Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics

Alberto Arnal-Bailera; Mónica Arnal-Palacián

doi:10.29333/ejmste/13470

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Alberto Arnal-Bailera ¹ ^* , Mónica Arnal-Palacián ¹

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¹ University of Zaragoza, Zaragoza, SPAIN^* Corresponding Author

Abstract

This manuscript aims to describe aspects of mathematical knowledge for teaching, MKT, identified in pre-service teachers (PSTs) when explaining an arithmetic property using manipulative materials. In particular, we are interested in the specialized mathematical knowledge, SCK, the pedagogical knowledge related to teaching, KCT, and the knowledge of content and curriculum, KCC. We proposed to record a video to a sample of 27 primary education students enrolled in their first mathematics education course. They had to explain an arithmetic property of natural numbers using manipulative materials. PSTs do not create contexts by the mere presence of manipulative material, but only rely on it for visual purposes; the meaning of these values are modified during the explanation. Evidence has been found of difficulties relating to the SCK such as the inadequate varying of the meanings given to the manipulative material, and to the KCC such as the selecting of an unsuitable material.

Keywords

pre-service teachers
manipulative materials
arithmetic properties
MKT

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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, 2023, Volume 19, Issue 9, Article No: em2318

https://doi.org/10.29333/ejmste/13470

Publication date: 01 Sep 2023

Online publication date: 09 Jul 2023

Article Views: 1057

Article Downloads: 696

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How to cite this article

APA

Arnal-Bailera, A., & Arnal-Palacián, M. (2023). Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(9), em2318. https://doi.org/10.29333/ejmste/13470

Vancouver

Arnal-Bailera A, Arnal-Palacián M. Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics. EURASIA J Math Sci Tech Ed. 2023;19(9):em2318. https://doi.org/10.29333/ejmste/13470

AMA

Arnal-Bailera A, Arnal-Palacián M. Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics. EURASIA J Math Sci Tech Ed. 2023;19(9), em2318. https://doi.org/10.29333/ejmste/13470

Chicago

Arnal-Bailera, Alberto, and Mónica Arnal-Palacián. "Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics". Eurasia Journal of Mathematics, Science and Technology Education 2023 19 no. 9 (2023): em2318. https://doi.org/10.29333/ejmste/13470

Harvard

Arnal-Bailera, A., and Arnal-Palacián, M. (2023). Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(9), em2318. https://doi.org/10.29333/ejmste/13470

MLA

Arnal-Bailera, Alberto et al. "Pre-service teachers develop their mathematical knowledge for teaching using manipulative materials in mathematics". Eurasia Journal of Mathematics, Science and Technology Education, vol. 19, no. 9, 2023, em2318. https://doi.org/10.29333/ejmste/13470