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Sofie Van den Eynde, Benjamin P. Schermerhorn, Johan Deprez, M.J. Goedhart, John R. Thompson, and Mieke De Cock
In recent years, there has been an increased interest in conceptual blending in physics and mathematics education research as a theoretical framework to study student reasoning. In this paper, we adapt the conceptual blending framework to construct a blending diagram that not only captures the product but also the process of student reasoning when they interpret a mathematical description of a physical system. We describe how to construct a dynamic blending diagram (DBD) and illustrate this using two cases from an interview study. In the interview, we asked pairs of undergraduate physics and mathematics students about the physical meaning of boundary conditions for the heat equation. The selected examples show different aspects of the DBD as an analysis method. We show that by using a DBD, we can judge the degree to which students integrate their understandings of mathematics and physics. The DBD also enables the reader to follow the line of reasoning of the students. Moreover, a DBD can be used to diagnose difficulties in student reasoning.
Physical Review Physics Education Research: Volume 16, Issue 1, Pages 010114
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15394">Van den Eynde, S, B. Schermerhorn, J. Deprez, M. Goedhart, J. Thompson, and M. De Cock. "Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation." Phys. Rev. Phys. Educ. Res. 16, no. 1, (March 27, 2020): 010114.</a>
AIP Format
S. Van den Eynde, B. Schermerhorn, J. Deprez, M. Goedhart, J. Thompson, and M. De Cock, , Phys. Rev. Phys. Educ. Res. 16 (1), 010114 (2020), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.16.010114).
AJP/PRST-PER
S. Van den Eynde, B. Schermerhorn, J. Deprez, M. Goedhart, J. Thompson, and M. De Cock, Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation, Phys. Rev. Phys. Educ. Res. 16 (1), 010114 (2020), <https://doi.org/10.1103/PhysRevPhysEducRes.16.010114>.
APA Format
Van den Eynde, S., Schermerhorn, B., Deprez, J., Goedhart, M., Thompson, J., & De Cock, M. (2020, March 27). Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation. Phys. Rev. Phys. Educ. Res., 16(1), 010114. Retrieved May 2, 2025, from https://doi.org/10.1103/PhysRevPhysEducRes.16.010114
Chicago Format
Van den Eynde, S, B. Schermerhorn, J. Deprez, M. Goedhart, J. Thompson, and M. De Cock. "Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation." Phys. Rev. Phys. Educ. Res. 16, no. 1, (March 27, 2020): 010114, https://doi.org/10.1103/PhysRevPhysEducRes.16.010114 (accessed 2 May 2025).
MLA Format
Van den Eynde, Sofie, Benjamin P. Schermerhorn, Johan Deprez, M.J. Goedhart, John Thompson, and Mieke De Cock. "Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation." Phys. Rev. Phys. Educ. Res. 16.1 (2020): 010114. 2 May 2025 <https://doi.org/10.1103/PhysRevPhysEducRes.16.010114>.
BibTeX Export Format
@article{
Author = "Sofie Van den Eynde and Benjamin P. Schermerhorn and Johan Deprez and M.J. Goedhart and John Thompson and Mieke De Cock",
Title = {Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation},
Journal = {Phys. Rev. Phys. Educ. Res.},
Volume = {16},
Number = {1},
Pages = {010114},
Month = {March},
Year = {2020}
}
Refer Export Format
%A Sofie Van den Eynde %A Benjamin P. Schermerhorn %A Johan Deprez %A M.J. Goedhart %A John Thompson %A Mieke De Cock %T Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation %J Phys. Rev. Phys. Educ. Res. %V 16 %N 1 %D March 27, 2020 %P 010114 %U https://doi.org/10.1103/PhysRevPhysEducRes.16.010114 %O application/pdf
EndNote Export Format
%0 Journal Article %A Van den Eynde, Sofie %A Schermerhorn, Benjamin P. %A Deprez, Johan %A Goedhart, M.J. %A Thompson, John %A De Cock, Mieke %D March 27, 2020 %T Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation %J Phys. Rev. Phys. Educ. Res. %V 16 %N 1 %P 010114 %8 March 27, 2020 %U https://doi.org/10.1103/PhysRevPhysEducRes.16.010114 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. |
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