Interpretations of Boxplots: Helping Middle School Students to Think Outside the Box

References

• Bakker, A. (2004), Design Research in Statistics Education: On Symbolizing and Computer Tools, Utrecht: Freudenthal Institute.
   Google Scholar
• Bakker, A., Biehler, R., and Konold, C. (2004), “Should Young Students Learn About Box Plots?” Available at http://www.fisme.science.uu.nl/staff/arthur/bakkerbk-boxplots2005.pdf
   Google Scholar
• Ben-Zvi, D. and Garfield, J. B. (Eds.) (2005), The Challenge of Developing Statistical Literacy, Reasoning, and Thinking, Dordrecht, The Netherlands: Kluwer Academic Publishers.
   Google Scholar
• Biehler, R. (1996), “Students' Difficulties in Practicing Computer-Supported Data Analysis: Some Hypothetical Generalizations from Results of Two Exploratory Studies,” available at http://www.stat.auckland.ac.nz/∼iase/publications/8/14.Biehler.pdf
   Google Scholar
• Capraro, M. M., Kulm, G., and Capraro, R. M. (2005), “Middle Grades: Misconceptions in Statistical Thinking,” School Science and Mathematics, 105(4), 165–174.
   Google Scholar
• Cobb, P., Gravemeijer, K. P. E., Bowers, J., and Doorman, M. (1997), Statistical Minitools: Computer Software, Nashville & Utrecht: Vanderbilt University, TN & Freudenthal Institute, Utrecht University, Retrieved from. www.wisweb.nl
   Google Scholar
• Curcio, F. R. (1987), “Comprehension of Mathematical Relationships Expressed in Graphs,” Journal for Research in Mathematics Education, 18(5), 382–393.
   Web of Science ®Google Scholar
• delMas, R. (2005), “A Comparison of Mathematical and Statistical Reasoning,” in The Challenge of Developing Statistical Literacy, Reasoning, and Thinking, eds. D. Ben-Zvi and J. Garfield, (pp. 79–95), Dordrecht, The Netherlands: Kluwer Academic Publishers.
   Google Scholar
• delMas, R., Garfield, J., and Ooms, A. (2005, July), “Using Assessment Items to Study Students' Difficulty Reading and Interpreting Graphical Representations of Distributions,” in Proceedings of the Fourth International Research Forum on Statistical Reasoning, Thinking and Literacy, ed. K. Makar, Auckland, New Zealand: University of Auckland. available at http://srtl.fos.auckland.ac.nz/?page_id=123
   Google Scholar
• Friel, S. N., and Bright, G. W. (1996), Building a Theory of Graphicacy: How Do Students Read Graphs? Retrieved from ERIC database, (ED395277).
   Google Scholar
• Friel, S. N., Curcio, F. R., and Bright, G. W. (2001), “Making Sense of Graphs: Critical Factors Influencing Comprehension and Instructional Implications,” Journal for Research in Mathematics Education, 32(2), 124–158.
   Web of Science ®Google Scholar
• Kagan, S. (1989), “The Structural Approach to Cooperative Learning,” Educational Leadership, 47(3), 12–15.
   Google Scholar
• Konold, C., Pollatsek, A., Well, A., and Gagnon, A. (1997), “Students Analyzing Data: Research of Critical Barriers,” in Research on the Role of Technology in Teaching and Learning Statistics: Proceedings of the 1996 IASE Round Table Conference, eds. J. B. Garfield & G. Burrill, (pp. 151–167). Voorburg, The Netherlands: International Statistical Institute.
   Google Scholar
• Lem, S., Onghena, P., Verschaffel, L., and Van Dooren, W. (2013a), “The Heuristic Interpretation of Boxplots,” Learning and Instruction, 26, 22–35.
   Web of Science ®Google Scholar
• ——— (2013b), “On the Misinterpretation of Histograms and Box Plots,” Educational Psychology, 33(2), 155–174.
   Web of Science ®Google Scholar
• ——— (2013c), “External Representations for Data Distributions: In Search of Cognitive Fit,” Statistics Education Research Journal, 12(1), 4–19.
   Google Scholar
• Lem, S., Kempen, G., Ceulemans, E., Onghena, P., Verschaffel, L., and Van Dooren, W. (2015), “Combining Multiple External Representations and Refutational Text: An Intervention on Learning to Interpret Box Plots,” International Journal of Science and Mathematics Education, 13, 909–926.
   Web of Science ®Google Scholar
• National Council of Teachers of Mathematics [NCTM] (2000), Principles and Standards for School Mathematics, Reston, VA: Author.
   Google Scholar
• National Governors Association Center for Best Practices & Council of Chief State School Officers [CCSSI] (2010), Common Core State Standards for Mathematics, Washington, DC: Authors.
   Google Scholar
• Özgün-Koca, S. A., and Edwards, T. G. (2013), “Interpreting Boxplots with Multiple Linked Representations,” Mathematics Teaching in the Middle School, 18(8), 508–513.
   Google Scholar
• Pfannkuch, M. (2007), “Year 11 Students' Informal Inferential Reasoning: A Case Study About the Interpretation of Box Plots,” International Electronic Journal of Mathematics Education, 2(3), 149–167.
   Google Scholar
• Shaughnessy, J. M. (1992), “Research in Probability and Statistics: Reflections and Directions,” in Handbook of Research on Mathematics Teaching and Learning, ed. D. A. Grouws, (pp. 465–494), New York: Macmillan.
   Google Scholar
• Watson, J. M. (2012), “Box Plots in the Australian Curriculum,” Australian Mathematics Teacher, 68(3), 3–11.
   Google Scholar