A fit model for model fitting: an a-didactical situation for model building

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Petersson, JöranMalmö universitet,Institutionen för skolutveckling och ledarskap (SOL),FoNS (författare)

A fit model for model fitting : an a-didactical situation for model building

Artikel/kapitelEngelska2019

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2019
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LIBRIS-ID:oai:DiVA.org:mau-40701
https://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-40701URI

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Språk:engelska
Sammanfattning på:engelska

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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.

Ämnesord och genrebeteckningar

SAMHÄLLSVETENSKAP Utbildningsvetenskap Didaktik hsv//swe
SOCIAL SCIENCES Educational Sciences Didactics hsv//eng
Curve fitting
didactic situation
mathematics
modelling
secondary school
Matematikens didaktik
Mathematics education

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Malmö universitetInstitutionen för skolutveckling och ledarskap (SOL) (creator_code:org_t)

Sammanhörande titlar

Ingår i:NOFA7 Abstracts, Stockholm University, 13 - 15 May 2019, s. 169-169

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Av författaren/redakt...: Petersson, Jöran

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SAMHÄLLSVETENSKAP: SAMHÄLLSVETENSKA ...; och Utbildningsveten ...; och Didaktik

Artiklar i publikationen: NOFA7 Abstracts, ...

Av lärosätet: Malmö universitet

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