An Ontological Study on Proof: If and only If Propositions

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dc.contributor.authorTürkdoğan, Ali
dc.date.accessioned2025-05-04T16:21:21Z
dc.date.available2025-05-04T16:21:21Z
dc.date.issued2023
dc.departmentSivas Cumhuriyet Üniversitesi
dc.description.abstractThis study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions”. The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom. The study is a case study. As a result of the application, it was found out that the students had difficulty in determining the parts of the hypothesis that are included in “if and only if” proposition and therefore dividing the proposition into two “if” proposition. Some students think that the part or parts given as hypothesis should also be proved. When defining propositions, in addition to their “if and only if propositions”, it is suggested to define new types of proposition in the form of “hypothesis-containing if and only if propositions”.
dc.description.abstractThis study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions”. The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom. The study is a case study. As a result of the application, it was found out that the students had difficulty in determining the parts of the hypothesis that are included in “if and only if” proposition and therefore dividing the proposition into two “if” proposition. Some students think that the part or parts given as hypothesis should also be proved. When defining propositions, in addition to their “if and only if propositions”, it is suggested to define new types of proposition in the form of “hypothesis-containing if and only if propositions”.
dc.identifier.doi10.31458/iejes.1215877
dc.identifier.doihttps://doi.org/10.31458/iejes.1215877
dc.identifier.endpage464
dc.identifier.issn2602-4241
dc.identifier.issue15
dc.identifier.startpage453
dc.identifier.urihttps://hdl.handle.net/20.500.12418/31718
dc.identifier.volume7
dc.institutionauthorTürkdoğan, Ali
dc.language.isoen
dc.publisherTamer KUTLUCA
dc.relation.ispartofInternational e-Journal of Educational Studies
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250504
dc.subjectTheorem
dc.subjectif and only if proposition
dc.subjectcognitive structuring
dc.subjectdefinition
dc.subjectproof
dc.titleAn Ontological Study on Proof: If and only If Propositions
dc.typeResearch Article

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