Classroom Research: Assessment of Student Understanding of Sampling Distributions of Means and the Central Limit Theorem in Post-Calculus Probability and Statistics Classes

References

• Ball, D. L. (2000), “Working on the Inside: Using One's Own Practice as a Site for Studying Teaching and Learning,” in Handbook of Research Design in Mathematics and Science Education, eds. Kelly, A. E., and Lesh, R. A., pp. 365–401, Lawrence Erlbaum Publishers, Mahwah, NJ.
   Google Scholar
• delMas, R. (2002), Sampling SIM, version 5.4 [On line]. www.gen.umn.edu/research/stat_tools/
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (1999a), “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. (1999b), “Exploring the Role of Computer Simulations in Developing Understanding of Sampling Distributions,” paper presented at the 1999 American Educational Research Association Annual Meeting, [Online]. www.tc.umn.edu/~delma001/stat_tools/
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (1999c), “The Role of Assessment in Research on Teaching and Learning Statistics,” paper presented at the 1999 American Educational Research Association Annual Meeting, [Online]. www.tc.umn.edu/~delma001/stat_tools/
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. (2002), “Assessment as a Means of Instruction,” paper presented at the 2002 Joint Mathematics Meetings, [Online]. www.tc.umn.edu/~delma001/stat_tools/
   Google Scholar
• Feldman, A. and Minstrell, J. (2000), “Action Research as a Research Methodology for the Study and Teaching of Science,” in Handbook of Research Design in Mathematics and Science Education, eds. Kelly, A. E., and Lesh, R. A., pp. 429–456, Lawrence Erlbaum Publishers, Mahwah, NJ.
   Google Scholar
• Garfield, J. (2001), Evaluating the Impact of Educational Reform in Statistics: A Survey of Introductory Statistics Courses. Final report for National Science Foundation grant REC-9732404. Minneapolis, MN.
   Google Scholar
• Garfield, J., delMas, R., and Chance, B. (2000), Tools for Teaching and Assessing Statistical Inference, [Online]. www.gen.umn.edu/research/stat_tools/
   Google Scholar
• Garfield, J., delMas, R., and Chance, B. (2002), ARTIST: Assessment Resource Tools for Improving Statistical Thinking, [Online]. www.gen.umn.edu/artist/
   Google Scholar
• Hogg, R.V., and Tanis, E.A. (2001), Probability and Statistical Inference, 6th Edition, New Jersey: Prentice Hall.
   Google Scholar
• Lee, C., and Meletiou-Mavrotheris, M., (2003), “Some Difficulties of Learning Histograms in Introductory Statistics,” in 2003 Proceedings of the American Statistical Association, Statistics Education Section [CD-ROM], pp. 2326–2333. Alexandria, VA: American Statistical Association.
   Google Scholar
• Lunsford, M. L., Goodson-Espy, T. J., and Rowell, G. H. (2002), Collaborative Research: Adaptation and Implementation of Activity and Web-Based Materials into Post-Calculus Introductory Probability and Statistics Courses, funded by the Course, Curriculum, and Laboratory Improvement program of the National Science Foundation, awards DUE-0126600, DUE-0126716, DUE-0350724, DUE-126401, [Online]. www.mathspace.com/NSF_ProbStat/
   Google Scholar
• Meletiou-Mavrotheris, M. and Lee, C. (2002), “Teaching Students the Stochastic Nature of Statistical Concepts in an Introductory Statistics Course,” Statistics Education Research Journal, 1 (2), 22–37.
   Google Scholar
• Mills, J. D. (2002), “Using Computer Simulation Methods to Teach Statistics: A Review of the Literature,” Journal of Statistics Education [Online] 10 (1). ww2.amstat.org/publications/jse/v10n1/mills.html
   Google Scholar
• Noffke, S., and Stevenson, R. (eds.) (1995), Educational Action Research, New York: Teachers College Press.
   Google Scholar
• Nolan, D. and Speed, T. (2000), Stat Labs: Mathematical Statistics Through Application, New York: Springer-Verlag.
   Google Scholar
• Parsons, R. and Brown, K. (2002), Teacher as Reflective Practitioner and Action Researcher, California: Wadsworth/Thomson Learning.
   Google Scholar
• Pfannkuch, M. and Brown, C. (1996), “Building On and Challenging Students' Intuitions about Probability: Can We Improve Undergraduate Learning?” Journal of Statistics Education [Online], 4 (1). ww2.amstat.org/publications/jse/v4n1/pfannkuch.html
   Google Scholar
• Rossman, A. and Chance, B. (2002), “A Data-Oriented, Active Learning, Post-Calculus Introduction To Statistical Concepts, Methods, And Theory,” paper presented at International Congress On Teaching Statistics 2002, retrieved July 9, 2005, at www.rossmanchance.com/iscat/ICOTSpaper02.htm
   Google Scholar
• Rossman, A. and Chance, B. (2006), Investigating Statistical Concepts, Applications, and Methods, New York: Thomson Brooks/Cole.
   Google Scholar
• Rossman, A., Chance, B., and Ballman, K. (1999), A Data-Oriented, Active Learning, Post-Calculus Introduction to Statistical Concepts, Methods, and Theory (SCMT), funded by the Course, Curriculum, and Laboratory Improvement program of the National Science Foundation, award #DUE-9950476, [Online]. www.rossmanchance.com/iscat/
   Google Scholar
• Rowell, G., Lunsford L., and Goodson-Espy, T. (2003), “An Application of the Action Research—Model,” in 2003 Proceedings of the American Statistical Association, Statistics Education Section [CD-ROM], 3568–3571, Alexandria, VA: American Statistical Association.
   Google Scholar
• Schau, C. (1999), Survey of Attitudes Towards Statistics, [Online]. www.unm.edu/~cschau/viewsats.htm
   Google Scholar
• Schau, C. (2003, August), Students' Attitudes: The “Other” Important Outcome in Statistics Education, Joint Statistical Meetings, San Francisco, CA.
   Google Scholar
• Siegrist, K. (1997), Virtual Laboratories in Probability and Statistics, funded by the Course, Curriculum, and Laboratory Improvement program of the National Science Foundation, award DUE-9652870, [Online]. www.math.uah.edu/stat
   Google Scholar
• Terrell, G. (1999), Mathematical Statistics: A Unified Introduction, New York: Springer-Verlag.
   Google Scholar
• Tobin, K. (2000), “Interpretive Research in Science Education,” in Handbook of Research Design in Mathematics and Science Education, eds. Kelly, A. E., and Lesh, R. A., pp. 487–512, Lawrence Erlbaum Publishers, Mahwah, NJ.
   Google Scholar
• Utts, J., Sommer, B., Acredolo, C., Maher, M., and Matthews, H. (2003), “A Study Comparing Traditional and Hybrid Internet-Based Instruction in Introductory Statistics Classes,” Journal of Statistics Education [Online] 11 (3). ww2.amstat.org/publications/jse/v11n3/utts.html
   Google Scholar