Matematik Sınıfında Ortaya Çıkan Matematiksel Liderliklerin İncelenmesi: Disiplinler Arası Matematiksel Modelleme Uygulaması

Yıl 2024, , 119 - 147, 29.06.2024

Yunus Güder , Ramazan Gürbüz , Mehmet Gülburnu

https://doi.org/10.17522/balikesirnef.1452318

Öz

Bu çalışmanın amacı, gerçek yaşamdan alınmış Disiplinler Arası Matematiksel Modelleme (DMM) etkinliklerini uygulama sürecinde ortaya çıkan matematiksel liderlik türlerini belirlemektir. Bu amaçla, araştırmacılar bir matematik ve bir fen bilimleri öğretmeni ile birlikte çalışarak disiplinlerarası iki etkinlik (Dere Problemi ve Enerji Tasarruf Problemi) geliştirmiştir. Etkinlikler Türkiye'nin Doğu bölgesinde bir il merkezinde 7. sınıfta öğrenim gören 3 ve 4 kişilik (11-12 yaş) iki gruba uygulanmıştır. Uygulama sürecinde öğrenciler matematik ve fen bilimleri ile ilgili bilgilerini bütünleşik bir yapıda kullanarak kendi matematiksel ve bilimsel fikirlerini ortaya atmış, bu fikirlerini grup içi tartışmalarla destekleyerek birbirinden farklı modeller (ürün) ortaya koymuşlardır. Model oluşturma sürecinde grup içinde bazı öğrencilerin matematiksel liderliklerinin ön plana çıktığı görülmüştür.

Anahtar Kelimeler

Disiplinler arası matematiksel modelleme, matematiksel liderlik, ortaokul matematik sınıfı

Investigation of Emerging Mathematical Leadership in Mathematics Classroom: Application of Interdisciplinary Mathematical Modeling

Öz

The aim of this study is to determine the types of mathematical leadership that emerge in the process of applying Interdisciplinary Mathematical Modeling activities taken from real life. For this purpose, the researchers, working with a mathematics teacher and a science teacher, developed two interdisciplinary activities (the Stream Problem and the Energy Saving Problem). The activities were implemented in two groups of 3 and 4 students (11-12 years of age) studying in the 7th grade in a provincial center in the Eastern region of Turkey. In the application process, students put forward their own mathematical and scientific ideas by using their knowledge of mathematics and science in an integrated structure, and by supporting these ideas with group discussions, they produced different models (products). In the process of creating a model, it was observed that some students' came forth within the group, with their mathematical leaderships.

Anahtar Kelimeler

Interdisciplinary mathematical modeling, mathematical leadership, middle school mathematics classroom

Kaynakça

• Arıkan, E. E. (2014). An investigation of problem solving-posing abilities of secondary school students and their thoughts concerning problem posing by means of using metaphors (Publication No: 411578) [Doctoral dissertation, Yıldız Technical University]. Council of Higher Education Thesis Center.
• Arıkan, S. (2001). Evaluation of Atatürk's leadership behaviors in terms of authoritarian and democratic leadership styles. Hacettepe University Faculty of Economics and Administrative Sciences Journal, 19(1), 231-257. https://dergipark.org.tr/en/pub/huniibf/issue/29681/319222
• Baki, A. (2014). Kuramdan uygulamaya matematik eğitimi: matematik felsefesi, matematik tarihi, özel öğretim yöntemleri, ölçme ve değerlendirme (3rd ed.). Harf.
• Bingöl, D., Şener, İ., & Cevik, E. (2013). The effect of organizational culture on organizational image and identity: Evidence from a pharmaceutical company. Procedia-Social and Behavioral Sciences, 99, 222-229. https://doi.org/10.1016/j.sbspro.2013.10.489
• Bolman, L. G., & Deal, T. E. (1991). Leadership and management effectiveness: A multi‐frame, multi‐sector analysis. Human Resource Management, 30(4), 509-534. https://doi.org/10.1002/hrm.3930300406
• Bostancı, A. (2012). Turkish adaptation of the shared leadership perception scale. International Journal of Human Sciences, 9(2), 1619-1631. https://www.researchgate.net/publication/279963278_Turkish_adaptation_of_the_Shared_Leadership_Perception_Scale_Paylasilan_Liderlik_Algisi_Olcegi'nin_Turkce_uyarlamasi
• Clark, K. M., & Thoo, J. B. (2014). Introduction to the special issue on the use of history of mathematics to enhance undergraduate mathematics instruction. Primus, 24(8), 663-668. https://doi.org/10.1080/10511970.2014.905511
• Cobb, P., & Steffe, L. (1983). The constructivist researcher as teacher and model builder. Journal for Research in Mathematics Education, 14(2), 83-94. https://www.jstor.org/stable/748576
• Çelik, C., & Sünbül, Ö. (2008). Education and gender factor in leadership perceptions: a field research in Mersin province. Süleyman Demirel University Journal of Faculty of Economics and Administrative Sciences, 3, 49-66. https://dergipark.org.tr/tr/pub/sduiibfd/issue/20832/223161
• Daft, R. L. (1991). Management (2nd ed.). The Dryden Press.
• Dereli, M. (2003). A survey research of leadership styles of elementary school principals (Publication No: 140148) [Master’s thesis, Middle East Technical University]. Council of Higher Education Thesis Center.
• Fried, M. N. (2007). Didactics and history of mathematics: Knowledge and self-knowledge. Educational Studies in Mathematics, 66, 203-223. https://doi.org/10.1007/s10649-006-9025-5
• Gedik, Y. (2020). Transformational and transactional leadership. International Journal of Leadership Studies: Theory and Practice, 3(2), 19-34. https://dergipark.org.tr/tr/pub/ijls/issue/56102/728755
• Goleman D., Boyatzis R., & McKee A. (2002) The new leaders: transforming the art of leadership into the science of results (2nd ed.). Little Brown.
• Heiede, T. (1992). Why teach history of mathematics. The Mathematical Gazette, 76(475), 151-157. https://doi.org/10.2307/3620388
• Kellerman, B. (2014). Hard times: leadership in America. Stanford University Press.
• Koçel, T. (2003). İşletme yöneticiliği (9th ed.). Beta.
• Kotter, J. (1988). The leadership factor (1th ed.). Free Press.
• Lesh, R., & Kelly, A. (2000). Multitiered teaching experiments. Handbook of Research Design in Mathematics and Science Education, 197-230. Routledge.
• Mann, T. (2011). History of mathematics and history of science. Isis, 102(3), 518-526. https://doi.org/10.1086/661626
• Massarik, F., Tannenbaum, R., & Weschler, I. R. (1961). Leadership and organization: a behavioral science approach (1th ed.). McGraw-Hill Book Co.
• McCleskey, J. A. (2014). Situational, transformational, and transactional leadership and leadership development. Journal Of Business Studies Quarterly, 5(4), 117. https://www.researchgate.net/publication/272353199_Situational_transformational_and_transactional_leadership_and_leadership_development
• Mullins, L. J. (2007). Management and organisational behaviour. Pearson Education.
• Osborn, R. N., & Hunt, J. G. J. (2007). Leadership and the choice of order: Complexity and hierarchical perspectives near the edge of chaos. The Leadership Quarterly, 18(4), 319-340. https://doi.org/10.1016/j.leaqua.2007.04.003
• Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.
• Silva, F. P., Jerónimo, H. M., & Vieira, P. R. (2019). Leadership competencies revisited: A causal configuration analysis of success in the requirements phase of information systems projects. Journal of Business Research, 101, 688-696. https://doi.org/10.1016/j.jbusres.2019.01.025
• Stogdill, R. M. (1950). Leadership, membership and organization. Psychological Bulletin, 47(1), 1-12. https://psycnet.apa.org/doi/10.1037/h0053857
• Strauss, A., & Corbin, J. (2007). Basics of qualitative research: Techniques and procedures for developing grounded theory (3th ed.). Sage.
• Turan, M. B., Erol, Z., & Karaoğlu, B. (2016). Examining the predictive power of the leadership levels of students studying in the department of physical education and sports teaching on the teaching profession. Istanbul University Journal of Sports Sciences, 6(3), 71-78. https://dergipark.org.tr/en/pub/iuspor/issue/31114/337696
• Winston, B. E., & Patterson, K. (2006). An integrative definition of leadership. International Journal of Leadership Studies, 1(2), 6-66. https://www.studocu.com/en-us/document/bryan-college/worship-leadership-team/an-integrative-definition-of-leadership/11193773
• Yıldırım, A., & Şimşek, H. (2011). Sosyal bilimlerde nitel araştırma yöntemleri (8th ed.). Seçkin.
• Yukl, G. (1998). Leadership in organizations (4th ed.). PrenticeHall.