| 11. |
- Petersson, Jöran, et al.
(author)
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Two methods for quantifying similarity between textbooks with respect to content distribution
- 2023
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In: International Journal of Research and Method in Education. - 1743-727X .- 1743-7288. ; 46:2, s. 161-174
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Journal article (peer-reviewed)abstract
- Measures of association, which typically require pairwise data, are widespread in many aspects of educational research. However, due to the need to reduce their content to equal numbers of units of analysis, they are rarely found in the analysis of textbooks. In this paper, we present two methods for overcoming this limitation, one through the use of disjoint sections and the other through the use of overlapping moving averages. Both methods preserve the temporal structure of data and enable researchers to calculate a measure of association which, in this case, is the complementary Euclidean average distance, as an indicator of the books’ similarity. We illustrate these approaches by means of a comparative analysis of three commonly-used English and Swedish mathematics textbooks. Analyses were focused on individual tasks, which had all been coded according to the presence or absence of particular characteristics. Both methods produce nearly identical results and are robust with respect to both densely and sparsely occurring characteristics. For both methods, widening the aggregation window results in a slightly increased level of quantified similarity, which is the result of the ‘smoothing effect’. We discuss the relation between the window width and the choice of research question.
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| 12. |
- Petersson, Jöran, et al.
(author)
-
Two novel approaches to the content analysis of school mathematics textbooks
- 2021
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In: International Journal of Research & Method in Education. - : Taylor & Francis. - 1743-7288 .- 1743-727X. ; 44:2, s. 208-222
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Journal article (peer-reviewed)abstract
- The analysis of the content of school textbooks, particularly in a time of cross-cultural borrowing, is a growing field restricted by the tools currently available. In this paper, drawing on the analyses of three English year-one mathematics textbooks, we show how two approaches to the analysis of sequential data not only supplement conventional frequency analyses but highlight trends in the content of such textbooks hidden from frequency analyses alone. The first, moving averages, is conventionally used in science to eliminate noise and demonstrate trends in data. The second, Lorenz curves, is typically found in the social sciences to compare different forms of social phenomena. Both, as we show, extend the range of questions that can be meaningfully asked of textbooks. Finally, we speculate as to how both approaches can be used with other forms of ordered classroom data.
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| 13. |
- Petersson, Jöran
(author)
-
Tänk om det som gäller friskolor även gällde i förlossningsvården
- 2020
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In: Läraren : en tidning från Lärarförbundet. - 2003-6035. ; :20-12-14
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Journal article (pop. science, debate, etc.)abstract
- Från ett decennium till ett annat varierar elevkullarna stort och skolpengen kan baseras på skolformens ansvar att ta höjd för detta. Då en sådan skolpeng baserar sig på demografiska variationer och är lätt att beräkna, så undviker den många ideologiska och politiska låsningar.
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| 14. |
- Petersson, Jöran, Docent
(author)
-
Stokastikdidaktik del 2 : Statistik, sannolikhetslära och kombinatorik för grund- och ämneslärare
- 2023. - 1
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Book (pop. science, debate, etc.)abstract
- Stokastik är ett samlingsnamn för statistik och sannolikhetslära och huvudinnehållet i denna bok är didaktik för stokastik och kombinatorik från tidiga skolår till gymnasiet. Vid sidan av huvudinnehållet visar boken med konkreta exempel hur didaktiska teorier såsom didaktisk transposition, praxeologi och teorier om representationsformer kan omsättas i lärares och elevers arbete med matematiska begrepp och modeller.Boken tar även upp didaktiska aspekter på digitala verktyg för att underlätta beräkningar, statistisk modellering och diagramkonstruktion. Andra områden är försöksplanering för skolmatematiken samt stokastikens idéhistoria och läroplanshistoria. Boken stödjer sig på en stor mängd forskningslitteratur med källor och tar även upp engelska termer i stokastik för att underlätta för läsaren att på egen hand kunna söka och läsa vidare inför skolutvecklingsarbete.Boken riktar sig till både grundlärarstudenter (del 1) och ämneslärarstudenter (del 1 + 2) då dessa utbildningar delvis överlappar varandra vad det gäller stokastikens didaktik. För grundlärarstudenter räcker bokens kapitel 1–9 och 11 i del 1 och de kan även hoppa över rubriker med ordet ”fördjupning” i sig. Kapitel 12–14 i del 2 ger en matematisk behandling av stokastik och modellering. Kapitel 10 (del 1) och 15 (del 2) ger en kort introduktion till vanliga kvantitativa forskningsmetoder inom skolutvecklingsarbete och utbildningsvetenskap såsom försöksplanering, enkäter, observationsprotokoll, enkäter, läromedelsanalys och statistisk analys.
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| 15. |
- Petersson, Jöran, Docent, et al.
(author)
-
Does solving arithmetic linear equations offer transferable algebraic competence?
- 2023
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In: Proceedingsof the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). - Budapest : Alfréd Rényi Institute of Mathematics and ERME. - 9789637031045 ; , s. 642-649
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Conference paper (peer-reviewed)abstract
- In this study we have investigated the relation between grade 9 students’ responses to a simple linear equation and a visually similar but proportionally-based linear expression task. Analyses, based on data from the results of a test of 359 Swedish year Swedish students from six diverse schools, drew on written responses to the two tasks. Students giving algebra-based solutions to the linear equation are not only more likely to complete the proportional task but also offer better solutions than students giving arithmetic-based solutions. The results highlight the need for curricula, textbooks and teachers to revisit the place of algebraic equation-solving, whilst also encouraging students to verify their solutions.
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| 16. |
- Petersson, Jöran, Docent
(creator_code:cre_t)
-
Matemattityd
- 2023
-
Other publication (film/video) (pop. science, debate, etc.)abstract
- Kanalen matemattityd publicerar kortfilmer om matematik och NO och riktar sig främst till elever och lärare i högstadium. Filmerna produceras vid Malmö Universitet med stöd av Sten K Johnsons stiftelse.Matemattityd är fritt tillgänglig på https://play.mau.se/channel/Matemattityd/611359Redaktör: Jöran Petersson, docent i matematikens didaktik
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| 17. |
- Petersson, Jöran, Docent
(author)
-
Mathematical modelling in social sciences
- 2022
-
In: The relation between mathematics education research and teachers’ professional development. - : Svensk förening för MatematikDidaktisk Forskning - SMDF. - 9789198402452 ; , s. 141-141
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Conference paper (other academic/artistic)abstract
- This presentation outlines the mathematising of population pyramids in secondary education. The population pyramids are presented as reduced schemas, making them more accessible for use in both mathematics and social science classrooms. The outcome is that such schemes show useful for describing relations between the shape of a population pyramid and aspects of macroeconomic status of country; both when comparing countries with different shapes of the population pyramids at the same time period and when comparing one country over historical periods with different shapes of its population pyramids. Hence, this model opens for several societal applications, which in turn form bases for students’ discussion and interpretations of both simulation models and the principle of mathematical reductionism.
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| 18. |
- Petersson, Jöran, Docent, et al.
(author)
-
Nya kursplanen : Enhetsanalys för attundervisa omhärledda enheter
- 2022
-
Conference paper (other academic/artistic)abstract
- Härledda enheter ligger i området proportionalitet, vilket matematikdidaktisk forskning betraktar som både svårt att undervisa och svårt att lära sig. I ett regionalt skolutvecklingsprojekt omformade vi högskolematematikens enhetsanalys (dimensionsanalys) till att passa åk 7-gy då grundidén är att betrakta en storhets enhet, exempelvis kr/kg, och dra slutsatser om hur storheten (kvot eller produkt) ska beräknas. I projektet utvecklade vi både övningsproblem och undervisningsmetoder för detta.
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| 19. |
- Petersson, Jöran, Docent, et al.
(author)
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Teaching quality during mathematics lessons
- 2024
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In: Skrifter från SMDF, Nr 18 : Mediating mathematics. - Göteborg. - 9789198402476 ; , s. 141-141
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Conference paper (peer-reviewed)abstract
- This presentation focuses changes in elements of teaching quality during three parts of a mathematics lesson; start, middle and end. 64 grade 7 lessons were analysed using these partitions, forming a time series that shows decreasing quality for most elements (e.g., Modelling) from start to end of a lesson. Few elements showed an increase of quality (e.g., Intellectual Challenge). The structure of the lessons (whole class at start and individual work during middle and end) may partially account for a possible decrease. Even so, a decrease in quality is not desirable and implications on students’ learning are of concern.
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| 20. |
- Petersson, Jöran, Docent, et al.
(author)
-
Teaching quality during mathematics lessons
- 2024
-
In: Skrifter från SMDF, Nr 18. - Göteborg. - 9789198402476 ; , s. 141-141
-
Conference paper (peer-reviewed)abstract
- This presentation focuses changes in elements of teaching quality during three parts of a mathematics lesson; start, middle and end. 64 grade 7 lessons were analysed using these partitions, forming a time series that shows decreasing quality for most elements (e.g., Modelling) from start to end of a lesson. Few elements showed an increase of quality (e.g., Intellectual Challenge). The structure of the lessons (whole class at start and individual work during middle and end) may partially account for a possible decrease. Even so, a decrease in quality is not desirable and implications on students’ learning are of concern.
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