Journals / Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi / 2026 / Cilt: 14 Sayı: 1

How to Introduce Function Concept in Textbooks?: Evaluations of Pre-Service Mathematics Teachers

Ders Kitaplarında Fonksiyon Kavramına Nasıl Giriş Yapılıyor?: Matematik Öğretmen Adaylarının Değerlendirmeleri

Zuhal Yılmaz(University of California Riverside)0000-0003-0641-4012
Hatice Akkoç(MARMARA ÜNİVERSİTESİ)0000-0002-0223-1158
Pages
240–270
Publication Date
2020-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It was found that they could evaluate the introductory sections of the books with a critical lens along with providing mathematical and pedagogical justification.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Textbooks are one of the most commonly used instructional resources by teachers.
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Key Findings & Data:However, a significant weakness of pre-service teachers’ mathematical justifications is the difficulty in supporting their ideas about the limitations and affordances of function ideas.
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Conclusion & Impact:It was found that they could evaluate the introductory sections of the books with a critical lens along with providing mathematical and pedagogical justification.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:ders kitabı · ders kitabı değerlendirme · fonksiyon

Abstract

Textbooks are one of the most commonly used instructional resources by teachers. Using textbooks without critical evaluation has a direct impact on instruction. For this reason, it is important to examine how pre-service teachers evaluate and criticize textbooks. The aim of this study is to examine how pre-service mathematics teachers evaluate the introductory sections of three different mathematics textbooks on functions each of which embraces a different function idea. In the study, pre-service teachers’ written evaluation reports on the introductory sections were examined. It was found that they could evaluate the introductory sections of the books with a critical lens along with providing mathematical and pedagogical justification. However, a significant weakness of pre-service teachers’ mathematical justifications is the difficulty in supporting their ideas about the limitations and affordances of function ideas. A major weakness in pedagogical justifications was that the examples of daily life were privileged regardless of to what extent they represented the mathematical meaning of function.

Özet

Özet – Ders kitapları öğretmenlerin en çok kullandıkları ders materyalleri arasında yer almaktadır. Ders kitaplarının değerlendirilmeden derslerde bire bir kullanılması öğretimi doğrudan etkilemektedir. Bu sebeple göreve başlayacak olan öğretmen adaylarının ders kitaplarını nasıl değerlendiklerinin incelenmesi önemlidir. Bu çalışmanın amacı matematik öğretmen adaylarının fonksiyona ait üç farklı fikri benimseyen üç farklı ders kitabını nasıl değerlendirdiklerini belirlemektir. Çalışmada adayların ders kitaplarının fonksiyona giriş bölümleri için yazdıkları değerlendirme raporları incelenmiştir. Çalışma sonucunda adayların ders kitaplarındaki farklı fonksiyon girişlerine matematiksel ve pedagojik gerekçeler göstererek eleştirel bir gözle bakabildikleri ortaya çıkmıştır. Buna rağmen adayların sundukları matematiksel gerekçeleri yeterli düzeyde açıklayamadığı görülmüştür. Ayrıca adayların giriş bölümlerinde var olan günlük hayat örneklerine çok fazla önem verdikleri fakat bu örneklerin fonksiyonu matematiksel olarak temsil edip etmediğini yeterince irdelemedikleri görülmektedir.

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Cite This Article

Yılmaz, Z., Dede, H. G., Akkoç, H. (2020). How to Introduce Function Concept in Textbooks?: Evaluations of Pre-Service Mathematics Teachers. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, Cilt: 14 Sayı: 1, 240–270. https://doi.org/10.17522/balikesirnef.645888

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References (41)

  1. Ayalon, M., Watson, A., & Lerman, S. (2017). Students’ conceptualisations of function revealed through definitions and examples. Research in Mathematics Education, 19(1), 1-19.
  2. Aydın, N., Camus, A. ve Kaya, M. (2018). Ortaöğretim matematik ders kitabı 10. Ankara: Aydın Yayıncılık.
  3. Bağrıaçık, M., Şişman, M., Lökçü, M., Çolak, Ö., Keskin, Ç., Atak, Ö. ve diğerleri. (2010). Ortaöğretim matematik 9. sınıf ders kitabı (5. Baskı). Ankara: Devlet Kitapları.
  4. Ball, D. L., & Feiman-Nemser, S. (1988). Using textbooks and teachers’ guides: A dilemma for beginning teachers and teacher educators. Curriculum Inquiry, 18(4), 401–423.
  5. Banilower, E. R., Smith, P. S., Malzahn, K. A., Plumley, C. L., Gordon, E. M., Hayes, M. L. (2018). Report of the 2018 NSSME+. Chapel Hill, NC: Horizon Research.
  6. Beyer, C. J., & Davis, E. A. (2012). Learning to critique and adapt science curriculum materials: Examining the development of preservice elementary teachers' pedagogical content knowledge. Science Education, 96(1), 130-157.
  7. Cady, J. A., Hodges, T. E., & Collins, R. L. (2015). A comparison of textbooks' presentation of fractions. School Science and Mathematics, 115(3), 105-116.
  8. Cady, J., Meier, S. L., & Lubinski, C. A. (2006). Developing mathematics teachers: The transition from preservice to experienced teacher. The Journal of Educational Research, 99(5), 295-306.
  9. Collopy, R. (2003). Curriculum materials as a professional development tool: How a mathematics textbook affected two teachers' learning. The Elementary School Journal, 103(3), 287-311.
  10. Cooney, T. J., Beckmann, S., Lloyd, G. M., Wilson, P. S., & Zbiek, R. M. (2010). Developing essential understandings of functions for teaching mathematics in grades 9–12. Reston, VA: NCTM.
  11. Davis, J. D. (2009). Understanding the influence of two mathematics textbooks on prospective secondary teachers’ knowledge. Journal of Mathematics Teacher Education, 12(5), 365-389.
  12. DeMarois, P., & Tall, D. (1999). Function: Organizing principle or cognitive root? In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 257–264). Haifa, Israel: PME.
  13. Doorman, M., Drijvers, P., Gravemeijer, K., Boon, P., & Reed, H. (2012). Tool use and the development of the function concept: From repeated calculations to functional thinking. International Journal of Science and Mathematics Education, 10(6), 1243–1267.
  14. Drake, C., & Sherin, M. G. (2009). Developing curriculum vision and trust: changes in teachers' curriculum strategies. In J. Remillard, B. Herbel-Eisenmann, & G. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (pp. 321-337). New York: Routledge.
  15. Elsaleh, I. (2010). Research in brief: Teachers' interactions with curriculum materials in mathematics. School Science and Mathematics, 110(4), 177-179.Gök, M., Erdoğan, A., & Erdoğan, E. Ö. (2019). Transpositions of function concept in mathematics curricula and textbooks from the historical development perspective. International Journal of Instruction, 12(1), 1189-1206.
  16. Grossman, P., & Thompson, C. (2008). Learning from curriculum materials: Scaffolds for new teachers? Teaching and Teacher Education, 24(8), 2014-2026.Grouws, D. A., & Cebulla, K. J. (2000). Elementary and middle school mathematics at the crossroads. In T. L. Good (Ed.), American education, yesterday, today, and tomorrow (Vol. 2, pp. 209–255). Chicago, IL: University Press.
  17. İskenderoğlu, T., & Baki, A. (2011). İlköğretim 8. sınıf matematik ders kitabındaki soruların PISA matematik yeterlik düzeylerine göre sınıflandırılması. Eğitim ve Bilim, 36(161), 287-301.
  18. Jacobs, V. R., Lamb, L. L., & Philipp, R. A. (2010). Professional noticing of children's mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169-202.
  19. Jamieson-Proctor, R., & Byrne, C. (2008). Primary teachers' beliefs about the use of mathematics textbooks. In M. Goos, R. Brown, K. Makar (Eds.), Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia, (pp. 295-302). Brisbane, QLD: MERGA.
  20. Johansson, M. (2006). Teaching mathematics with textbooks: A classroom and curricular perspective. Unpublished doctoral dissertation, Lulea University of Technology, Sweden.
  21. Karakuyu, E., & Bağcı, O. (2013). Ortaöğretim matematik 9. sınıf ders kitabı. Ankara: Dikey Yayıncılık.
  22. Kerpiç, A., & Bozkurt, A. (2011). Etkinlik tasarım ve uygulama prensipleri çerçevesinde 7. sınıf matematik ders kitabı etkinliklerinin değerlendirilmesi. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 8(16), 303-318.
  23. Krippendorff, K. (2004). Content analysis: An introduction to its methodology. Thousand Oaks, CA: Sage.
  24. Mayring P. (2004). Qualitative content analysis. In: Flick U, von Kardoff E, Steinke I,. (Eds.) A companion to qualitative research (p. 266-269). London, UK: Sage.
  25. Milli Eğitim Bakanlığı [MEB], (2005). İlköğretim matematik dersi öğretim programı ve kılavuzu (6-8. sınıflar). Ankara: Devlet Kitapları Müdürlüğü.
  26. Milli Eğitim Bakanlığı [MEB]. (2013). Ortaöğretim matematik 9. sınıf 2. kitap. Ankara: Yazar.National Council of Teachers of Mathematics [NCTM]. (1989). Curriculum and evaluation standards for school mathematics. Reston: NCTM.
  27. Nicol, C. C., & Crespo, S. M. (2006). Learning to teach with mathematics textbooks: How preservice teachers interpret and use curriculum materials. Educational Studies in Mathematics, 62(3), 331-355.
  28. Niss, M. A. (2014). Functions learning and teaching. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 238-241). Dordrecht: Springer Netherlands.
  29. Robitaille, D. F., & Travers, K. J. (1992). International studies of achievement in mathematics. In D. A. Grouws (Ed.), Handbook of research in mathematics teaching and learning (pp. 687–709). New York: Macmillan.
  30. Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers' mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8(3), 255-281.
  31. Sağlam, R., & Alacacı, C. (2012). A comparative analysis of quadratics unit in Singaporean, Turkish and IMDP mathematics textbooks. Turkish Journal of Computer and Mathematics Education, 3(3), 131-147.
  32. Semerci, Ç. (2004). İlköğretim türkçe ve matematik ders kitaplarının genel değerlendirme ölçeği. Cumhuriyet Üniversitesi Sosyal Bilimler Dergisi, 28(1), 49-54.
  33. Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1-36.
  34. Steele, M. D., Hillen, A. F., & Smith, M. S. (2013). Developing mathematical knowledge for teaching in a methods course: The case of function. Journal of Mathematics Teacher Education, 16(6), 451-482.
  35. Tall, D. (1991). Advanced mathematical thinking. Dordrecht: Kluwer Academic Publishers.
  36. Tall, D.O. (2013). How humans learn to think mathematically: exploring the three worlds of mathematics. Cambridge: Cambridge University Press.
  37. Valverde, G. A., Bianchi, L. J., Wolfe, R. G., Schmidt, W. H., & Houang, R. T. (2002). According to the book: Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Dordrecht, The Netherlands: Kluwer.
  38. Vinner, S. (1983). Concept definition, concept image and the notion of function. International Journal of Mathematical Education in Science and Technology, 14(3), 293-305.
  39. Watson, A., Jones, K., & Pratt, D. (2013). Key ideas in teaching mathematics: Research-based guidance for ages 9-19. Oxford: Oxford University Press.
  40. Yazarlar, (2016). Mathematics Teacher Education and Development, xx(x), xx-xx.
  41. Yıldırım, A., & Şimşek, H. (2018). Sosyal bilimlerde nitel araştırma yöntemleri (11. Baskı). Ankara: Seçkin Yayınları.