The role of Mathematical Semiotic Signs in Enhancing Working Memory and Inhibition as the Components of Executive Functions

In this paper, we draw on Charles Sanders Pierce's typology of semiotic signs and suggest that the three types of signs (icon, index, and symbol) enhance working memory and inhibition through three different mechanisms: icons support the process of embodiment; indexes strengthen focus of attention; symbols enhance the process of generalization. Mathematical icons enhance the process of embodying mathematical entities. They help the individual hold the information associated with a mathematical entity in the visual working memory and suppress information that is irrelevant to the task. Indexes strengthen focus of attention by directly referring to the place of mathematical entities and disregarding contextually-irrelevant stimuli. Symbols enhance the process of generalization by suppressing low-level information and reducing the load on working memory. Since cognitive flexibility as the third component of executive functions builds on working memory and inhibition, it can be hypothesized that mathematical signs contribute to this component as well.