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Journals / Batı Anadolu Eğitim Bilimleri Dergisi / 2026 / Cilt: 17 Sayı: 1

An Investigation of 7th Grade Students’ Use of Visual Strategies in Shape Pattern Problems

7. Sınıf Öğrencilerinin Şekil Örüntüsü Problemlerinde Görsel Stratejileri Kullanma Durumlarının İncelenmesi

Ayşen Temizel(Milli Eğitim Bakanlığı)0000-0003-1423-0424
Ercan Özdemir(RECEP TAYYİP ERDOĞAN ÜNİVERSİTESİ, EĞİTİM FAKÜLTESİ)0000-0003-4797-9327
Pages
421–445
Publication Date
2026-04-28
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AI Summary & Key Takeaways

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

In line with the results obtained in this study, it is recommended that students focus on the structure of the shape as well as the numerical values in the visual patterns.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study aims to examine the use of visual strategies by 7th grade students in visual pattern problems.
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Key Findings & Data:The study was conducted with 12 students enrolled in the seventh grade of a middle school.
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Conclusion & Impact:In line with the results obtained in this study, it is recommended that students focus on the structure of the shape as well as the numerical values in the visual patterns.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Örüntü · Genelleme · Görsel Strateji

Abstract

This study aims to examine the use of visual strategies by 7th grade students in visual pattern problems. A case study design, one of the qualitative research methods, was used in the study. The study was conducted with 12 students enrolled in the seventh grade of a middle school. In the study, a data collection tool including 6 visual pattern problems was used. In the analysis of the data obtained in the study, the descriptive analysis method was used. It was determined that the students used the numerical explicit strategy the most while finding the rules of the patterns. In the study, it was observed that visual strategies such as constructive, transformative constructive, auxiliary constructive, deconstructive were used very little. Students mostly did not consider the structure of the shape in the shape pattern problems and tried to solve the problems by focusing on the numerical values in the visual. It was observed that students mostly reached the correct answers in solving the pattern problems. In line with the results obtained in this study, it is recommended that students focus on the structure of the shape as well as the numerical values in the visual patterns. It is also recommended that the strengths of these strategies be highlighted in order to encourage students to use visual strategies.

Özet

Bu çalışmada 7. sınıf öğrencilerinin şekil örüntüsü problemlerinde görsel stratejileri kullanma durumlarının incelenmesi amaçlanmıştır. Çalışmada nitel araştırma yöntemlerinden durum çalışması deseni kullanılmıştır. Çalışma ortaokul yedinci sınıfta öğrenim gören 12 öğrenci ile yürütülmüştür. Çalışmada 6 tane şekil örüntüsü problemini içeren veri toplama aracı kullanılmıştır. Çalışmada elde edilen verilerin analizinde, betimsel analiz yöntemi kullanılmıştır. Öğrencilerin örüntülerin kurallarını bulurken en çok sayısal belirgin stratejiyi kullandıkları tespit edilmiştir. Çalışmada yapıcı, tamamlamaya dayalı yapıcı, dönüşüme dayalı yapıcı, yapıyı çözücü gibi görsel stratejilerin oldukça az kullanıldığı görülmüştür. Öğrenciler şekil örüntüsü problemlerinde ağırlıklı olarak şeklin yapısını dikkate almamışlar ve şekillerdeki sayısal değerlere odaklanarak problemleri çözmeye çalışmışlardır. Öğrencilerin örüntü problemlerinin çözümünde çoğunlukla doğru cevaplara ulaştıkları görülmüştür. Bu çalışmada ulaşılan sonuçlar doğrultusunda, öğrencilerin şekil örüntülerindeki sayısal değerlerin yanı sıra şeklin yapısına da odaklanmalarının sağlanması önerilmektedir. Öğrencileri görsel stratejileri kullanmaya teşvik etmek için bu stratejilerin güçlü yönleri ön plana çıkarılması da önerilmektedir.

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Cite This Article

Temizel, A., Özdemir, E. (2026). An Investigation of 7th Grade Students’ Use of Visual Strategies in Shape Pattern Problems. Batı Anadolu Eğitim Bilimleri Dergisi, Cilt: 17 Sayı: 1, 421–445. https://doi.org/10.51460/baebd.1756088

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References (43)

  1. Akkan, Y., & Çakıroğlu, Ü. (2012). Generalization Strategies of Linear and Quadratic Pattern: A Comparison of 6th-8th Grade Students. Education and Science, 37(165), 104-120.
  2. Barbosa, A., Vale, I., & Palhares, P. (2012). Pattern tasks: thinking processes used by 6th grade students. Relime, 15(3), 273-293.
  3. Becker, J. R., & Rivera, F. (2005). Generalization an strategies of beginning high school algebra students. In Chick, H.L. ve Vincent, J.L.(Eds). Proceedings of the 29th Conference of the International. Group for the Psychology of Mathematics Education, Vol. 4, pp. 121-128.
  4. Becker, J. R., & Rivera, F. (2006). Sixth graders’ figural and numerical strategies for generalizing patterns in algebra. In Alatorre, S., Cortina, J.L., M. Mendez, A. (Eds). Proceedings of the 28th Annual Meeting of The North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2, pp. 95-101, Merida, Mexico.
  5. Becker, J. R., & Rivera, F. (2007). Factors affecting seventh graders’ cognitive perceptions of patterns involving constructive and deconstructive generalizations. In Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 129-136). Seoul, Korea: The Korea Society of Educational Studies in Mathematics.
  6. Binbaşıoğlu, C. (1994). Genel Öğretim Bilgisi. Ankara: Kadıoğlu Matbaası.
  7. Bloom, B. S., Engelhart, M. D., Furst, E. J., Hill, W. H., & Krathwohl, D. R. (1956). Taxonomy of educational objectives: Handbook I, the cognitive domain. New York: David McKay.
  8. Chua, B. L., & Hoyles, C. (2010). Teacher and student choices of generalising strategies: A Tale Of Two Views? 5th East Asia Regional Conference on Mathematics Education, Tokyo.
  9. Creswell, J. W. (2013). Nitel araştırma yöntemleri: Beş yaklaşıma göre nitel araştırma ve araştırma deseni (4. Baskı). (M. Bütün ve S. B. Demir, Çev. Ed.). Ankara: Siyasal Kitapevi, ISBN: 978-605-4627-45-5, 343s.
  10. Driscoll, M. J. (1999). The Fostering Algebraic Thinking Toolkit: Asking questions of students.
  11. Elbir, D., & Özmen, Z. M. Ö. (2023). Investigation of patterns in secondary school mathematics textbooks in the context of transition from arithmetic to algebra. Turkish Journal of Mathematics Education, 4(2), 1-26.
  12. El Mouhayar, R., & Jurdak, M. (2013). Teachers’ ability to identify and explain students’ actions in near and far figural pattern generalization tasks. Educational Studies in Mathematics, 82, 379-396.
  13. El Mouhayar, R., & Jurdak, M. (2016). Variation of student numerical and figural reasoning approaches by pattern generalization type, strategy use and grade level. International Journal of Mathematical Education in Science and Technology, 47(2), 197-215.
  14. Jurdak, M., & El Mouhayar, R. (2014). Trends in the development of student level of reasoning in pattern generalization tasks across grade level. Educational Studies in Mathematics, 85, 75-92.
  15. Kaput, J. (1999). Teaching and learning a new algebra. In E. Fennema ve T. Romberg (Eds.), Mathematics classrooms that promote understanding. (pp. 135-155), Manwah, NJ: Erlbaum.
  16. Kaya, D. (2015). Çoklu temsil temelli öğretimin öğrencilerin cebirsel muhakeme becerilerine, cebirsel düşünme düzeylerine ve matematiğe yönelik tutumlarına etkisi üzerine bir inceleme. Doktora tezi, Dokuz Eylül Üniversitesi, Eğitim Bilimler Enstitüsü, İzmir.
  17. Kieran, C. (1992). The learning and teaching of school algebra. Handbook of research on mathematics teaching and learning. National Council of Teachers of Mathematics-NCTM, New York. Lannin, J. K. (2003). Developing algebraic reasoning through generalization. Mathematics Teaching in the Middle School, 8(7), 342-348.
  18. Lannin, J. K. (2005). Generalization and justification: The challenge of introducting algebraic reasoning through patterning activities, Mathematical Thinking and Learning, 7(3), 231-258.
  19. Lannin, J. K., Barker, D., & Townsend, B. (2006a). Recursive and explicit rules: How can we build student algebraic understanding? Journal of Mathematical Behavior, 25(4), 299-317.
  20. Lannin, J. K., Barker, D., & Townsend, B. (2006b). Algebraic generalization strategies: factors ınfluencing student strategy selection, Mathematics Education Research Journal, 18(3), 3-28.
  21. Ley, F. A. (2005). A Cross-Sectional Investigation of Elementary School Students’ Ability to Work with Linear Generalizing Patterns: The Impact of Format and Age on Accuracy and Atrategy Shoice. Master dissertatio, Toronto University, Canada.
  22. Markworth, A. K. (2010). Growing and Growing: Promoting Functional Thinking with Geometric Growing Pattern, Doctor of Philosophy, University of North Carolina at Chapel Hill.
  23. Ministry of National Education (MoNE). (2018). Mathematics Curriculum (Grades 1, 2, 3, 4, 5, 6, 7, 8). Ankara: Board of Education.
  24. National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Author.
  25. Olkun, S., & Toluk Uçar, Z. (2007). İlköğretimde etkinlik temelli matematik öğretimi, (Genişletilmiş 3. Baskı), Ankara: Maya Akademi Yayıncılık.
  26. Ontario Ministry of Education (OME). (2013). Paying Attention to Algebraic Reasoning K-12: Support Document for Paying Attention to Mathematics Educaiton.
  27. Orton, J., Orton, A., & Roper, T. (1999). Pictorial and Practical Context and the Presentation of Pattern. In A. Orton (Ed.), Pattern in the Teaching and Learning of Mathematics. s. 121-136. London: Cassel.
  28. Özdemir, E., Dikici, R., & Kültür, M. N. (2015). Students’ Pattern Generalization Process: The 7th Grade Samplei. Kastamonu Education Journal, 23(2), 523-548.
  29. Rivera, F. (2010). Visual templates in pattern generalization activity. Educational Studies in Mathematics, 73(3), 297-328.
  30. Rivera, F., & Becker, J. R. (2008). Middle school children’s cognitive perceptions of constructive and deconstructive generalisations involving linear figural patterns. ZDM: International Journal in Mathematics Education, 40, 65- 82.
  31. Sarıgöz, O. (2013). Sınıfla ve grupla tartışma yöntemlerinin meslek yüksekokulu öğrencilerinin akademik başarılarına etkisi. Ejovoc (Electronic Journal of Vocational Colleges), 3(3), 100-106.
  32. Sasman, M., Olivier, A. ve Linchevski, L. (1999). Factors influencing students’ generalization thinking processes. In O. Zaslavsky (Ed.), Proceedings of the 23th International Conference for Psychology of Mathematics Education, 4, pp 161-168, Haifa, Israel: PME. Smith, E. (2003). Stasis and change: integrating patterns, functions, and algebra throughout the K-12 curriculum. In J. Kilpatrick, W. G. Martin ve Schifter, D. (Eds.), A research companion to principles and standards for school mathematics (pp. 136 -150). Reston, VA: National Council of Teachers of Mathematics.
  33. Stacey, K. (1989). Finding and using patterns in linear generalising problems, Educational Studies in Mathematics, 20(2), 147-164. Stacey, K., & MacGregor, M. (2001). Curriculum reform and approaches to algebra. In R. Lins (Ed.), Perspectives on school algebra (pp. 141–153). Dordrecht, The Netherlands: Kluwer Academic Publishers.
  34. Tanışlı, D., & Yavuzsoy Köse, N. (2011). Lineer şekil örüntülerine ilişkin genelleme stratejileri: Görsel ve sayısal ipuçlarının etkisi. Eğitim ve Bilim, 36(160), 184-198.
  35. Tanışlı, D., & Yavuzsoy Köse, N. (2013). Sınıf öğretmeni adaylarının genelleme sürecindeki bilişsel yapıları: bir öğretim deneyi. Elektronik Sosyal Bilimler Dergisi, 12(44), 255-283.f
  36. Umay, A. (2003). Matematiksel muhakeme yeteneği. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 24, 234- 243.
  37. Walkowiak, A. T. (2014). Elemantary and middle school students’ analyses of pictorialgrowth patterns, Journal of Mathematical Behavior, 33, 56-71.
  38. Van De Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2016). İlkokul ve ortaokul matematiği gelişimsel yaklaşımla öğretim (7. Baskı). (Çeviri Editörü: Soner Durmuş). Ankara: Nobel Akademik Yayıncılık.
  39. Yeşildere, S., & Akkoç, H. (2011). Matematik öğretmen adaylarının şekil örüntülerini genelleme süreçleri. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 30(2), 141- 153.
  40. Yeşildere İmre, S., Akkoç, H., & Baştürk Şahin, B. N. (2017). Ortaokul öğrencilerinin farklı temsil biçimlerini kullanarak matematiksel genelleme yapma becerileri. Turkish Journal of Computer and Mathematics Education, 8(1), 103-129.
  41. Yıldırım, A. ve Şimşek, H. (2016). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
  42. Yıldırım, A. ve Şimşek, H. (2021). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
  43. Zaskis, R., & Liljedahl, P. (2002). Generalization of patterns: The tension between algebraic thinking and algebraic notation. Educational Studies in Mathematics, 49, 379, 402.