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ZDM

, Volume 50, Issue 7, pp 1165–1181 | Cite as

Statistical modeling to promote students’ aggregate reasoning with sample and sampling

  • Keren AridorEmail author
  • Dani Ben-Zvi
Original Article
  • 115 Downloads

Abstract

While aggregate reasoning is a core aspect of statistical reasoning, its development is a key challenge in statistics education. In this study we examine how students’ aggregate reasoning with samples and sampling (ARWSS) can emerge in the context of statistical modeling activities of real phenomena. We present a case study on the emergent ARWSS of two pairs of sixth graders (age 11–12) involved in statistical data analysis and informal inference utilizing TinkerPlots. The students’ growing understandings of various statistical concepts is described and five perceptions the students expressed are identified. We discuss the contribution of modeling to these progressions followed by conclusions and limitations of these results. While idiosyncratic, the insights contribute to the understanding of students’ aggregate reasoning with data and models, with regards to samples and sampling.

Keywords

Exploratory data analysis Informal statistical inference Aggregate statistical reasoning Statistical model and modeling Sample and sampling 

Notes

Acknowledgements

This research was supported by the University of Haifa and the I-CORE Program of the Planning and Budgeting Committee and the Israel Science Foundation Grant 1716/12. We deeply thank the Connections research team and the anonymous reviewers of earlier versions of this manuscript.

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Copyright information

© FIZ Karlsruhe 2018

Authors and Affiliations

  1. 1.LINKS I-CORE, Faculty of EducationThe University of HaifaHaifaIsrael

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