How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling

JinHyeong Park; Kyeong-Hwa Lee

doi:10.29333/ejmste/92557

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JinHyeong Park ¹, Kyeong-Hwa Lee ² ^*

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¹ Gongju National University of Education, Korea² Seoul National University, Korea^* Corresponding Author

Abstract

The purpose of this study is to investigate the nature of mathematical modeling and identify characteristics of mathematical inquiries triggered by mathematical modeling. We investigated three cases of mathematical inquiries facilitated by mathematical modeling. As a result of this study, we revealed the abductive nature of mathematical modeling. We also determined that mathematical inquiries triggered by mathematical modeling have abductive, recursive, analogical, and context-dependent aspects.

Keywords

abduction
Euler
Napier
nature of modeling

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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, 2018, Volume 14, Issue 9, Article No: em1587

https://doi.org/10.29333/ejmste/92557

Publication date: 25 Jun 2018

Article Views: 2084

Article Downloads: 948

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How to cite this article

APA

Park, J., & Lee, K.-H. (2018). How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1587. https://doi.org/10.29333/ejmste/92557

Vancouver

Park J, Lee KH. How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling. EURASIA J Math Sci Tech Ed. 2018;14(9):em1587. https://doi.org/10.29333/ejmste/92557

AMA

Park J, Lee KH. How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling. EURASIA J Math Sci Tech Ed. 2018;14(9), em1587. https://doi.org/10.29333/ejmste/92557

Chicago

Park, JinHyeong, and Kyeong-Hwa Lee. "How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 9 (2018): em1587. https://doi.org/10.29333/ejmste/92557

Harvard

Park, J., and Lee, K.-H. (2018). How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1587. https://doi.org/10.29333/ejmste/92557

MLA

Park, JinHyeong et al. "How Can Mathematical Modeling Facilitate Mathematical Inquiries? Focusing on the Abductive Nature of Modeling". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 9, 2018, em1587. https://doi.org/10.29333/ejmste/92557