In mathematical practices ostensive (symbols, graphs,etc.) and non-ostensive objects (brought to mind when doing mathematics), which are textually, orally,graphically or even gesturally represented intervene. New objects that come from the system of practices and explain their organization and structure (types of problems, procedures, definitions, properties, arguments), emerge.4 If the system of practices is shared within an institution, the emerging objects are considered to be ‘‘institutional objects’’, whilst if these systems correspond to a person they are considered as‘‘personal objects’’.5 The following types of primary mathematical objects are proposed:
In mathematical practices ostensive (symbols, graphs,etc.) and non-ostensive objects (brought to mind when doing mathematics), which are textually, orally,graphically or even gesturally represented intervene. New objects that come from the system of practices and explain their organization and structure (types of problems, procedures, definitions, properties, arguments), emerge.4 If the system of practices is shared within an institution, the emerging objects are considered to be ‘‘institutional objects’’, whilst if these systems correspond to a person they are considered as‘‘personal objects’’.5 The following types of primary mathematical objects are proposed:
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