Cognitive, Metacognitive, and Personality Manifestations of Gifted Pupils in Solving Word Problems

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Keywords

giftedness, word problem, cognitive abilities, metacognitive abilities, self-concept

How to Cite

Jůzová, K. (2025). Cognitive, Metacognitive, and Personality Manifestations of Gifted Pupils in Solving Word Problems. Scientia in Educatione, 16(1), 18–34. https://doi.org/10.14712/18047106.4723

Abstract

This study focuses on the cognitive, metacognitive and personality manifestations of gifted first graders during word problem solving. A series of meetings with a group of gifted pupils aged 6–7 years (n = 6) were arranged, during which the pupils solved and commented on the solved word problems in a group discussion setting. The problems were selected and pre-tested to ensure clarity and appropriate difficulty. At the same time, they were selected with the aim of containing complicating elements, such as irrelevant information or unknown contexts. The methodology combined problem-solving interviews, group discussions and semi-structured group interviews. In terms of cognitive skills, pupils showed good memory and abstract reasoning skills. Pupils also demonstrated early metacognitive awareness and the ability to use advanced mathematical apparatus. Personality manifestations such as mindset and self efficacy were also observed. Manifestations of fixed and growth mindset and positive and negative self-efficacy were found. The findings suggest that word problems, when used in a structured and reflective environment, can serve as an effective tool for identifying and understanding the thought processes of gifted learners.

https://doi.org/10.14712/18047106.4723

References

Albabbasi, A. M. A., Sultan, Z. M., Karwowski, M., Cross, T. L., & Ayoub, A. E. A. (2023). Self-efficacy in gifted and non-gifted students: A multilevel meta-analysis. Personality and Individual Differences, 210, 112244. https://doi.org/10.1016/j.paid.2023.112244

Alexander, J. M., Carr, M., & Schwanenflugel, P. J. (1995). Development of metacognition in gifted children: Directions for future research. Developmental Review, 15(1), 1–37.

Allon, M., Gutkin, T. B., & Bruning, R. (1994). The relationship between metacognition and intelligence in normal adolescents: Some tentative but surprising findings. Psychology in the Schools, 31(2), 93–97.

Alloway, T. P. (2011). Improving working memory: Supporting students’ learning. Sage.

Anderson, N. J. (2008). Metacognition and good language learners. In C. Griffiths (Ed.), Lessons from good language learners (pp. 99–109). Cambridge University Press. https://doi.org/10.1017/CBO9780511497667.010

Assmus, D., & Fritzlar, T. (2018). Mathematical giftedness and creativity in primary grades. In F. Singer (Ed.), Mathematical creativity and mathematical giftedness (pp. 55–81). ICME-13 Monographs. Springer. https://doi.org/10.1007/978-3-319-73156-8_3

Bandura, A. (1994). Self-efficacy. In V. S. Ramachandran (Ed.), Encyclopedia of human behavior (Vol. 4). Academic Press.

Berk, L. E. (2003). Child development (6th Ed.). Allyn and Bacon.

Boaler, J. (2016). Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teaching. Jossey-Bass/Wiley.

Bong, M., & Skaalvik, E. M. (2003). Academic self-concept and self-efficacy: How different are they really? Educational Psychology Review, 15(1), 1– 40. https://doi.org/10.1023/A:1021302408382

Bransford, J. D., Brown, A. L., & Cocking, R. R. (2000). How people learn: Brain, mind, experience, and school. National Academy Press.

Brown, A. (1987). Metacognition, executive control, self-regulation, and other more mysterious mechanisms. In F. E. Weinert & R. H. Kluwe (Eds.), Metacognition, motivation, and understanding (pp. 65–116). Erlbaum.

Carter, K. R. (1985). Cognitive development of intellectually gifted: A Piagetian perspective. Roeper Review: A Journal on Gifted Education, 7(3), 180–184. https://doi.org/10.1080/02783198509552889

Clark, B. (2002). Growing up gifted: Developing the potential of children at home and at school (6th Ed.). Prentice Hall.

Cohen, L. M., & Kim, Y. M. (1999). Piaget’s equilibration theory and the young gifted child: A balancing act. Roeper Review, 21(3), 201–206. https://doi.org/10.1080/02783199909553962

Dweck, C. S. (2017). Nastavení mysli: Nová psychologie úspěchu, aneb, naučte se využít svůj potenciál [Mindset: The New Psychology of Success, or, how we can learn to lulfill our potential]. Jan Melvil Publishing.

Eisenmann, P., Přibyl, J., Novotná, J., Břehovský, J., & Cihlář, J. (2017). Volba řešitelských strategií v závislosti na věku [Choice of solving strategies depending on age]. Scientia in educatione, 8(2), 21–38. https://doi.org/10.14712/18047106.432

Esparza, J., Shumow, L., & Schmidt, J. A. (2014). Growth mindset of gifted seventh grade students in science. NCSSSMST Journal, 19, 6–13.

Favier, S., & Dorier, J. L. (2024). Heuristics and semantic spaces for the analysis of students’ work in mathematical problem solving. Educational Studies in Mathematics, 115, 407–431. https://doi.org/10.1007/s10649-023-10297-y

Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive–developmental inquiry. American Psychologist, 34(10), 906. https://doi.org/10.1037/0003-066X.34.10.906

Gardner, H. (1993). Multiple intelligences: The theory in practice. Basic Books/Hachette Book Group.

Güner, P., & Erbay, H. N. (2021). Metacognitive skills and problem-solving. International Journal of Research in Education and Science (IJRES), 7(3), 715–734. https://doi.org/10.46328/ijres.1594

Hartl, P., & Hartlová, H. (2000). Psychologický slovník [Psychological dictionary]. Portál.

Haury, D. (1999). Mathematics education for gifted and talented children. The ERIC Review, 62, 48–50.

Havlíčková, R., Mottlová, K., & Eliášková, K. (2023). Podpora integrace matematické, čtenářské a jazykové gramotnosti u žáků základních škol prostřednictvím řešení slovních úloh: Neposedové [Promoting the integration of mathematical, reading and language literacy in primary school pupils through word problem solving]. Příloha k metodice. Univerzita Karlova, Pedagogická fakulta.

Hejný, M., & Kuřina, F. (2001). Dítě, škola a matematika [Child, school and mathematics]. Portál.

Hembree, R. (1992). Experiments and relational studies in problem solving: A meta-analysis. Journal for Research in Mathematics Education, 23(3), 242–273. http://doi.org/10.2307/749120

Hendl, J. (2023). Kvalitativní výzkum: základní teorie, metody a aplikace [Qualitative research: basic theory, methods and applications]. Portál.

Hrbáčková, K. (2009). Autoregulace procesu čtenářského rozvoje žáků na 1. stupni základní školy [Self-regulation of the process of pupils' reading development at primary school]. Pedagogická orientace, 19(4), 74–91.

Hříbková, L. (1994). Výchova a vzdělávání nadaných dětí – okrajový problém [Education of gifted children - a marginal problem]. Pedagogika, 3, 246–252.

Kaur, B., & Yeap, B. H. (2009). Pathways to reasoning and communication in the primary school mathematics classroom. National Institute of Education.

Kong, Y., & Zhu, H. (2005). A decade comparison: Self-concept of gifted and non-gifted adolescents. International Education Journal, 6(2), 224–231.

Krutetskii, V. A. (1976). The psychology of mathematical abilities in school children. University of Chicago Press.

Krykorková, H., & Chvál, M. (2001). Rozvoj metakognice – cesta k hodnotnějšímu poznání [Developing metacognition - the path to more valuable knowledge]. Pedagogika. 51(2), 185–196.

Larkin, S. (2000). How can we discern metacognition in year one children from interactions between students and teacher. Paper Presented at ESRC Teaching and Learning Research Programme Conference, Leicester, UK.

Laznibatová, J. (2003). Nadané dieťa – jeho vývin, vzdelávanie a podporovanie [The gifted child - its development, education and support]. IRIS.

Lokajíčková, V. (2014). Metakognice – vymezení pojmu a jeho uchopení v kontextu výuky [Metacognition - definition of the term and its grasp in the context of teaching]. Pedagogika, 64(3), 287–306.

Machů, E. (2010). Nadaný žák [Gifted pupil]. Paido.

Maher, C. A., & Sigley, R. (2014). Task-based interviews in mathematics education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 579–582). Springer. https://doi.org/10.1007/978-94-007-4978-8_147

Marsh, H. W., & Parker, J. (1984). Determinants of student self-concept: Is it better to be a relatively large fish in a small pond even if you don't learn to swim as well? Journal of Personality and Social Psychology, 47, 213–231.

Miller, R. C. (1990). Discovering mathematical talent. ERIC Digest # E482.

Moon, S. M. (2009). Myth 15: High-ability students don’t face problems and challenges. Gifted Child Quarterly, 53(4), 274–276. https://doi.org/10.1177/0016986209346943

Perry, N. E., & Drummond, L. (2002). Helping young students become self-regulate researchers and writers. The Reading Teacher, 56(3), 298–310.

Piaget, J. (1952). The origins of intelligence in children. (M. Cook, Trans.). W. W. Norton & Co. https://doi.org/10.1037/11494-000

Portešová, Š. (2020). Metakognitivní dovednosti, jejich konceptualizace a vývoj u populace intelektově nadaných dětí [Metacognitive skills, their conceptualization and development in a population of intellectually gifted children]. Svět nadání, Časopis o nadání a nadaných, 9(2), 20–30.

Portešová, Š. (2021, 27. února). Nadané dítě v útlém věku [Gifted child at an early age]. Nadané děti. https://www.nadanedeti.cz/odborne-zdroje-clanky-utly-vek

Prior, M. T. (2018). Interviews and focus groups. In A. Phakiti, P. De Costa, L. Plonsky & S. Starfield (Eds.), The Palgrave handbook of applied linguistics research methodology (pp. 225–248). Palgrave Macmillan.

Renzulli, J. S. (2005). The three-ring conception of giftedness: A developmental model for promoting creative productivity. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (2nd ed., pp. 246–279). Cambridge University Press. https://doi.org/10.1017/CBO9780511610455.015

Reusser, K. (1985). From situation to equation. On formulation, understanding and solving situation problems. Technical Report No. 143, University of Colorado at Boulder: Institute of Cognitive Science.

Říčan, J. (2017). Rozvoj metakognitivních znalostí: pedagogicko-psychologický vhled [Developing metacognitive knowledge: a pedagogical-psychological insight]. Gramotnost, pregramotnost a vzdělávání, 1(2), 7–22.

Roeper, A. (1978). Toys from the attic: Some thoughts about Piaget and the young gifted child. The Roeper School Quarterly, 1(2), 251–257.

Schofield, L. (2012). Why didn’t I think of that? Teachers’ influence on students’ metacognitive knowledge of how to help students acquire metacognitive abilities. Kairaranga, 13(1), 56–62.

Sheffield, L. J. (1994). The development of gifted and talented mathematics students and the National Council of Teachers of Mathematics standards (Report No. RBDM 9404). National Research Center on the Gifted and Talented, University of Connecticut.

Siegle, D., & Langley, S. D. (2016). Promoting optimal mindsets among gifted children. In M. Neihart, S. I. Pfeiffer, & T. L. Cross (Eds.), The social and emotional development of gifted children: What do we know? (2nd ed., pp. 269–281). Prufrock Press Inc.

Smetáčková, I., & Vozková, A. (2016). Matematická self-efficacy a její měření v průběhu základní školy [Mathematical self-efficacy and its measurement during primary school]. E-psychologie: Elektronický časopis ČMPS, 10(1), 18–33.

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

Sternberg, R. J. (1998). Abilities are forms of developing expertise. Educational Researcher, 27(3), 11–20.

Sternberg, R. J. (2001). Giftedness as developing expertise: A theory of the interface between high abilities and achieved excellence. High Ability Studies, 12, 159–179.

Straka, O. (2021). Jak měřit metakognici (nejen) u nadaných dětí [How to measure metacognition (not only) in gifted children]. Masarykova univerzita.

Strauss, A. L., & Corbin, J. (1999). Základy kvalitativního výzkumu: Postupy a techniky metody zakotvené teorie [Basics of qualitative research: Procedures and techniques of grounded theory method]. SCAN. Sdružení Podané ruce.

Sutherland, M. (2008). Developing the gifted and talented young learner. Sage Publication.

Terman, L. M., & Oden, M. H. (1959). Genetic studies of genius. The gifted group at mid-life. Volume 5. Stanford Univer. Press.

Urban, K. K. (1990). Besonders begabte Kindern im Vorschulalter. HVAI Schindele.

Van Tassel-Baska, J. (1983). Profiles of precocity: The 1982 Midwest Talent Search finalists. Gifted Child Quarterly, 27(3), 139–144. https://doi.org/10.1177/001698628302700308

Veenman, M. V. J., Kok, R., & Blöte, A. W. (2005). The relation between intellectual and metacognitive skills at the onset of metacognitive skill development. Instructional Science, 33, 193–211. https://doi.org/10.1007/s11251-004-2274-8

Veenman, M. V. J. (2008). Giftedness: Predicting the speed of expertise acquisition by intellectual ability and metacognitive skillfulness of novices. In M. F. Shaughnessy, M. V. J. Veenman, & C. Kleyn-Kennedy (Eds.), Meta-cognition: A recent review of research, theory, and perspectives (pp. 207–220). Nova Science Publishers.

Verschaffel, L., Depaepe, F., & Van Dooren, W. (2020). Word problems in mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 908–911). Springer.

Vondrová, N., Havlíčková, R., Hirschová, M., Chvál, M., Novotná, J., Páchová, A., Smetáčková, I., Smejkalová, M., & Tůmová, V. (2019). Matematická slovní úloha: Mezi matematikou, jazykem a psychologií [Mathematical word problem: Between mathematics, language and psychology]. Karolinum.

Vondrová, N. (2020). The effect of an irrelevant number and language consistency in a word problem on pupils’ achievement and reasoning. International Journal of Mathematical Education in Science and Technology, 53(4), 807–826. https://doi.org/10.1080/0020739X.2020.1782497

Vondrová, N., Šmejkalová, M., & Smetáčková, I. (2022). Zadání slovních úloh jako podklad pro rozvoj čtení s porozuměním a dovednosti slovní úlohy řešit [Word problems as a basis for developing reading comprehension and word problem solving skills]. Pedagogika, 72(1), 3–24. https://doi.org/10.14712/23362189.2021.1945

Winebrennen, S. (2001). Teaching gifted kids in the regular classroom. Free Spirit Publishing.

Yulianto, F. W. (2020). Students' metacognitive skills in solving word problems. Journal of Physics: Conference Series, 1470, 012090. https://doi.org/10.1088/1742-6596/1470/1/012090

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