This 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”.
Theorem if and only if proposition cognitive structuring definition proof
This 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”.
Theorem if and only if proposition cognitive structuring definition proof
Birincil Dil | İngilizce |
---|---|
Konular | Matematik Eğitimi |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Erken Görünüm Tarihi | 7 Ekim 2023 |
Yayımlanma Tarihi | 21 Ekim 2023 |
Gönderilme Tarihi | 7 Aralık 2022 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 7 Sayı: 15 |
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