Obstacles to Mathematization in Physics: The Case of the Differential

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Title: Obstacles to Mathematization in Physics: The Case of the Differential
Authors: López Gay, Rafael | Martínez Sáez, Julio | Martínez-Torregrosa, Joaquín
Research Group/s: Didáctica de las Ciencias y la Tecnología
Center, Department or Service: Universidad de Alicante. Departamento de Didáctica General y Didácticas Específicas
Keywords: Mathematization | Physics | Differential
Knowledge Area: Didáctica de las Ciencias Experimentales
Issue Date: Jul-2015
Publisher: Springer Science+Business Media Dordrecht
Citation: Science & Education. 2015, 24(5): 591-613. doi:10.1007/s11191-015-9757-7
Abstract: The process of the mathematization of physical situations through differential calculus requires an understanding of the justification for and the meaning of the differential in the context of physics. In this work, four different conceptions about the differential in physics are identified and assessed according to their utility for the mathematization process. We also present an empirical study to probe the conceptions about the differential that are used by students in physics, as well students’ perceptions of how they are expected to use differential calculus in physics. The results support the claim that students have a quasi-exclusive conception of the differential as an infinitesimal increment and that they perceive that their teachers only expect them to use differential calculus in an algorithmic way, without a sound understanding of what are they doing and why. These results are related to the lack of attention paid by conventional physics teaching to the mathematization process. Finally, some proposals for action are put forward.
URI: http://hdl.handle.net/10045/53003
ISSN: 0926-7220 (Print) | 1573-1901 (Online)
DOI: 10.1007/s11191-015-9757-7
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Springer Science+Business Media Dordrecht 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/s11191-015-9757-7
Peer Review: si
Publisher version: http://dx.doi.org/10.1007/s11191-015-9757-7
Appears in Collections:INV - CYT - Otros Trabajos de Investigación

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