The Indivisibles: A Travel in Time and Space from Archimedes to Cavalieri = es indivisibles: un voyage dans le temps et l'espace d’Archimède à Cavalieri
Articolo
Data di Pubblicazione:
2019
Citazione:
The Indivisibles: A Travel in Time and Space from Archimedes to Cavalieri = es indivisibles: un voyage dans le temps et l'espace d’Archimède à Cavalieri / G.G. Bini. - In: QUADERNI DI RICERCA IN DIDATTICA. - ISSN 1592-4424. - 2:suppl. 3(2019), pp. 159-165. (Intervento presentato al 70. convegno CIEAEM tenutosi a Mostaganem nel 2018).
Abstract:
This paper presents a teaching experiment that brings together the history of mathematics and mathematics laboratory of three-dimensional Euclidean geometry, with the use of artefacts and physical experiences. It has been realized with a class group of 24 high school students (12th grade), who were encouraged to become time
traveller historians and mathematicians, investigating analogies and differences between Archimedes’ and Cavalieri’s methods to estimate volumes. The project had a double goal: from a research point of view, it pointed at evaluating the effectiveness of an historical inspired activity to update students’ common culture about mathematics,
while from a didactical point of view, the aim of this experience was exploiting the feeling of personal discovery that epitomizes hands-on activities as a pivot to promote a critical attitude towards Euclidean geometry as well as to endorse a historical approach to calculus.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
geometry; calculus; indivisibles; history of mathematics; Cavalieri
Elenco autori:
G.G. Bini
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