Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof

Bettina Pedemonte

doi:10.29333/ejmste/92562

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Bettina Pedemonte ¹ ^*

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¹ San Jose State University, CA, USA^* Corresponding Author

Abstract

This paper analyzes the role of abduction in proving process when students solve a geometrical problem. Solving a problem is like playing a game in which rules have to be defined. Two kinds of rules are considered: definitory rules that define the basic moves in the game and strategic rules that explain how to play the game. These two rules can be associated to two types of abductions that can be used to solve geometrical problems. The purpose of this paper is to compare these two abductions and to analyze their relationship with the deductive proof. In particular, the study reveals that abduction based on definitory rule can be an obstacle to the construction of the deductive proof, while abduction based on strategic rule seems to not be a challenge for students. In fact, this abduction is usually transformed into a deduction along the argumentation.

Keywords

abduction
argumentation
proof
strategic rule
definitory rule
cognitive unity

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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: em1589

https://doi.org/10.29333/ejmste/92562

Publication date: 25 Jun 2018

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How to cite this article

APA

Pedemonte, B. (2018). Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1589. https://doi.org/10.29333/ejmste/92562

Vancouver

Pedemonte B. Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof. EURASIA J Math Sci Tech Ed. 2018;14(9):em1589. https://doi.org/10.29333/ejmste/92562

AMA

Pedemonte B. Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof. EURASIA J Math Sci Tech Ed. 2018;14(9), em1589. https://doi.org/10.29333/ejmste/92562

Chicago

Pedemonte, Bettina. "Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 9 (2018): em1589. https://doi.org/10.29333/ejmste/92562

Harvard

Pedemonte, B. (2018). Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1589. https://doi.org/10.29333/ejmste/92562

MLA

Pedemonte, Bettina "Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 9, 2018, em1589. https://doi.org/10.29333/ejmste/92562