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Dönüşüm Geometrisi Öğretiminde Etnomatematiksel Bir Yaklaşım Kullanımı: Kilim Etkinliği

Year 2025, Volume: 54 Issue: 2, 670 - 714, 31.08.2025
https://doi.org/10.14812/cuefd.1525565

Abstract

Bu araştırmanın amacı, geometri öğretiminde dönüşüm geometrisi alt öğrenme alanıyla ilgili konulardan olan yansıma, öteleme, dönme ve simetri ekseni konularının etnomatematik destekli öğretimine ilişkin öğrenci algılarını incelemektir. Bu çalışma, 2023-2024 eğitim-öğretim yılı bahar döneminde Tekirdağ'daki bir devlet okulunda öğrenim gören on dört 8. sınıf öğrencisi ile gerçekleştirilmiştir. Katılımcıların algıları, etnomatematiği dönüşüm geometrisiyle bütünleştiren üç haftalık bir ders süreci (haftada iki ders saati) boyunca incelenmiştir. Veri toplama araçları ders video kayıtlarını, öğretmen yansıtma günlüklerini, öğrenci yansıtıcı düşünme formlarını ve öğrenci çalışma sayfalarını içermektedir. Verilerin analizi için içerik analizi kullanılmıştır. Araştırma bulgularına göre etnomatematik bakış açısının entegrasyonu öğrencilerin geometri içeriğine olan ilgisini ve motivasyonunu artırmıştır. Öğrencilerin algıları, geometrik kavramları günlük hayatla ilişkilendirebildiklerini göstermiştir. Etnomatematik perspektifi öğrencilere dönüşüm geometrisi ile ilgili kavramları sorgulama ve bunlarla ilgili kavramsal çıkarımlar yapma konusunda yardımcı olmuştur.

References

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  • Achor, E. E., Imoko, B., & Uloko, E. (2009). Effect of ethnomathematics teaching approach on senior secondary students’ achievement and retention in locus. Educational Research and Review, 4(8), 385-390. https://doi.org/10.5897/ERR.9000122
  • Adam, S. (2002). Ethnomathematics in the Maldivian curriculum. In M. de Monteiro (Ed.), Proceedings of the 2nd International Congress on Ethnomathematics (ICEM2) (CD). Ouro Preto, Brazil: Lyrium Comunacacao Ltda.
  • Adam, S. (2004). Ethnomathematical ideas in the curriculum. Mathematics Education Research Journal, 16(2), 49-68. doi: 10.1007/BF03217395
  • Aguirre, J. M., Turner, E. E., Bartell, T. G., Kalinec-Craig, C., Foote, M. Q., McDuffie, A. R., and Drake, C. (2013). “Making connections in practice: How prospective elementary teachers connect to children's mathematical thinking and community funds of knowledge in mathematics instruction”. Journal of Teacher Education, 64 (2), 178-193. https://doi.org/10.1177/0022487112466900
  • Aktuna, H. E. (2013). Sixth grade students’ perceptions of and engagement in ethnomathematical tasks in the area measurement concept (Yüksek Lisans Tezi). YÖK Tez Merkezi veri tabanından erişildi (Tez No: 345122).
  • Amit, M., & Abu Qouder, F. A. (2017). Weaving culture and mathematics in the classroom: The case of Bedouin ethnomathematics. In M. Rosa, D. C. Mendonça, J. E. Clark, & S. K. Straesser (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 23–50). Springer. https://doi.org/10.1007/978-3-319-59220-6_2
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  • Bakkal Boztepe, H. N. (2025). Etnomatematik araştırmalarına genel bakış: Bir meta-sentez çalışması (Yüksek lisans tezi). Karamanoğlu Mehmetbey Üniversitesi Fen Bilimleri Enstitüsü. YÖK Tez Merkezi veri tabanından erişildi (Tez No: 920100).
  • Balabuch, A., & Rasoarifetra, B. (2023). Why weaving? Teaching heritage, mathematics, science and the self. African Archaeological Review, 40(3), 481–491. https://doi.org/10.1007/s10437-023-09541-w
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  • D’Ambrosio, U. (2018). The program ethnomathematics: Cognitive, anthropological, historic and socio-cultural bases. PNA-Revista de Investigación en Didáctica de la Matemática, 12(4), 229-247. doi: 10.30827/pna.v12i4.7851
  • Demir, G., & Seçkin Kapucu, M. (2023). Ethnomathematics approaches at middle school textbooks. Osmangazi Journal of Educational Research, 10(1), 120-141. https://doi.org/10.59409/ojer.1269449
  • Desai, S., Kurtz, B., & Safi, F. (2021). Mathematics heritage project: An exploration empowering students' mathematical identities. Journal of Humanistic Mathematics, 11(2), 106–122. https://doi.org/10.5642/jhummath.202112.07
  • Erbek, M. (2002). Çatalhöyük'ten günümüze Anadolu motifleri. T.C. Kültür Bakanlığı Yayınları.
  • Ergene, Ö., & Ergene, B. Ç. (2020). Ethnomathematics activities: reflections from the design and implementation process. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 11(2), 402-437. https://doi.org/10.16949/turkbilmat.688780
  • Erlandson, D. A., Harris, E. L., Skipper, B. L., & Allen, S. D. (1993). Doing naturalistic inquiry: A guide to methods. SAGE Publications. Erişim adresi: https://l24.im/ubFeASp
  • Gerdes, P. (1998). On culture and mathematics teacher education. Journal of Mathematics Teacher Education, 1(1), 33-53. doi: 10.1023/A:1009955031429
  • Günay, K. (2023). Etnomatematik uygulamalarının kullanıldığı öğretimin öğrencilerin problem çözme becerileri ve duyuşsal davranışları üzerindeki etkisinin incelenmesi (Yüksek lisans tezi). Sakarya Üniversitesi, Sakarya. YÖK Tez Merkezi veri tabanından erişildi (Tez No: 822635).
  • Herawaty, D., Widada, W., Nugroho, K. U. Z., & Anggoro, A. F. D. (2018). The improvement of the understanding of mathematical concepts through the implementation of realistic mathematics learning and ethnomathematics. Advances in Social Science, Education and Humanities Research, 295, 21-25. doi: 10.2991/icetep-18.2019.6
  • Imswatama, A., & Lukman, H. S. (2018). The effectiveness of mathematics teaching material based on ethnomathematics. International Journal of Trends in Mathematics Education Research, 1(1), 35-38. doi: https://doi.org/10.33122/ijtmer.v1i1.11
  • Irawan, A., Kencanawaty, G., & Febriyanti, C. (2018). Realistic mathematics and ethnomathematics in improving problem solving abilities. Journal of Physics: Conference Series, 1114(1), 1-5. doi: 10.1088/1742-6596/1114/1/012108
  • Kara, M., & Togrol, A. Y. (2010). Effects of instructional design integrated with ethnomathematics: Attitudes and achievement. In K. Gomez, L. Lyons, & J. Radinsky (Eds.), Learning in the Disciplines: Proceedings of the 9th International Conference of the Learning Sciences (Vol. 1, pp. 730-735). International Society of the Learning Sciences. https://doi.dx.org/10.22318/icls2010.1.730
  • Küçük, A. (2014). Ethnomathematics in Anatolia-Turkey: Mathematical thoughts in multiculturalism. Revista Latinoamericana de Etnomatemática Perspectivas Socioculturales de la Educación Matemática, 7(1), 171-184. Erişim adresi: http://www.redalyc.org/pdf/2740/274030901008.pdf
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  • Mania, S., & Alam, S. (2021). Teachers’ perception toward the use of ethnomathematics approach in teaching math. International Journal of Education in Mathematics, Science, and Technology, 9(2), 282-298. doi: 10.46328/IJEMST.1551
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  • MEB. (2024). Ortaokul matematik dersi (5, 6, 7 ve 8. sınıflar) öğretim programı. Ankara: TTKB.
  • Merriam, S. B. (2018). Nitel araştırma desen ve uygulama için bir rehber (S. Turan, Çev.). Ankara: Nobel Akademik Yayıncılık.
  • Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Sage Publications.
  • Nur, A. S., Waluya, S. B., Rochmad, R., & Wardono, W. (2020). Contextual learning with ethnomathematics in enhancing the problem solving based on thinking levels. Journal of Research and Advances in Mathematics Education, 5(3), 331-344. doi: 10.23917/jramathedu.v5i3.11679
  • 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. doi: 10.23917/jramathedu.v3i1.5607
  • Orey, D., & Rosa, S. (2007). Cultural assertions and challenges towards pedagogical action of an ethnomathematics program. For the Learning of Mathematics, 27(1), 10-16. Erişim adresi: https://www.jstor.org/stable/40248554
  • Palinussa, A. L. (2013). Students’ critical mathematical thinking skills and character: Experiments for junior high school students through realistic mathematics education culture-based. Journal on Mathematics Education, 4(1), 75–94. https://doi.org/10.22342/jme.4.1.566.75-94
  • Patton, M. Q. (2018). Nitel araştırma ve değerlendirme yöntemleri (M. Bürün & S. B. Demir, Çev. Ed.). Ankara: Pegem Akademi.
  • Prahmana, R. C. I., & D’Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439-456. doi: 10.22342/jme.11.3.12949.439-456
  • Putra, M. (2018). How ethnomathematics can bridge informal and formal mathematics in mathematics learning process at school. For the Learning of Mathematics, 38(3), 11–14. https://www.jstor.org/stable/26548503
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Using an Ethnomathematical Approach in Teaching Transformational Geometry: The Kilim Activity

Year 2025, Volume: 54 Issue: 2, 670 - 714, 31.08.2025
https://doi.org/10.14812/cuefd.1525565

Abstract

The aim of this study is to examine students' perceptions about ethnomathematics-supported instruction of the topics of reflection, translation, rotation and axis of symmetry, which are part of the sub-domain of transformational geometry in geometry education. This study was conducted with fourteen 8th-grade students enrolled in a public school in Tekirdağ, Turkey during the spring semester of the 2023-2024 academic year. The participants' perceptions were examined throughout a three-week course (two class hours per week) that integrated ethnomathematics with transformational geometry. Data collection tools included lesson video recordings of the lessons, teacher reflection journals, student reflective thinking forms, and student worksheets. Content analysis was used to analyze the data. According to the research findings, the integration of an ethnomathematics approach increased students' interest and motivation toward geometry content. Students' perceptions showed that they were able to relate geometric concepts to everyday life. The ethnomathematics approach also assisted students in questioning concepts related to transformational geometry and drawing conceptual inferences.

References

  • Abiam, P. O., Abonyi, O. S., Ugama, J. O., & Okafor, G. (2016). Effects of ethnomathematics-based instructional approach on primary school pupils’ achievement in geometry. Journal of Scientific Research & Reports, 9(2), 1-15. doi: 10.9734/JSRR/2016/19079
  • Achor, E. E., Imoko, B., & Uloko, E. (2009). Effect of ethnomathematics teaching approach on senior secondary students’ achievement and retention in locus. Educational Research and Review, 4(8), 385-390. https://doi.org/10.5897/ERR.9000122
  • Adam, S. (2002). Ethnomathematics in the Maldivian curriculum. In M. de Monteiro (Ed.), Proceedings of the 2nd International Congress on Ethnomathematics (ICEM2) (CD). Ouro Preto, Brazil: Lyrium Comunacacao Ltda.
  • Adam, S. (2004). Ethnomathematical ideas in the curriculum. Mathematics Education Research Journal, 16(2), 49-68. doi: 10.1007/BF03217395
  • Aguirre, J. M., Turner, E. E., Bartell, T. G., Kalinec-Craig, C., Foote, M. Q., McDuffie, A. R., and Drake, C. (2013). “Making connections in practice: How prospective elementary teachers connect to children's mathematical thinking and community funds of knowledge in mathematics instruction”. Journal of Teacher Education, 64 (2), 178-193. https://doi.org/10.1177/0022487112466900
  • Aktuna, H. E. (2013). Sixth grade students’ perceptions of and engagement in ethnomathematical tasks in the area measurement concept (Yüksek Lisans Tezi). YÖK Tez Merkezi veri tabanından erişildi (Tez No: 345122).
  • Amit, M., & Abu Qouder, F. A. (2017). Weaving culture and mathematics in the classroom: The case of Bedouin ethnomathematics. In M. Rosa, D. C. Mendonça, J. E. Clark, & S. K. Straesser (Eds.), Ethnomathematics and its diverse approaches for mathematics education (pp. 23–50). Springer. https://doi.org/10.1007/978-3-319-59220-6_2
  • Andersson, A. (2008). A cultural visit in mathematics education. In B. Sriraman, C. Michelsen, A. Beckmann, & V. Freiman (Eds.), Proceedings of the Second International Symposium on Mathematics and its Connections to the Arts and Sciences (MACAS2) (pp. 255-264). Information Age Publishing. Erişim adresi: https://l24.im/TNOU
  • Arslan, E. (2021). Turistik tüketimin kimlik inşasındaki rolü. (Yayımlanmamış Doktora Tezi). Anadolu Üniversitesi Sosyal Bilimler Enstitüsü, Eskişehir, Türkiye. YÖK Tez Merkezi veri tabanından erişildi (Tez No: 707299).
  • Bakkal Boztepe, H. N. (2025). Etnomatematik araştırmalarına genel bakış: Bir meta-sentez çalışması (Yüksek lisans tezi). Karamanoğlu Mehmetbey Üniversitesi Fen Bilimleri Enstitüsü. YÖK Tez Merkezi veri tabanından erişildi (Tez No: 920100).
  • Balabuch, A., & Rasoarifetra, B. (2023). Why weaving? Teaching heritage, mathematics, science and the self. African Archaeological Review, 40(3), 481–491. https://doi.org/10.1007/s10437-023-09541-w
  • Bishop, A. J. (1994). Cultural conflicts in mathematics education: Developing a research agenda. For the Learning of Mathematics, 14(2), 15-18. Erişim adresi: https://www.jstor.org/stable/40248109
  • Boaler, J. (1993). The role of contexts in the mathematics classroom: Do they make mathematics more "real"? For the Learning of Mathematics, 13(2), 12-17. doi: 10.2307/40248079
  • Brenner, M. E. (2002). Everyday problem solving and curriculum implementation: An invitation to try pizza. In M. E. Brenner & J. N. Moschkovich (Eds.), Everyday and academic mathematics in the classroom (pp. 63–92). Reston, VA: National Council of Teachers of Mathematics. https://doi.org/10.2307/749965
  • Civil, M., Planas, N., & Quintos, B. (2005). Immigrant parents’ perspectives on their children’s mathematics. Zentralblatt für Didaktik der Mathematik, 37(2), 81-89. doi: 10.1007/BF02655717
  • Çenberci, S., & Horzum, T. (2023). Matematik öğretmeni adaylarının etnomatematik farkındalıklarının incelenmesi. Ahmet Keleşoğlu Eğitim Fakültesi Dergisi (AKEF) Dergisi, 5(3), 713-732. doi: 10.38151/akef.2023.80
  • D’Ambrosio, U. (2018). The program ethnomathematics: Cognitive, anthropological, historic and socio-cultural bases. PNA-Revista de Investigación en Didáctica de la Matemática, 12(4), 229-247. doi: 10.30827/pna.v12i4.7851
  • Demir, G., & Seçkin Kapucu, M. (2023). Ethnomathematics approaches at middle school textbooks. Osmangazi Journal of Educational Research, 10(1), 120-141. https://doi.org/10.59409/ojer.1269449
  • Desai, S., Kurtz, B., & Safi, F. (2021). Mathematics heritage project: An exploration empowering students' mathematical identities. Journal of Humanistic Mathematics, 11(2), 106–122. https://doi.org/10.5642/jhummath.202112.07
  • Erbek, M. (2002). Çatalhöyük'ten günümüze Anadolu motifleri. T.C. Kültür Bakanlığı Yayınları.
  • Ergene, Ö., & Ergene, B. Ç. (2020). Ethnomathematics activities: reflections from the design and implementation process. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 11(2), 402-437. https://doi.org/10.16949/turkbilmat.688780
  • Erlandson, D. A., Harris, E. L., Skipper, B. L., & Allen, S. D. (1993). Doing naturalistic inquiry: A guide to methods. SAGE Publications. Erişim adresi: https://l24.im/ubFeASp
  • Gerdes, P. (1998). On culture and mathematics teacher education. Journal of Mathematics Teacher Education, 1(1), 33-53. doi: 10.1023/A:1009955031429
  • Günay, K. (2023). Etnomatematik uygulamalarının kullanıldığı öğretimin öğrencilerin problem çözme becerileri ve duyuşsal davranışları üzerindeki etkisinin incelenmesi (Yüksek lisans tezi). Sakarya Üniversitesi, Sakarya. YÖK Tez Merkezi veri tabanından erişildi (Tez No: 822635).
  • Herawaty, D., Widada, W., Nugroho, K. U. Z., & Anggoro, A. F. D. (2018). The improvement of the understanding of mathematical concepts through the implementation of realistic mathematics learning and ethnomathematics. Advances in Social Science, Education and Humanities Research, 295, 21-25. doi: 10.2991/icetep-18.2019.6
  • Imswatama, A., & Lukman, H. S. (2018). The effectiveness of mathematics teaching material based on ethnomathematics. International Journal of Trends in Mathematics Education Research, 1(1), 35-38. doi: https://doi.org/10.33122/ijtmer.v1i1.11
  • Irawan, A., Kencanawaty, G., & Febriyanti, C. (2018). Realistic mathematics and ethnomathematics in improving problem solving abilities. Journal of Physics: Conference Series, 1114(1), 1-5. doi: 10.1088/1742-6596/1114/1/012108
  • Kara, M., & Togrol, A. Y. (2010). Effects of instructional design integrated with ethnomathematics: Attitudes and achievement. In K. Gomez, L. Lyons, & J. Radinsky (Eds.), Learning in the Disciplines: Proceedings of the 9th International Conference of the Learning Sciences (Vol. 1, pp. 730-735). International Society of the Learning Sciences. https://doi.dx.org/10.22318/icls2010.1.730
  • Küçük, A. (2014). Ethnomathematics in Anatolia-Turkey: Mathematical thoughts in multiculturalism. Revista Latinoamericana de Etnomatemática Perspectivas Socioculturales de la Educación Matemática, 7(1), 171-184. Erişim adresi: http://www.redalyc.org/pdf/2740/274030901008.pdf
  • Lincoln, Y. S., & Guba, E. G. (1985). Naturalistic inquiry. SAGE Publications. http://dx.doi.org/10.1016/0147-1767(85)90062-8
  • Mania, S., & Alam, S. (2021). Teachers’ perception toward the use of ethnomathematics approach in teaching math. International Journal of Education in Mathematics, Science, and Technology, 9(2), 282-298. doi: 10.46328/IJEMST.1551
  • MEB. (2013). Ortaokul matematik dersi (5, 6, 7 ve 8. sınıflar) öğretim programı. Ankara: TTKB.
  • MEB. (2024). Ortaokul matematik dersi (5, 6, 7 ve 8. sınıflar) öğretim programı. Ankara: TTKB.
  • Merriam, S. B. (2018). Nitel araştırma desen ve uygulama için bir rehber (S. Turan, Çev.). Ankara: Nobel Akademik Yayıncılık.
  • Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Sage Publications.
  • Nur, A. S., Waluya, S. B., Rochmad, R., & Wardono, W. (2020). Contextual learning with ethnomathematics in enhancing the problem solving based on thinking levels. Journal of Research and Advances in Mathematics Education, 5(3), 331-344. doi: 10.23917/jramathedu.v5i3.11679
  • 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. doi: 10.23917/jramathedu.v3i1.5607
  • Orey, D., & Rosa, S. (2007). Cultural assertions and challenges towards pedagogical action of an ethnomathematics program. For the Learning of Mathematics, 27(1), 10-16. Erişim adresi: https://www.jstor.org/stable/40248554
  • Palinussa, A. L. (2013). Students’ critical mathematical thinking skills and character: Experiments for junior high school students through realistic mathematics education culture-based. Journal on Mathematics Education, 4(1), 75–94. https://doi.org/10.22342/jme.4.1.566.75-94
  • Patton, M. Q. (2018). Nitel araştırma ve değerlendirme yöntemleri (M. Bürün & S. B. Demir, Çev. Ed.). Ankara: Pegem Akademi.
  • Prahmana, R. C. I., & D’Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439-456. doi: 10.22342/jme.11.3.12949.439-456
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There are 53 citations in total.

Details

Primary Language English
Subjects Mathematics Education
Journal Section Article
Authors

Beytullah Ömer Dumlu 0000-0002-5674-8945

Çiğdem Alkaş Ulusoy 0000-0002-0763-4044

Publication Date August 31, 2025
Submission Date July 31, 2024
Acceptance Date July 31, 2025
Published in Issue Year 2025 Volume: 54 Issue: 2

Cite

APA Dumlu, B. Ö., & Alkaş Ulusoy, Ç. (2025). Using an Ethnomathematical Approach in Teaching Transformational Geometry: The Kilim Activity. Çukurova Üniversitesi Eğitim Fakültesi Dergisi, 54(2), 670-714. https://doi.org/10.14812/cuefd.1525565

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