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Journals / Ordu Üniversitesi Sosyal Bilimler Enstitüsü Sosyal Bilimler Araştırmaları Dergisi / 2025 / Cilt: 15 Sayı: ISRIS 2025 Özel Sayı

Investigation of the effect of geometry teaching with ethnomodeling on students' academic achievement in area measurement

Etnomodelleme ile geometri öğretiminin öğrencilerin alan ölçme akademik başarılarına etkisinin incelenmesi

Nejla Gürefe(MERSIN UNIVERSITY)0000-0002-0705-0890
Pages
508–535
Publication Date
2025-07-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, the results indicated that the learning gains in the EG were more permanent compared to those in the CG.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study aims to investigate the effect of geometry instruction enriched with ethnomodeling activities on the academic achievement of 6th-grade students in the concept of area measurement.
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Key Findings & Data:Participants consisted of 6th-grade students attending a public school.
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Conclusion & Impact:Furthermore, the results indicated that the learning gains in the EG were more permanent compared to those in the CG.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Etnomodelleme · Alan ölçme · Ortaokul öğrencileri

Abstract

This study aims to investigate the effect of geometry instruction enriched with ethnomodeling activities on the academic achievement of 6th-grade students in the concept of area measurement. The research employed a quasi-experimental design with a pre-test, post-test, and retention test control group. Participants consisted of 6th-grade students attending a public school. While the experimental group (EG) received instruction through ethnomodeling-based activities, the control group (CG) was taught using traditional teaching methods. The modeling activities for the EG were based on ethnomathematical problems that reflected the historical, natural, and cultural heritage of the Çukurova region. These problems were developed in alignment with key modeling principles, including contextual relevance, realism, self-evaluation, structural documentation, effective prototyping, and generalizability. The mathematical modeling process was actively integrated throughout the instructional phase. The data were analyzed using ANCOVA, which showed that students in the experimental group achieved significantly higher scores in area measurement compared to those in the CG. Furthermore, the results indicated that the learning gains in the EG were more permanent compared to those in the CG. This study aims to contribute to the advancement of instructional strategies by demonstrating the potential impact of innovative teaching approaches—such as the ethnomodeling learning model—on mathematics education, offering valuable insights for educators and policymakers

Özet

Bu çalışma, etnomodelleme etkinlikleri ile geometri öğretiminin 6. sınıf öğrencilerinin alan ölçme konusundaki akademik başarılarına etkisini incelemeyi amaçlamaktadır. Ön test-son test ve kalıcılık kontrol gruplu yarı deneysel desenin kullanıldığı bu çalışmanın katılımcıları bir devlet okulunda öğrenim gören 6. sınıf öğrencilerden oluşmuştur. Deney grubunda etnomodelleme ile öğretim yapılırken, kontrol grubunda geleneksel öğretim yöntemleri uygulanmıştır. Modelleme etkinlikleri Çukurova bölgesinin tarihi, doğal ve kültürel miraslarını ele alan etnomatematikle ilgili problemlerden oluşurken bu problemler model olma, gerçeklik, öz değerlendirme, yapıyı belgeleme, etkili prototip ve genellenebilme gibi modelleme ilkeleri dikkate alınarak hazırlanmış ve uygulama sürecinde matematiksel modelleme süreci kullanılmıştır. ANCOVA analizinin kullanıldığı çalışmada deney grubundaki öğrencilerin alan ölçme başarısının kontrol grubundakilere gore anlamlı olarak daha yüksek bulunmuştur. Ayrıca deney grubundaki öğrenmenin kontrol grubuna göre daha kalıcı olduğu tespit edilmiştir. Çalışma, eğitimciler ve politika yapıcılar için etnomodelleme öğrenme modeli gibi yeni öğrenme ve öğretim yaklaşımlarının matematik eğitimi üzerindeki potansiyelini ortaya koyarak, öğretim stratejilerinin geliştirilmesine katkıda bulunmayı hedeflemektedir.

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Cite This Article

Gürefe, N. (2025). Investigation of the effect of geometry teaching with ethnomodeling on students' academic achievement in area measurement. Ordu Üniversitesi Sosyal Bilimler Enstitüsü Sosyal Bilimler Araştırmaları Dergisi, Cilt: 15 Sayı: ISRIS 2025 Özel Sayı, 508–535. https://doi.org/10.48146/odusobiad.1728168

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References (58)

  1. Adam, S. (2004). Ethnomathematical ideas in the curriculum. Mathematics Education Research Journal, 16(2), 49–68. https://doi.org/10.1007/BF03217395
  2. Adam, S., Alangui, W., & Barton, B. (2003). A comment on Rowlands and Carson: Where would formal academic mathematics stand in a curriculum informed by ethnomathematics? A critical review. Educational Studies in Mathematics, 52(3), 327–335. https://doi.org/10.1023/A:1024392222293
  3. Aktuna, H. E. (2013). Sixth grade student’ perceptions of and engagement in ethnomathematical tasks in the area measurement concept (Unpublished master’s thesis). Middle East Technical University, Ankara, Turkey.
  4. Alangui, W. V. (2017). Ethnomathematics and culturally relevant mathematics education in the Philippines. In M. Rosa, L. Shirley, M. Gavarrete, & W. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 183–208). Springer. https://doi.org/10.1007/978-3-319-59220-6_10
  5. Amit, M., & Abu Qouder, F. (2017). Weaving culture and mathematics in the classroom: The case of Bedouin ethnomathematics. In M. Rosa, L. Shirley, M. Gavarrete, & W. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 23–50). Springer. https://doi.org/10.1007/978-3-319-59220-6_2
  6. Anderson-Pence, K. (2015). Ethnomathematics: The role of culture in the teaching and learning of mathematics. https://www.researchgate.net/publication/280865220
  7. Arı, A. A. (2022). Türk kültüründen etnomodelleme yansımaları. Kesit Akademi Dergisi, 8 (33), 200-223.
  8. Arı, A. A., & Demir, B. (2022). Matematiksel modellemenin kültürel perspektifi: Etnomodelleme. Kültür Araştırmaları Dergisi, 12, 253–270. https://doi.org/10.46250/kulturder.1067167
  9. Arseven, A. D. (1994). Alan araştırma yöntemi: İlkeler, teknikler, örnekler. Gül Yayınevi.
  10. Bahadır, E. (2021). Göçmen öğrencilerin matematik eğitiminde etnomatematik yaklaşımının kullanılması. Milli Eğitim Dergisi, Türkiye’de ve Dünyada Göçmen Eğitimi, 577–594. https://doi.org/10.37669/milliegitim.959829
  11. Bishop, A. J. (1994). Cultural conflicts in mathematics education: Developing a research agenda. For the Learning of Mathematics, 14(2), 15–18.
  12. Blum, W., & Leiß, D. (2007). How do students and teachers deal with mathematical modelling problems? The example Sugerloaf. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling: Education, engineering and economics (pp. 222–231). Horwood.
  13. Cavanagh, M. (2008). Area measurement in Year 7. Reflections, 33(1), 55–58. http://www.curriculum.support.education.nsw.gov.au/secondary/mathematics/assets/pdf/s4_teach_ideas/area/area_meas.pdf
  14. Chappell, M. F., & Thompson, D. R. (1999). Perimeter or area?: Which measure is it? Mathematics Teaching in the Middle School, 5(1), 20–23.
  15. Çavuş Erdem, Z. (2018). Matematiksel modelleme etkinliklerine dayalı öğrenim sürecinin alan ölçme konusu bağlamında incelenmesi (Unpublished doctoral dissertation). Adıyaman University, Adıyaman.
  16. D’Ambrosio, U., & D’Ambrosio, B. S. (2013). The role of ethnomathematics in curricular leadership in mathematics education. Journal of Mathematics Education at Teachers College, 4(1), 19–25.
  17. Ergene, Ö., Çaylan-Ergene, B., & Yazıcı, E. Z. (2020). Ethnomathematics activities: Reflections from the design and implementation process. Turkish Journal of Computer and Mathematics Education, 11(2), 402–437. https://doi.org/10.16949/turkbilmat.688780
  18. Horzum, T., & Yildiz, E. (2023). Examination of middle school mathematics textbooks in terms of values. International Electronic Journal of Mathematics Education, 18(2), em0731. https://doi.org/10.29333/iejme/12908
  19. James, A. T., & Tertsea, J. (2021). The effect of ethno-mathematics on junior secondary school students’ achievement and retention in geometry in Benue State, Nigeria: A coronavirus pandemic case study. International Journal of Research and Innovation in Applied Science (IJRIAS), 6(4), 95–100.
  20. Jurdak, M. (2016). Learning and teaching real world problem solving in school mathematics: Mathematical literacy: Does it exist? Springer. https://doi.org/10.1007/978-3-319-22846-4
  21. Karadağ, Z., & Akar, G. K. (2020). El sanatları ve matematik: Cebir dünyasına bakış. Boğaziçi Üniversitesi Eğitim Dergisi, 37(2), 123–146. https://dergipark.org.tr/en/download/article-file/1453427
  22. Kurumeh, M. S., Onah, F. O., & Mohammed, A. S. (2012). Improving students’ retention in junior secondary school statistics using ethno-mathematics teaching approach. Greener Journal of Educational Research, 2(3), 54–62.
  23. Küçük, A. (2013). Ethnomathematics in Anatolia I (In Turkey): Geometry perception in multiculturalism. Educational Research and Reviews, 8(16), 1360–1368. https://doi.org/10.5897/ERR012.231
  24. Lesh, R. A., & Doerr, H. M. (2003). Beyond constructivism: A models and modeling perspective on mathematics teaching, learning, and problem solving. Lawrence Erlbaum.
  25. Lipka, J., & Adams, B. (2004). Culturally based math education as a way to improve Alaska Native students’ math performance. Working Paper Series, No. 20. Appalachian Collaborative Center for Learning, Assessment and Instruction in Mathematics.
  26. Magallanes, A. M. (2003). Comparison of student test scores in a coordinate plane unit using traditional classroom techniques versus traditional techniques coupled with ethnomathematics software at Torch Middle School (Unpublished master’s thesis). National University, USA.
  27. Maulana, G., Zaenuri, Z., & Junaedi, I. (2020). Pattern of problem-solving skill reviewed based on student cognitive style after experiencing problem-based learning model with ethnomathematics nuances. Journal of Primary Education, 9(2), 209–219.
  28. Milli Eğitim Bakanlığı (MEB). (2018b). Matematik dersi öğretim programı (ilkokul ve ortaokul 1-8. sınıflar). Ankara: MEB Yayınları. https://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=354
  29. Nursyahidah, F., Saputro, B. A., & Rubowo, M. R. (2018). Students’ problem-solving ability based on realistic mathematics with ethnomathematics. Journal of Research and Advances in Mathematics Education, 3(1), 13–24. https://eric.ed.gov/?id=EJ1283906
  30. Omere, P. O., & Ogedengbe, S. (2022). Effect of ethnomathematics teaching method on mathematics achievement in geometry among secondary school students in Edo State. Rivers State University Journal of Education, 25(1), 99–105.
  31. Orey, D. C., & Rosa, M. (2006). Ethnomathematics: Cultural assertions and challenges towards pedagogical action. The Journal of Mathematics and Culture, 6(1), 57–78.
  32. Orey, D. C., & Rosa, M. (2021). Ethnomodelling as a globalization process of mathematical practices through cultural dynamism. The Mathematics Enthusiast, 18(3), 439–468.
  33. Owens, K., & Muke, C. (2020). Revising the history of number: How ethnomathematics transforms perspectives on indigenous cultures. Revemop, 2.
  34. Owens, K., Edmonds-Wathen, C., & Bino, V. (2015). Bringing ethnomathematics to elementary school teachers in Papua New Guinea: A design-based research project. Revista Latinoamericana de Etnomatemática: Perspectivas Socioculturales de la Educación Matemática, 8(2), 32–52.
  35. Pais, A., & Mesquita, M. (2013). Ethnomathematics in non-formal educational settings: The Urban Boundaries project. Revista Latinoamericana de Etnomatemática, 6(3), 134–144.
  36. Powell, A. B., & Frankenstein, M. (1997). Introduction. In A. B. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging Eurocentrism in mathematics education (pp. 1–4). State University of New York Press.
  37. Rosa, M. (2005). The ethnomathematics of Bakairi body painting. In NCTM Annual Meeting and Exposition: Embracing Mathematical Diversity. Anaheim, CA: NCTM.
  38. Rosa, M., & Orey, D. C. (2010). Ethnomodeling: A pedagogical action for uncovering ethnomathematical practices. Journal of Mathematical Modelling and Application, 1(3), 58–67.
  39. Rosa, M., & Orey, D. C. (2011). Ethnomathematics: The cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, 4(2), 32–54. https://revista.etnomatematica.org/index.php/RevLatEm/article/view/32
  40. Rosa, M., & Orey, D. C. (2012). O campo de pesquisa em etnomodelagem: As abordagens êmica, ética e dialética [The research field of ethnomodelling: Emic, etic, and dialectic approaches]. Educação e Pesquisa, 38(4), 865–879.
  41. Rosa, M., & Orey, D. C. (2013). Ethnomodeling as a research theoretical framework on ethnomathematics and mathematical modeling. Journal of Urban Mathematics Education, 6(2), 62–80. https://files.eric.ed.gov/fulltext/EJ1085784.pdf
  42. Rosa, M., & Orey, D. C. (2016). State of the art in ethnomathematics. In M. Rosa, U. D’Ambrosio, D. C. Orey, L. Shirley, W. V. Alangui, P. Palhares, & M. E. Gavarrete (Eds.), Current and future perspectives of ethnomathematics as a program (pp. 11–37). Springer. https://doi.org/10.1007/978-3-319-30120-4_3
  43. Rosa, M., & Orey, D. C. (2018). The anthropological dimension on ethnomodelling research based on ethnomathematics and modelling. Open Access Journal of Archaeology & Anthropology, 1(1), 1–8.
  44. Rosa, M., & Orey, D. C. (2019). Ethnomodelling as the translation of diverse cultural mathematical practices. In B. Sriraman (Ed.), Handbook of the mathematics of the arts and sciences (pp. 1–29). Springer. https://doi.org/10.1007/978-3-319-70658-0_100-1
  45. Rosa, M., & Orey, D. C. (2021). An ethnomathematical perspective of STEM education in a glocalized world. Bolema: Boletim de Educação Matemática, 35, 840–876. https://doi.org/10.1590/1980-4415v35n70a14
  46. Sharma, T., & Orey, D. C. (2017). Meaningful mathematics through the use of cultural artifacts. In M. Rosa, L. Shirley, M. Gavarrete, & W. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 153–179). Springer. https://doi.org/10.1007/978-3-319-59220-6_8
  47. Shirley, L. (2001). Ethnomathematics as a fundamental of instructional methodology. ZDM – Zentralblatt für Didaktik der Mathematik, 33(3), 85–87. https://doi.org/10.1007/BF02655696
  48. Somuncu, B. & Yıldız, B. (2024). Farklı kültürlerde uygulanan etnomodelleme çalışmalarının ChatGPT ile incelenmesi, XI International Eurasian Educational Research Congress, Kocaeli, Turkey.
  49. Sonego, G. V. (2009). As contribuições da etnomodelagem matemática no estudo da geometria espacial (Unpublished master’s thesis). Centro Universitário Franciscano de Santa Maria, RS, Brazil.
  50. Sreylak, O., Sampouw, F., Saputro, T. V. D., & Lumbantobing, W. L. (2022). Mathematics concept in elementary school: A bibliometric analysis. Journal of Educational Learning and Innovation, 2(2), 268–278. https://doi.org/10.46229/elia.v2i2.512
  51. Stillman, G., & Balatti, J. (2000). Contribution of ethnomathematics to mainstream mathematics classroom practices. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Sociocultural research on mathematics education: An international perspective (pp. 201–216). Lawrence Erlbaum.
  52. Tabachnick, B. G., & Fidell, L. S. (2013). Using multivariate statistics (6th ed.). Allyn and Bacon.
  53. Tan Şişman, G., & Aksu, M. (2009). Yedinci sınıf öğrencilerinin alan ve çevre konularındaki başarıları. İlköğretim Online, 8(1), 243–253.
  54. Umbara, U., Suryani, N., Hermita, N., & Mulyani, T. (2021). Exploring ethnomathematics with ethnomodelling methodological approach: How does Cigugur indigenous people use calculations to determine good day to build houses. EURASIA Journal of Mathematics, Science and Technology Education, 17(2), em1947. https://doi.org/10.29333/ejmste/9696
  55. Unodiaku, S. S. (2013). Effect of ethno-mathematics teaching materials on students’ achievement in mathematics in Enugu State. Journal of Education and Practice, 4(23), 70–77.
  56. Widada, W., Herawaty, D., & Lubis, A. N. M. T. (2018). Realistic mathematics learning based on the ethnomathematics in Bengkulu to improve students’ cognitive level. Journal of Physics: Conference Series, 1088, 012028. https://doi.org/10.1088/1742-6596/1088/1/012028
  57. Verner, I., Massarwe, K., & Bshouty, D. (2013). Constructs of engagement emerging in an ethnomathematically-based teacher education course. The Journal of Mathematical Behavior, 32(3), 494–507. https://doi.org/10.1016/j.jmathb.2013.07.002
  58. Verschaffel, L., Greer, B., & De Corte, E. (2002). Everyday knowledge and mathematical modeling of school word problems. In K. P. Gravemeijer, R. Lehrer, H. J. van Oers, & L. Verschaffel (Eds.), Symbolizing, modeling and tool use in mathematics education (pp. 171–195). Dordrecht: Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47203-1_10