Open AccessAnalogical Reasoning in Geometry Proofs
Author(s) -
Anass Bayaga,
Michael J. Bossé,
John Sevier
Publication year - 2021
Publication title -
revija za elementarno izobraževanje
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.154
H-Index - 2
eISSN - 2350-4803
pISSN - 1855-4431
DOI - 10.18690/rei.14.2.149-170.2021
Subject(s) - mathematical proof , analogical reasoning , interpretation (philosophy) , mathematics education , computer science , calculus (dental) , epistemology , psychology , analogy , mathematics , geometry , programming language , philosophy , medicine , dentistry
This study aimed at investigating six high school students’ use of analogies while working through geometry proofs in group settings. Along with the analogies used by students and analysis of how they were used, as well as discourse analysis, we investigate students’ meta-proof comments to glean some interpretation of students’ beliefs about proofs. Overall, this study found that students had different beliefs about the nature and process of proofs and used and understood analogical reasoning in idiosyncratic ways. However, it was also found that students’ greater use of analogies did not automatically lead to more success with proofs.