Changing between representations of elementary functions: students’ competencies and differences with a specific perspective on school track and gender

Functional thinking is characterized as a specific way of thinking in relationships, dependencies, and changes. Hence, beyond mathematics, it is also crucial for other (STEM) disciplines as well as for everyday situations. In particular, dealing with different representations of functions and changi...

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Main Authors: Sproesser, Ute (Author) , Vogel, Markus (Author) , Dörfler, Tobias (Author) , Eichler, Andreas (Author)
Format: Article (Journal)
Language:English
Published: 15 April 2022
In: International journal of STEM education
Year: 2022, Volume: 9, Pages: 1-18
ISSN:2196-7822
DOI:10.1186/s40594-022-00350-2
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1186/s40594-022-00350-2
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Author Notes:Ute Sproesser, Markus Vogel, Tobias Dörfler and Andreas Eichler
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Summary:Functional thinking is characterized as a specific way of thinking in relationships, dependencies, and changes. Hence, beyond mathematics, it is also crucial for other (STEM) disciplines as well as for everyday situations. In particular, dealing with different representations of functions and changing between them are core function-related competencies, which are correspondingly needed for the formation of appropriate concepts and flexible problem-solving in various situations. Therefore, this study investigated students’ (N = 856) competencies related to representational changes of elementary functions and, in particular, assessed which changes are especially easy or difficult for students. Moreover, possible school track and gender differences were investigated by performing DIF analyses within the framework of Rasch modeling. The data were gathered using a paper-pencil test administered after the students had completed the teaching unit on linear functions in their mathematics lessons.
Item Description:Gesehen am 11.05.2022
Physical Description:Online Resource
ISSN:2196-7822
DOI:10.1186/s40594-022-00350-2