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Year 2025, Volume: 12 Issue: 1, 128 - 140, 30.06.2025
https://doi.org/10.5281/zenodo.15752954

Abstract

References

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  • Assmus, D., & Fritzlar, T. (2022). Mathematical creativity and mathematical giftedness in primary school age-An interview study on creating figural patterns. ZDM-Mathematics Education, 54, 113–131. https://doi.org/10.1007/s11858-022-01328-8
  • Barfurth, M. A., Ritchie, K. C., Irving, J. A., & Shore, B. M. (2009). A metacognitive portrait of gifted learners. In L. V. Shavinina (Ed.), The international handbook on giftedness (pp. 397-417). Springer. https://doi.org/10.1007/978-1- 4020-6162-2
  • Boran, M., & Karakuş, F. (2022). The mediator role of critical thinking disposition in the relationship between perceived problem-solving skills and metacognitive awareness of gifted and talented students. Participatory Educational Research, 9(1), 61-72. http://dx.doi.org/10.17275/per.22.4.9.1
  • Bryce, D., & Whitebread, D. (2012). The development of metacognitive skills: Evidence from observational analysis of young children’s behavior during problem-solving. Metacognition and Learning, 7(3), 197–217. https://doi.org/10.1007/s11409-012-9091-2
  • Chen, S., & McDunn, B. A. (2022). Metacognition: History, measurements, and the role in early childhood development and education. Learning and Motivation, 78, 101786. https://doi.org/10. 1016/j.lmot.2022.101786
  • Cheng, P. W. (1993). Metacognition and giftedness: The state of the relationship. Gifted Child Quarterly, 37(3), 105–109. https://doi.org/10.1177/001698629303700302
  • Desoete, A., Baten, E., Vercaemst, V., De Busschere, A., Baudonck, M., & Vanhaeke, J. (2019). Metacognition and motivation as predictors for mathematics performance of Belgian elementary school children. ZDM – Mathematics Education, 51(4), 667–677. https://doi.org/10.1007/s11858-018-01020-w
  • 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. (2006). Metacognitive macroevaluations in mathematical problem solving. Learning and Instruction, 16(1), 12–25. https://doi.org/10.1016/j.learninstruc.2005.12.003.
  • Dover, A., & Shore, B. M. (1991). Giftedness and flexibility on a mathematical set breaking task. Gifted Child Quarterly, 35(2), 99–105. https://doi.org/10.1177/001698629103500209
  • Efklides, A. (2006). Metacognition and affect: What can metacognitive experiences tell us about the learning process? Educational Research Review, 1, 3–14. https://doi.org/10.1016/j.edurev.2005.11.001
  • Erdoğan, F., & Gül, N. (2023). Gifted Students’ repeating patterning skills and cognitive demand levels. Kocaeli University Journal of Education, 6(1), 70-95. http://doi.org/10.33400/kuje.1221801
  • Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive–developmental inquiry. American Psychologist, 34(10), 906-911. https://doi.org/10.1037/0003-066 X.34.10.906
  • Fu, Y., & Qi, C. (2025). The relationship between metacognitive skills and mathematics achievement of Chinese eighth-grade students. Current Psychology, 44, 3845-3856. https://doi.org/10.1007/s12144-024-07216-6
  • Geng, X., & Su, Y. S. (2025). The effects of different metacognitive patterns on students’ self-regulated learning in blended learning. Computers & Education, 227, 105211. https://doi.org/10.1016/j.compedu.2024.105211
  • Hammod, H. S., & Paz-Baruch, N. (2024). Self-regulated learning while solving mathematical problems among mathematically gifted and talented students. High Ability Studies, 35(2), 201–229. https://doi.org/10.1080/13598139.2024.2374715
  • 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, 967-005. https://doi.org/10.1007/s11409-024-09397-8
  • Keleş, T., & Yazgan, Y. (2022). Indicators of gifted students’ strategic flexibility in non- routine problem solving. International Journal of Mathematical Education in Science and Technology, 53(10), 2797–2818. https://doi.org/10.1080/0020739X.2022.2105760
  • Knox, H. (2017). Using writing strategies in math to ıncrease metacognitive skills for the gifted learner. Gifted Child Today, 40(1), 43-47. https://doi.org/10.1177/1076217516675904
  • Kontostavlou, E. Z., & Drigas, A. (2021). How metacognition supports giftedness in leadership: A review of contemporary literature. International Journal of Advanced Corporate Learning, 14(2), 4–16. https://doi.org/10.3991/ijac.v14i2.23237
  • Krutetskii, V. A. (1976). The psychology of mathematical abilities in school children. University of Chicago Press.
  • Leikin R. (2018). Giftedness and high ability in mathematics. S. Lerman (Ed.) içinde, Encyclopedia of mathematics education (ss. 315-325). Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_65
  • Leikin, R. (2021). When practice needs more research: The nature and nurture of mathematical giftedness. ZDM- Mathematics Education, 53, 1579–1589. https://doi.org/10.1007/s11858-021-01276-9
  • Marulis, L. M. (2025). Editorial: Advances in metacognition and reflection. Frontiers in Developmental Psychology, 3, 1579553. https://doi.org/10.3389/fdpys.2025.1579553
  • Moustakas, D., & Gonida, E. (2023). Motivational profiles of high achievers in mathematics: relations with metacognitive processes and achievement emotions. Education Sciences, 13(10), 1–21. https://doi.org/10.3390/educsci13100970
  • Muncer, G., Higham, P. A., Gosling, C. J., Cortese, S., Wood-Downie, H., & Hadwin, J. A. (2022). A meta-analysis investigating the association between metacognition and math performance in adolescence. Educational Psychology Review, 34(1), 301–334. https://doi.org/10.1007/s10648-021-09620-x
  • Nelson, T. O., & Narens, L. (1994). Why investigate metacognition. In J. Metcalfe, & A. P. Shimamura (Eds.), Metacognition: Knowing about knowing (pp. 1–25). The MIT Press.
  • Nolte M., & Pamperien K. (2017). Challenging problems in a regular classroom setting and in a special foster programme. ZDM Mathematics Education, 49, 121-126. https://doi.org/10.1007/s11858-016-0825-5
  • Oppong, E., Shore, B. M., & Muis, K. R. (2019). Clarifying the connections among giftedness, metacognition, self- regulation, and self-regulated learning: Implications for theory and practice. The Gifted Child Quarterly, 63(2), 102–119. https://doi.org/10.1177/0016986218814008
  • Özsoy, G. (2011). An investigation of the relationship between meta¬cognition and mathematics achievement. Asia Pacific Education Review, 12, 227–235. https://doi.org/10.10 07/s12564-010-9129-6
  • Öztürk, M., Akkan, Y., & Kaplan, A. (2018). The metacognitive skills performed by 6th-8th grade gifted students during the problem-solving process: Gümüşhane sample. Ege Journal of Education, 19(2), 446-469. https://doi.org/10.12984/egeefd.316662
  • Paz-Baruch, N., Leikin, M., & Leikin, R. (2022). Not any gifted is an expert in mathematics and not any expert in mathematics is gifted. Gifted and Talented International, 37(1), 25-41. https://doi.org/10.1080/15332276.2021.2010244
  • Pitta-Pantazi, D. (2017). What have we learned about giftedness and creativity? An overview of a five years journey. In Leikin, R., & Sriraman, B. (Eds.), Creativity and giftedness. advances in mathematics education (pp. 201-223). Springer, Cham. https://doi.org/10.1007/978-3-319-38840-3_13
  • Renzulli, J. S. (2003). Conception of giftedness and ıts relationship to the development of social capital. In N. Colangelo & G. A. Davis (Eds.), Handbook of gifted education (pp. 75-87). Allyn and Bacon, Inc.
  • Renzulli, J. S. (2005). The three-ring conception of giftedness: A developmental model for creative productivity. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (pp. 246-275). Cambridge University Press.
  • Schoenfeld, A. H. (1985). Making sense of “out loud” problem solving protocols. Journal of Mathematical Behavior, 4, 171–191.
  • Schraw, G. (1997). Helping gifted students develop metacognitive awareness. Roeper Review, 20(1), 4–8. https://doi.org/10.1080/02783199709553842
  • Schraw, G., Crippen, K. J., & Hartley, K. (2006). Promoting self-regulation in science education: Metacognition as part of a broader perspective on learning. Research in Science Education, 36(1–2), 111–139. https://doi.org/10.1007/s11165-005-3917-8
  • Schraw, G. & Moshman, D. (1995). Metacognitive theories. Educational Psychology Review, 7(4), 351–371.
  • Sheppard, S., & Kanevsky, L. S. (1998). Nurturing gifted students’ metacognitive awareness: Effects of training in homogeneous and heterogeneous classes. Roeper Review, 21(4), 266–272. https://doi.org/10.1080/02783199909553974
  • Smedsrud, J. H., Nordahl-Hansen, A., & Idsøe, E. (2022). Mathematically gifted students’ experience with their teachers’ mathematical competence and boredom in school: a qualitative interview study. Frontiers in Psychology, 13, 876350. https://doi.org/10.3389/fpsyg.2022.876350
  • Sternberg, R. J., Chowkase, A., Desmet, O., Karami, S., Landy, J., & Lu, J. (2021). Beyond transformational giftedness. Education Sciences, 11(5), 192. https://doi.org/10.3390/educsci11050192
  • Sternberg, R. J., & Davidson, J. E. (Eds.). (1986). Conceptions of giftedness. Cambridge University Press.
  • Snyder, K. E., Nietfeld, J. L., & Linnenbrink-Garcia, L. (2011). Giftedness and metacognition: A short-term longitudinal investigation of metacognitive monitoring in the classroom. Gifted Child Quarterly, 55(3), 181–193. https://doi.org/10.1177/0016986211412769
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Unlocking the power of metacognition in mathematically gifted minds

Year 2025, Volume: 12 Issue: 1, 128 - 140, 30.06.2025
https://doi.org/10.5281/zenodo.15752954

Abstract

The aim of this study is to critically examine the importance of metacognitive skills in the problem-solving processes of mathematically gifted students and to evaluate the relevant literature. The study explores how these students utilize skills such as planning, monitoring, and evaluation, as well as the relationship of these skills to academic achievement and their contribution to the learning process. Furthermore, these competencies are considered from cognitive, psychological, and pedagogical perspectives. Research has shown that mathematically gifted students are able to use metacognitive processes such as planning, monitoring, and evaluation more effectively and flexibly. These students not only reach correct solutions but also demonstrate a high level of awareness regarding the problem-solving process, enabling them to restructure their strategies when necessary. Therefore, mathematically gifted students distinguish themselves from their peers not only through their numerical abilities but also through their advanced metacognitive capacities. However, it has also been noted that heightened metacognitive awareness may occasionally lead to challenges such as over-analysis, perfectionism, or emotional sensitivity. Hence, in supporting gifted students, it is essential to consider their emotional and psychological development alongside their cognitive growth. In conclusion, for mathematically gifted students to fully realize their potential, it is essential to support not only their high-level cognitive abilities but also their metacognitive strategies in a holistic manner. Such support not only enhances academic achievement but also strengthens long-term learning habits, self-efficacy, and motivation for problem-solving. Structuring educational environments in ways that encourage the development of these skills will contribute to the formation of more productive and well-balanced individuals within this student group.

Ethical Statement

Research and publication ethics were followed. Due to the scope and method of the study, ethics committee permission was not required.

References

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  • Assmus, D., & Fritzlar, T. (2022). Mathematical creativity and mathematical giftedness in primary school age-An interview study on creating figural patterns. ZDM-Mathematics Education, 54, 113–131. https://doi.org/10.1007/s11858-022-01328-8
  • Barfurth, M. A., Ritchie, K. C., Irving, J. A., & Shore, B. M. (2009). A metacognitive portrait of gifted learners. In L. V. Shavinina (Ed.), The international handbook on giftedness (pp. 397-417). Springer. https://doi.org/10.1007/978-1- 4020-6162-2
  • Boran, M., & Karakuş, F. (2022). The mediator role of critical thinking disposition in the relationship between perceived problem-solving skills and metacognitive awareness of gifted and talented students. Participatory Educational Research, 9(1), 61-72. http://dx.doi.org/10.17275/per.22.4.9.1
  • Bryce, D., & Whitebread, D. (2012). The development of metacognitive skills: Evidence from observational analysis of young children’s behavior during problem-solving. Metacognition and Learning, 7(3), 197–217. https://doi.org/10.1007/s11409-012-9091-2
  • Chen, S., & McDunn, B. A. (2022). Metacognition: History, measurements, and the role in early childhood development and education. Learning and Motivation, 78, 101786. https://doi.org/10. 1016/j.lmot.2022.101786
  • Cheng, P. W. (1993). Metacognition and giftedness: The state of the relationship. Gifted Child Quarterly, 37(3), 105–109. https://doi.org/10.1177/001698629303700302
  • Desoete, A., Baten, E., Vercaemst, V., De Busschere, A., Baudonck, M., & Vanhaeke, J. (2019). Metacognition and motivation as predictors for mathematics performance of Belgian elementary school children. ZDM – Mathematics Education, 51(4), 667–677. https://doi.org/10.1007/s11858-018-01020-w
  • 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. (2006). Metacognitive macroevaluations in mathematical problem solving. Learning and Instruction, 16(1), 12–25. https://doi.org/10.1016/j.learninstruc.2005.12.003.
  • Dover, A., & Shore, B. M. (1991). Giftedness and flexibility on a mathematical set breaking task. Gifted Child Quarterly, 35(2), 99–105. https://doi.org/10.1177/001698629103500209
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  • Erdoğan, F., & Gül, N. (2023). Gifted Students’ repeating patterning skills and cognitive demand levels. Kocaeli University Journal of Education, 6(1), 70-95. http://doi.org/10.33400/kuje.1221801
  • Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive–developmental inquiry. American Psychologist, 34(10), 906-911. https://doi.org/10.1037/0003-066 X.34.10.906
  • Fu, Y., & Qi, C. (2025). The relationship between metacognitive skills and mathematics achievement of Chinese eighth-grade students. Current Psychology, 44, 3845-3856. https://doi.org/10.1007/s12144-024-07216-6
  • Geng, X., & Su, Y. S. (2025). The effects of different metacognitive patterns on students’ self-regulated learning in blended learning. Computers & Education, 227, 105211. https://doi.org/10.1016/j.compedu.2024.105211
  • Hammod, H. S., & Paz-Baruch, N. (2024). Self-regulated learning while solving mathematical problems among mathematically gifted and talented students. High Ability Studies, 35(2), 201–229. https://doi.org/10.1080/13598139.2024.2374715
  • 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, 967-005. https://doi.org/10.1007/s11409-024-09397-8
  • Keleş, T., & Yazgan, Y. (2022). Indicators of gifted students’ strategic flexibility in non- routine problem solving. International Journal of Mathematical Education in Science and Technology, 53(10), 2797–2818. https://doi.org/10.1080/0020739X.2022.2105760
  • Knox, H. (2017). Using writing strategies in math to ıncrease metacognitive skills for the gifted learner. Gifted Child Today, 40(1), 43-47. https://doi.org/10.1177/1076217516675904
  • Kontostavlou, E. Z., & Drigas, A. (2021). How metacognition supports giftedness in leadership: A review of contemporary literature. International Journal of Advanced Corporate Learning, 14(2), 4–16. https://doi.org/10.3991/ijac.v14i2.23237
  • Krutetskii, V. A. (1976). The psychology of mathematical abilities in school children. University of Chicago Press.
  • Leikin R. (2018). Giftedness and high ability in mathematics. S. Lerman (Ed.) içinde, Encyclopedia of mathematics education (ss. 315-325). Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_65
  • Leikin, R. (2021). When practice needs more research: The nature and nurture of mathematical giftedness. ZDM- Mathematics Education, 53, 1579–1589. https://doi.org/10.1007/s11858-021-01276-9
  • Marulis, L. M. (2025). Editorial: Advances in metacognition and reflection. Frontiers in Developmental Psychology, 3, 1579553. https://doi.org/10.3389/fdpys.2025.1579553
  • Moustakas, D., & Gonida, E. (2023). Motivational profiles of high achievers in mathematics: relations with metacognitive processes and achievement emotions. Education Sciences, 13(10), 1–21. https://doi.org/10.3390/educsci13100970
  • Muncer, G., Higham, P. A., Gosling, C. J., Cortese, S., Wood-Downie, H., & Hadwin, J. A. (2022). A meta-analysis investigating the association between metacognition and math performance in adolescence. Educational Psychology Review, 34(1), 301–334. https://doi.org/10.1007/s10648-021-09620-x
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  • Nolte M., & Pamperien K. (2017). Challenging problems in a regular classroom setting and in a special foster programme. ZDM Mathematics Education, 49, 121-126. https://doi.org/10.1007/s11858-016-0825-5
  • Oppong, E., Shore, B. M., & Muis, K. R. (2019). Clarifying the connections among giftedness, metacognition, self- regulation, and self-regulated learning: Implications for theory and practice. The Gifted Child Quarterly, 63(2), 102–119. https://doi.org/10.1177/0016986218814008
  • Özsoy, G. (2011). An investigation of the relationship between meta¬cognition and mathematics achievement. Asia Pacific Education Review, 12, 227–235. https://doi.org/10.10 07/s12564-010-9129-6
  • Öztürk, M., Akkan, Y., & Kaplan, A. (2018). The metacognitive skills performed by 6th-8th grade gifted students during the problem-solving process: Gümüşhane sample. Ege Journal of Education, 19(2), 446-469. https://doi.org/10.12984/egeefd.316662
  • Paz-Baruch, N., Leikin, M., & Leikin, R. (2022). Not any gifted is an expert in mathematics and not any expert in mathematics is gifted. Gifted and Talented International, 37(1), 25-41. https://doi.org/10.1080/15332276.2021.2010244
  • Pitta-Pantazi, D. (2017). What have we learned about giftedness and creativity? An overview of a five years journey. In Leikin, R., & Sriraman, B. (Eds.), Creativity and giftedness. advances in mathematics education (pp. 201-223). Springer, Cham. https://doi.org/10.1007/978-3-319-38840-3_13
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  • Renzulli, J. S. (2005). The three-ring conception of giftedness: A developmental model for creative productivity. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (pp. 246-275). Cambridge University Press.
  • Schoenfeld, A. H. (1985). Making sense of “out loud” problem solving protocols. Journal of Mathematical Behavior, 4, 171–191.
  • Schraw, G. (1997). Helping gifted students develop metacognitive awareness. Roeper Review, 20(1), 4–8. https://doi.org/10.1080/02783199709553842
  • Schraw, G., Crippen, K. J., & Hartley, K. (2006). Promoting self-regulation in science education: Metacognition as part of a broader perspective on learning. Research in Science Education, 36(1–2), 111–139. https://doi.org/10.1007/s11165-005-3917-8
  • Schraw, G. & Moshman, D. (1995). Metacognitive theories. Educational Psychology Review, 7(4), 351–371.
  • Sheppard, S., & Kanevsky, L. S. (1998). Nurturing gifted students’ metacognitive awareness: Effects of training in homogeneous and heterogeneous classes. Roeper Review, 21(4), 266–272. https://doi.org/10.1080/02783199909553974
  • Smedsrud, J. H., Nordahl-Hansen, A., & Idsøe, E. (2022). Mathematically gifted students’ experience with their teachers’ mathematical competence and boredom in school: a qualitative interview study. Frontiers in Psychology, 13, 876350. https://doi.org/10.3389/fpsyg.2022.876350
  • Sternberg, R. J., Chowkase, A., Desmet, O., Karami, S., Landy, J., & Lu, J. (2021). Beyond transformational giftedness. Education Sciences, 11(5), 192. https://doi.org/10.3390/educsci11050192
  • Sternberg, R. J., & Davidson, J. E. (Eds.). (1986). Conceptions of giftedness. Cambridge University Press.
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There are 64 citations in total.

Details

Primary Language English
Subjects Special Talented Education
Journal Section Review
Authors

Fatma Erdoğan 0000-0002-4498-8634

Submission Date May 7, 2025
Acceptance Date June 25, 2025
Early Pub Date June 25, 2025
Publication Date June 30, 2025
Published in Issue Year 2025 Volume: 12 Issue: 1

Cite

APA Erdoğan, F. (2025). Unlocking the power of metacognition in mathematically gifted minds. Journal of Gifted Education and Creativity, 12(1), 128-140. https://doi.org/10.5281/zenodo.15752954

JGEDC is one of approximately ten academic journals in the world that publish in the field of gifted education, and its editorial board includes some of the most prominent scholars in this field.