  • Gal, I. (2000). The numeracy challenge. In I. Gal (Ed.), Adult numeracy development: Theory, research, practice (pp. 9–31). Cresskill, NJ: Hampton Press.

    Google Scholar 

  • Gal, I. (2002a). Adult statistical literacy: Meanings, components, responsibilities, International Statistical Review, 70(1), 1–25.

    Google Scholar 

  • Gal, I. (2002b). Dispositional aspects of coping with interpretive numeracy tasks. Literacy and Numeracy Studies, 11(2), 47–61.

    Google Scholar 

  • Gal, I., & Baron, J. (1996). Understanding repeated simple choices. Thinking and Reasoning, 2(1), 1–18.

    Article  Google Scholar 

  • Gal, I., Ginsburg, L., & Schau, C. (1997). Monitoring attitudes and beliefs in statistics education. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics education (pp. 37–51). Amsterdam: IOS Press.

    Google Scholar 

  • Gal, I., Mahoney, P., & Moore, S. (1992). Children's use of statistical terms. In W. Geeslin & Graham K. (Eds.), Proceedings of the 16th annual meeting of the International Group for Psychology in Mathematics Education (Vol. 3, p. 160). Durham, New Hampshire.

    Google Scholar 

  • Gigerenzer, G., Swijtink, Z., Porter, T., Daston, L., Beatty, J. & Kruger, L. (1989). The empire of chance: how probability changed science and everyday life. New York: Cambridge University Press.

    Google Scholar 

  • Gigerenzer, G., Todd, P. M., & the ABC Research Group (1999). Simple heuristics that make us smart. New York: Oxford University Press.

    Google Scholar 

  • Green, D. (1989). School pupils' understanding of randomness. In R. Morris (Ed.), Studies in mathematics education: The teaching of statistics (pp. 27–39). Paris: UNESCO.

    Google Scholar 

  • Grinstead, C. M., & Snell, L. J. (1997). Introduction to probability (2nd ed.). Washington, DC: American Mathematical Society. [Online:http://www.dartmouth.edu/~chance].

    Google Scholar 

  • Halliday, M. A. K. (1979). Language as social semiotic: The social interpretation of language and meaning. London: Edward Arnold Publishers Ltd.

    Google Scholar 

  • Hirsch, E. D., Kett, J. F., & Trefil, J. (2002). The new dictionary of cultural literacy, (3rd ed.). New York: Houghton Mifflin.

    Google Scholar 

  • Johnston, B. (1999). Adult numeracy. In D. A. Wagner, R. L. Venezky, & B. V. Street (Eds.), Literacy: An international handbook (pp. 242–247). Boulder, CO: Westview Press.

    Google Scholar 

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

    Google Scholar 

  • Keeler, C., & Steinhorst, K. (2001). A new approach to learning probability in the first statistics course. Journal of Statistics Education, 9(3). [Online: www.amstat.org/publications/jse/v9n3/keeler.html]

    Google Scholar 

  • Kilpatrick, J. (2001). Understanding mathematical literacy: The contribution of research. Educational Studies in Mathematics 47(1), 101–116.

    Article  Google Scholar 

  • Konold, C. (1991). Understanding students' beliefs about probability. In E. von Glaserfeld (Ed.), Radical constructivism in mathematics education (pp. 139–156), Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Lovett, M. C., & Greenhouse, J. B. (2000). Applying cognitive theory to statistics instruction. The American Statistician, 54(3), 196–206.

    Article  Google Scholar 

  • McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization, In D. A. Grouws (Ed), Handbook of research on mathematics teaching and learning pp (pp. 575–596). New York: Macmillan.

    Google Scholar 

  • Moore, D. S. (1990). Uncertainty. In L. A. Steen (Ed.), On the shoulders of giants: New approaches to numeracy (pp. 95–137). Washington, DC: National Academy Press.

    Google Scholar 

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

    Google Scholar 

  • Nutbeam, D. (2000). Health literacy as a public health goal: A challenge for contemporary health education and communication strategies into the 21st century. Health Promotion International, 15(3), 259–267.

    Article  Google Scholar 

  • Packer, A. (1997). Mathematical Competencies that employers expect. In L. A. Steen (Ed.), Why numbers count: quantitative literacy for tomorrow's America (pp. 137–154). New York: The College Board.

    Google Scholar 

  • Paulos, J. A. (1995). A mathematician reads the newspaper. New York: Anchor Books/Doubleday.

    Google Scholar 

  • Peterson, I. (1998). The jungles of randomness: A mathematical safari. New York: Wiley.

    Google Scholar 

  • Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge.

    Google Scholar 

  • Rutherford, J. F. (1997). Thinking quantitatively about science. In L. A. Steen (Ed.), Why numbers count: quantitative literacyfor tomorrow's America (pp. 60–74). New York: The College Board.

    Google Scholar 

  • Rutherford, J. F., & Ahlgren, A. (1990). Sciencefor all Americans. New York: Oxford University Press.

    Google Scholar 

  • Rychen, D. S., & Salganic, L. H. (Eds) (2003). Key competencies for a successful life and a well-functioning society. Gottingen, Germany: Hogrefe & Huber.

    Google Scholar 

  • Scheaffer, R. L., Watkins, A. E., & Landwehr, J. M. (1998). What every high-school graduate should know about statistics. In S. P. Lajoie (Ed.), Reflections on statistics: Learning, teaching and assessment in Grades K-12 (pp. 3–31). Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Secretary of Labor's Commission on Achieving Necessary Skills (SCANS). (1991). What work requires ofschools: A SCANS reportfor America 2000. Washington, DC: U.S. Government Printing Office.

    Google Scholar 

  • Shamos, M. H. (1995). The myth ofscientific literacy. New Brunswick, NJ: Rutgers University Press.

    Google Scholar 

  • Snell, L. J. (1988). Introduction toprobability. New York: Random House.

    Google Scholar 

  • Snell, L. J. (2002). But how do you teach it? International Statistical Review, 70(1), 45–46.

    Google Scholar 

  • Steen, L. A. (2001). Mathematics and democracy: The casefor quantitative literacy. Washington, DC: Woodrow Wilson National Fellowship Foundation.

    Google Scholar 

  • Stein, S. (2000). Equipped for the future content standards: What adults need to know and be able to do in the 21st century. Washington, DC: National Institute for Literacy. [Online: www.nifl.gov/lincs/collections/eff/eff_publications.html]

    Google Scholar 

  • Thistlewaite, L. L. (1990). Critical reading for at-risk students. Journal of Reading, 33(8), 586–593.

    Google Scholar 

  • Utts, J. (1996). Seeing through statistics. Belmont, CA: Wadsworth.

    Google Scholar 

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

    Article  Google Scholar 

  • Venezky, R. L. (1990). Definitions of literacy. In R. L. Venezky, D. A. Wagner, & B. S. Ciliberti (Eds.), Towards defining literacy (pp. 2–16). Newark, DE: International Reading Association.

    Google Scholar 

  • Wallman, K. K. (1993). Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, 88, 1–8.

    Article  Google Scholar 

  • Wallsten, T. S., Budescu, D. V., Rapoport, A., Zwick, R., & Forsyth, B. (1986). Measuring the vague meanings of probability terms. Journal of Experimental Psychology: General, 115(4), 348–365.

    Article  Google Scholar 

  • Wallsten, T. S., Fillenbaum, S., & Cox, J. A. (1986). Base rate effects on the interpretations of probability and frequency expressions. Journal of Memory and Language, 25, 571–587.

    Article  Google Scholar 

  • Watson, J. (1997). Assessing statistical literacy through the use of media surveys. In I. Gal & J. Garfield, (Eds.), The assessment challenge in statistics education (pp. 107–121). Amsterdam, The Netherlands: International Statistical Institute/IOS Press.

    Google Scholar 

  • Watson, J. M., & Callingham, R. (2003). Statistical literacy: A complex hierarchical construct. Statistics Education Research Journal, 2(2), 3–46.

    Google Scholar 

  • Yates, F. J. (2001). Outsider impressions of naturalistic decision making. In E. Salas & Klein G. (Eds). Linking expertise and naturalistic decision making (pp. 9–33). Mahwah, NJ: Erlbaum.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

Gal, I. (2005). Towards "Probability Literacy" for all Citizens: Building Blocks and Instructional Dilemmas. In: Jones, G.A. (eds) Exploring Probability in School. Mathematics Education Library, vol 40. Springer, Boston, MA. https://doi.org/10.1007/0-387-24530-8_3

Download citation

Publish with us

Policies and ethics