The work finds its place within a project concerning the 'active' introduction of Computer Science in the didactics of Mathematics through the use of the computer as a 'machine for thinking'. In this work, from a Computer Science point of view, a naive approach to the subject of recursivity was faced with great caution, in order to avoid, where possible, the known teaching/learning difficulties associated with it. On the contrary, from a Mathematics point of view, a reflection on the positional representation of the natural numbers and on the changes in base was developed. In the experimentation the pupils, starting from the analysis of the functioning of the odometer and its simulation in Logo, have been able to consciously acquire the rules of passage from the base ten to another base and viceversa and moreover have been able to: i) gain confidence with the use of variables, with the structure of 'string type' and relative primitives; ii) read and interpret simple procedures realized by the teacher and realize simple ricursive procedures; iii) make significant activities of discovery of errors and debugging; iv) go from recursive algorithms to relative direct algorithms.

Dall'avvio alla ricorsività ai cambiamenti di base nei sistemi di numerazione attraverso la simulazione in Logo del contachilometri: descrizione di un'esperienza realizzata in una scuola media / Pellegrino, Consolato; R., Garuti. - In: LA MATEMATICA E LA SUA DIDATTICA. - ISSN 1120-9968. - STAMPA. - 4 (n. 1):(1990), pp. 19-30.

Dall'avvio alla ricorsività ai cambiamenti di base nei sistemi di numerazione attraverso la simulazione in Logo del contachilometri: descrizione di un'esperienza realizzata in una scuola media

PELLEGRINO, Consolato;
1990

Abstract

The work finds its place within a project concerning the 'active' introduction of Computer Science in the didactics of Mathematics through the use of the computer as a 'machine for thinking'. In this work, from a Computer Science point of view, a naive approach to the subject of recursivity was faced with great caution, in order to avoid, where possible, the known teaching/learning difficulties associated with it. On the contrary, from a Mathematics point of view, a reflection on the positional representation of the natural numbers and on the changes in base was developed. In the experimentation the pupils, starting from the analysis of the functioning of the odometer and its simulation in Logo, have been able to consciously acquire the rules of passage from the base ten to another base and viceversa and moreover have been able to: i) gain confidence with the use of variables, with the structure of 'string type' and relative primitives; ii) read and interpret simple procedures realized by the teacher and realize simple ricursive procedures; iii) make significant activities of discovery of errors and debugging; iv) go from recursive algorithms to relative direct algorithms.
1990
4 (n. 1)
19
30
Dall'avvio alla ricorsività ai cambiamenti di base nei sistemi di numerazione attraverso la simulazione in Logo del contachilometri: descrizione di un'esperienza realizzata in una scuola media / Pellegrino, Consolato; R., Garuti. - In: LA MATEMATICA E LA SUA DIDATTICA. - ISSN 1120-9968. - STAMPA. - 4 (n. 1):(1990), pp. 19-30.
Pellegrino, Consolato; R., Garuti
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