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Inferentiell statistik i grundlärarutbildning: Ett designforskningsprojekt om ämnesdidaktiska transformationer
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-7964-847X
2024 (Swedish)Doctoral thesis, comprehensive summary (Other academic)Alternative title
Inferential Statistics in Primary Teacher Education : A Design Research Project on Subject Didactic Transformations (English)
Abstract [en]

The purpose of this thesis has been to contribute knowledge about subject-specific didactic transformations in inferential statistics within primary school teacher education. The thesis project has focused on identifying what characterises relevant subject-specific didactic content in informal inferential statistics for prospective teachers, and which teaching strategies, based on models and modelling perspectives, can effectively help prospective teachers develop these skills and knowledge. This thesis comprises five publications grounded in two educational design studies. The first study concentrated on informal inferential statistics as a teaching topic, examining a classroom setting where students with limited experience in statistical inference conducted statistical investigations. This initial study served as a fundamental prerequisite for the second study within mathematics teacher education. The second study involved four design cycles, focusing on designing didactic content and resources. Data included prospective teachers’ lesson plans and recorded presentations for their proposed lessons in statistics.

This thesis underscores the importance of teacher education programs that provide prospective primary school teachers with experience in planning statistics lessons centred around statistical investigations and key statistical concepts, including inferential statistics. The main findings include a didactic model for integrating data modelling and informal statistical inference, design principles and strategies to prepare prospective primary teachers, and recommendations for subject-specific didactic content. The findings suggest that prospective teachers often face challenges when formulating and reasoning about these big ideas. Given the overcrowded curriculum in teacher education, this research demonstrates that educational design research is a suitable approach for investigating and promoting subject-specific didactic transformation in teacher education.

Abstract [sv]

Syftet med denna avhandling har varit att bidra med kunskap om relevant ämnesdidaktiskt innehåll i statistik för grundlärarstudenter samt om undervisningsstrategier som kan stödja deras utveckling i att undervisa ämnet. Avhandlingsprojektet tillämpade en ämnesdidaktisk designforskningsstrategi genom två designstudier. Den första studien fokuserade på inferentiell statistik som ämnesinnehåll i skolstatistik, medan den andra studien involverade fyra designcykler i lärarutbildningen, med fokus på ämnesdidaktiskt innehåll och resurser. Empirin i den andra studien inkluderade lärarstudenternas undervisningsplaner och filmade presentationer av en tänkt statistikundervisning. Huvudresultatet består av ett ämnesdidaktiskt ramverk för integrerad undervisning i datamodellering och informell statistisk inferens, samt designprinciper och strategier som syftar till att förbereda grundlärarstudenter på ett ändamålsenligt sätt. Avhandlingen uppmärksammar vikten av en lärarutbildning där lärarstudenter får erfarenhet av att planera statistikundervisning med fokus på statistiska undersökningar och bärande statistiska idéer, såsom informell statistisk inferens. Vidare framgår det att didaktisk designforskning utgör en lämplig ansats för att utforska och främja ämnestransformationer inom lärarutbildningen.

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2024. , p. 112
Series
Karlstad University Studies, ISSN 1403-8099 ; 2024:23
Keywords [en]
big statistical ideas, didactics of statistics, educational design research, informal statistical inference, model and modelling perspective, primary teacher education
Keywords [sv]
bärande statistiska idéer, designforskning, grundlärarutbildning, informell statistisk inferens, modell- och modelleringsperspektiv, statistikens didaktik
National Category
Didactics Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-101135DOI: 10.59217/byev1438ISBN: 978-91-7867-477-0 (print)ISBN: 978-91-7867-478-7 (electronic)OAI: oai:DiVA.org:kau-101135DiVA, id: diva2:1884119
Public defence
2024-09-13, S1020,, Högskolan i Halmstad, Halmstad, 10:00 (Swedish)
Opponent
Supervisors
Funder
Swedish Research Council, 2019–04419Available from: 2024-08-22 Created: 2024-07-13 Last updated: 2024-09-09Bibliographically approved
List of papers
1. An instructional design perspective on data-modelling for learning statistics and modelling
Open this publication in new window or tab >>An instructional design perspective on data-modelling for learning statistics and modelling
2015 (English)Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
Svensk förening för MatematikDidaktisk Forskning - SMDF, 2015
National Category
Didactics Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-101019 (URN)
Conference
Development of mathematics teaching: Design, scale, effects. Proceedings from Madif9: The Ninth Swedish Mathematics Education Research Seminar, Umeå, February 4-5, 2014
Available from: 2024-07-05 Created: 2024-07-05 Last updated: 2024-07-13Bibliographically approved
2. Informell Statistisk Inferens i modelleringssituationer: En studie om utveckling av ett ramverk för att analysera hur elever uttrycker inferenser
Open this publication in new window or tab >>Informell Statistisk Inferens i modelleringssituationer: En studie om utveckling av ett ramverk för att analysera hur elever uttrycker inferenser
2015 (Swedish)Licentiate thesis, monograph (Other academic)
Place, publisher, year, edition, pages
Fakulteten för Teknik, Linnéuniversitetet, 2015. p. 82
National Category
Didactics
Identifiers
urn:nbn:se:kau:diva-101026 (URN)978-91-87925-69-6 (ISBN)
Opponent
Supervisors
Funder
Swedish Research Council
Available from: 2024-07-05 Created: 2024-07-05 Last updated: 2024-07-13Bibliographically approved
3. Learning opportunities for pre-service teachers to develop pedagogical content knowledge for statistical inference
Open this publication in new window or tab >>Learning opportunities for pre-service teachers to develop pedagogical content knowledge for statistical inference
2022 (English)Conference paper, Published paper (Refereed)
Abstract [en]

Recently, researchers have encouraged the teaching of statistical inference to students at all levels. However, what constitutes pre-service teachers’ pedagogical content knowledge for statistical inference has not yet been given specific attention in research. This paper presents a qualitative study of pre-service teachers participating in a collaborative learning setup in a mathematics course to be prepared for teaching statistics in primary school aged 6–10 years. The study reported here is the first cycle of a design research project. This first-phase study explores how pre-service teachers’ pedagogical content knowledge for statistical inference can be developed during their mathematics course. The findings show that pre-service teachers’ learning opportunities regarding pedagogical content knowledge for statistical inference are insufficient. Based on the initial results, an initial conjecture map was constructed that guides the forthcoming design cycle.

Keywords
content representation, design research, pedagogical content knowledge, pre-service teachers, statistical inference
National Category
Didactics
Research subject
Mathematics didactics
Identifiers
urn:nbn:se:kau:diva-92652 (URN)
Conference
Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy (Online), February 2-5, 2022
Funder
Swedish Research Council, 2019–04419
Available from: 2022-12-06 Created: 2022-12-06 Last updated: 2024-07-13Bibliographically approved
4. Preparing prospective primary school teachers in teaching informal statistical inference
Open this publication in new window or tab >>Preparing prospective primary school teachers in teaching informal statistical inference
(English)Manuscript (preprint) (Other academic)
National Category
Didactics Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-101022 (URN)
Available from: 2024-07-05 Created: 2024-07-05 Last updated: 2024-07-13Bibliographically approved
5. Characterization of prospective teachers’ planned teaching practices for informal statistical inference in simulated teaching environments
Open this publication in new window or tab >>Characterization of prospective teachers’ planned teaching practices for informal statistical inference in simulated teaching environments
(English)Manuscript (preprint) (Other academic)
National Category
Didactics Didactics Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-101023 (URN)
Available from: 2024-07-05 Created: 2024-07-05 Last updated: 2024-07-13Bibliographically approved

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Blomberg, Per

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