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ZDM

, Volume 50, Issue 1–2, pp 103–115 | Cite as

Modelling with authentic data in sixth grade

  • Lyn D. English
  • Jane Watson
Original Article
First Online:

Abstract

This article explores 6th-grade students’ modelling with data in generating models for selecting an Australian swimming team for the (then) forthcoming 2016 Olympics, using data on swimmers’ times at various previous events. We propose a modelling framework comprising four components: working in shared problem spaces between mathematics and statistics; interpreting and reinterpreting problem contexts and questions; interpreting, organising and operating on data in model construction; and drawing informal inferences. In studying students’ model generation, consideration is given to how they interpreted, organised, and operated on the problem data in constructing and documenting their models, and how they engaged in informal inferential reasoning. Students’ responses included applying mathematical and statistical operations and reasoning to selected variables, identifying how variation and trends in swimmers’ performances inform model construction, recognising limitations in using only one performance variable, and acknowledging uncertainty in model creation and model application due to chance variation.

Keywords

Modelling with data Data literacy Primary school Variation Uncertainty Informal inference Mathematisation Transnumeration 
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Notes

Acknowledgements

This study was supported by research funding from the Australian Research Council (ARC) Discovery Grant DP20100158. Any opinions, findings, and conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of the ARC. We wish to acknowledge the enthusiastic participation of the students and teachers, together with the excellent support of our senior research assistant, Jo Macri, and research assistant Joanna Smeed.

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Copyright information

© FIZ Karlsruhe 2017

Authors and Affiliations

  1. 1.Faculty of EducationQueensland University of TechnologyBrisbaneAustralia
  2. 2.Faculty of EducationUniversity of TasmaniaHobartAustralia

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