MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem

This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical a...

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Autores principales:	Marta Pla-Castells, Carmen Melchor, Gisela Chaparro
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Fermi problems mathematical modelling modelling activity diagrams mathematics education estimation Education L
Acceso en línea:	https://doaj.org/article/fe57239880ac456dabf47ac4a1b476ad
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spelling	oai:doaj.org-article:fe57239880ac456dabf47ac4a1b476ad2021-11-25T17:23:54ZMAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem10.3390/educsci111107472227-7102https://doaj.org/article/fe57239880ac456dabf47ac4a1b476ad2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7102/11/11/747https://doaj.org/toc/2227-7102This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined representation allows knowing when mistakes occur and provides a powerful tool for instructors to adapt the teaching–learning processes of mathematics at all levels of education. Our study is based on a recent categorisation of students’ mistakes, together with the creation of a new representation tool, called MAD+, that can combine all this information. The macroscopic view provided by the MAD+ diagrams gives insight into the context in which the mistakes take place and makes the analysis of the resolution of a Fermi problem more efficient.Marta Pla-CastellsCarmen MelchorGisela ChaparroMDPI AGarticleFermi problemsmathematical modellingmodelling activity diagramsmathematics educationestimationEducationLENEducation Sciences, Vol 11, Iss 747, p 747 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fermi problems mathematical modelling modelling activity diagrams mathematics education estimation Education L
spellingShingle	Fermi problems mathematical modelling modelling activity diagrams mathematics education estimation Education L Marta Pla-Castells Carmen Melchor Gisela Chaparro MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
description	This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined representation allows knowing when mistakes occur and provides a powerful tool for instructors to adapt the teaching–learning processes of mathematics at all levels of education. Our study is based on a recent categorisation of students’ mistakes, together with the creation of a new representation tool, called MAD+, that can combine all this information. The macroscopic view provided by the MAD+ diagrams gives insight into the context in which the mistakes take place and makes the analysis of the resolution of a Fermi problem more efficient.
format	article
author	Marta Pla-Castells Carmen Melchor Gisela Chaparro
author_facet	Marta Pla-Castells Carmen Melchor Gisela Chaparro
author_sort	Marta Pla-Castells
title	MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
title_short	MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
title_full	MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
title_fullStr	MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
title_full_unstemmed	MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem
title_sort	mad+. introducing misconceptions in the temporal analysis of the mathematical modelling process of a fermi problem
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/fe57239880ac456dabf47ac4a1b476ad
work_keys_str_mv	AT martaplacastells madintroducingmisconceptionsinthetemporalanalysisofthemathematicalmodellingprocessofafermiproblem AT carmenmelchor madintroducingmisconceptionsinthetemporalanalysisofthemathematicalmodellingprocessofafermiproblem AT giselachaparro madintroducingmisconceptionsinthetemporalanalysisofthemathematicalmodellingprocessofafermiproblem
_version_	1718412447452233728

MAD+. Introducing Misconceptions in the Temporal Analysis of the Mathematical Modelling Process of a Fermi Problem

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