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Building Up the Box Plot as a Tool for Representing and Structuring Data Distributions: An Instructional Effort Using Tinkerplots and Evidence of Students’ Reasoning

  • Luis SaldanhaEmail author
  • Michael McAllister
Chapter

Abstract

Six 7th-grade students engaged with an instructional sequence involving the use of the TinkerPlots software to organize data sets in ways intended to help them construe two attributes: the location of subsets of data values within a subrange of the entire set and the length of the intervals comprised by those subsets. Findings from a pretest and a culminating task suggest that the students enriched their ability to imagine and create a hypothetical data distribution from a given representative box plot, and that they became oriented to the spread of portions of a data set as indicated by the length of quartiles.

Keywords

Box plots Distributions Variability Density Data 

Notes

Acknowledgment

This report is based upon work supported by the National Science Foundation under Grant No. 0953987. Any opinions, findings, and conclusions or recommendations expressed in this report are those of the authors and do not necessarily reflect the views of the National Science Foundation.

References

  1. Bakker, A., Biehler, R., & Konold, C. (2005). Should young students learn about box plots? In G. Burrill & M. Camden (Eds.), Curricular development in statistics education: international association for statistical education 2004 roundtable (pp. 163–173). Voorburg, The Netherlands: International Statistical Institute.Google Scholar
  2. Bright, G. W., Brewer, W., McClain, K., & Mooney, E. S. (2003). Navigating through data analysis in grades 6-8. Reston, VA: National Council of Teachers of Mathematics.Google Scholar
  3. Garfield, J., & Ben-Zvi, D. (2010). Developing students’ statistical reasoning: Connecting research and teaching practice. Dordrecht, The Netherlands: Springer.Google Scholar
  4. Konold, C. (2007). Designing a data analysis tool for learners. In M. C. Lovett & P. Shah (Eds.), Thinking with data (pp. 267–292). New York: Lawrence Erlbaum Associates.Google Scholar
  5. Konold, C., & Miller, C. D. (2005). TinkerPlots: Dynamic data exploration. Emeryville, CA: Key Curriculum Press.Google Scholar
  6. 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
  7. Tukey, J. W. (1977). Exploratory data analysis. Reading, MA: Addison-Wesley.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Université du Québec à MontréalMontréalCanada
  2. 2.Arizona State UniversityTempeUSA

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