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Original Articles

Formation of Mathematical Objects as Decision Making

Pages 337-350 | Published online: 18 Nov 2009
 

Abstract

When taken literally, mathematical texts are concerned with objects of a specific kind and learning mathematics, among other things, requires students to make sense of those mathematical objects. Understanding mathematical objects is commonly described as a cognitive construction. It is proposed and substantiated that for those objects to emerge for the individual, the construction processes have to be supplemented by a deliberate decision to view, treat, use, and investigate a structure or a collection of items as a unified object. This decision strongly depends on the mediation by symbols, diagrams, and notational systems.

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