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The red book activity: a model eliciting activity to introduce and initiate a section on statistics focusing on variability and sampling
Linköping University, Faculty of Science & Engineering. Linköping University, Department of Mathematics, Analysis and Mathematics Education.ORCID iD: 0000-0001-5013-8890
Linköping University, Faculty of Educational Sciences. Linköping University, Department of Mathematics, Analysis and Mathematics Education.
2021 (English)In: Mathematical Modelling Education in East and West / [ed] F. Leung, G. A. Stillman, G. Kasier, & K. L. Wong, Cham: Springer, 2021, p. 595-605Chapter in book (Refereed)
Abstract [en]

This chapter analyses and discusses nine groups of upper secondary students’ work on the question “How many red books are there in the library?”. The students devised and implemented a plan, collected data, calculated estimates and reflected on what aspects and factors might have influenced their results caused by their adopted strategy. The analysis of the students’ work focused on reconstructing and categorizing the models the students devised and implemented, as well as the sources and types of variability that the activity elicited. The results show how the central statistical idea of variability is manifested in the models developed and implemented by the students, and how these can be further explored and applied as central and bearing ideas for organizing a whole section of statistics at the upper secondary level.

Place, publisher, year, edition, pages
Cham: Springer, 2021. p. 595-605
Series
International Perspectives on the Teaching and Learning of Mathematical Modelling, ISSN 2211-4920, E-ISSN 2211-4939
Keywords [en]
Models and modelling perspective, Model eliciting activities, Sampling, Statistics, Teaching, Secondary level, Variability
National Category
Didactics
Identifiers
URN: urn:nbn:se:liu:diva-179319DOI: 10.1007/978-3-030-66996-6_50Libris ID: 8phxdwn86bqmkwrjISBN: 9783030669959 (print)ISBN: 9783030669966 (electronic)OAI: oai:DiVA.org:liu-179319DiVA, id: diva2:1595244
Available from: 2021-09-17 Created: 2021-09-17 Last updated: 2022-04-05Bibliographically approved

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Bergman Ärlebäck, JonasFrejd, Peter

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CiteExportLink to record
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Citation style
  • apa
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Language
  • de-DE
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Output format
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