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Time series analysis: Moving averages as an approach to analysing textbooks
Stockholm University. (Foundational Number Sense)ORCID iD: 0000-0001-5609-0752
Leeds University, England. (Foundational Number Sense)ORCID iD: 0000-0002-9652-0187
Stockholm University. (Foundational Number Sense)ORCID iD: 0000-0003-3679-9187
2020 (English)In: Proceedings of CERME11 / [ed] Jankvist, U. T., Van den Heuvel-Panhuizen, M., & Veldhuis, M., Freudenthal Group & Freudenthal Institute , 2020Conference paper, Published paper (Refereed)
Abstract [en]

In this study we introduce time series analysis, specifically moving averages, as a novel strategy for analysing mathematics textbooks. Such analyses show how different topics or mathematical processes are emphasised over different time periods, whether at the level of the lesson, the week, the month or year. In this paper, by way of example, we show how one of the eight categories of foundational number sense (Andrews & Sayers, 2015), namely simple addition and subtraction, is distributed and sequenced across three English, year one, textbooks. The analyses are compared empirically with four other methods found in the literature to show how time series analysis using moving averages helps address the shortcomings of these different approaches.

Place, publisher, year, edition, pages
Freudenthal Group & Freudenthal Institute , 2020.
Keywords [en]
comparative textbook analysis, foundational number sense, moving average, time series
National Category
Didactics
Identifiers
URN: urn:nbn:se:mau:diva-13670ISBN: 978-90-73346-75-8 (print)OAI: oai:DiVA.org:mau-13670DiVA, id: diva2:1410804
Conference
Eleventh Congress of the European Society for Research in Mathematics Education
Projects
FoNS - Foundational Number Sense
Funder
Swedish Research Council, 2015-01066Available from: 2020-03-02 Created: 2020-03-02 Last updated: 2023-10-05Bibliographically approved

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PeterssonSayersAndrews_CERME11_TWG11_08.pdf(520 kB)213 downloads
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Petersson, JöranSayers, JudyAndrews, Paul

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Total: 213 downloads
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CiteExportLink to record
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  • apa
  • ieee
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  • de-DE
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Output format
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