The “fusionism” was an attempt to reform the teaching of elementary geometry involving the Italian school (after the French, German and Danish ones) in the last decades of the 1800s and the early 1900s. It intended to introduce plane and solid geometry at the same time, inferring the theorems in plane from space analogs and linking to researches on the foundations of elementary geometry. The treaties that have marked this evolution are the ones by De Paolis (1884) and Lazzeri and Bassani (1891). At the base of the fusionist setting up an important theoretical role was represented by the Desargues's theorem, brought to light by Peano and Hilbert. Mathesis was deeply involved in the debate over the opportunity to reform school curricula in a fusionist perspective.

Il fusionismo è stato un tentativo di riforma dell’insegnamento delle geometria elementare che ha interessato la scuola italiana (dopo quella francese, tedesca e danese) negli ultimi decenni dell’Ottocento e i primi anni del Novecento. Esso intendeva introdurre contemporaneamente la geometria piana e solida, deducendo i teoremi piani dagli analoghi nello spazio e collegandosi alle ricerche sui fondamenti della geometria elementare. I trattati che hanno segnato questa evoluzione sono quelli di De Paolis (1884) e di Lazzeri e Bassani (1891). Alla base dell’impostazione fusionista un ruolo teorico importante rivestiva il teorema di Desargues, messo in luce da Peano e da Hilbert. La Mathesis fu profondamente coinvolta nel dibattuto sull’opportunità di riformare i programmi scolastici in un’ottica fusionista.

### Il fusionismo: moda didattica o riflessione sui fondamenti della geometria?

#### Abstract

The “fusionism” was an attempt to reform the teaching of elementary geometry involving the Italian school (after the French, German and Danish ones) in the last decades of the 1800s and the early 1900s. It intended to introduce plane and solid geometry at the same time, inferring the theorems in plane from space analogs and linking to researches on the foundations of elementary geometry. The treaties that have marked this evolution are the ones by De Paolis (1884) and Lazzeri and Bassani (1891). At the base of the fusionist setting up an important theoretical role was represented by the Desargues's theorem, brought to light by Peano and Hilbert. Mathesis was deeply involved in the debate over the opportunity to reform school curricula in a fusionist perspective.
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2016
Borgato, Maria Teresa
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11392/2352702`