Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas

Wayan Rumite; Purwanto Purwanto; I Nengah Parta; Swasono Rahardjo

doi:10.29333/ejmste/13430

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Wayan Rumite ¹ ² , Purwanto Purwanto ¹ , I Nengah Parta ¹ ^* , Swasono Rahardjo ¹

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¹ Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Malang, Jawa Timur, INDONESIA² Universitas Lampung, Kota Bandar Lampung, INDONESIA^* Corresponding Author

Abstract

A mental model is an essential element that influences the quality of problem-solving. This study explores mental models, strategies, and schemes that are active in solving the maximum rectangular area problem. The approach used in this study is a descriptive qualitative approach. A total of four pre-service mathematics teachers as subjects were selected from 108 prospective subjects involved in the study. Data collection was carried out by providing task sheets for solving the most significant rectangular area problem and semi-structured interviews. Data reduction, data presentation, and conclusion are three stages in analyzing the research data. This study indicates three mental models for pre-service mathematics teachers in solving maximum rectangular area problems: initial, adaptive, and formal. Each has different strategies and schemes that are active while solving problems. The results of this study imply that mental models influence the quality of the problem solving process until results are obtained.

Keywords

mental models
problem-solving
rectangular area
schemes
strategies

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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 19, Issue 8, August 2023, Article No: em2309

https://doi.org/10.29333/ejmste/13430

Publication date: 01 Aug 2023

Online publication date: 21 Jun 2023

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Article Downloads: 934

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How to cite this article

APA

Rumite, W., Purwanto, P., Parta, I. N., & Rahardjo, S. (2023). Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas. Eurasia Journal of Mathematics, Science and Technology Education, 19(8), em2309. https://doi.org/10.29333/ejmste/13430

Vancouver

Rumite W, Purwanto P, Parta IN, Rahardjo S. Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas. EURASIA J Math Sci Tech Ed. 2023;19(8):em2309. https://doi.org/10.29333/ejmste/13430

AMA

Rumite W, Purwanto P, Parta IN, Rahardjo S. Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas. EURASIA J Math Sci Tech Ed. 2023;19(8), em2309. https://doi.org/10.29333/ejmste/13430

Chicago

Rumite, Wayan, Purwanto Purwanto, I Nengah Parta, and Swasono Rahardjo. "Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas". Eurasia Journal of Mathematics, Science and Technology Education 2023 19 no. 8 (2023): em2309. https://doi.org/10.29333/ejmste/13430

Harvard

Rumite, W., Purwanto, P., Parta, I. N., and Rahardjo, S. (2023). Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas. Eurasia Journal of Mathematics, Science and Technology Education, 19(8), em2309. https://doi.org/10.29333/ejmste/13430

MLA

Rumite, Wayan et al. "Unpacking mental models, strategies, and schemas pre-service mathematics teacher in solving maximum rectangular areas". Eurasia Journal of Mathematics, Science and Technology Education, vol. 19, no. 8, 2023, em2309. https://doi.org/10.29333/ejmste/13430