Tracing proof schemes: some patterns and newperspectives
The aim of this paper is to review some studies conducted withdifferentlearning areas in which the schemes of different participants emerge. Alsoit is about to show how mathematical proofs are handled in these studiesby considering Harel and Sowder's classification of proof schemes withspecific...
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| Format: | Article |
| Language: | English |
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Muhammadiyah University Press
2022-01-01
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| Series: | Journal of Research and Advances in Mathematics Education |
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| Online Access: | https://journals2.ums.ac.id/index.php/jramathedu/article/view/9480 |
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| author | Yasemin Yılmaz Akkurt Soner Durmuş |
| author_facet | Yasemin Yılmaz Akkurt Soner Durmuş |
| author_sort | Yasemin Yılmaz Akkurt |
| collection | DOAJ |
| description | The aim of this paper is to review some studies conducted withdifferentlearning areas in which the schemes of different participants emerge. Alsoit is about to show how mathematical proofs are handled in these studiesby considering Harel and Sowder's classification of proof schemes withspecific examples. As a result, it was seen that the examined studies wereaddressed in the learning areas of Analysis, Geometry, Algebra, LinearAlgebra, Elementary Number Theory, Probability, Combinatorics, andMIX. Students in early grades tend more towards external and empirical proof schemes. On the other hand, the characteristics of theproof schemes become more sophisticated as the participants' profiles changeto pre-service teachers or as they become more specializinginmathematics. Some results are as follows: the academic achievementlevels, genders, and grade levels of the participants in the studiesexamined in this paper have indicated that they have similar traces withthe schemes they use. In addition, it has been determined that newperspectives such as examining Harel and Sowder's classificationwithnew lenses, revealing the overlooked roles of some dynamics inproof, orimproving the framework provide an important research area intermsof revealing students' potentials. |
| format | Article |
| id | doaj-art-1cece993f2aa4041932b22dbc0f6d9b5 |
| institution | Matheson Library |
| issn | 2503-3697 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Muhammadiyah University Press |
| record_format | Article |
| series | Journal of Research and Advances in Mathematics Education |
| spelling | doaj-art-1cece993f2aa4041932b22dbc0f6d9b52025-07-10T03:26:25ZengMuhammadiyah University PressJournal of Research and Advances in Mathematics Education2503-36972022-01-0111610.23917/jramathedu.v7i1.157409543Tracing proof schemes: some patterns and newperspectivesYasemin Yılmaz Akkurt0Soner Durmuş1Department of Mathematics and Science Education, Bolu Abant Izzet Baysal University, TurkeyDepartment of Mathematics and Science Education, Bolu Abant Izzet Baysal University, TurkeyThe aim of this paper is to review some studies conducted withdifferentlearning areas in which the schemes of different participants emerge. Alsoit is about to show how mathematical proofs are handled in these studiesby considering Harel and Sowder's classification of proof schemes withspecific examples. As a result, it was seen that the examined studies wereaddressed in the learning areas of Analysis, Geometry, Algebra, LinearAlgebra, Elementary Number Theory, Probability, Combinatorics, andMIX. Students in early grades tend more towards external and empirical proof schemes. On the other hand, the characteristics of theproof schemes become more sophisticated as the participants' profiles changeto pre-service teachers or as they become more specializinginmathematics. Some results are as follows: the academic achievementlevels, genders, and grade levels of the participants in the studiesexamined in this paper have indicated that they have similar traces withthe schemes they use. In addition, it has been determined that newperspectives such as examining Harel and Sowder's classificationwithnew lenses, revealing the overlooked roles of some dynamics inproof, orimproving the framework provide an important research area intermsof revealing students' potentials.https://journals2.ums.ac.id/index.php/jramathedu/article/view/9480proofproving processproof schemeslearning areas |
| spellingShingle | Yasemin Yılmaz Akkurt Soner Durmuş Tracing proof schemes: some patterns and newperspectives Journal of Research and Advances in Mathematics Education proof proving process proof schemes learning areas |
| title | Tracing proof schemes: some patterns and newperspectives |
| title_full | Tracing proof schemes: some patterns and newperspectives |
| title_fullStr | Tracing proof schemes: some patterns and newperspectives |
| title_full_unstemmed | Tracing proof schemes: some patterns and newperspectives |
| title_short | Tracing proof schemes: some patterns and newperspectives |
| title_sort | tracing proof schemes some patterns and newperspectives |
| topic | proof proving process proof schemes learning areas |
| url | https://journals2.ums.ac.id/index.php/jramathedu/article/view/9480 |
| work_keys_str_mv | AT yaseminyılmazakkurt tracingproofschemessomepatternsandnewperspectives AT sonerdurmus tracingproofschemessomepatternsandnewperspectives |