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The use of imagery in statistical reasoning by university undergraduate students: a preliminary study

Author

Listed:
  • Maria Penna
  • Mirian Agus
  • Maribel Peró-Cebollero
  • Joan Guàrdia-Olmos
  • Eliano Pessa

Abstract

Many students have difficulty in grasping several concepts that are related to the solution of statistical problems. The bibliography reports how the ability of students to solve problems can be affected by the mode of the statistical problem presentation: verbal–numerical and pictorial–graphical. The dual-coding theory predicts that the graphical representation mode should enhance students’ statistical reasoning. Solving these problems requires the building, by the subjects, of a mental model, which in turn relies on visuo-spatial processing. To test this hypothesis we analysed how the ability to solve problems of 473 undergraduate students is affected by the mode of the statistical problem presentation. The study used a quasi-experimental mixed design to explore how the student’s performance is related to visuo-spatial and numerical abilities, statistical expertise, time pressure and problem representation mode (verbal/pictorial). Data analysis, based on the Hierarchical Loglinear Model and then the Logit Model, highlighted that the effect of facilitation, induced by the graphical presentation mode, would seem more likely to occur in inexperienced subjects with high visuo-spatial competence. Copyright Springer Science+Business Media B.V. 2014

Suggested Citation

  • Maria Penna & Mirian Agus & Maribel Peró-Cebollero & Joan Guàrdia-Olmos & Eliano Pessa, 2014. "The use of imagery in statistical reasoning by university undergraduate students: a preliminary study," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(1), pages 173-187, January.
    • Handle: RePEc:spr:qualqt:v:48:y:2014:i:1:p:173-187
    DOI: 10.1007/s11135-012-9757-5
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    References listed on IDEAS

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    1. Mikel Aickin, 2001. "Graphics for the Minimal Sufficient Cause Model," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(1), pages 49-60, February.
    2. Ricardo Bezerra & Sullaiman Jalloh & Janet Stevenson, 1998. "Formulating Hypotheses Graphically in Social Research," Quality & Quantity: International Journal of Methodology, Springer, vol. 32(4), pages 327-353, November.
    3. Alex R Cook & Shanice W L Teo, 2011. "The Communicability of Graphical Alternatives to Tabular Displays of Statistical Simulation Studies," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.
    4. Sloman, Steven A. & Over, David & Slovak, Lila & Stibel, Jeffrey M., 2003. "Frequency illusions and other fallacies," Organizational Behavior and Human Decision Processes, Elsevier, vol. 91(2), pages 296-309, July.
    5. C. J. Wild & M. Pfannkuch, 1999. "Statistical Thinking in Empirical Enquiry," International Statistical Review, International Statistical Institute, vol. 67(3), pages 223-248, December.
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