Examination of Seventh Grade Students' Van Hiele Geometric Thinking Levels and Their Mistakes on 'Quadrilaterals'
Öz
In this study, it was aimed to examine seventh grade students' Van Hiele geometric thinking levels and their mistakes on 'Quadrilaterals'. The research was conducted with ten seventh grade students and the case study model, one of the qualitative research methods, was used. The Van Hiele geometric thinking levels test developed by Usiskin and the diagnostic test developed by Başısık were rearranged and administered to the students. According to the research findings, seventh grade students have misconceptions about diagonal, height concepts and special quadrilaterals. One of the most important of these is that the square positioned on one corner cannot be recognized by students at the analysis level, but is recognized by students at the visualization level. Students at the analysis and visualization levels have different misconceptions regarding the trapezoid. While there is a misconception that all side lengths must be different from each other as a condition for being a trapezoid, there is also a misconception that having four sides is sufficient. Another one is related to the concept of diagonal. There is a misconception that shapes with equal side lengths also have equal diagonal lengths. While no errors or misconceptions were encountered in students at the informal level, misconceptions were encountered in students at the analysis level, and more errors were encountered in students who were visualization and could not be assigned to any level.
Anahtar Kelimeler
Van Hiele geometry levels quadrilaterals misconceptions and errors.
Kaynakça
- Aktaş, D., & Cansız Aktaş, M. (2011). 8th grade students' recognition of special quadrilaterals and their understanding of the hierarchical classification between them. Primary Education Online, 11(3), 714-728, 2012. [Online]: http://ilkogretim-online.org.tr
- Baki, A. (2006). Mathematics Education from Theory to Practice, Bilge Publishing: İstanbul.
- Başışık, H. (2010). Determining the misconceptions of 5th grade primary school students about polygons and quadrilaterals. (Unpublished master's thesis). Adnan Menderes University, Aydın.
- Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E.,Karadeniz, Ş., & Demirel, F. ( 2019). Scientific Research Methods, Ankara.
- Duatepe Paksu, A., & Çontay , E.G. (2022). 8th Grade Students' Perceptions of the Definition of Square. Erciyes Journal of Education, 6(2), 166-190.
- Ersoy, M. (2019). Examination of the relationship between 7th grade students' mathematical achievements on quadrilaterals and Van Hiele geometric thinking levels. (Unpublished master's thesis), Erciyes University, Kayseri.
- Hatip, K. (2022). Examination of 8th grade students' Van Hiele geometric thinking levels and proof writing and justification skills. (Unpublished master's thesis). Cumhuriyet University, Sivas.
- Karapınar, F. (2017). An investigation of 8th grade students' knowledge on geometrical objects in terms of Van Hiele Levels of understanding geometry. (Unpublished master's thesis), Erciyes University, Kayseri.
- MoNE – Ministry of National Education. (2018). Mathematics course curriculum. Ankara: MEB Publishing.
- Mutluoğlu, A., & Erdoğan, A. (2020). 6th grade students' geometrical reasoning processes about quadrilaterals. International Journal of Social Research, 16(27), 236-265.
- Öksüz, C. (2009, March 25-27). Determining the misconceptions of primary school seventh grade gifted students on the subjects "Point, Line, Line Segment, Ray and Plane". II. National Gifted Congress, Türkiye.
- Öksüz, C., & Başışık, H. (2019). Determining the misconceptions of fifth grade students about polygons and quadrilaterals. Eskişehir Osmangazi University Journal of Social Sciences, 20(Special Issue), 413-430.
- Özkan, M., & Bal, A.P. (2018). The analysis of teacher views on 7th grade students’ mistakes and misconceptions. Theory and Practice in Education, 14(1), 81-106.
- Sancar, M. (2019). The effect of concept cartoons on eliminating secondary school students' misconceptions about triangles and quadrilaterals and their attitudes towards mathematics. (Unpublished master's thesis). Bülent Ecevit University, Zonguldak.
- Teppo, A. (1991). Van Hiele levels of geometric thought revisited. The Mathematics Teacher, 84(3), 210-221.
- Türnüklü, E., & Berkün, M. (2013). 5th and 7th grade primary students’ strategies of polygons classification. Kastamonu Education Journal, 21(1), 337-356.
- Ubuz, B. (1999). 10th and 11th grade students' errors and misconceptions on basic geometric concepts. Hacettepe University Faculty of Education Journal, 17, 95-104.
- Usiskin, Z. (1982). Van Hiele levels oath Achievement in Secondary School Geometry. University of Chicago, ERIC Document Reproduction Service.
- Van de Walle, J. A. (2004). Elementary and middle school mathematics teaching developmentally. Printed in the United States of America.
- Yenilmez, K., & Yaşa, E. (2008). Primary school students' misconceptions in geometry, Faculty of Education Journal, XXI(2), 461-483.
- Yıldırım, C. (2008). Mathematical thinking. Remzi Bookstore, İstanbul.
- Yılmaz, H. Z. (2019). Examination of the process of eliminating sixth grade students' misconceptions about polygons and quadrilaterals by creating cognitive dissonance with geogebra. (Unpublished master's thesis). Gazi University, Ankara.
Öz
Kaynakça
- Aktaş, D., & Cansız Aktaş, M. (2011). 8th grade students' recognition of special quadrilaterals and their understanding of the hierarchical classification between them. Primary Education Online, 11(3), 714-728, 2012. [Online]: http://ilkogretim-online.org.tr
- Baki, A. (2006). Mathematics Education from Theory to Practice, Bilge Publishing: İstanbul.
- Başışık, H. (2010). Determining the misconceptions of 5th grade primary school students about polygons and quadrilaterals. (Unpublished master's thesis). Adnan Menderes University, Aydın.
- Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E.,Karadeniz, Ş., & Demirel, F. ( 2019). Scientific Research Methods, Ankara.
- Duatepe Paksu, A., & Çontay , E.G. (2022). 8th Grade Students' Perceptions of the Definition of Square. Erciyes Journal of Education, 6(2), 166-190.
- Ersoy, M. (2019). Examination of the relationship between 7th grade students' mathematical achievements on quadrilaterals and Van Hiele geometric thinking levels. (Unpublished master's thesis), Erciyes University, Kayseri.
- Hatip, K. (2022). Examination of 8th grade students' Van Hiele geometric thinking levels and proof writing and justification skills. (Unpublished master's thesis). Cumhuriyet University, Sivas.
- Karapınar, F. (2017). An investigation of 8th grade students' knowledge on geometrical objects in terms of Van Hiele Levels of understanding geometry. (Unpublished master's thesis), Erciyes University, Kayseri.
- MoNE – Ministry of National Education. (2018). Mathematics course curriculum. Ankara: MEB Publishing.
- Mutluoğlu, A., & Erdoğan, A. (2020). 6th grade students' geometrical reasoning processes about quadrilaterals. International Journal of Social Research, 16(27), 236-265.
- Öksüz, C. (2009, March 25-27). Determining the misconceptions of primary school seventh grade gifted students on the subjects "Point, Line, Line Segment, Ray and Plane". II. National Gifted Congress, Türkiye.
- Öksüz, C., & Başışık, H. (2019). Determining the misconceptions of fifth grade students about polygons and quadrilaterals. Eskişehir Osmangazi University Journal of Social Sciences, 20(Special Issue), 413-430.
- Özkan, M., & Bal, A.P. (2018). The analysis of teacher views on 7th grade students’ mistakes and misconceptions. Theory and Practice in Education, 14(1), 81-106.
- Sancar, M. (2019). The effect of concept cartoons on eliminating secondary school students' misconceptions about triangles and quadrilaterals and their attitudes towards mathematics. (Unpublished master's thesis). Bülent Ecevit University, Zonguldak.
- Teppo, A. (1991). Van Hiele levels of geometric thought revisited. The Mathematics Teacher, 84(3), 210-221.
- Türnüklü, E., & Berkün, M. (2013). 5th and 7th grade primary students’ strategies of polygons classification. Kastamonu Education Journal, 21(1), 337-356.
- Ubuz, B. (1999). 10th and 11th grade students' errors and misconceptions on basic geometric concepts. Hacettepe University Faculty of Education Journal, 17, 95-104.
- Usiskin, Z. (1982). Van Hiele levels oath Achievement in Secondary School Geometry. University of Chicago, ERIC Document Reproduction Service.
- Van de Walle, J. A. (2004). Elementary and middle school mathematics teaching developmentally. Printed in the United States of America.
- Yenilmez, K., & Yaşa, E. (2008). Primary school students' misconceptions in geometry, Faculty of Education Journal, XXI(2), 461-483.
- Yıldırım, C. (2008). Mathematical thinking. Remzi Bookstore, İstanbul.
- Yılmaz, H. Z. (2019). Examination of the process of eliminating sixth grade students' misconceptions about polygons and quadrilaterals by creating cognitive dissonance with geogebra. (Unpublished master's thesis). Gazi University, Ankara.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik Eğitimi |
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 29 Ocak 2024 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 10 Sayı: 2 |
