Definition
Abstraction has been the focus of extensive interest in several domains, including Mathematics Education. Many researchers have taken a predominantly theoretical stance and have described abstraction as some type of de-contextualization. Abstraction in context (AiC; Hershkowitz et al. 2001) proposes a quite different approach to abstraction. The following is the operational definition of AiC:
Abstraction in Context is an activity of vertically reorganizing previously constructed mathematics into a new mathematical structure.
The term activity above emphasizes that abstraction in context (AiC) is considered to be a process taking place in a specific context; it may capitalize on tools and other artifacts and it occurs in a particular social setting. The phrase previously constructed mathematics refers to the outcomes of previous processes of abstraction, which may be used during the current abstraction activity. The phrase reorganizing into a new structureimplies the...
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Hershkowitz, R., Dreyfus, T., Schwarz, B.B. (2018). Abstraction in Context. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-77487-9_100032-1
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