3.5 Contextual attributes
3.5 Contextual attributes
The notion of language game (Wittgenstein, 1953) plays an important role together with that of institution in our model. Here, we refer to contextual factors to which the meanings of mathematical objects are relative and which attribute a functional nature to them. Mathematical objects intervening in mathematical practices or emerging from them, depend on the language game in which they take part, and can be considered from the following dual dimensions or facets (Godino, 2002). Personal–institutional Institutional objects emerge from systems of practices shared within an institution, while personal objects emerge from specific practices from a person (Godino and Batanero, 1998, pp. 185–186). ‘‘Personal cognition’’ is the result of individual thinking and activity when solving a given class of problems, while ‘‘institutional cognition’’ is the result of dialogue, agreement and regulation within the group of subjects belonging to a community of practices.