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Introduzione e dei differenti effetti di «costruzione» della personalità connessi ai processi culturali, nazionali e transnazionali, in particolare in età contemporanea. Non si tratta, allora, soltanto di focalizzare meglio nuovi campi di... more
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      History of EducationPhilosophy of EducationHigher EducationDemocratic Theory
RESUMEn: Don Milani invitaba a analizar los métodos y los resultados. Don Milani rechazaba mostrar su método en la escuela, porque la escuela entera, la es-cuela en cuanto tal, era el método. La palabra, en San Donato, para abrir a los... more
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      History of EducationItalian PedagogyDon Bosco
RESUMEn: Don Milani invitaba a analizar los métodos y los resultados. Don Milani rechazaba mostrar su método en la escuela, porque la escuela entera, la es-cuela en cuanto tal, era el método. La palabra, en San Donato, para abrir a los... more
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    • History of Education
This paper presents some elements of our study on the construction of mathematical meanings in terms of development of semiotic systems (gestures, speech in oral and written form, drawings) in a Vygotskian framework with reference to... more
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In our research work, we have looked at the way in which artefacts become, for teachers as well as for students, instruments of their mathematical activity. The issues related to the use of tools and technologies in mathematical education... more
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The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus... more
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This paper reports a part of a study on the construction of mathematical meanings in terms of development of semiotic systems (gestures, speech in oral and written form, drawings) in a Vygotskian framework, where artefacts are used as... more
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    • Curriculum and Pedagogy
This paper concerns the analysis of a didactic engineering, the aim of which is to introduce Calculus, at secondary-school level, through the relationship between global and local points of view. It was designed for a graphic–symbolic... more
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      EngineeringCalculusEducational TechnologyHandheld Devices
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We shall summarize some findings of two studies (Bartolini et al., 1999; Bartolini et al. in press) concerning primary school. In the former we have studied the genesis of a germ theory of the functioning of gears. In the latter we have... more
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Mathematical objects cannot be easily grasped by our senses, mathematical rules are often against everyday reasoning. This creates well known problems in the popularization and in the teaching and learning of mathematics. Mathematics is... more
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Questo articolo è centrato sulla prospettiva dal punto di vista storico e didattico. In una prima parte, si presentano alcuni elementi del percorso storico che ha portato all'affermarsi delle regole della prospettiva e ai principi della... more
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L’article se réfère à une recherche récente menée en didactique de l’analyse visant à étudier l’introduction à ce champ des mathématiques dans l’environnement de calculatrices graphiques et formelles. Cela est réalisé par la mise en jeu... more
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Cette contribution présente des éléments d’une expérimentation didactique conduite à l’école primaire sur une machine à calculer. L’objectif est d’amener les élèves d’une part à réfléchir sur les procédures de calcul selon les instruments... more
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"Il presente lavoro analizza la prima parte di una sperimentazione didattica che coinvolge una quinta elementare, caratterizzato dal ricorso alla macchina aritmetica “Zero+1” per consentire una riflessione sulla notazione posizionale che... more
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Cette contribution présente un bilan des Journées DIES. Elle met en évidence des points considérés comme pertinents pour le travail sur les démarches d’investigation dans diverses disciplines en s’appuyant sur les discussions et les... more
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Cette contribution présente certains aspects d’un projet de formation professionnelle sur le laboratoire de mathématiques, centré sur l’utilisation d’artefacts particuliers pour l’enseignement et l’apprentissage des mathématiques, nommés... more
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