The paper describes an approach to Calculus in secondary schools within technological environments. It illustrates a case study, where the concept of function is introduced in the 9th grade using a motion sensor connected to a calculator. Pupils can move and see the Cartesian representation of their movement produced by the calculator in real time, on a space-time graph. The paper analyses some protocols from working groups and class discussion. Within a general Vygotskian frame, the authors use different complementary tools to analyse the situation: the embodied cognition by Lakoff and Nuñez, the instrumental approach by Rabardel, the cultural- semiotic approach by Radford. In particular the role of the perceptuo-motor activity in the conceptualization of mathematics is stressed. In the end, some problems and lines of investigations are pointed out.

Approaching functions through motion experiments / F. Arzarello; O. Robutti. - In: EDUCATIONAL STUDIES IN MATHEMATICS. - ISSN 0013-1954. - 57 (3)(2004), pp. 305-308.

Approaching functions through motion experiments

ARZARELLO, Ferdinando;ROBUTTI, Ornella
2004

Abstract

The paper describes an approach to Calculus in secondary schools within technological environments. It illustrates a case study, where the concept of function is introduced in the 9th grade using a motion sensor connected to a calculator. Pupils can move and see the Cartesian representation of their movement produced by the calculator in real time, on a space-time graph. The paper analyses some protocols from working groups and class discussion. Within a general Vygotskian frame, the authors use different complementary tools to analyse the situation: the embodied cognition by Lakoff and Nuñez, the instrumental approach by Rabardel, the cultural- semiotic approach by Radford. In particular the role of the perceptuo-motor activity in the conceptualization of mathematics is stressed. In the end, some problems and lines of investigations are pointed out.
57 (3)
305
308
F. Arzarello; O. Robutti
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/103363
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