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- Petersson, Jöran, et al.
(författare)
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Does solving arithmetic linear equations offer transferable algebraic competence?
- 2023
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Ingår i: CERME13. ; , s. 642-649
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Konferensbidrag (refereegranskat)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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3. |
- Petersson, Jöran
(författare)
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Newly- and early-immigrated second-language students’ knowledge of arithmetic syntax
- 2018
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Ingår i: Nordisk matematikkdidaktikk, NOMAD. - 1104-2176. ; 23:3-4, s. 105-122
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Tidskriftsartikel (refereegranskat)abstract
- The present study investigated how 259 Swedish, grade 9 students, of whom 90 had an immigrant background, achieved on twelve written test items in the content area of number. Four of the twelve test items required good knowledge of arithmetic syntax, such as when it was appropriate to apply order-of-operation rules and the associative and distributive laws of arithmetic operations. On these four test items, the most-recently arrived students showed on average significantly more knowledge than the students who had immigrated when they were younger and had participated in Swedish schools for longer periods of time. The outcome suggests that these two groups of immigrant students in later school years should be considered as separate sub-categories of second-language students when it comes to teaching, assessment and research.
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4. |
- Petersson, Jöran
(författare)
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Begreppsrika matematiska experiment
- 2007
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Ingår i: Matematikdidaktiska texter. - Stockholm : Stockholm University. ; , s. 56-70
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- Matematiska experiment kan vara av högst skiftande utformning. En kategorisering är följande tre typer av matematiska experiment: Laborationer, simuleringar och tankeexperiment. Denna text definierar och exemplifierar dessa begrepp och belyser dem ur några didaktiska aspekter.
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6. |
- Petersson, Jöran
(författare)
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Tintin och matematiken
- 2017
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Ingår i: Tintinism. - Solna : Asterion media. - 9789185083053 ; , s. 65-70
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Bokkapitel (populärvet., debatt m.m.)abstract
- Kan man skämta om ämnet matematik på ett seriöst sätt? Kan man väva in seriös matematik i en tecknad serie? Faktum är att matematik i olika former förekommer i de flesta Tintinalbum. Det utgör ett utmärkt exempel på genren »edutainment«.
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7. |
- Petersson, Jöran
(författare)
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A fit model for model fitting : an a-didactical situation for model building
- 2019
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Ingår i: NOFA7 Abstracts, Stockholm University, 13 - 15 May 2019. ; , s. 169-169
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Konferensbidrag (refereegranskat)abstract
- Mathematical modelling in school mathematics encompasses a wide range of questions such as curricular aspects, mathematical concepts involved, orchestrating lesson activities, and many more. When building models, one approach is to use epistemological arguments and another approach is to base the model on empirical data. In the latter case, we can either focus on applying the resulting model to real life problems or we can focus on the mathematical methods needed to find the resulting model. In this empirical study, students in school year 10 in Sweden were asked “How do you think a digital tool calculates the fitted curve?” Doing so, the students were given an open-response task where they themselves are expected to develop mathematical knowledge that is new to them. One outcome of the students’ work was the following: They suggested mathematical methods corresponding to those analytical and geometrical methods that have been developed and used through the history of mathematics. Moreover, they suggested both discrete and continuous metric spaces as a means for measuring the distance between data and model. They also suggested modern methods from exploratory data analysis such as trimming the empirical data before fitting the model to them. Another outcome was that the tasks for the students were formulated so that they promoted and enthused the students’ mathematical creativity and reasoning in a way that in this mathematical area reached far beyond the curriculum for secondary school mathematics.
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8. |
- Petersson, Jöran
(författare)
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A PhD-project in multiculturalism : Ethnomathematics, language or educational systems
- 2010
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Ingår i: Mathematics and mathematics education: Cultural and social dimensions. - Linköping : Svensk förening för matematikdidaktisk forskning, Linköping universitet. - 9197393460 ; , s. 275-276
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Konferensbidrag (refereegranskat)abstract
- What could a PhD-project within a multicultural perspective on mathematics education comprise? So far a literature survey suggests three possible aspects, namely ethno-mathematics, multilingualism or educational systems.
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9. |
- Petersson, Jöran
(författare)
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Components of knowledge in solving linear equations
- 2021
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Ingår i: Sustainable mathematics education in a digitalized world. - 9789198402445 ; , s. 41-50
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Konferensbidrag (refereegranskat)abstract
- This article identifies knowledge components needed for successfully solving linear equations. Data for this purpose is 359 Swedish year 9 students’ written responses to the test task ”solve the equation 2x + 3 = 11”. The following set of knowledge components were identified; arithmetic knowledge, parsing knowledge, balancing equations, giving a value to the unknown, not omitting parts and the habit of verifying the solution. This paper discusses for which of these knowledge components, students could discover and correct their own errors if they would both solve an equation and verify its solution.
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10. |
- Petersson, Jöran, et al.
(författare)
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Content Analysis of Mathematics Textbooks and Adapted Lorentz Curves
- 2021
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Ingår i: <em>Proceedings of the Eighth Conference on Research in Mathematics Education in Ireland</em>. - Dublin. ; , s. 356-363
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Konferensbidrag (refereegranskat)abstract
- In this paper, we introduce an adaption of the Lorenz curve as a powerful tool for graphicallypresenting content analyses of mathematics textbooks. Three textbooks currently used withyear-one children in Sweden, one Swedish-, one Finnish and one Singaporean-authored, wereanalysed against the eight categories of Foundational Number Sense (FoNS), which is a set ofliterature-derived and instruction-dependent competences that all children need to acquire ifthey are to become successful learners of mathematics. The adapted Lorenz curvehighlighted, inter alia, major differences in the distribution of FoNS-related tasks across thethree textbooks. In general, the Swedish-authored textbook offers repeated cycles of FoNSrelated opportunities, the Finnish-authored textbook offers such opportunities continuously,and the Singaporean-authored textbook typically offers FoNS-related opportunities onlywithin its earlier pages.
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