The Impact of The Gifted and Talented Curriculum Design on the Mathematics Achievement of Typically Developing

Öz

The aim of the research is examining the effectiveness of an educational program designed for gifted students on the mathematics achievement of normally developing students. Various differentiation models were reviewed, and a mathematics program was developed based on the Gifted Education Program Design due to its suitability for general classroom settings. The study assessed the program’s impact on students' learning levels using a mixed-methods approach, incorporating both quantitative and qualitative data. Quantitative data were collected through a mathematics achievement test, while qualitative data came from teacher interviews. A pre-test/post-test experimental control group design was used, study group consist of randomly selected 90 second grade student and 3 teachers. The program was implemented to parallel with (MEB) 2nd Grade Mathematics Curriculum over 14 weeks. A paired sample t-test was used to compare pre- and post-test scores within groups, and an independent sample t-test analyzed differences between groups, given the normal distribution of scores. Content analysis was applied to qualitative data. Findings indicate that gifted education programs significantly enhance mathematics achievement, supporting their role in addressing diverse learning needs. The study provides empirical evidence and offers recommendations for future research in gifted education.

Anahtar Kelimeler

• Mathematical Success
• Regular student and gifted education
• Differentiation
• Gifted curriculum

Üstün Yeteneklilere Yönelik Geliştirilen Programının Normal Gelişim Gösteren Öğrencilerin Akademik Başarısına Etkisi

Öz

Bu araştırma, üstün yetenekli öğrenciler için geliştirilen eğitim programının, normal gelişim gösteren öğrencilerin matematik başarısı üzerindeki etkisini incelemektedir. Çeşitli farklılaştırma modelleri değerlendirilmiş ve genel sınıf ortamına uygunluğu nedeniyle Üstün Yeteneklilik Programı Tasarımı temel alınarak matematik programı oluşturulmuştur. Programın etkisi karma yöntem kullanılarak değerlendirilmiş, nicel veriler matematik başarı testiyle, nitel veriler ise öğretmen görüşmeleriyle toplanmıştır. Araştırmada, ön test-son test kontrol gruplu deneysel desen kullanılmıştır. Rastgele seçilmiş 45 deney grubu, 45 kontrol grubundaki 2. Sınıf öğrencisi ve 3 öğretmen çalışma grubunu oluşturmaktadır. Geliştirilen program MEB 2. Sınıf Matematik Öğretim Programı ile paralel olarak 14 hafta boyunca uygulanmıştır. Bağımlı örneklem t-testi, ön test ve son test puanlarını karşılaştırmak için, bağımsız örneklem t-testi ise gruplar arasındaki son test puanlarını değerlendirmek için kullanılmıştır. İçerik analizi, nitel verilerin yorumlanmasında kullanılmıştır. Sonuçlar, üstün yetenekli öğrenciler için geliştirilen programların matematik başarısını artırdığını ve farklı öğrenme ihtiyaçlarını desteklediğini göstermektedir. Araştırma, üstün yetenekliler eğitimi alanında gelecekte yapılacak çalışmalar için önemli veriler sunmaktadır.

Anahtar Kelimeler

• Üstün yetenek programı
• Farklılaştırma
• Matematik başarısı
• Normal öğrenci ve üstün yetenek eğitimi

Kaynakça

1. Algozzine, B. & Anderson, K. M. (2007). Tips for teaching: Differentiating instruction to include all students. Preventing School Failure: Alternative Education for Children and Youth, 51(3), 49-54. https://doi.org/10.3200/PSFL.51.3.49-54
2. Betts, G. (t.y.). Autonomous learner model for the gifted and talented. New Mexico Association for the Gifted. Erişim adresi: http://nmgifted.org/uploads/2/8/2/3/2823338/autonomous_learner_model.pdf
3. Creswell, J. W. (2009). Research design: qualitative, quantitative, and mixed methods approaches (3. baskı). Sage Publications.
4. Davis, G. A., & Rimm, S. B. (1985). Education of the gifted and talented. Englewood Cliffs, Prentice-Hall.
5. Deunk, M. I., Smale-Jacobse, A. E., de Boer, H., Doolaard, S., & Bosker, R. J. (2018). Effective differentiation practices: A systematic review and meta-analysis of studies on the cognitive effects of differentiation practices in primary education. Educational Research Review, 24, 31–54. https://doi.org/10.1016/j.edurev.2018.02.002
6. Feldhusen, J. F., & Kollhoff, M. B. (1986). The Purdue three-stage model for gifted education. In J. S. Renzulli (Ed.), Systems and models for developing programs for the gifted and talented (ss.. 126-152). Creative Learning Press.
7. Feldhusen, J. F., & Robinson, A. R. (1986). The Purdue secondary model for gifted and talented youth. In J. S. Renzulli (Ed.), Systems and models for developing programs for the gifted and talented (ss.. 155–178). Creative Learning Press.
8. Goyibova, N., Muslimov, N., Sabirova, G., Kadirova, N., & Samatova, B. (2025). Differentiation approach in education: Tailoring instruction for diverse learner needs. MethodsX, 14, 103163. https://doi.org/10.1016/j.mex.2025.103163

9. Hall, T. (2002). Differentiated instruction. effective classroom practices report. national center on accessing the general curriculum. Washington DC: Office of Special Education Programs, U.S. Department of Education.
10. Heacox, D. (2002). Differentiating instruction in the regular classroom: How to reach and teach all learners, grades 3-12. Free Spirit Publishing.
11. Jellen, H. G., & Verduin, J. R. (1986). Handbook for Differential Education of the Gifted: A Taxonomy of 32 Key Concepts. Southern Illinois University Press.
12. Karasar, N. (2006). Bilimsel araştırma yöntemi. Nobel Yayınları.
13. Kaplan, S. N. (2009). The grid: A model to construct differentiated curriculum for the gifted. In J. S. Renzulli, E. J. Gubbins, K. S. McMillen, R. D. Eckert, & C. A. Little (Eds.), Systems and models for developing programs for the gifted and talented (2. baskı, ss. 235-249). Creative Learning Press.
14. Lawrence-Brown, D. (2004). Differentiated instruction: Inclusive strategies for standards-based learning that benefit the whole class. American Secondary Education, 32(3), 34–62. https://www.jstor.org/stable/41064522
15. Levy, H. M. (2008). Meeting the needs of all students through differentiated instruction: Helping every child reach and exceed standards. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 81(4), 161-164. https://doi.org/10.3200/TCHS.81.4.161-164
16. Maker, C. J. (1982). Curriculum development for the gifted.: Pro-Ed.
17. Newman, j.l. (2008). Talent unlimited: It’s time to teach thinking skills again!. Gifted Child Today. 31(3), 34-44
18. Özçelik, T. (2017). Üstün yeteneklilere yönelik geliştirilen farklılaştırılmış matematik dersi öğretim programının etkililiği Doktora tezi, Hacettepe Üniversitesi]. YOK Ulusal Tez Merkezi.
19. Renzulli, J. S. (1977). The enrichment triad model: A guide for developing defensible programs for the gifted and talented. Creative Learning Press.
20. Renzulli, J. S. (1988). The multiple menu model for developing differentiated curriculum for the gifted and talented. Gifted Child Quarterly, 33, 298–409.
21. Renzulli, J. S., & Reis, S. M. (1997). The schoolwide enrichment model: A how-to guide for educational excellence (2. baskı). Creative Learning Press.
22. Renzulli, J. S., & Reis, S. M. (2010). Applying gifted education pedagogy to total talent development for all students. Theory Into Practice, 44(2), 80-89.
23. Renzulli, J. S., & Reis, S. M. (2024). Applying the pedagogy of gifted education pedagogy to total school improvement. Gifted Education Pedagogy.
24. Tomlinson, C. A., Kaplan, S. N., Renzulli, J. S., Purcell, J., Leppien, J., Burns, D. E., Strickland, C. A., & Imbeau, M. B. (2008). The parallel curriculum: A design to develop high potential and challenge high-ability learners (2. baskı). Corwin Press,
25. Smit, R., & Humpert, W. (2012). Differentiated instruction in Csmall schools. Teaching and Teacher Education, 28, 1152–1162. https://doi.org/10.1016/j.tate.2012.07.003
26. Southern, W. T., & Jones, E. D. (1993). Acceleration and enrichment: The context and development of program options.
27. Ward, V. S. (1961). Educating the gifted: An axiomatic approach. Merrill Books.
28. Ward, V. S. (1962). The gifted student: A manual for regional improvement. Southern Regional Education Board.
29. Ward, V. S. (1980). Differential education for the gifted. National/State Leadership Training Institute for the Gifted and the Talented. (Original work published 1961)
30. VanTassel-Baska, J., & Stambaugh, T. (2005). Challenges and possibilities for serving gifted learners in the regular classroom. Journal of Theory Into Practice, 44(3), 211-217.
31. VanTassel-Baska, J. (2003). Curriculum planning and instructional design for gifted learners. Love Publishing.
32. Yıldırım, A., ve Şimşek, H. (2008). Sosyal bilimlerde nitel araştırma yöntemleri (5. baskı). Seçkin Yayıncılık.