The first part of the activity focused on the basic study of differential equations (a topic that is not usually covered in the class that took part in the activity). We then went into more depth on the problem of mathematical modeling, which had already been covered the previous year when we studied the SIR model of the spread of an epidemic. Finally, we studied the Lotka-Volterra model, relating to the interaction, on the same territory, of two species of animals, one prey and the other predator. The differential equations obtained were then discretized, and used by a group of students, who developed an app that tracked the progress of the two species, depending on the initial parameters and the birth and death rates. ​

Another group of students was responsible for creating a Powerpoint on the subject, from which a video was later taken by a third group.​

In parallel, the students looked at how to apply the modelling studied to a local scenario. This was identified in the case of the Nebrodi black pig, a species at risk of extinction due to some wicked actions perpetrated by man. This in-depth study, reported in the Powerpoint and in the final video, enabled the students to become aware of a local problem of eco-sustainability, acquiring skills on the local flora and fauna, and becoming aware of how incorrect actions often can lead to serious and sometimes irreparable consequences.

 

After the mathematical study, the results obtained by the individual subgroups and then shared with the whole group were as follows:​

  • acquisition of advanced mathematical skills (modelling and differential analysis);​

  • acquisition of specific computer skills (writing a specific app);​

  • improvement of skills in the use of the English language;​

  • acquisition of good confidence in public speaking in English, learning to manage emotions, both in videoconferences and in live conferences;​

  • improvement of specific skills in the use of Powerpoint and video editing;​

  • acquisition of knowledge on Sicilian ecology and how to learn to defend local flora and fauna.

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