This paper introduces two types of abduction associated to two different ways of generating conjectures that arise from using a particular dragging modality in dynamic geometry. We refer to such dragging modality as maintaining dragging (MD). A first use of MD relies on physical dragging-support and it seems to lead the solver “automatically” to the formulation of a conjecture. In this case the abductive reasoning seems to occur at a meta-level and to be concealed within the MD instrument. On the other hand, some of our data shed light onto a different way of generating conjectures which is rooted in use of MD but is “freed” from the physical dragging-support. In this case abductive reasoning seems to occur at the level of the dynamic exploration.
Abduction in Generating Conjectures in dynamic Geometry through Maintaining Dragging / BACCAGLINI FRANK, ANNA ETHELWYN. - ELETTRONICO. - (2011), pp. 110-119. (Intervento presentato al convegno 7th Congress of the European Society for Research in Mathematics Education tenutosi a Rzeszow nel 9-13 febbraio).
Abduction in Generating Conjectures in dynamic Geometry through Maintaining Dragging
BACCAGLINI FRANK, ANNA ETHELWYN
2011
Abstract
This paper introduces two types of abduction associated to two different ways of generating conjectures that arise from using a particular dragging modality in dynamic geometry. We refer to such dragging modality as maintaining dragging (MD). A first use of MD relies on physical dragging-support and it seems to lead the solver “automatically” to the formulation of a conjecture. In this case the abductive reasoning seems to occur at a meta-level and to be concealed within the MD instrument. On the other hand, some of our data shed light onto a different way of generating conjectures which is rooted in use of MD but is “freed” from the physical dragging-support. In this case abductive reasoning seems to occur at the level of the dynamic exploration.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.