Mathematical Modeling Competencies and Opinions of Middle School Students in Interdisciplinary Modeling Tasks

Zülküf Kılıç; Kemal Özgen

doi:10.53444/deubefd.1472220

TR EN

Disiplinler Arası Modelleme Etkinliklerinde Ortaokul Öğrencilerinin Matematiksel Modelleme Yeterlikleri ve Görüşleri

Öz

Bu çalışmanın amacı, disiplinler arası modelleme etkinlikleri ile tasarlanmış bir öğrenme ortamında ortaokul öğrencilerinin matematiksel modellemeye yönelik yeterliklerini ve bu süreç hakkındaki görüşlerini incelemektir. Araştırmada iç içe deneysel karma desen kullanılmıştır. Çalışma deney ve kontrol gruplu yedinci sınıf öğrencileri ile uygulama süreci ve ön test-son test olmak üzere 15 hafta sürmüştür. Araştırmanın verileri matematiksel modelleme etkinlikleri, matematiksel modellemeye yönelik ön ve son görüş formlarından elde edilmiştir. Nicel verilerin analizinde Wilcoxon işaretli sıralar testi ile Mann Whitney U-testi; nitelde ise betimsel analiz ve içerik analizi kullanılmıştır. Deney grubu öğrencilerinin ön test-son test modelleme yeterliklerinde doğrulama yeterliği hariç diğer tüm yeterliklerde son test lehine anlamlı fark oluştuğu tespit edilmiştir. Deney grubu öğrencilerinin görüşlerine yönelik nitel analizlerde ise öğrenme süreci sonrasında, matematiksel modellemenin öğrencilerin matematiği diğer disiplinler ve günlük hayat ile ilişkilendirmelerinde etkili olduğu; başarı, anlama, ilgi ve motivasyonlarına olumlu katkılar sağladığı belirlenmiştir.

Anahtar Kelimeler

Matematiksel modelleme , modelleme yeterlikleri , farklı disiplinlerle ilişkilendirme , ortaokul öğrencileri.

Mathematical Modeling Competencies and Opinions of Middle School Students in Interdisciplinary Modeling Tasks

Abstract

The aim of this study is to investigate middle school students' competencies towards mathematical modelling and their views on this process in a learning environment designed with interdisciplinary modelling activities. Embedded experimental mixed design was used in the study. The study lasted 15 weeks with seventh grade students with control and experimental groups, including the application process and pre-test-post-test. The data of the research were obtained from mathematical modeling tasks, pre-opinion, and post-opinion forms for mathematical modeling. In the analysis of quantitative data, Wilcoxon signed ranks test and Mann Whitney U-test; In the qualitative, content analysis and thematic analysis were used. It was determined that there was a significant difference in favour of the post-test in all other competencies except the validating competence in the pre-test-post-test modeling competencies. In the qualitative analysis of the opinions of the experimental group students, it was found that mathematical modeling was efficient in associating mathematics with other disciplines and daily life after the learning process; It has been determined that it contributes positively to their success, understanding, interest and motivation.

Keywords

Mathematical modeling , modeling competencies , connection with other disciplines , middle school students.

Kaynakça

Ang, A. K. (2010). Teaching and learning mathematical modeling with technology. Retrieved from http://atcm.mathandtech.org/ep2010/invited/3052010_18134.pdf.
Australia Ministry of Education. (2008). Australian Curriculum. Retrieved From http://www.australiancurriculum.edu.au/mathematics/rationale.
Aydın Güç, F. (2015). Matematiksel modelleme yeterliklerinin geliştirilmesine yönelik tasarlanan öğrenme ortamlarında öğretmen adaylarının matematiksel modelleme yeterliklerinin değerlendirilmesi. [Yayınlanmamış doktora tezi], Karadeniz Teknik Üniversitesi.
Baki, A. (2014). Kuramdan uygulamaya matematik eğitimi (5. Baskı). Harf Yayınları.
Baran Bulut, D., & Türker, M. (2022). Ortaokul öğrencilerinin üslü ifadeler konusunda modelleme yeterliklerinin incelenmesi: Sarmal kitaplık problemi. Recep Tayyip Erdoğan Üniversitesi Eğitim Fakültesi Dergisi (REFAD), 2(2), 39-56.
Biccard, P., & Wessels, D. C. J. (2011). Documenting the development of modeling competencies of grade 7 students. In Kaiser, G. et al. (Eds). Trends in Teaching and Learning of Mathematical Modeling (ICTMA 14) (pp. 375-383). Springer. https://doi.org/10.1007/978-94-007-0910-2_37
Blomhøj, M. (2007). Developing mathematical modelling competency through problem based project work-experiences from Roskilde University. Philosophy and Science Teaching Conferance. Retrieved from http://www. ucalgary. ca/ihpst07/proceedings/ıhpst07% 20papers/125% 20blomhoj. pdf.
Blomhøj, M., & Jensen, H. T. (2003). Developing mathematical modelling competence: conceptual clarification and educational planning. Teaching Mathematics And Its Applications, 22(3), 123-139. https://doi.org/10.1093/teamat/22.3.123
Blomhøj, M., & Kjeldsen, T. N. (2006). Teaching mathematical modeling through project work. Zentralblatt Für Didaktik Der Mathematik-ZDM, 38(2), 163-177. https://doi.org/10.1007/BF02655887
Blum, W., & Borromeo-Ferri, R. (2009). Mathematical Modeling: can it be taught and learnt? Journal of Mathematical Modeling and Application, 1(1), 45-58.

Blum, W., & Leiß, D. (2005). “Filling Up” -the problem of independence-preserving teacher interventions in lessons with demanding modelling tasks. In CERME 4– Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education (pp. 1623-1633).
Blum, W., & Leiß, D. (2007). How do students and teachers deal with modeling problems? In C. Haines, P. Galbraith, W. Blum & S. Khan (Eds.), Mathematical Modeling: Education, Engineering and Economics (Pp. 222-231). Horwood Publishing. https://doi.org/10.1533/9780857099419.5.221
Borich, G. D. (2018). Etkili öğretim yöntemleri [Effective teaching methods]. (Trans. Ed. Acat B.). Nobel Yayıncılık.
Borromeo-Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modeling process. The International Journal on Mathematics Education, 38(2), 86-95. https://doi.org/10.1007/BF02655883
Borromeo-Ferri, R. (2010). On the influence of mathematical thinking styles on learners’ modeling behaviour. Journal für Mathematik-Didaktik, 31(1), 99-118. https://doi.org/10.1007/s13138-010-0009-8
Borromeo-Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. Springer International Publishing. https://doi.org/10.1007/978-3-319-68072-9
Borromeo-Ferri, R., & Mousoulides, N. (2017). Mathematical modeling as a prototype for interdisciplinary mathematics education? - Theoretical reflections. In T. Dooley & G. Gueudet (Eds.), Proceedings of CERME 10 (pp. 900-907). ERME.
Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2019). Eğitimde bilimsel araştırma yöntemleri. Pegem Akademi.
Cabrera-Baquedano, A., Huincahue, J., & Gaete-Peralta, C. (2022). Tránsitos al ajustar modelos matemáticos interdisciplinares: el caso de la alfabetización financiera [Transits when adjusting interdisciplinary mathematical models: the case of financial literacy]. Uniciencia, 36(1), 702-721. https://doi.org/10.15359/ru.36-1.45
Çevikbaş, M., Kaiser, G., & Schukajlow, S. (2022). A systematic literature review of the current discussion on mathematical modelling competencies: State-of-the-art developments in conceptualizing, measuring, and fostering. Educational Studies in Mathematics, 109(2), 205-236. https://doi.org/10.1007/s10649-021-10104-6
Chamberlin, S. A., & Moon, S. M. (2005). Model-eliciting activities as a tool to develop and identify creatively gifted mathematicians. Journal of Secondary Gifted Education, 17(1), 37-47. https://doi.org/10.4219/jsge-2005-393
Competence. (2024). In Wikipedia. Retrieved November 03, 2024, from https://en.wikipedia.org/wiki/Competence_(human_resources).
Council of Higher Education [CoHE]. (2018). Matematik öğretmenliği lisans programı [Mathematics teaching undergraduate program.]. Retrieved from https://www.yok.gov.tr/Documents/Kurumsal/egitim_ogretim_dairesi/Yeni-Ogretmen-Yetistirme-Lisans-Programlari/Ilkogretim_Matematik_Lisans_Programi.pdf.
Creswell, J. W., & Plano Clark, V. L. (2018). Karma yöntem araştırmaları [Mixed methods research]. (Trans. Ed. Dede, Y., & Demir S. B.). Anı Yayıncılık.
Curriculum Planning and Development Division [CPDD]. (2012). O-Level mathematics teaching and learning syllabus. Singapore: Ministry of Education.
Çakmak Gürel, Z. (2018). Matematik öğretmeni adaylarının matematiksel modelleme süreçlerinin bilişsel açıdan incelenmesi [The investigation of mathematical modeling processes of pre-service mathematics teachers with cognitive perspective] [Unpublished doctoral dissertation]. Atatürk University.
Çavuş Erdem, Z., & Gürbüz, R. (2018). Matematik modelleme etkinliklerine dayalı öğrenme ortamında yedinci sınıf öğrencilerinin alan ölçme bilgi ve becerilerinin incelenmesi [Examining the 7th grade students’ surface area calculation knowledges and skills in mathematical modeling activities based learning environments]. Adıyaman University Journal of Educational Sciences, 8(2), 86-115. https://doi.org/10.17984/adyuebd.468376
Çavuş Erdem, Z., Doğan, M. F., & Gürbüz, R. (2021). Ortaokul Öğrencilerinin Disiplinler Arası Matematiksel Modelleme Becerilerinin İncelenmesi [Investigation of middle school students' interdisciplinary mathematical modeling skills]. Cumhuriyet Uluslararası Eğitim Dergisi, 10(4), 1763-1788. https://doi.org/10.30703/cije.927243
Çepni, S. (2012). Araştırma ve Proje Çalışmalarına Giriş [Introduction to research and project studies] (Geliştirilmiş 6. Baskı). Celepler Matbaacılık.
Çiltaş, A., & Işık, A. (2013). Matematiksel modelleme yoluyla öğretimin ilköğretim matematik öğretmeni adaylarının modelleme becerileri üzerine etkisi [The effect of ınstruction through mathematical modeling on modeling skills of prospective elementary mathematics teachers]. Kuram ve Uygulamada Eğitim Bilimleri, 13(2), 1177-1194.
Çoksöyler, A., & Bozkurt, G. (2021). Bilişsel perspektif bağlamında matematiksel modelleme süreci: Altıncı sınıf öğrencilerinin deneyimleri. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, (52), 480-502. https://doi.org/10.53444/deubefd.930216
Deniz, D., & Akgün, L. (2014). Ortaöğretim öğrencilerinin matematiksel modelleme yönteminin sınıf içi uygulamalarına yönelik görüşleri [Secondary school students’ views on the classroom practices of mathematical modeling method]. Trakya Üniversitesi Eğitim Fakültesi Dergisi, 4(1), 103-116.
Doğan, M. F., Gürbüz, R., Erdem, Z. Ç., & Şahin, S. (2019). Using mathematical modeling for integrating STEM disciplines: A theoretical framework. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 10(3), 628-653. https://doi.org/10.16949/turkbilmat.502007
Doruk, B. K., & Umay, A. (2011). Matematiği günlük yaşama transfer etmede matematiksel modellemenin etkisi [The effect of mathematical modeling on transferring mathematics into daily life]. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 41(41), 124-135.
Duman, S. Ö., & Aydoğan Yenmez, A. (2024). An investigation of students’ mathematical connection and metacognitive skills in the mathematical modelling process. International Journal of Mathematical Education in Science and Technology, 1-53. https://doi.org/10.1080/0020739X.2024.2404426
English, L. D. (2004). Mathematical modeling in the primary school. I. Putt, R. Faragher & M. Mclean (Eds.), Proceedings Of The 27th Annual Conference Of Mathematics Education Research Group Of Australasia, Mathematics Education For The Third Millenium: Towards 2010 (pp. 207-214). Merga.
English, L. D. (2006). Mathematical modeling in the primary school: Children's construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303-323. https://doi.org/10.1007/s10649-005-9013-1
English, L. D. (2007). Interdisciplinary modeling in the primary mathematics curriculum. In Watson, Jane and Beswick, Kim, (Eds.) Proceedings 30th Mathematics Education Research Group of Australasia Annual Conference (pp. 275-284), Hobart.
English, L. D. (2015). STEM: Challenges and opportunities for mathematics education. In Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 4-18). PME.
English, L. D., & Watters, J. (2005). Mathematical modeling in the early school years. Mathematics Education Research Journal, 16 (3), 58-79. https://doi.org/10.1007/BF03217401
Erbaş, A. K., Kertil, M., Çetinkaya, B., Çakıroğlu, E., Alacacı, C., & Baş, S. (2014). Matematik eğitiminde matematiksel modelleme: Temel kavramlar ve farklı yaklaşımlar. Kuram Ve Uygulamada Eğitim Bilimleri, 14 (4), 1-21. https://doi.org/10.12738/estp.2014.4.2039
Eric, C. C. M. (2008). Using model-eliciting activities for primary mathematics classrooms. The Mathematics Educator, 11(1), 47-66.
Erickson, H. L. (Ed.). (2006). Concept-based curriculum and instruction for the thinking classroom. Corwin Press.
Frejd, P., & Vos, P. (2022). A commentary on the special issue “Innovations in measuring and fostering mathematical modelling competencies”. Educational Studies in Mathematics, 1-14. https://doi.org/10.1007/s10649-021-10122-4
García, F. J. G., Maaß, K., & Wake, G. (2010). Theory meets practice-working pragmatically within different cultures and traditions. In R. Lesh, P. Galbraith, C. Haines & A. Hurford (Eds.), Modeling students’ modeling competencies (pp. 445–457). Springer. https://doi.org/10.1007/978-1-4419-0561-1_38
Genç, M. (2023). Identifying mathematical connections in model-eliciting activities: a case study with pre-service mathematics teachers as designers. Anadolu University Journal of Education Faculty (AUJEF), 7(4), 1093-1118. https://doi.org/10.34056/aujef.1261714
Govender, R., & Machingura, D. (2023). Ascertaining grade 10 learners’ levels of mathematical modeling competency through solving simultaneous equations word problems. Pythagoras, 44(1), 1-18. https://doi.org/10.4102/pythagoras.v44i1.728
Greefrath, G., & Siller, S. (2017). Modeling and simulation with the help of digital tools. In G. A. Stillman, W. Blum, & G. Kaiser (Eds.), Mathematical modeling and applications: Crossing and researching boundaries in mathematics education (pp. 529–539). Springer. https://doi.org/10.1007/978-3-319-62968-1_44
Güder, Y., & Gürbüz, R. (2018). STEM eğitimine geçişte bir araç olarak disiplinler arası matematiksel modelleme oluşturma etkinlikleri: Öğretmen ve öğrenci görüşleri [Interdisciplinary mathematical modeling activities as a transitional tool for STEM education: Teacher and student opinions] [Special Issue]. Adıyaman Üniversitesi Eğitim Bilimleri Dergisi, 8(2), 170-198. https://doi.org/10.17984/adyuebd.457626
Gürbüz, R., & Çalik, M. (2021). Intertwining mathematical modeling with environmental issues. Problems of Education in the 21st Century, 79(3), 412-424. https://doi.org/10.33225/pec/21.79.412
Gürbüz, R. & Doğan, M.F. (2018). Matematiksel modellemeye disiplinler arası bakış: Bir STEM yaklaşımı. Ankara: Pegem Akademi.
Gürbüz, R., Erdem, Z. Ç., Şahin, S., Temurtaş, A., Doğan, C., Doğan, M. F., Çalik, M., & Çelik, D. (2018). Bir disiplinler arası matematiksel modelleme etkinliğinden yansımalar [Reflections from an interdisciplinary mathematical modeling activity] [Special Issue]. Adıyaman Üniversitesi Eğitim Bilimleri Dergisi, 8(2), 1-22. https://doi.org/10.17984/adyuebd.463270
İnan, M. (2018). 7. sınıf öğrencilerinin matematiksel modelleme süreçlerinin incelenmesi [An investigation of 7th grade students' mathematical modeling processes] [Unpublished master’s dissertation]. Gaziosmanpaşa University.
İnan Tutkun, M., & Didiş Kabar, M. G. (2018). Ortaokullarda matematiksel modelleme: 7. sınıf öğrencilerinin “hava durumu” modelleme problemi ile deneyimi [Mathematical modeling in the middle schools: experiences of 7th grade students with the weather problem]. Adıyaman Üniversitesi Eğitim Bilimleri Dergisi, 8(2), 23-52. https://doi.org/10.17984/adyuebd.456200
Jacobs, H. H. (1989). Interdisciplinary curriculum: Design and implementation. Association for Supervision and Curriculum Development.
Johnson, B., & Christensen, L. (2014). Eğitim araştırmaları: nicel, nitel ve karma yaklaşımlar [Educational research quantitative, qualitative, and mixed approaches]. In 5th Ed., (Trans. Ed. Demir S. B). Eğiten Kitap.
Kaiser, G. (2005). Mathematical modelling in school–examples and experiences. In H.-W. Henn (Ed.), Mathematik unterricht imspannungs feld von evaluation und evolution (pp. 99–108). Franzbecker.
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modeling in mathematics education. The International Journal on Mathematics Education, 38(3), 302-310. https://doi.org/10.1007/BF02652813
Kaiser, G., & Schwarz, B. (2006). Mathematical modeling as bridge between school and university. ZDM, 38(2), 196-208. https://doi.org/10.1007/BF02655889
Kaiser, G. (2020). Mathematical modelling and applications in education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 553–561). Springer. https://doi.org/10.1007/978-3-030-15789-0_101
Karabacak, S., & Akbaş, E. E. (2024). Matematik derslerinde sınıf içi matematiksel modelleme yöntemi kullanımının öğrenci görüşleri bağlamında değerlendirilmesi. EKEV Akademi Dergisi, (99), 363-389. https://doi.org/10.17753/sosekev.1457429
Karacı, G. (2016). İlköğretim matematik öğretmen adaylarının matematiksel modelleme becerilerinin geliştirilmesine yönelik öğrenme ortamının hazırlanması ve değerlendirilmesi [The construction and evaluation of a learning environment to develop pre-service elementary mathematics teachers' mathematical modeling performance] [Unpublished master’s dissertation]. Bülent Ecevit University.
Kaya, D., & Keşan, C. (2022). İlköğretim matematik öğretmeni adaylarının matematiksel modelleme süreçleri: Su israfı örneği [Mathematical modeling processes of elementary mathematics teacher candidates: an example of waste of water]. Van Yüzüncü Yıl Üniversitesi Eğitim Fakültesi Dergisi, 19(3), 1068-1097. https://doi.org/10.33711/yyuefd.1177845
Kerpiç, A., & Bozkurt, A. (2011). Etkinlik tasarım ve uygulama prensipleri çerçevesinde 7. sınıf matematik ders kitabı etkinliklerinin değerlendirilmesi [Class 7 in the framework of event design and application principles evaluation of mathematics textbook activities]. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 8(16), 303-318.
Kohen, Z., & Orenstein, D. (2021). Mathematical modeling of tech-related real-world problems for secondary school-level mathematics. Educational Studies in Mathematics, 107(1), 71-91. https://doi.org/10.1007/s10649-020-10020-1
Korkmaz, E. (2010). İlköğretim matematik ve sınıf öğretmeni adaylarının matematiksel modellemeye yönelik görüşleri ve matematiksel modelleme yeterlikleri [Middle school prospective maths and elementary school prospective teachers' views about mathematical modeling and their mathematical modeling competency] [Unpublished doctoral dissertation]. Balıkesir University.
Lehmann, T. H. (2024). Mathematical modelling as a vehicle for eliciting algorithmic thinking. Educational Studies in Mathematics, 115(2), 151-176. https://doi.org/10.1007/s10649-023-10275-4
Lesh, R., Cramer, K., Doerr, H., Post, T., & Zawojewski, J. (2003). Model development sequences perspectives. Beyond constructivism: A models & modeling perspective on mathematics teaching, learning, and problem solving. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
Lingefjärd, T. (2006). Faces of mathematical modeling. ZDM, The International Journal On Mathematics Education,, 38(2) , 96-112. https://doi.org/10.1007/BF02655884
Lu, X., & Kaiser, G. (2022). Can mathematical modelling work as a creativity-demanding activity? An empirical study in China. ZDM–Mathematics Education, 54(1), 67-81. https://doi.org/10.1007/s11858-021-01316-4
Maaß, K. (2005). Barriers and opportunities for the integration of modeling in mathematic classes: Results of an empirical study. Teaching Mathematics and its Applications, 2 (3), 1-16. https://doi.org/10.1093/teamat/hri019
Maaß, K. (2006). What Are Modeling Competencies?. ZDM-Mathematics Education, 38(2), 113-142. https://doi.org/10.1007/BF02655885
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. Sage.
Ministry of National Education [MoNE]. (2013). Ortaokul matematik dersi öğretim programı (5, 6, 7 ve 8. sınıflar). [Mathematics curriculum: Grades 5,6,7,8]. Ankara: Talim ve Terbiye Kurulu Başkanlığı. https://ttkb.meb.gov.tr
Ministry of National Education [MoNE]. (2017). Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar). [Mathematics curriculum: Grades 1,2,3,4,5,6,7,8]. https://ttkb.meb.gov.tr
Ministry of National Education [MoNE]. (2018a). Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar). [Mathematics curriculum: Grades 1,2,3,4,5,6,7,8]. https://ttkb.meb.gov.tr
Ministry of National Education [MoNE]. (2018b), Matematik uygulamaları dersi öğretim programı (Ortaokul ve imam hatip ortaokulu 5, 6, 7 Ve 8. sınıflar) [Middle School Mathematics Applications Curriculum: Grades 5, 6, 7, 8]. https://ttkb.meb.gov.tr
National Council of Teachers of Mathematics [NCTM]. (2000). Principles and Standards for School Mathematics. Reston, VA: Author.
Niss, M. (1994). Mathematics in society. In R. Biehler, W. Scholz, R. Sträßer & B. Winkelmann, B. (Eds.) Didactics of Mathematics As A Scientific Discipline (pp. 367-378). Kluwer Academic Publishers.
Özdemir, E. (2014). Matematik eğitiminde modelleme üzerine öğrenme-öğretme uygulamaları [Learning-teaching applications on modeling in mathematics education] [Unpublished doctoral dissertation]. Balıkesir University.
Özer Keskin, Ö. (2008). Ortaöğretim matematik öğretmen adaylarının matematiksel modelleme yapabilme becerilerinin geliştirilmesi üzerine bir araştırma [A research of developing the pre-service secondary mathematics teachers? Mathematical modeling performance] [Unpublished doctoral dissertation]. Gazi University.
Özkaya, A., Bulut, S. & Şahin, G. (2023). Disiplinler arası matematiksel modelleme etkinliklerinin öğretmen adaylarının matematiksel düşünme becerileri ve matematik okuryazarlığına etkisi [The effect of interdisciplinary mathematical modeling activities on pre-service teachers' mathematical thinking skills and mathematical literacy]. Erzincan Üniversitesi Eğitim Fakültesi Dergisi, 25(4), 634-650. https://doi.org/10.17556/erziefd.1312400
Sandalcı, Y. (2013). Matematiksel modelleme ile cebir öğretiminin öğrencilerin akademik başarılarına ve matematiği günlük yaşamla ilişkilendirmelerine etkisi [The impact of teaching algebra through mathematical modeling on students' academic success and how they correlate mathematics with daily life] [Unpublished master’s dissertation]. Recep Tayyip Erdoğan University.
Sarı, O. S., & Sağırlı, M. Ö. (2021). Ortaokul matematik öğretmenlerinin matematiksel modelleme hakkındaki farkındalıkları [Awareness of secondary school mathematics teachers about mathematical modeling]. Erzincan Üniversitesi Eğitim Fakültesi Dergisi, 23(2), 335-359. https://doi.org/10.17556/erziefd.761175
Sezginsoy-Şeker, B., & Dikkartın-Övez, F. T. (2018). The integration of the 4MAT teaching model with the interdisciplinary structure: a new model proposal and test. EURASIA Journal of Mathematics, Science and Technology Education, 14(5), 1767-1790. https://doi.org/10.29333/ejmste/82986
Sol, M., Giménez, J., & Rosich, N. (2011). Project modelling routes in 12–16-year-old pupils. In G. Kaiser, W. Blum, R. B. Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling: The 14. ICMTA Study (pp. 231–240). New York, NY: Springer.
Spooner, K. (2022). What does mathematical modeling have to offer mathematics education? Insights from students' perspectives on mathematical modeling. International Journal of Mathematical Education in Science and Technology, 1-13. https://doi.org/10.1080/0020739X.2021.2009052
Sriraman, B., & Dahl, B. ( 2009). On bringing interdisciplinary Ideas to Gifted Education. In L.V. Shavinina (Ed). The International Handbook of Giftedness (pp. 1235-1256). Springer, Dordrecht.
Sriraman, B., & Lesh, R. A. (2006). Modeling conceptions revisited. ZDM, 38(3), 247-254. https://doi.org/10.1007/BF02652808
Stillman, G. (2011). Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary level. In Kaiser, G., Blum, W., Borromeo-Ferri, R., & Stillman, G. (Eds.), Trends in teaching and learning of mathematical modelling: ICTMA14 (pp. 37-46). New York: Springer. https://doi.org/10.1007/978-94-007-0910-2_18
Suh, J., Matson, K., Seshaiyer, P., Jamieson, S., & Tate, H. (2021). Mathematical modeling as a catalyst for equitable mathematics instruction: Preparing teachers and young learners with 21st century skills. Mathematics, 9(2), 162. https://doi.org/10.3390/math9020162
Şahin, N., & Eraslan, A. (2017). Cognitive modeling competencies of third-year middle school students: The reading contest problem. Necatibey Faculty of Education Electronic Journal of Science & Mathematics Education, 11(2), 19-51.
Şeker, İ. (2019). Ortaokul öğrencilerinin farklı matematiksel modelleme problemlerindeki becerilerinin incelenmesi [Investigation of the skills of different mathematical modeling problems of secondary school students] [Unpublished master’s dissertation]. Dicle University.
Tekin Dede, A. (2017). Modelleme yeterlikleri ile sınıf düzeyi ve matematik başarısı arasındaki ilişkilerin incelenmesi [Examination of the relationship between modeling competencies and class level and mathematics achievement]. İlköğretim Online, 16(3), 1201-1219. https://doi.org/10.17051/ilkonline.2017.330251
Tekin-Dede, A., & Bukova-Güzel, E. (2018). A rubric development study for the assessment of modeling skills. The Mathematics Educator, 27(2), 33-72.
Tekin Dede, A. & Yılmaz, S. (2013). İlköğretim matematik öğretmeni adaylarının modelleme yeterliklerinin incelenmesi [Examination of primary mathematics student teachers’ modeling competencies]. Turkish Journal of Computer and Mathematics Education, 4(3), 185-206.
Ural, A. (2018). Matematiksel Modelleme Eğitimi. Ankara: Anı Yayınları.
Urhan, S., & Dost, Ş. (2016). Matematiksel modelleme etkinliklerinin derslerde kullanımı: Öğretmen görüşleri [The use of mathematical modeling activities in courses: Teacher perspectives]. Elektronik Sosyal Bilimler Dergisi, 15(59). https://doi.org/10.17755/esosder.263231
Villa-Ochoa, J. A., & Berrío, M. J. (2015). Mathematical modeling and culture: An empirical study. In G. Stillman, W. Blum & M. S. Biembengut (Eds.), Mathematical modeling in education research and practice. Cultural, social and cognitive influences (pp. 241–250). Springer. https://doi.org/10.1007/978-3-319-18272-8_19
Wang, T., Zhang, L., Xie, Z., & Liu, J. (2023). How does mathematical modeling competency affect the creativity of middle school students? The roles of curiosity and guided inquiry teaching. Frontiers in Psychology, 13, 1-12. https://doi.org/10.3389/fpsyg.2022.1044580
Wei, Y., Zhang, Q., & Guo, J. (2022). Can mathematical modeling be taught and learned in primary mathematics classrooms: A systematic review of empirical studies. Education Sciences, 12(12), 923. https://doi.org/10.3390/educsci12120923
Wiegand, S., & Borromeo-Ferri, R. (2023). Promoting pre-service teachers’ professionalism in steam education and education for sustainable development through mathematical modelling activities. ZDM–Mathematics Education, 55(7), 1269-1282. https://doi.org/10.1007/s11858-023-01500-8
Yıldırım, A., & Şimşek, H. (2005). Sosyal bilimlerde nitel araştırma yöntemleri [Qualitative research methods in the social sciences] (5. Baskı). Seçkin Yayıncılık.
Zbiek, R. M., & Conner, A. (2006). Beyond motivation: Exploring mathematical modeling as a context for deepening students' understandings of curricular mathematics. Educational Studies in Mathematics, 63(1), 89-112. https://doi.org/10.1007/s10649-005-9002-4
Zihar, M., & Çiltaş, A. (2018). Matematiksel modelleme yöntemiyle 8. sınıf üslü ifadeler konusunun öğretimine yönelik bir eylem araştırması [ An action research on the teaching of the 8th grade exponentials by mathematical modeling]. Kafkas Eğitim Araştırmaları Dergisi, 5(3), 46-63. https://doi.org/10.30900/kafkasegt.500004

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik Eğitimi

Bölüm

Araştırma Makalesi

Yazarlar

Zülküf Kılıç ^*
0000-0003-4571-6910
Türkiye

Kemal Özgen
0000-0002-7015-6452
Türkiye

Yayımlanma Tarihi

30 Aralık 2024

Gönderilme Tarihi

22 Nisan 2024

Kabul Tarihi

12 Aralık 2024

Yayımlandığı Sayı

Yıl 1970 Sayı: 62

DOI

https://doi.org/10.53444/deubefd.1472220

IZ

https://izlik.org/JA45CR79KZ

APA

Kılıç, Z., & Özgen, K. (2024). Mathematical Modeling Competencies and Opinions of Middle School Students in Interdisciplinary Modeling Tasks. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, 62, 2904-2946. https://doi.org/10.53444/deubefd.1472220

Disiplinler Arası Modelleme Etkinliklerinde Ortaokul Öğrencilerinin Matematiksel Modelleme Yeterlikleri ve Görüşleri

Öz

Anahtar Kelimeler

Mathematical Modeling Competencies and Opinions of Middle School Students in Interdisciplinary Modeling Tasks

Abstract

Keywords

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

DOI

IZ

Kaynak Göster