Abstract

AbstractTheoretical aspects of symbol systems and the theories of conceptual fields and representation by Vergnaud are used to unpack the symbols and formalism competency. We illustrate how mathematical symbols are initially used as labels for phenomena in concrete situations or through iconic representations. Later, however, developing mathematical symbols and formalism competency involves making an epistemological shift, where the situational or iconical grounding for the formalism must be replaced by a grounding involving relations in symbol systems. The introduction of digital tools, for example, programming, can complicate the relationship between grounding situations and formalism and hence needs specific didactical attention.KeywordsSymbol systemsMathematical formalismProgrammingNetworking theoriesKOM-framework

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