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Making sense of students' sense making: Revisiting the case of Colin through the lenses of the structural abstraction framework

Authors :
Pinto, Marcia
Scheiner, Thorsten
Universidade Federal do Rio de Janeiro (UFRJ)
Universität Hamburg (UHH)
Source :
First conference of International Network for Didactic Research in University Mathematics, First conference of International Network for Didactic Research in University Mathematics, Mar 2016, Montpellier, France
Publication Year :
2016
Publisher :
HAL CCSD, 2016.

Abstract

International audience; Here we use the evolving framework of structural abstraction as a theoretical lens to investigate how mathematics major university students understand the limit concept of a sequence. To this aim the theoretical framework is outlined and previous empirical data on one individual's partial (re-)construction of a convergent sequence is revisited. In doing so, we provide insights in how students who consider the formal definition of a mathematical concept as one of the components of their concept image involve it into their overall mathematical discourse when building new knowledge. Deeper analysis also reveals unsettled issues about structural abstraction and provides new directions for advancing our understanding of this kind of abstraction.

Details

Language :
French
Database :
OpenAIRE
Journal :
First conference of International Network for Didactic Research in University Mathematics, First conference of International Network for Didactic Research in University Mathematics, Mar 2016, Montpellier, France
Accession number :
edsair.dedup.wf.001..fe6bfc6caebedb8c10270710f8b4f8d8