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    Percorsi di lettura attraverso i primi quattro libri degli Elementi di Euclide : teoria delle parallele, teoria dell’equivalenza e poligoni regolari

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    Proof lies at the heart of Mathematics: proof is a method to certify not only that something is true but also why it is true. How can teachers develop effective strategies to increase students’ appreciation of the different functions of proof and to motivate students to prove theorems? Proof has not enjoyed the same prominence in all periods: could the History of Mathematics help students better appreciate the role of proof in different contexts

    Guido Castelnuovo e il problema della formazione dei docenti di matematica

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    This work aims to enlighten Castelnuovo's role in forming mathematics teachers. This stands out by examining some of his "Quaderni" (Hand Notes) of Higher Geometry Courses. In his lectures Castelnuovo stressed the importance of two subjects pointed out by Felix Klein at the end of XIX century: "Elementary Mathematics from an advanced standpoint" and "Mathematics of precision vs Mathematics of approximation". His "Quaderni" show how he was led to new interests, mainly Probability and Actuarial Mathematics

    Percorsi di lettura attraverso i primi libri degli "Elementi" di Euclide : introduzione

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    In recent years I have been teaching a one-semester Course on elementary geometry for future teachers. The Course begins with a critical examination of Euclid's Elements. In this paper I suggest a reading of the first four books trating some of the most critical themes in learning geometry

    Guido Castelnuovo : l'uomo e lo scienziato

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    Guido Castelnuovo (1865-1952) is one of the most outstanding personalities in the Italian school of Algebraic Geometry, he himself had contributed to found. His long life allowed him to be a testimony and a protagonist of the most significant events in Italy after its unification. Starting from the first years of the 20th century he oriented his mathematical interests towards Probability, Statistics, Actuarial Mathematics, Physics, History of Mathematics and Teaching. This paper goes through his life focusing on the aspects which seem to be particularly significant in understanding the evolution of his scientific interests
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