Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof
Bettina Pedemonte 1 *
More Detail
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.

License

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

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

EURASIA J Math Sci and Tech Ed, 2018 - Volume 14 Issue 9, Article No: em1589

Publication date: 25 Jun 2018

Article Views: 196

Article Downloads: 102

Open Access References How to cite this article