Simulation Methods for Teaching Sampling Distributions: Should Hands-on Activities Precede the Computer?

References

• Beckman, M. D., DelMas, R. C., and Garfield, J. (2017), “Cognitive Transfer Outcomes for a Simulation-Based Introductory Statistics Curriculum,” Statistics Education Research Journal, 16, 419–440.
   Google Scholar
• Chance, B., Ben-Zvi, D., Garfield, J., and Medina, E. (2007), “The Role of Technology in Improving Student Learning of Statistics,” Technology Innovations in Statistics Education, 1. Available at https://doi.org/https://escholarship.org/uc/item/8sd2t4rr.
   Google Scholar
• Chance, B., delMas, R. C., and Garfield, J. (2004), “Reasoning About Sampling Distributions,” in The Challenge of Developing Statistical Literacy, Reasoning and Thinking, eds. D. Ben-Zvi and J. Garfield, Dordrecht: Springer, pp. 295–323.
   Google Scholar
• Chance, B., Garfield, J., and delMas, R. (2000), Developing Simulation Activities to Improve Students’ Statistical Reasoning, Auckland, New Zealand: Aukland University of Technology.
   Google Scholar
• delMas, R., Garfield, J., and Chance, B. L. (1999), “A Model of Classroom Research in Action: Developing Simulation Activities to Improve Students’ Statistical Reasoning,” Journal of Statistics Education, 7.
   Google Scholar
• delMas, R., Garfield, J., and Ooms, A. (2007), “Assessing Students’ Conceptual Understanding After a First Course in Statistics,” Statistics Education Research Journal, 6, 28–58. Available at https://doi.org/http://jse.amstat.org/secure/v7n3/delmas.cfm.
   Google Scholar
• Dyck, J. L., and Gee, N. R. (1998), “A Sweet Way to Teach Students About the Sampling Distribution of the Mean,” Teaching of Psychology, 25, 192–195.
   Web of Science ®Google Scholar
• GAISE College Report ASA Revision Committee (2016), “Guidelines for Assessment and Instruction in Statistics Education College Report 2016,” Technical Report.
   Google Scholar
• Garfield, J., and Ben-Zvi, D. (2007), “How Students Learn Statistics Revisited: A Current Review of Research on Teaching and Learning Statistics,” International Statistical Review/Revue Internationale de Statistique, 75, 372–396.
   Web of Science ®Google Scholar
• Garfield, J., delMas, R., Chance, B., and Ooms, A. (2006), “Assessment Resource Tools for Improving Statistical Thinking (ARTIST) Scales and Comprehensive Assessment of Outcomes in a First Statistics Course (CAOS) Test,” available at https://doi.org/https://apps3.cehd.umn.edu/artist/caos.html.
   Google Scholar
• Gourgey, A. F. (2000), “A Classroom Simulation Based on Political Polling to Help Students Understand Sampling Distributions,” Journal of Statistics Education, 8. Available at https://doi.org/http://jse.amstat.org/secure/v8n3/gourgey.cfm.
   Google Scholar
• Gupta, S. K. (2011), “Intention-to-Treat Concept: A Review,” Biostatistics, 2, 109–112.
   Google Scholar
• Hodgson, T. (1996), “The Effects of Hands-on Activities on Students’ Understanding of Selected Statistical Concepts,” in Proceedings of the Eighteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Columbus, OH, pp. 241–246. ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
   Google Scholar
• Lane, D. M. (2015), “Simulations of the Sampling Distribution of the Mean Do Not Necessarily Mislead and Can Facilitate Learning,” Journal of Statistics Education, 23. Available at https://doi.org/10.1080/10691898.2015.11889738.
   Google Scholar
• McCoy, E. C. (2017), “Understanding the Intention-to-Treat Principle in Randomized Controlled Trials,” Western Journal of Emergency Medicine, 18, 1075–1078.
   PubMed Web of Science ®Google Scholar
• Meletiou-Mavrotheris, M. (2003), “Technological Tools in the Introductory Statistics Classroom: Effects on Student Understanding of Inferential Statistics,” International Journal of Computers for Mathematical Learning, 8, 265–297.
   Google Scholar
• Mills, J. D. (2002), “Using Computer Simulation Methods to Teach Statistics: A Review of the Literature,” Journal of Statistics Education, 10. Available at https://doi.org/10.1080/10691898.2002.11910548.
   Google Scholar
• Pfaff, T. J., and Weinberg, A. (2009), “Do Hands-on Activities Increase Student Understanding?: A Case Study,” Journal of Statistics Education, 17. Available at https://doi.org/10.1080/10691898.2009.11889536.
   PubMedGoogle Scholar
• Saldanha, L., and Thompson, P. (2007), “Exploring Connections Between Sampling Distributions and Statistical Inference: An Analysis of Students’ Engagement and Thinking in the Context of Instruction Involving Repeated Sampling,” International Electronic Journal of Mathematics Education, 2, 270–297.
   Google Scholar
• Schwarz, C. J., and Sutherland, J. (1997), “An On-Line Workshop Using a Simple Capture-Recapture Experiment to Illustrate the Concepts of a Sampling Distribution,” Journal of Statistics Education, 5. Available at https://doi.org/10.1080/10691898.1997.11910523.
   Google Scholar
• Sotos, A. E. C., Vanhoof, S., Van den Noortgate, W., and Onghena, P. (2007), “Students’ Misconceptions of Statistical Inference: A Review of the Empirical Evidence From Research on Statistics Education,” Educational Research Review, 2, 98–113.
   Google Scholar
• Utts, J. M., and Heckard, R. F. (2015), Mind on Statistics (5th ed.), Boston, MA: Cengage.
   Google Scholar
• Watkins, A. E., Bargagliotti, A., and Franklin, C. (2014), “Simulation of the Sampling Distribution of the Mean Can Mislead,” Journal of Statistics Education, 22. Available at https://doi.org/10.1080/10691898.2014.11889716.
   Google Scholar
• Watson, J., and Chance, B. (2012), “Building Intuitions About Statistical Inference Based on Resampling,” Australian Senior Mathematics Journal, 26, 6–18.
   Google Scholar
• Weir, C. G., McManus, I. C., and Kiely, B. (1991), “Evaluation of the Teaching of Statistical Concepts by Interactive Experience With Monte Carlo Simulations,” British Journal of Educational Psychology, 61, 240–247.
   Web of Science ®Google Scholar
• Wood, M. (2005), “The Role of Simulation Approaches in Statistics,” Journal of Statistics Education, 13. Available at https://doi.org/10.1080/10691898.2005.11910562.
   Google Scholar
• Zerbolio Jr., D. J. (1989), “A ‘Bag of Tricks’ for Teaching About Sampling Distributions,” Teaching of Psychology, 16, 207.
   Web of Science ®Google Scholar