Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea

David A. Reid

doi:10.29333/ejmste/92552

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David A. Reid ¹ ^*

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¹ University of Bremen, GERMANY^* Corresponding Author

Abstract

There is a growing literature on the importance of abductive reasoning in mathematics education. However, there are some important variations in what exactly is referred to as ‘abductive reasoning’. This article identifies key theorisations of abductive reasoning in the work of Peirce, Habermas and Eco, as well as describing different approaches to abductive reasoning found the mathematics education literature. A framework in which the different approaches taken in the research literature can be placed and compared is proposed.

Keywords

abductive reasoning
conjecturing
function of reasoning
logical form
proof and proving

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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 14, Issue 9, September 2018, Article No: em1584

https://doi.org/10.29333/ejmste/92552

Publication date: 25 Jun 2018

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How to cite this article

APA

Reid, D. A. (2018). Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1584. https://doi.org/10.29333/ejmste/92552

Vancouver

Reid DA. Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea. EURASIA J Math Sci Tech Ed. 2018;14(9):em1584. https://doi.org/10.29333/ejmste/92552

AMA

Reid DA. Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea. EURASIA J Math Sci Tech Ed. 2018;14(9), em1584. https://doi.org/10.29333/ejmste/92552

Chicago

Reid, David A.. "Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 9 (2018): em1584. https://doi.org/10.29333/ejmste/92552

Harvard

Reid, D. A. (2018). Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1584. https://doi.org/10.29333/ejmste/92552

MLA

Reid, David A. "Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 9, 2018, em1584. https://doi.org/10.29333/ejmste/92552