How can Students Generalize Examples? Focusing on the Generalizing Geometric Properties
JinHyeong Park 1, Dong-Won Kim 2 *
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1 Myongji University
2 Cheongju Natioanl University of Education
* Corresponding Author

Abstract

Background:
The purpose of this study is to determine the progression of exemplifying and example generalization by students.

Material and methods:
We investigated whether example generalization occurs by analyzing collected data by identifying whether students recognize, describe, and define general features of geometric examples. We also investigate how example generalization progresses by identifying students’ use of abduction, induction, diagrams and deduction.

Results:
As a result of this study, we revealed that the sub-mechanisms undertake the generalization of examples as supported by the coordination of abduction, induction, deduction, and the use of diagrams.

Conclusions:
We empirically confirmed generalization by students through exemplifying and found that their generalization of examples involved the coordination of abduction, induction, deduction and the use of diagrams.

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/10.12973/eurasia.2017.00758a

EURASIA J Math Sci and Tech Ed, 2017 - Volume 13 Issue 7, pp. 3771-3800

Publication date: 15 Jun 2017

Article Views: 379

Article Downloads: 110

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