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Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective

Cilt: 34 Sayı: 4 29 Ekim 2026
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Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective

Öz

The purpose of this study is to compare the geometry and measurement learning outcomes in the mathematics curricula of Türkiye, Germany, and Canada according to Van Hiele levels. This qualitative study examines the levels of geometry curriculum objectives according to Van Hiele theory using the document analysis method. The findings reveal that the approaches to geometry education in the three countries are based on different pedagogical priorities. Türkiye's curriculum exhibits a structure that covers Van Hiele levels 2-4, with a particular focus on Level 4, indicating that Türkiye centers its geometry education on deductive reasoning and proof-based learning. Canada, on the other hand, offers a structure that prioritizes higher-level cognitive skills by focusing on Levels 3 and 4, aiming to develop advanced cognitive skills. Germany's curriculum offers balanced and systematic content mainly at Levels 2 and 3, while remaining limited at Level 4. These results suggest that, for the breadth of Türkiye's curriculum to be effective at the student level, learning outcomes should be simplified and structured according to Van Hiele levels, and teaching processes should be planned accordingly.

Anahtar Kelimeler

Geometry teaching, Geometry curriculum, Comparative education, Van Hiele

Kaynakça

  1. Abdullah, A. H., & Zakaria, E. (2013). The effects of Van Hiele's phases of learning geometry on students' degree of acquisition of Van Hiele levels. Procedia – Social and Behavioral Sciences, 102, 251–266.
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  4. Crowley, M. L. (1987). The van Hiele model of the development of geometric thought. In M. M. Lindquist & A. P. Shulte (Eds.), Learning and teaching geometry, K-12: 1987 yearbook (pp. 1–16). National Council of Teachers of Mathematics.
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  6. Çiçek, Y., Kuzu, O., & Çalışkan, N. (2021). Türkiye ve Almanya matematik dersi öğretim programlarının geometri öğrenme alanı bağlamında karşılaştırılması [A comparison of the mathematics curricula of Türkiye and Germany in the context of the geometry learning area]. İstanbul Aydın Üniversitesi Sosyal Bilimler Dergisi, 13(1), 225–260. https://doi.org/10.17932/IAU.IAUD.2757.7252 /iaud_v13i1008
  7. Çoban, A. (2011). Amerika Birleşik Devletleri, İngiltere ve Türkiye ilköğretim matematik programlarının karşılaştırılması [A comparison of the primary school mathematics curricula of the United States, England, and Türkiye] [Master's thesis, Gazi Üniversitesi]. Council of Higher Education National Thesis Center.
  8. Decree Law on the Organization and Duties of the Ministry of National Education (No. 652). (2011, September 14). Resmî Gazete (No. 28054).
  9. Demircioğlu, H., & Hatip, K. (2023). Examining 8th grade students' Van Hiele geometry thinking levels, their proof writing and justification skills. International Journal of Curriculum and Instruction, 15(1), 294–308.
  10. Đokić, O., & Zeljić, M. (2017). Theoretical frameworks of development of geometrical thinking according to Van Hiele, Fischbein and Houdement-Kuzniak. Teme, 41(3), 623. https://doi.org/10.22190/TEME1703623D

Kaynak Göster

APA
İncikabı, L., Dişci, Z. A., İşözen, Ş., & Halat, Ş. (2026). Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective. Kastamonu Education Journal, 34(4), 917-933. https://doi.org/10.24106/kefdergi.2069283
AMA
1.İncikabı L, Dişci ZA, İşözen Ş, Halat Ş. Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective. Kastamonu Eğitim Dergisi. 2026;34(4):917-933. doi:10.24106/kefdergi.2069283
Chicago
İncikabı, Lütfi, Zeynep Arzu Dişci, Şevval İşözen, ve Şevval Halat. 2026. “Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective”. Kastamonu Education Journal 34 (4): 917-33. https://doi.org/10.24106/kefdergi.2069283.
EndNote
İncikabı L, Dişci ZA, İşözen Ş, Halat Ş (01 Ekim 2026) Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective. Kastamonu Education Journal 34 4 917–933.
IEEE
[1]L. İncikabı, Z. A. Dişci, Ş. İşözen, ve Ş. Halat, “Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective”, Kastamonu Eğitim Dergisi, c. 34, sy 4, ss. 917–933, Eki. 2026, doi: 10.24106/kefdergi.2069283.
ISNAD
İncikabı, Lütfi - Dişci, Zeynep Arzu - İşözen, Şevval - Halat, Şevval. “Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective”. Kastamonu Education Journal 34/4 (01 Ekim 2026): 917-933. https://doi.org/10.24106/kefdergi.2069283.
JAMA
1.İncikabı L, Dişci ZA, İşözen Ş, Halat Ş. Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective. Kastamonu Eğitim Dergisi. 2026;34:917–933.
MLA
İncikabı, Lütfi, vd. “Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective”. Kastamonu Education Journal, c. 34, sy 4, Ekim 2026, ss. 917-33, doi:10.24106/kefdergi.2069283.
Vancouver
1.Lütfi İncikabı, Zeynep Arzu Dişci, Şevval İşözen, Şevval Halat. Comparative Analysis of Geometry Learning Outcomes Across Türkiye, Germany, and Canada: A Van Hiele Perspective. Kastamonu Eğitim Dergisi. 01 Ekim 2026;34(4):917-33. doi:10.24106/kefdergi.2069283