Semiotic analyses of actions on digital and analogue material when sorting data in primary school

Lara Kristina Billion

doi:10.29333/ejmste/12138

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Lara Kristina Billion ¹ ^*

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¹ Institute for Mathematics and Computer Science Education, Goethe-University Frankfurt, GERMANY^* Corresponding Author

Abstract

This paper focuses on the actions of learners on digital and analogue materials while dealing with a statistical problem. To investigate the learners’ actions, a semiotic perspective of mathematical learning according to C. S. Peirce is used, since in this perspective learning mathematics is described as visible activities on diagrams. Through a qualitative semiotic analysis of the actions of two third-graders working with given data, the statistical diagram interpretations of the learners can be reconstructed. A comparison of the reconstructed diagram interpretations reveals whether different movements lead to similar diagram interpretations. In addition, it is of interest whether the diagram interpretations are the same when acting on digital and analogue diagrams because the same mathematical relationships have to be observed. Through this comparison, conclusions can be drawn about the similarities and differences in working with digital and analogue materials and how these materials may be used profitably in statistical learning.

Keywords

diagrammatic reasoning
mathematical actions
primary school children
semiotic perspective on learning mathematics
statistical learning

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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, Volume 18, Issue 7, July 2022, Article No: em2126

https://doi.org/10.29333/ejmste/12138

Publication date: 03 Jun 2022

Article Views: 2136

Article Downloads: 1159

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Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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How to cite this article

APA

Billion, L. K. (2022). Semiotic analyses of actions on digital and analogue material when sorting data in primary school. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2126. https://doi.org/10.29333/ejmste/12138

Vancouver

Billion LK. Semiotic analyses of actions on digital and analogue material when sorting data in primary school. EURASIA J Math Sci Tech Ed. 2022;18(7):em2126. https://doi.org/10.29333/ejmste/12138

AMA

Billion LK. Semiotic analyses of actions on digital and analogue material when sorting data in primary school. EURASIA J Math Sci Tech Ed. 2022;18(7), em2126. https://doi.org/10.29333/ejmste/12138

Chicago

Billion, Lara Kristina. "Semiotic analyses of actions on digital and analogue material when sorting data in primary school". Eurasia Journal of Mathematics, Science and Technology Education 2022 18 no. 7 (2022): em2126. https://doi.org/10.29333/ejmste/12138

Harvard

Billion, L. K. (2022). Semiotic analyses of actions on digital and analogue material when sorting data in primary school. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2126. https://doi.org/10.29333/ejmste/12138

MLA

Billion, Lara Kristina "Semiotic analyses of actions on digital and analogue material when sorting data in primary school". Eurasia Journal of Mathematics, Science and Technology Education, vol. 18, no. 7, 2022, em2126. https://doi.org/10.29333/ejmste/12138