In this paper I will demonstrate a consequence at times manifest in the semiotic transformations involving the treatment and conversion of a semiotic representation whose sense derives from a shared practice. The shift from one representation of a mathematical object to another via transformations, on the one hand maintains the meaning of the object itself, but on the other can change its sense. This is demonstrated in detail through a specific example, while at the same time it is collocated within a broad theoretical framework that poses fundamental questions concerning mathematical objects, their meanings and their representations.
Change of the meaning of mathematical objects due to the passage between their different representations. How other disciplines can be useful to the analysis of this phenomenon / . D’Amore B.; Fandino Pinilla M.I.. - ELETTRONICO. - (2007). (Intervento presentato al convegno Symposium on the occasion of the 100th anniversary of ICMI. tenutosi a Roma nel 5-8 Marzo 2008).
Change of the meaning of mathematical objects due to the passage between their different representations. How other disciplines can be useful to the analysis of this phenomenon.
D'AMORE, BRUNO;FANDINO, MARTHA ISABEL
2007
Abstract
In this paper I will demonstrate a consequence at times manifest in the semiotic transformations involving the treatment and conversion of a semiotic representation whose sense derives from a shared practice. The shift from one representation of a mathematical object to another via transformations, on the one hand maintains the meaning of the object itself, but on the other can change its sense. This is demonstrated in detail through a specific example, while at the same time it is collocated within a broad theoretical framework that poses fundamental questions concerning mathematical objects, their meanings and their representations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.