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Modelling with authentic data in sixth grade

journal contribution
posted on 2023-05-19, 12:48 authored by English, LD, Jane WatsonJane Watson
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 their models, how they documented 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 due to chance variation in drawing conclusions and making predications.

Funding

Australian Research Council

History

Publication title

ZDM Mathematics Education

Volume

50

Issue

1-2

Pagination

103-115

ISSN

1863-9690

Department/School

Faculty of Education

Publisher

Springer

Place of publication

Germany

Rights statement

Copyright 2017 FIZ Karlsruhe

Repository Status

  • Restricted

Socio-economic Objectives

Other education and training not elsewhere classified

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