Araştırma Makalesi
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An Investigation of 8th-Grade Students’ Metacognitive Skills Employed in the Problem-Solving Process

Yıl 2026, Cilt: 1 Sayı: 1, 77 - 96, 30.01.2026

Öz

The concept of metacognition is one of the key constructs in mathematics education, as it reveals how and what students think while solving mathematical problems. As a cognitive variable influencing the problem-solving process, metacognition is essential for fostering students as successful problem solvers. Therefore, identifying the metacognitive processes students employ during problem solving is of particular importance. This study aims to investigate the metacognitive skills used by 8th-grade students in the problem-solving process. For this purpose, problem-solving sessions were conducted with five students in the Maçka district of Trabzon, and the data were supported by observation forms and clinical interviews. The analysis of the data revealed that the metacognitive strategies students used for prediction, planning, monitoring, and evaluation were not sufficient to explain their problem-solving performance. In addition, it was found that a behavior could be both cognitive and metacognitive depending on the student’s purpose of use.

Kaynakça

  • Arslan, Ç., & Altun, M. (2007). Learning to solve non-routine mathematical problems. Elementary Education Online, 6(1), 50–61.
  • Artzt, A. F., & Armour-Thomas, E. (1992). Development of a cognitive metacognitive framework for protocol analysis of mathematical problem solving in small groups. Cognition and Instruction, 9(2), 137–175.
  • Barkatsas, A. N., & Hunting, R. P. (1996). A review of recent research on cognitive, metacognitive and affective aspects of problem solving. Nordic Studies in Mathematics Education, 4(4), 9–30. https://doi.org/10.7146/nomad.v4i4.146434
  • Brown, A. L. (1978). Knowing when, where, and how to remember: A problem of metacognition. In R. Glasser (Ed.), Advances in Instructional Psychology (Vol. 1, pp. 77–165). Hillsdale, NJ: Lawrence Erlbaum.
  • Depaepe, F., De Corte, E., & Verschaffel, L. (2010). Teachers’ metacognitive and heuristic approaches to word problem solving: Analysis and impact on students’ beliefs and performance. ZDM Mathematics Education, 42, 205–218.
  • Desoete, A., & De Craene, B. (2019). Metacognition and mathematics education: An overview. ZDM Mathematics Education, 51(4), 565–575. https://doi.org/10.1007/S11858-019-01060-W
  • Desoete, A., & Roeyers, H. (2002). Off-line metacognition – A domain-specific retardation in young children with learning disabilities. Learning Disability Quarterly, 25, 123–139.
  • Desoete, A., Roeyers, H., & Buysee, A. (2001). Metacognition and mathematical problem solving in grade 3. Journal of Learning Disabilities, 34(5), 435–449.
  • Desoete, A., Roeyers, H., & De Clercq, A. (2002). EPA2000: Assessing off-line metacognition in mathematical problem solving. Focus on Learning Problems in Mathematics, 24, 53–69.
  • Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. R. Resnick (Ed.), The Nature of Intelligence. Hillsdale, NJ: Lawrence Erlbaum.
  • Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive developmental inquiry. American Psychologist, 34(10), 906–911.
  • Fu, Y., & Qi, C. (2024). The relationship between metacognitive skills and mathematics achievement of Chinese eighth-grade students. Current Psychology. https://doi.org/10.1007/s12144-024-07216-6
  • Gama, C. A. (2004). Integrating Metacognition Instruction in Interactive Learning Environments (Unpublished doctoral dissertation). University of Sussex.
  • García, T., Betts, L. R., González-Castro, P., et al. (2016). On-line assessment of the process involved in maths problem solving in fifth and sixth grade students: Self-regulation and achievement. Revista Latinoamericana de Investigación en Matemática Educativa, 19(1), 165–186. https://doi.org/10.12802/RELIME.13.1922
  • Gartmann, S., & Freiberg, M. R. (1995). Metacognition and mathematical problem solving: Helping students to ask the right questions. The Mathematics Educator, 6(1), 9–13.
  • He, G., Lin, H., & Su, A. (2024). Longitudinal and reciprocal links between metacognition, mathematical modeling competencies, and mathematics achievement in grades 7–8: A cross-lagged panel analysis. Metacognition and Learning, 19, 967–995. https://doi.org/10.1007/s11409-024-09397-8
  • Jagals, D., & van der Walt, M. (2016). Enabling metacognitive skills for mathematics problem solving: A collective case study of metacognitive reflection and awareness. African Journal of Research in Mathematics, Science and Technology Education, 20(2), 154–164. https://doi.org/10.1080/18117295.2016.1192239
  • Karasar, N. (2005). Bilimsel Araştırma Yöntemi (15. Baskı). Ankara: Nobel Yayın Dağıtım.
  • Lucangeli, D., & Cornoldi, C. (1997). Mathematics and metacognition: What is the nature of the relationship? Mathematical Cognition, 3(2), 121–139.
  • Okur, M. (2008). 8. ve 11. sınıf öğrencilerinin problem çözme stratejilerini kullanma düzeyleri [Yayımlanmamış yüksek lisans tezi]. Karadeniz Teknik Üniversitesi.
  • Okur, S. (2008). Students’ strategies, episodes and metacognitions in the context of PISA 2003 mathematical literacy items [Yayımlanmamış yüksek lisans tezi]. Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Ankara.
  • Özkubat, U., & Özmen, E. (2021). Investigation of effects of cognitive strategies and metacognitive functions on mathematical problem-solving performance of students with or without learning disabilities. International Electronic Journal of Elementary Education, 13(3), 339–350. https://doi.org/10.26822/IEJEE.2021.203
  • Öztürk, M., Sarıkaya, İ., & Ada Yıldız, K. (2024). Middle school students’ problem solving performance: Identifying the factors that influence it. International Journal of Science and Mathematics Education, 22, 1363–1379. https://doi.org/10.1007/s10763-023-10423-5
  • Rott, B. (2012). Problem solving processes of fifth graders – An analysis of problem solving types. 12th International Congress on Mathematical Education. COEX, Seoul, Korea.
  • Sawah, K. O., & Kusaka, S. (2025). The effect of metacognitive abilities on junior high school students in the Republic of Vanuatu when solving mathematical word problems. International Journal of Innovative Research and Scientific Studies, 8(1). https://doi.org/10.53894/ijirss.v8i1.4935
  • Schoenfeld, A. (1985). Mathematical Problem Solving. New York: Academic Press.
  • Senemoğlu, N. (2009). Gelişim, Öğrenme ve Öğretim: Kuramdan Uygulamaya (14. Baskı). Ankara: Pegem Akademi.
  • Zan, R. (2000). A metacognitive intervention in mathematics at university level. International Journal of Mathematical Education in Science and Technology, 31(1), 143–150.
  • Zhao, Y., & Saleh, S. (2015). Metacognition and mathematical problem-solving: An empirical investigation into series problems with junior high school students. Mathematics Education Journal, 9(1). https://ejournal.umm.ac.id/index.php/MEJ/article/view/39924

8. Sınıf Öğrencilerinin Problem Çözme Sürecinde Kullandığı Üstbiliş Becerilerin İncelenmesi

Yıl 2026, Cilt: 1 Sayı: 1, 77 - 96, 30.01.2026

Öz

Üstbiliş kavramı öğrencilerin matematik problemleri çözerken nasıl ve ne düşündüğünü ortaya koyması bakımından matematik eğitiminde anahtar kavramlardan biridir. Problem çözme sürecini etkileyen bilişsel bir değişken olan üstbiliş öğrencilerin başarılı problem çözücüler olarak yetiştirilmesi açısından önem kazanmaktadır. Dolayısıyla öğrencilerin problem çözme sürecinde kullandığı üstbilişin belirlenmesi önemlidir. Bu araştırmada 8. sınıf öğrencilerin problem çözme sürecinde kullandığı üstbiliş becerilerin araştırılması amaçlanmıştır. Bu amaç doğrultusunda Trabzon ili Maçka ilçesindeki 5 öğrenci ile problem çözme oturumları düzenlenmiş, gözlem formu ve klinik mülakatlar ile veriler desteklenmiştir. Verilerin analizi sonucunda öğrencilerin tahmin, planlama, izleme ve değerlendirme için kullandıkları üstbiliş stratejilerin problem çözme başarılarını açıklamak için yeterli olmadığı ortaya çıkmıştır. Ayrıca bir davranışın öğrencinin kullanım amacına bağlı olarak hem bilişsel hem de üstbilişsel olduğu ortaya çıkmıştır.

Kaynakça

  • Arslan, Ç., & Altun, M. (2007). Learning to solve non-routine mathematical problems. Elementary Education Online, 6(1), 50–61.
  • Artzt, A. F., & Armour-Thomas, E. (1992). Development of a cognitive metacognitive framework for protocol analysis of mathematical problem solving in small groups. Cognition and Instruction, 9(2), 137–175.
  • Barkatsas, A. N., & Hunting, R. P. (1996). A review of recent research on cognitive, metacognitive and affective aspects of problem solving. Nordic Studies in Mathematics Education, 4(4), 9–30. https://doi.org/10.7146/nomad.v4i4.146434
  • Brown, A. L. (1978). Knowing when, where, and how to remember: A problem of metacognition. In R. Glasser (Ed.), Advances in Instructional Psychology (Vol. 1, pp. 77–165). Hillsdale, NJ: Lawrence Erlbaum.
  • Depaepe, F., De Corte, E., & Verschaffel, L. (2010). Teachers’ metacognitive and heuristic approaches to word problem solving: Analysis and impact on students’ beliefs and performance. ZDM Mathematics Education, 42, 205–218.
  • Desoete, A., & De Craene, B. (2019). Metacognition and mathematics education: An overview. ZDM Mathematics Education, 51(4), 565–575. https://doi.org/10.1007/S11858-019-01060-W
  • Desoete, A., & Roeyers, H. (2002). Off-line metacognition – A domain-specific retardation in young children with learning disabilities. Learning Disability Quarterly, 25, 123–139.
  • Desoete, A., Roeyers, H., & Buysee, A. (2001). Metacognition and mathematical problem solving in grade 3. Journal of Learning Disabilities, 34(5), 435–449.
  • Desoete, A., Roeyers, H., & De Clercq, A. (2002). EPA2000: Assessing off-line metacognition in mathematical problem solving. Focus on Learning Problems in Mathematics, 24, 53–69.
  • Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. R. Resnick (Ed.), The Nature of Intelligence. Hillsdale, NJ: Lawrence Erlbaum.
  • Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive developmental inquiry. American Psychologist, 34(10), 906–911.
  • Fu, Y., & Qi, C. (2024). The relationship between metacognitive skills and mathematics achievement of Chinese eighth-grade students. Current Psychology. https://doi.org/10.1007/s12144-024-07216-6
  • Gama, C. A. (2004). Integrating Metacognition Instruction in Interactive Learning Environments (Unpublished doctoral dissertation). University of Sussex.
  • García, T., Betts, L. R., González-Castro, P., et al. (2016). On-line assessment of the process involved in maths problem solving in fifth and sixth grade students: Self-regulation and achievement. Revista Latinoamericana de Investigación en Matemática Educativa, 19(1), 165–186. https://doi.org/10.12802/RELIME.13.1922
  • Gartmann, S., & Freiberg, M. R. (1995). Metacognition and mathematical problem solving: Helping students to ask the right questions. The Mathematics Educator, 6(1), 9–13.
  • He, G., Lin, H., & Su, A. (2024). Longitudinal and reciprocal links between metacognition, mathematical modeling competencies, and mathematics achievement in grades 7–8: A cross-lagged panel analysis. Metacognition and Learning, 19, 967–995. https://doi.org/10.1007/s11409-024-09397-8
  • Jagals, D., & van der Walt, M. (2016). Enabling metacognitive skills for mathematics problem solving: A collective case study of metacognitive reflection and awareness. African Journal of Research in Mathematics, Science and Technology Education, 20(2), 154–164. https://doi.org/10.1080/18117295.2016.1192239
  • Karasar, N. (2005). Bilimsel Araştırma Yöntemi (15. Baskı). Ankara: Nobel Yayın Dağıtım.
  • Lucangeli, D., & Cornoldi, C. (1997). Mathematics and metacognition: What is the nature of the relationship? Mathematical Cognition, 3(2), 121–139.
  • Okur, M. (2008). 8. ve 11. sınıf öğrencilerinin problem çözme stratejilerini kullanma düzeyleri [Yayımlanmamış yüksek lisans tezi]. Karadeniz Teknik Üniversitesi.
  • Okur, S. (2008). Students’ strategies, episodes and metacognitions in the context of PISA 2003 mathematical literacy items [Yayımlanmamış yüksek lisans tezi]. Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Ankara.
  • Özkubat, U., & Özmen, E. (2021). Investigation of effects of cognitive strategies and metacognitive functions on mathematical problem-solving performance of students with or without learning disabilities. International Electronic Journal of Elementary Education, 13(3), 339–350. https://doi.org/10.26822/IEJEE.2021.203
  • Öztürk, M., Sarıkaya, İ., & Ada Yıldız, K. (2024). Middle school students’ problem solving performance: Identifying the factors that influence it. International Journal of Science and Mathematics Education, 22, 1363–1379. https://doi.org/10.1007/s10763-023-10423-5
  • Rott, B. (2012). Problem solving processes of fifth graders – An analysis of problem solving types. 12th International Congress on Mathematical Education. COEX, Seoul, Korea.
  • Sawah, K. O., & Kusaka, S. (2025). The effect of metacognitive abilities on junior high school students in the Republic of Vanuatu when solving mathematical word problems. International Journal of Innovative Research and Scientific Studies, 8(1). https://doi.org/10.53894/ijirss.v8i1.4935
  • Schoenfeld, A. (1985). Mathematical Problem Solving. New York: Academic Press.
  • Senemoğlu, N. (2009). Gelişim, Öğrenme ve Öğretim: Kuramdan Uygulamaya (14. Baskı). Ankara: Pegem Akademi.
  • Zan, R. (2000). A metacognitive intervention in mathematics at university level. International Journal of Mathematical Education in Science and Technology, 31(1), 143–150.
  • Zhao, Y., & Saleh, S. (2015). Metacognition and mathematical problem-solving: An empirical investigation into series problems with junior high school students. Mathematics Education Journal, 9(1). https://ejournal.umm.ac.id/index.php/MEJ/article/view/39924
Toplam 29 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Matematik Eğitimi
Bölüm Araştırma Makalesi
Yazarlar

Leyla Aydurmuş 0000-0001-5188-6225

Derya Çelik 0000-0003-2043-4431

Gönderilme Tarihi 4 Aralık 2025
Kabul Tarihi 27 Ocak 2026
Yayımlanma Tarihi 30 Ocak 2026
Yayımlandığı Sayı Yıl 2026 Cilt: 1 Sayı: 1

Kaynak Göster

APA Aydurmuş, L., & Çelik, D. (2026). 8. Sınıf Öğrencilerinin Problem Çözme Sürecinde Kullandığı Üstbiliş Becerilerin İncelenmesi. İstanbul 29 Mayıs Üniversitesi Eğitim Fakültesi Dergisi, 1(1), 77-96.