Real objects as a reason for mathematical reasoning – A comparison of different task settings

Simone Jablonski

doi:10.29333/iejme/13859

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Simone Jablonski ¹ ^*

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

Abstract

In this article, the goal is to describe students’ mathematical reasoning in the context of different settings of problem-solving tasks. The core of the tasks are real objects, which are presented to the students with the help of photos, a 3D model or in the environment itself. With reference to the experiential learning theory and relations to problem-solving and modelling, theoretical potentials for mathematical reasoning emerge. In a qualitative study with 19 secondary school students these are empirically tested. The evaluation of the video recordings of the students’ solution processes are coded with the help of qualitative content analysis, among others with references to problem-solving and linguistic categories of conclusive speech acts. The results show that mathematical reasoning can be observed especially in the work with photos and that the work with real objects generally evokes reasoning activities in the area of planning and exploration of strategies.

Keywords

argumentation
mathematical reasoning
outdoor mathematics
problem-solving
task settings

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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

INT ELECT J MATH ED, 2023, Volume 18, Issue 4, Article No: em0758

https://doi.org/10.29333/iejme/13859

Publication date: 05 Nov 2023

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Article Downloads: 292

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How to cite this article

APA

Jablonski, S. (2023). Real objects as a reason for mathematical reasoning – A comparison of different task settings. International Electronic Journal of Mathematics Education, 18(4), em0758. https://doi.org/10.29333/iejme/13859

Vancouver

Jablonski S. Real objects as a reason for mathematical reasoning – A comparison of different task settings. INT ELECT J MATH ED. 2023;18(4):em0758. https://doi.org/10.29333/iejme/13859

AMA

Jablonski S. Real objects as a reason for mathematical reasoning – A comparison of different task settings. INT ELECT J MATH ED. 2023;18(4), em0758. https://doi.org/10.29333/iejme/13859

Chicago

Jablonski, Simone. "Real objects as a reason for mathematical reasoning – A comparison of different task settings". International Electronic Journal of Mathematics Education 2023 18 no. 4 (2023): em0758. https://doi.org/10.29333/iejme/13859

Harvard

Jablonski, S. (2023). Real objects as a reason for mathematical reasoning – A comparison of different task settings. International Electronic Journal of Mathematics Education, 18(4), em0758. https://doi.org/10.29333/iejme/13859

MLA

Jablonski, Simone "Real objects as a reason for mathematical reasoning – A comparison of different task settings". International Electronic Journal of Mathematics Education, vol. 18, no. 4, 2023, em0758. https://doi.org/10.29333/iejme/13859