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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.
Keywords
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
EURASIA J Math Sci Tech Ed, Volume 13, Issue 7, July 2017, 3771-3800
https://doi.org/10.12973/eurasia.2017.00758a
Publication date: 15 Jun 2017
Article Views: 2113
Article Downloads: 3531
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