Can mathematics educate for peace? |
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Authors: | Anna Rosa Scarafiotti Annarosa Giannetti |
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Institution: | 1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129, Torino, Italy 2. Gruppo CNR, Ricerea e Didattica della Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129, Torino, Italy
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Abstract: | In this paper we simulate a discussion with our students, in which we alternate specific mathematical issues (as the PERT (Program Evaluation and Review Technique) in 1.2, a discrete dynamical system in 2.1 and fractals in 2.2) that can be applied in situations such as the evolution of populations (2.1) or other well-known contexts such as the economic equilibrium theory or the ecological systems. The students are given occasions to deepen both the meaning and use of the studied model. We emphasize those cases where the model leads to analyses of behaviour depending on parameters whose values highlight stable states of dynamic systems (regions of peace) and regions where control over the system evolution is lost, and where the system passes from bifureations to chaos (regions of war). |
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