Students’ Spatial Abilities, Attitudes Towards Geometry and Van Hiele Geometric Thinking Levels
Year 2023,
Volume: 17 Issue: Özel Sayı, 666 - 694, 20.10.2023
Zeynep Büşra Uzun
Gülcan Öztürk
Abstract
The aim of this study was to investigate the relationships between eighth grade students’ spatial abilities, attitudes towards geometry and Van Hiele geometric thinking levels. We conducted the study using exploratory correlational research model with 429 students. The students’ spatial ability and attitudes towards geometry were moderate, and their Van Hiele geometric thinking levels were extremely low. We discovered that the students’ spatial ability scores and Van Hiele geometric thinking levels differed depending on their pre-school attendance status and did not differ according to their gender, and that their attitudes towards geometry were independent from gender and pre-school attendance status. The students’ spatial abilities and Van Hiele geometric thinking levels were positively associated with their attitudes towards geometry.
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Öğrencilerin Uzamsal Yetenekleri, Geometriye Yönelik Tutumları ve Van Hiele Geometrik Düşünme Düzeyleri
Year 2023,
Volume: 17 Issue: Özel Sayı, 666 - 694, 20.10.2023
Zeynep Büşra Uzun
Gülcan Öztürk
Abstract
Bu çalışmanın amacı sekizinci sınıf öğrencilerinin uzamsal yetenekleri, geometriye yönelik tutumları ve Van Hiele geometrik düşünme düzeyleri arasındaki ilişkileri incelemektir. Araştırma keşfedici korelasyonel araştırma modeli ile 429 öğrencinin katılımıyla yürütüldü. Çalışmada öğrencilerin uzamsal yetenekleri ve geometriye yönelik tutumlarının orta düzeyde ve Van Hiele geometrik düşünme düzeylerinin çok düşük olduğu bulunmuştur. Çalışmada ayrıca öğrencilerin uzamsal yetenek puanlarının ve Van Hiele geometrik düşünme düzeylerinin okul öncesi devam durumlarına göre farklılaştığı, cinsiyetlerine göre farklılaşmadığı, geometriye yönelik tutumlarının ise cinsiyet ve okul öncesi devam durumlarından bağımsız olduğu ortaya çıkmıştır. Öğrencilerin uzamsal yetenekleri ve Van Hiele geometrik düşünme düzeyleri, geometriye yönelik tutumlarının pozitif olarak anlamlı bir şekilde ilişkili olduğu da elde edilen sonuçlar arasındadır.
References
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Al-ebous, T. (2016). Effect of the Van Hiele model in geometric concepts acquisition: The attitudes towards geometry and learning transfer effect of the first three grades students in Jordan. International Education Studies, 9(4), 87-98. http://dx.doi.org/10.5539/ies.v9n4p87
- Bal, A. P. (2012). Teacher candidates’ geometric thinking levels and attitudes to geometry. Journal of Educational Sciences Research, 2(1), 17-34. https://dergipark.org.tr/en/pub/ebader/issue/44650/554613
- Balacheff, N. (1990). ICME-6 Report of the international group psychology of mathematics education. Educational Studies in Mathematics, 21(2), 193-197. http://www.jstor.org/stable/3482481
- Batdal Karaduman, G., ve Davaslıgil, Ü. (2019). The effects of differentiated geometry teaching for gifted students on creative thinking, spatial ability level and achievement. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 13(2), 1305-1337. https://doi.org/10.17522/balikesirnef.654451
- Battista, M. T. (1990). Spatial visualization and gender differences in high school geometry. Journal for Research in Mathematics Education, 21(1), 47-60. https://doi.org/10.2307/749456
- Ben-Chaim, D., Lappan, G., & Houang, R. T. (1986). Development and analysis of a spatial visualization test for middle school boys and girls. Perceptual and Motor Skills, 63, 659-669. https://doi.org/10.2466/pms.1986.63.2.659
- Bofferding, L., & Kocabas, S. (2021). Elementary students’ use of spatial thinking strategies in a layered puzzle task. In M. Inprasitha, N. Changsri & N. Boonsena (Eds.). Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, Vol 1 (pp. 129). PME. https://pme44.kku.ac.th/home/uploads/volumn/pme44_vol1.pdf
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- Cansız Aktaş, A. ve Aktaş, Y. D. (2013). The development of a current attitude scale towards geometry. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 7, 225- 247. https://dergipark.org.tr/tr/pub/balikesirnef/issue/3377/46608
- Choo, S., Park, S., & Nelson, N. J. (2021). Evaluating spatial thinking ability using item response theory: Differential item functioning across math learning disabilities and geometry instructions. Learning Disability Quarterly, 44(2), 68-81. https://doi.org/10.1177/0731948720912417
- Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Erlbaum.
- Conceição, J., & Rodrigues, M. (2021). 3D decomposition as a spatial reasoning process: A window to 1st grade students’ spatial structuring. In M. Inprasitha, N. Changsri & N. Boonsena (Eds.). Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, Vol 1 (pp. 136). PME. https://pme44.kku.ac.th/home/uploads/volumn/pme44_vol1.pdf
- Duatepe, A. (2000). An investigation of the relationship between Van Hiele geometric level of thinking and demographic variable for pre-service elementary school teacher [Unpublished master’s thesis]. Middle East Technical University. https://tez.yok.gov.tr/UlusalTezMerkezi/
- Duatepe, A. (2004). The effects of drama based instruction on seventh grade students’ geometry achievement, Van Hiele geometric thinking levels, attitude toward mathematics and geometry [Unpublished doctoral dissertation]. Middle East Technical University. https://tez.yok.gov.tr/UlusalTezMerkezi/
- Duatepe-Paksu, A., & Ubuz, B. (2009). Effects of drama-based geometry instruction on student achievement, attitudes, and thinking levels. The Journal of Educational Research, 102(4), 272-285. https://doi.org/10.3200/JOER.102.4.272-286
- Fitriyani, H., Kusumah, Y. S., & Turmudi (2021). Spatial reasoning: A survey on the 8th grader students’ gain in online learning. International Journal on Emerging Mathematics Education, 5(1), 51-60. http://dx.doi.org/10.12928/ijeme.v5i1.20140
- Forsythe, S. K. (2015). Dragging maintaining symmetry: Can it generate the concept of inclusivity as well as a family of shapes? Research in Mathematics Education, 17(3), 198-219. https://doi.org/10.1080/14794802.2015.1065757
- Fraenkel, J. R., & Wallen, N. E. (2012). How to design and evaluate research in education (8th ed.). McGraw-Hill.
- Gal, H., & Lew, H. C. (2008). Is a rectangle a parallelogram? Towards a bypass of Van Hiele level 3 decision making. Paper presented at Topic Study Group 18, ICME-11 Monterrey, Mexico, July 2008. https://www.researchgate.net/publication/344351933_Is_a_Rectangle_a_Parallelogram_-Towards_a_Bypass_of_Van_Hiele_Level_3_Decision_Making
- Ganley, C. M., & Vasilyeva, M. (2011). Sex differences in the relation between math performance, spatial skills, and attitudes. Journal of Applied Developmental Psychology, 32(4), 235-242. https://doi.org/10.1016/j.appdev.2011.04.001
- Ghasemi, A., & Zahediasl, S. (2011). Normality tests for statistical analysis: A guide for non-statisticians. International Journal of Endocrinology Metabolism, 10(2), 486-489. https://doi.org/10.5812/ijem.3505
- Gutiérrez, A., Jaime, A., & Fortuny, J. M. (1991). An alternative paradigm to evaluate the acquisition of the van Hiele levels. Journal for Research in Mathematics Education, 22(3), 237-251. https://doi.org/10.5951/jresematheduc.22.3.0237
- Guven, B., & Okumus, S. (2011). 8th Grade Turkish students’ van Hiele levels and classification of quadrilaterals. Proceedings of PME 35, 2, 473-480. https://www.igpme.org/wp-content/uploads/2019/05/PME35-2011-Ankara.zip
- Hannula, M. S., & Toivanen, M. (2019). Making and observing visual representations during problem solving: An eye tracking study. In Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education. https://researchportal.helsinki.fi/files/129964849/Hannula_RR.docx
- Jones, K., & Tzekaki, M. (2016). Research on the teaching and learning of geometry. In: Á. Gutiérrez, G. C. Leder & P. Boero (Eds) The second handbook of research on the psychology of mathematics education. Sense Publishers. https://doi.org/10.1007/978-94-6300-561-6_4
- Kılıç, Ç., Köse, Y. N., Tanışlı, D., & Özdaş, A. (2007). The fifth grade students’ Van Hiele geometric thinking levels in tessellation. Elementary Education Online, 6(1), 1305-1337. http://www.ilkogretim-online.org/fulltext/218-1596620431.pdf?1635191185
- Kline, R. B. (2016). Principles and practice of structural equation modelling (4th ed.). The Guilford Press.
- Kösa, T., & Kalay, H. (2018). Evaluation of the learning environment designed for developing 7th grade students’ spatial orientation skills. Kastamonu Education Journal, 26(1), 83-92. https://dergipark.org.tr/tr/pub/kefdergi/issue/31578/348100
- Lenhard, W., & Lenhard, A. (2016). Calculation of effect sizes. Psychometrica. https://doi.org/10.13140/RG.2.2.17823.92329
- Lusyana, E., & Setyaningrum, W. (2018). Van Hiele instructional package for vocational school students’ spatial reasoning. Beta: Jurnal Tadris Matematika, 11(1), 79-100. https://doi.org/10.20414/betajtm.v11i1.146
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