### Abstract

© The Author(s) & Dept. of Mathematical Sciences-The University of Montana. In this paper, we present a qualitative study in which we analyse the videorecordings of four groups of students solving Fermi Problems. Previous studies show that Secondary School students solve this type of problems using complex problem solving processes and developing mathematical models. In order to analyse the students' problem solving processes, so-called Modelling Activity Diagrams were used. The results of the present study demonstrate that solving Fermi problems is a complex matter, and that some of the theoretical tools used in the field of Mathematical Education fail to adequately reflect this level of complexity. In addition, Modelling Activity Diagrams are presented as a more detailed analysis tool to characterise student choices and actions, as well as to make the structure of the Fermi problem addressed more visible.

Original language | English |
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Pages (from-to) | 211-230 |

Journal | Mathematics Enthusiast |

Volume | 16 |

Issue number | 1 |

Publication status | Published - 1 Jan 2019 |

### Keywords

- Fermi problems
- Mathematical modelling
- Modelling Activity Diagrams
- Secondary School

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## Cite this

Albarracín, L., Ärlebäck, J., Civil, E., & Gorgorió, N. (2019). Extending modelling activity diagrams as a tool to characterise mathematical modelling processes.

*Mathematics Enthusiast*,*16*(1), 211-230.