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Design for Reasoning with Uncertainty

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Topics and Trends in Current Statistics Education Research

Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

The uncertainty involved in drawing conclusions based on a single sample is at the heart of informal statistical inference . Given only the sample evidence , there is always uncertainty regarding the true state of the situation. An “Integrated Modelling Approach” (IMA) was developed and implemented to help students understand the relationship between sample and population in an authentic context. This chapter focuses on the design of one activity in the IMA learning trajectory that aspires to assist students to reason with the uncertainty involved in drawing conclusions from a single sample to a population. It describes design principles and insights arising from the implementation of the activity with two students (age 12, grade 6). Implications for research and practice are also discussed.

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Notes

  1. 1.

    The actual IMA learning trajectory can be viewed at http://connections.edtech.haifa.ac.il/Research/theimalt.

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Authors and Affiliations

  1. Faculty of Education, The University of Haifa, Haifa, Israel

    Hana Manor Braham & Dani Ben-Zvi

Authors
  1. Hana Manor Braham
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  2. Dani Ben-Zvi
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Correspondence to Hana Manor Braham .

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Editors and Affiliations

  1. Program in Mathematics Education, Michigan State University, East Lansing, MI, USA

    Gail Burrill

  2. Faculty of Education, University of Haifa, Haifa, Israel

    Dani Ben-Zvi

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Braham, H.M., Ben-Zvi, D. (2019). Design for Reasoning with Uncertainty. In: Burrill, G., Ben-Zvi, D. (eds) Topics and Trends in Current Statistics Education Research. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-030-03472-6_5

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  • DOI: https://doi.org/10.1007/978-3-030-03472-6_5

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