Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills
Proof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers’ proof assessing skills. Using the case study method, the study is conducted...
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| Format: | Article |
| Language: | English |
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Journal of Pedagogical Research
2023-06-01
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| Series: | Journal of Pedagogical Research |
| Subjects: | |
| Online Access: | https://www.ijopr.com/download/incorrect-theorems-and-proofs-an-analysis-of-pre-service-mathematics-teachers-proof-evaluation-13450.pdf |
| _version_ | 1797780459122327552 |
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| author | Hasibe Sevgi Moralı Ahsen Filiz |
| author_facet | Hasibe Sevgi Moralı Ahsen Filiz |
| author_sort | Hasibe Sevgi Moralı |
| collection | DOAJ |
| description | Proof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers’ proof assessing skills. Using the case study method, the study is conducted on pre-service mathematics teachers studying at the Department of Mathematics Education. There were eight pre-service mathematics teachers selected from each grade, resulting in 32 participants in total. A semi-structured proof form containing 13 questions was used to collect data, which was analyzed using content analysis. As the analysis reveals, pre-service mathematics teachers are highly likely to make incorrect decisions regarding theorems and proofs, and the margin of error is unaffected by grade level. Moreover, pre-service mathematics teachers tend to use proving terms incorrectly and, at times, are unable to differentiate between terms that are commonly used in proving. The pre-service mathematics teachers are believed to have learned proofs by rote rather than understanding how proofs work. With the help of interviews and tests created for different proof methods, it has been suggested that pre-service mathematics teachers should be tested on their proof evaluation skills in more detail. |
| first_indexed | 2024-03-12T23:44:29Z |
| format | Article |
| id | doaj.art-6fdff03cce86424e81620e071f08f38c |
| institution | Directory Open Access Journal |
| issn | 2602-3717 |
| language | English |
| last_indexed | 2024-03-12T23:44:29Z |
| publishDate | 2023-06-01 |
| publisher | Journal of Pedagogical Research |
| record_format | Article |
| series | Journal of Pedagogical Research |
| spelling | doaj.art-6fdff03cce86424e81620e071f08f38c2023-07-14T11:34:44ZengJournal of Pedagogical ResearchJournal of Pedagogical Research2602-37172023-06-017324826210.33902/JPR.202318840Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skillsHasibe Sevgi Moralı0Ahsen Filiz1Dokuz Eylül University, Buca Faculty of Education, İzmir, TürkiyeBiruni University, Faculty of Education, İstanbul, TürkiyeProof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers’ proof assessing skills. Using the case study method, the study is conducted on pre-service mathematics teachers studying at the Department of Mathematics Education. There were eight pre-service mathematics teachers selected from each grade, resulting in 32 participants in total. A semi-structured proof form containing 13 questions was used to collect data, which was analyzed using content analysis. As the analysis reveals, pre-service mathematics teachers are highly likely to make incorrect decisions regarding theorems and proofs, and the margin of error is unaffected by grade level. Moreover, pre-service mathematics teachers tend to use proving terms incorrectly and, at times, are unable to differentiate between terms that are commonly used in proving. The pre-service mathematics teachers are believed to have learned proofs by rote rather than understanding how proofs work. With the help of interviews and tests created for different proof methods, it has been suggested that pre-service mathematics teachers should be tested on their proof evaluation skills in more detail.https://www.ijopr.com/download/incorrect-theorems-and-proofs-an-analysis-of-pre-service-mathematics-teachers-proof-evaluation-13450.pdfmathematics educationproof assessmentmathematical proofpre-service mathematics teachers |
| spellingShingle | Hasibe Sevgi Moralı Ahsen Filiz Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills Journal of Pedagogical Research mathematics education proof assessment mathematical proof pre-service mathematics teachers |
| title | Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills |
| title_full | Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills |
| title_fullStr | Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills |
| title_full_unstemmed | Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills |
| title_short | Incorrect theorems and proofs: An analysis of pre-service mathematics teachers' proof evaluation skills |
| title_sort | incorrect theorems and proofs an analysis of pre service mathematics teachers proof evaluation skills |
| topic | mathematics education proof assessment mathematical proof pre-service mathematics teachers |
| url | https://www.ijopr.com/download/incorrect-theorems-and-proofs-an-analysis-of-pre-service-mathematics-teachers-proof-evaluation-13450.pdf |
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