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Student Understanding of Symbols in Introductory Statistics Courses

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The Teaching and Learning of Statistics

Abstract

This study explores student understanding of the symbolic representation system in statistics. Furthermore, it attempts to describe the relation between student understanding of the symbolic system and statistical concepts that students develop as the result of an introductory undergraduate statistics course. The theory, drawn from the notion of semantic function that links representations and concepts, seeks to expand the range of representations considered in exploring students’ statistical proficiencies. Results suggest that students experience considerable difficulty in making correct associations between symbols and concepts; that they describe the relationship as seemingly arbitrary; and that they are unlikely to understand statistics as quantities that can vary. Finally, this study describes students’ need for robust knowledge of preliminary concepts in order to understand the construct of a sampling distribution.

Kim, H., Fukawa-Connelly, T., & Cook, S.A. (2016). Student understanding of symbols in introductory statistics courses. In D. Ben-Zvi & K. Makar (Eds.), Teaching and learning of statistics: International perspectives (pp. 163–173). Haifa, Israel: Statistics Education Center, the University of Haifa.

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References

  • Arcavi, A. (1994). Symbol sense: Informal sense-making in formal mathematics. For the Learning of Mathematics, 14(3), 24–35.

    Google Scholar 

  • Font, V., Godino, J., & D’Amore, B. (2007). An onto-semiotic approach to representation in mathematics education. For the Learning of Mathematics, 27(2), 2–7,14.

    Google Scholar 

  • Hewitt, D. (1999). Arbitrary and necessary: Part 1 a way of viewing the mathematics curriculum. For the Learning of Mathematics, 19(3), 2–9.

    Google Scholar 

  • Kaplan, J., Fisher, D., & Rogness, N. (2009). Lexical ambiguity in statistics: How students use and define the words: association, average, confidence, random and spread. Journal of Statistics Education, 18(1). http://www.amstat.org/publications/jse/v18n2/kaplan.pdf

  • Mayen, S., Diaz, C., & Batanero, C. (2009). Students’ semiotic conflicts in the concept of median. Statistics Education Research Journal, 8(2), 74–93.

    Google Scholar 

  • Peters, S. (2011). Robust understanding of statistical variation. Statistics Education Research Journal, 10(1), 52–88.

    Google Scholar 

  • Shaughnessy, M. (2007). Research on statistics learning and reasoning. In F. Lester (Ed.), Second handbook of research on mathematical teaching and learning (pp. 957–1009). Washington, DC: NCTM.

    Google Scholar 

  • Watier, N., Lamontagne, C., & Chartier, S., (2011). What does the mean? Journal of Statistics Education, 19(2). http://www.amstat.org/publications/jse/v19n2/watier.pdf

  • Watson, J. (2009). The influence of variation and expectation on the developing awareness of distribution. Statistics Education Research Journal, 8(1), 32–61.

    Google Scholar 

  • Zieffler, A., & Garfield, J. (2009). Modeling the growth of students’ covariational reasoning during an introductory statistics course. Statistics Education Research Journal, 8(1), 7.

    Google Scholar 

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Correspondence to Hyung Won Kim .

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Kim, H.W., Fukawa-Connelly, T., Cook, S.A. (2016). Student Understanding of Symbols in Introductory Statistics Courses. In: Ben-Zvi, D., Makar, K. (eds) The Teaching and Learning of Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-23470-0_21

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  • DOI: https://doi.org/10.1007/978-3-319-23470-0_21

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23469-4

  • Online ISBN: 978-3-319-23470-0

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