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An Examination of Gifted Students’ Mathematical Reasoning Approaches

Sayı: 66 29 Aralık 2025
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An Examination of Gifted Students’ Mathematical Reasoning Approaches

Öz

Special talent is not a feature that is constantly present in the individual and can always appear, on the contrary, it is a sensitive value that requires a special effort to reveal and develop. For this reason, it is critical to provide appropriate educational support for this special potential to evolve into a tremendous talent and outcome. Students with special abilities in mathematics, who spend most of their educational time in the same environment with their peers, with applications for the same educational content, face limitations in assessing their higher-order thinking and reasoning skills. The reasoning processes of gifted students in mathematics is a complete mystery, some important and common features of these students are mentioned by researchers in the literature. Based on these findings, the aim of the study is to examine the mathematical reasoning approaches of gifted students. The research was designed with the action research method. The sample of the study consists of 18 seventh grade students studying in the Special Talents Development Program. The duration of the implementation is ten weeks. Data collection tools are solution sheets of the reasoning activities, clinical interviews, researcher log and audio recording of the implementation. With its findings and suggestions, the research offers crucial components for subsequent investigations.

Anahtar Kelimeler

Gifted students, Mathematical reasoning, Mathematics education, Special talent.

Kaynakça

  1. Akkaş, E., & Tortop, H. S. (2015). Üstün yetenekliler eğitiminde farklılaştırma: temel kavramlar, modellerin karşılaştırılması ve öneriler [Differentiation in gifted education: basic concepts, comparison of models and suggestions]. Journal of Gifted Education and Creativity, 2(2), 31-44.
  2. Apaydın, Z., & Taş, E. (2010). Farklı etkinlik tiplerinin öğretmen adaylarının akıl yürütme becerileri üzerindeki etkileri [The effects of different activity types on prospective teachers' reasoning skills]. Türk Fen Eğitimi Dergisi, 7(4), 172-188.
  3. Aydoğan Yenmez, A., & Gökçe, S. (2022). Matematiksel akıl yürütme [Mathematical reasoning]. Anı Yayıncılık. Baron, J. (1984). Personality and intelligence. In R. J. Sternberg (Ed.), Handbook of human intelligence (pp. 308–351). Cambridge University Press.
  4. Başaran, S. (2011). Üniversite öğrencilerinin matematiksel düşünme ve akıl yürütme becerileriyle ilgili duyuşsal ve demografik etmenlerin araştırılması [Doktora tezi, Orta Doğu Teknik Üniversitesi]. Yükseköğretim Kurulu Ulusal Tez Merkezi.
  5. Baykul, Y. (2014). İlkokulda matematik öğretimi [Teaching Mathematics in Primary School] (12. baskı). Pegem Akademi.
  6. Bingham, A. (1983). Çocuklarda problem çözme yeteneklerinin geliştirilmesi [Developing problem solving skills in children]. 4. Baskı, (F. Oğuzkan, Trans.). Milli Eğitim Basımevi.
  7. Bishop, J. W., Otto, A. D., & Lubinski, C. A. (2001). Promoting algebraic reasoning using students' thinking. Mathematics Teaching in the Middle School, NCTM, 6(9), 508-514.
  8. Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics. 75(1), 89-105. https://doi.org/10.1007/s10649-010-9242-9
  9. Borovik, A., & Gardiner, T. (2006, July). Mathematical abilities and mathematical skills [Paper presentation]. World Federation of National Mathematics Com- petitions Conference, University of Manchester, Cambridge, England.
  10. Brodie, K. (2010). Teaching mathematical reasoning in secondary school classrooms. Springer Science and Business Media.

Kaynak Göster

APA
Saltık Ayhanöz, G., & Aydoğan Yenmez, A. (2025). An Examination of Gifted Students’ Mathematical Reasoning Approaches. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, 66, 4490-4532. https://doi.org/10.53444/deubefd.1564667
AMA
1.Saltık Ayhanöz G, Aydoğan Yenmez A. An Examination of Gifted Students’ Mathematical Reasoning Approaches. DEU BEF Dergi. 2025;(66):4490-4532. doi:10.53444/deubefd.1564667
Chicago
Saltık Ayhanöz, Gülşah, ve Arzu Aydoğan Yenmez. 2025. “An Examination of Gifted Students’ Mathematical Reasoning Approaches”. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, sy 66: 4490-4532. https://doi.org/10.53444/deubefd.1564667.
EndNote
Saltık Ayhanöz G, Aydoğan Yenmez A (01 Aralık 2025) An Examination of Gifted Students’ Mathematical Reasoning Approaches. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi 66 4490–4532.
IEEE
[1]G. Saltık Ayhanöz ve A. Aydoğan Yenmez, “An Examination of Gifted Students’ Mathematical Reasoning Approaches”, DEU BEF Dergi, sy 66, ss. 4490–4532, Ara. 2025, doi: 10.53444/deubefd.1564667.
ISNAD
Saltık Ayhanöz, Gülşah - Aydoğan Yenmez, Arzu. “An Examination of Gifted Students’ Mathematical Reasoning Approaches”. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi. 66 (01 Aralık 2025): 4490-4532. https://doi.org/10.53444/deubefd.1564667.
JAMA
1.Saltık Ayhanöz G, Aydoğan Yenmez A. An Examination of Gifted Students’ Mathematical Reasoning Approaches. DEU BEF Dergi. 2025;:4490–4532.
MLA
Saltık Ayhanöz, Gülşah, ve Arzu Aydoğan Yenmez. “An Examination of Gifted Students’ Mathematical Reasoning Approaches”. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, sy 66, Aralık 2025, ss. 4490-32, doi:10.53444/deubefd.1564667.
Vancouver
1.Gülşah Saltık Ayhanöz, Arzu Aydoğan Yenmez. An Examination of Gifted Students’ Mathematical Reasoning Approaches. DEU BEF Dergi. 01 Aralık 2025;(66):4490-532. doi:10.53444/deubefd.1564667