Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences

Inelsi Palengka; Dwi Juniati; Abadi

doi:10.29333/ejmste/12670

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Inelsi Palengka ¹ ² , Dwi Juniati ¹ ^* , Abadi ³

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¹ Mathematics Education, Universitas Negeri Surabaya, Jawa Timur, INDONESIA² Mathematics Education, Universitas Kristen Indonesia Toraja, Tana Toraja, INDONESIA³ Universitas Negeri Surabaya^* Corresponding Author

Abstract

This study aims to investigate algorithmic reasoning and creative reasoning of prospective mathematics teachers in solving problems. This research is a qualitative research. The research subjects are prospective mathematics teachers with high working memory capacity (HWMC) and low working memory capacity (LWMC). Based on the results on algorithmic reasoning, it is known that for subjects with HWMC using algorithms to solve the given problems. While subjects with LWMC using sum and multiplication rules to solve the given problems. On creative mathematical reasoning it is known that for subjects with HWMC using a novel strategy, providing predictive and verification reasons for the selection of strategies, and providing convincing reasons accordance with the intrinsic mathematical properties. While subjects with low memory capacity had difficulty providing a verification reason and the reason that the way of solving was in accordance with the intrinsic mathematical properties.

Keywords

mathematical reasoning
open ended
problem-solving
working memory capacity

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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, 2022, Volume 18, Issue 12, Article No: em2193

https://doi.org/10.29333/ejmste/12670

Publication date: 25 Nov 2022

Article Views: 1168

Article Downloads: 737

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How to cite this article

APA

Palengka, I., Juniati, D., & Abadi (2022). Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences. Eurasia Journal of Mathematics, Science and Technology Education, 18(12), em2193. https://doi.org/10.29333/ejmste/12670

Vancouver

Palengka I, Juniati D, Abadi. Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences. EURASIA J Math Sci Tech Ed. 2022;18(12):em2193. https://doi.org/10.29333/ejmste/12670

AMA

Palengka I, Juniati D, Abadi. Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences. EURASIA J Math Sci Tech Ed. 2022;18(12), em2193. https://doi.org/10.29333/ejmste/12670

Chicago

Palengka, Inelsi, Dwi Juniati, and Abadi. "Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences". Eurasia Journal of Mathematics, Science and Technology Education 2022 18 no. 12 (2022): em2193. https://doi.org/10.29333/ejmste/12670

Harvard

Palengka, I., Juniati, D., and Abadi (2022). Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences. Eurasia Journal of Mathematics, Science and Technology Education, 18(12), em2193. https://doi.org/10.29333/ejmste/12670

MLA

Palengka, Inelsi et al. "Mathematical reasoning of prospective mathematics teachers in solving problems based on working memory capacity differences". Eurasia Journal of Mathematics, Science and Technology Education, vol. 18, no. 12, 2022, em2193. https://doi.org/10.29333/ejmste/12670