This article discusses three types of activities in the context of dynamic geometry at the high school level, with the aim of highlighting some aspects of the potential they carry with respect to educational goals such as (1) developing competence in the mathematical activity of conjecture-generation, and (2) fostering students' construction and enhancement of the mathematical notions of conditionality, conjecture, and premise and conclusion of a conditional statement. The article highlights aspects that can emerge from the activities, that it is important to be aware of in order to reach the proposed educational goals. In particular, the article emphasizes the utility of developing awareness around the notions of direct and indirect invariants in the context of dynamic geometry for fostering, on one hand, conjecture-generation, and, on the other hand, the emergence of meanings of specific mathematical notions (in particular those of conditionality, conjecture, and premise and conclusion of a conditional statement) through students' individual written work and through the orchestration of collective mathematical discussions.
Questo articolo presenta tre tipologie di attività da svolgere, nella scuola superiore e nel contesto della geometria dinamica, evidenziandone alcune potenzialità rispetto agli obiettivi didattici di (1) sviluppare competenze nell'attività di produzione di congetture, (2) costruire e rafforzare le nozioni matematiche di condizionalità, congettura, premessa e conclusione di un enunciato condizionale. L'articolo mette in luce come lo sviluppo di una consapevolezza legata agli invarianti diretti e indiretti possa favorire, da un lato, l'attività di produzione di congetture e, dall'altro, l'emergere di significati di specifiche nozioni matematiche (quali condizionalità, congettura, premessa e conclusione di un enunciato condizionale).
Potenzialità Didattiche di Alcune Tipologie di Attività in Geometria Dinamica / BACCAGLINI FRANK, ANNA ETHELWYN. - In: L'INSEGNAMENTO DELLA MATEMATICA E DELLE SCIENZE INTEGRATE. - ISSN 1123-7570. - STAMPA. - 35B:(2012), pp. 27-50.
Potenzialità Didattiche di Alcune Tipologie di Attività in Geometria Dinamica
BACCAGLINI FRANK, ANNA ETHELWYN
2012
Abstract
This article discusses three types of activities in the context of dynamic geometry at the high school level, with the aim of highlighting some aspects of the potential they carry with respect to educational goals such as (1) developing competence in the mathematical activity of conjecture-generation, and (2) fostering students' construction and enhancement of the mathematical notions of conditionality, conjecture, and premise and conclusion of a conditional statement. The article highlights aspects that can emerge from the activities, that it is important to be aware of in order to reach the proposed educational goals. In particular, the article emphasizes the utility of developing awareness around the notions of direct and indirect invariants in the context of dynamic geometry for fostering, on one hand, conjecture-generation, and, on the other hand, the emergence of meanings of specific mathematical notions (in particular those of conditionality, conjecture, and premise and conclusion of a conditional statement) through students' individual written work and through the orchestration of collective mathematical discussions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.