6533b82afe1ef96bd128b973

RESEARCH PRODUCT

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

Marta Pla–castellsGisela ChaparroCarmen Melchor

subject

Theoretical computer sciencePublic AdministrationestimationGroup (mathematics)Computer scienceProcess (engineering)Physical Therapy Sports Therapy and RehabilitationContext (language use)Resolution (logic)mathematics educationLMatemàtica EnsenyamentComputer Science ApplicationsEducationsymbols.namesakeFermi problemsDevelopmental and Educational PsychologyComputer Science (miscellaneous)symbolsFermi problemmodelling activity diagramsmathematical modellingRepresentation (mathematics)

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.

10.3390/educsci11110747http://dx.doi.org/10.3390/educsci11110747