Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models

Simone Jablonski

doi:10.29333/ejmste/14321

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Simone Jablonski ¹ ^*

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¹ Goethe University Frankfurt, Frankfurt, GERMANY^* Corresponding Author

Abstract

Mathematical modelling aims at contributing to the involvement of reality in mathematics education. As an example, geometric modelling can be implemented by the use of real objects in modelling tasks. Still, (geometric) modelling tasks can be a challenge for students, especially in the transfer from reality to mathematics, which is referred to as mathematization. Since the representation of a real object in tasks might differ, the question arises, which challenges can be observed when working in different task settings. In a study with 19 secondary school students, the task settings (1) outdoors at the real object, (2) indoors with photos of the real object, and (3) indoors with a 3D model of the real object are compared. Based on video recordings, differences concerning the students’ challenges are examined. The results highlight challenges in estimating and measuring when working at the real object, scale and perspective when working with photos and the transfer between representation and object when working with 3D models.

Keywords

geometric modelling
mathematizing
reality
tasks
contexts

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2024, Volume 20, Issue 3, Article No: em2414

https://doi.org/10.29333/ejmste/14321

Publication date: 03 Mar 2024

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Article Downloads: 228

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How to cite this article

APA

Jablonski, S. (2024). Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models. Eurasia Journal of Mathematics, Science and Technology Education, 20(3), em2414. https://doi.org/10.29333/ejmste/14321

Vancouver

Jablonski S. Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models. EURASIA J Math Sci Tech Ed. 2024;20(3):em2414. https://doi.org/10.29333/ejmste/14321

AMA

Jablonski S. Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models. EURASIA J Math Sci Tech Ed. 2024;20(3), em2414. https://doi.org/10.29333/ejmste/14321

Chicago

Jablonski, Simone. "Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 3 (2024): em2414. https://doi.org/10.29333/ejmste/14321

Harvard

Jablonski, S. (2024). Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models. Eurasia Journal of Mathematics, Science and Technology Education, 20(3), em2414. https://doi.org/10.29333/ejmste/14321

MLA

Jablonski, Simone "Challenges in geometric modelling–A comparison of students’ mathematization with real objects, photos, and 3D models". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 3, 2024, em2414. https://doi.org/10.29333/ejmste/14321