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Cognitive processes underlying mathematical concept construction: The missing process of structural abstraction
Scheiner, Thorsten Pinto, Márcia M. F.
Scheiner, Thorsten
Pinto, Márcia M. F.
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Abstract
The purpose of this paper is twofold: On the one hand, this work frames a variety of considerations on cognitive processes underlying mathematical concept construction in two research strands, namely an actions-first strand and an objects-first strand, that mainly shapes past and current approaches on abstraction in learning mathematics. This classification provides the identification of an often overlooked fundamental cognitive process, namely structural abstraction. On the other hand, this work shows a theory-driven and research-based approach illuminating the hidden architecture of cognitive processes involved in structural abstraction that gives new insights into an integrated framework on abstraction in learning mathematics. Based on our findings in empirical investigations, the paper outlines a theoretical framework on the cognitive processes taking place on mental (rather than physical) objects.
Keywords
Date
2014
Type
Conference item
Journal
Book
Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference
Volume
Issue
Page Range
105-112
Article Number
ACU Department
Institute for Learning Sciences and Teacher Education (ILSTE)
Faculty of Education and Arts
Faculty of Education and Arts
Relation URI
DOI
Event URL
Open Access Status
Open access
License
File Access
Open