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 calculator environment and structured in accordance with a learning trajectory from identifying the graphical phenomenon of local linearity to its mathematical formulation. This learning trajectory involves the reconstruction of the relationship with the tangent line to a curve at a chosen point. The analysis shows the use of different semiotic systems in order to grasp this phenomenon and construct its mathematical meaning.

Graphic calculators and micro-straightness: analysis of a didactical engineering / Maschietto, Michela. - In: INTERNATIONAL JOURNAL OF COMPUTERS FOR MATHEMATICAL LEARNING. - ISSN 1382-3892. - STAMPA. - 13:(2008), pp. 207-230. [10.1007/s10758-008-9141-7]

Graphic calculators and micro-straightness: analysis of a didactical engineering

MASCHIETTO, Michela
2008

Abstract

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 calculator environment and structured in accordance with a learning trajectory from identifying the graphical phenomenon of local linearity to its mathematical formulation. This learning trajectory involves the reconstruction of the relationship with the tangent line to a curve at a chosen point. The analysis shows the use of different semiotic systems in order to grasp this phenomenon and construct its mathematical meaning.
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207
230
Graphic calculators and micro-straightness: analysis of a didactical engineering / Maschietto, Michela. - In: INTERNATIONAL JOURNAL OF COMPUTERS FOR MATHEMATICAL LEARNING. - ISSN 1382-3892. - STAMPA. - 13:(2008), pp. 207-230. [10.1007/s10758-008-9141-7]
Maschietto, Michela
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/611968
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