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FEN BİLGİSİ ÖĞRETMEN ADAYLARININ MATEMATİKSEL MODELLEME YAPABİLME BECERİLERİNİN GELİŞİMİ

Developing Prospective Science Teachers’ Mathematical Modelling Performances

Journal Name:

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DOI: 
http://dx.doi.org/10.14582/DUZGEF.456
Abstract (2. Language): 
In this study, prospective science teachers’ mathematical modelling performances were investigated at teaching one and two dimensional motion units with the help of mathematical modelling. For this aim, prospective science teachers and instructor’s guide materials developed for one and two dimensional motion units was applied to 23 prospective science teachers and data from 12 prospective science teachers attending all activities was analyzed for this research using content analysis. Prospective science teachers’ materials were examined using a rubric consisted of true, partially true, false and empty categories then incorporated into categories determined in rubric, and prospective science teachers’ performances were evaluated regarding the point they got from their answers at every stage of mathematical modelling. As a result of the study, it is determined that prospective science teachers showed improvements at all stages of mathematical modelling activities in the course of time, and it is concluded that those who were higher achievers at real world problem stage were performed well at the other stages. In addition, it is decided that mathematical modelling studies have positive contribution to prospective science teachers to make connection between real life and Physics.
Abstract (Original Language): 
Bu çalışmada, matematiksel modelleme kullanılarak Doğrusal ve Düzlemde Hareket ünitelerinin öğretiminde fen bilgisi öğretmen adaylarının matematiksel modelleme yapabilme becerilerindeki gelişimleri incelenmiştir. Bu amaç doğrultusunda çalışmada Doğrusal ve Düzlemde Hareket ünitelerine yönelik geliştirilen öğretmen adayı ve öğretim elemanı rehber materyalleri 23 öğretmen adayına uygulanmış ve bu çalışma kapsamında bütün etkinliklere katılan 12 öğretmen adayının verileri içerik analizi ile analiz edilmiştir. Doğru, kısmen doğru, yanlış ve boş kategorilerilerinden oluşan bir rubrik ile incelenen öğretmen adayı materyalleri kendi içerisinde benzer kategoriler altında toplanmış, ardından rubrikte belirlenen kategoriler içerisine dahil edilmiş ve adaylar aldıkları toplam puanlar ve her bir aşama için verdikleri cevaplar açısından değerlendirilmiştir. Çalışma sonucunda öğretmen adaylarının etkinlikler ilerledikçe çalışmada kullanılan matematiksel modelleme etkinliklerinin tüm aşamalarında gelişim gösterdikleri belirlenmiş ve gerçek dünya problemi aşamasında başarılı olan adayların diğer aşamaları kolaylıkla yapabildikleri sonucuna ulaşılmıştır. Bunun yanında öğretmen adaylarının günlük yaşam- fizik bağını kurmalarında matematiksel modelleme çalışmalarının olumlu katkısı olduğu sonucuna varılmıştır.
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REFERENCES

References: 

Ang, K.C. (2010). Teaching and learning mathematical modelling with
technology, Proceedings of the 15th Asian Technology
Conference in Mathematics, Kuala Lumpur, Malaysia.
Ashmann, S., Zawojewski, J. & Bowman, K. (2006). Integrated
mathematics and science teacher education courses: a modelling
perspective, Canadian Journal of Science, Mathematics &
Technology Education, 6, 2, 189-200.
Bergman-Ärlebäck, J. (2009). On the use of realistic fermi problems for
introducing mathematical modelling in school, The Montana
Mathematics Enthusiast, 6, 3, 331-364.
Barquero, B., Bosch, M. & Gascón, J. (2007). Using research and study
courses for teaching modelling at university level, In M. Bosch
(Ed.), Proceedings of the V Congress of the European Society
for Research in Mathematics Education (CERME 5), 2050-2059,
Barcelona.
Biembengut, M., S. & Hein N. (2007). Mathematical modeling:
implications for teaching, 13th Conference of the International
Community of Teachers of Mathematical Modeling and
Applications, Indiana University, Bloomington, USA.
Blomhøj, M. (2007). Developing mathematical modelling competency
through problem based project work - experiences from Roskilde
University, Ninth International History, Philosophy & Science
Teaching Conferance,
http://www.ucalgary.ca/ihpst07/proceedings/IHPST07%20paper
s/125%20Blomhoj.pdf [09.05.2011]
Blomhøj, M. & Jensen, T. H. (2003). Developing mathematical
modelling competence: conceptual clarification and educational
planning, Teaching Mathematics and its Applications, 22, 3,
123-139.
Blomhoj, M. & Kjeldsen, T. (2007). Learning the integral concept
through mathematical modelling. In: Pitta-Pantazi, D &
Philippou, G. (Eds): CERME 5 – Proceedings of the Fourth
Zeynep BAŞKAN TAKAOĞLU - Nedim ALEV 157
Congress of the European Society for Research in Mathematics
Education, 2070-2079.
Blum, W. & Borromeo-Ferri, R. (2009). Mathematical modelling: can it
be taught and learnt?, Journal of Mathematical Modelling and
Application, 1, 1, 45-58.
Bukova- Güzel, E. ve Uğurel, I. (2010). Matematik öğretmen
adaylarının analiz dersi akademik başarıları ile matematiksel
modelleme yaklaşımları arasındaki ilişki, Dokuz Eylül
Üniversitesi Eğitim Fakültesi Dergisi, 29, 1, 69-90.
Dervişoğlu S. ve Soran H. (2003). Orta öğretim biyoloji eğitiminde
disiplinler arası öğretim yaklaşımının değerlendirilmesi,
Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 25, 48-57.
Diezmann, C. M. (2002). Enhancing students' problem solving through
diagram use, Australian Primary Mathematics Classroom, 7, 3,
4-8.
Doerr, H. M. & Tripp, J. S. (1999). Understanding how students
develop mathematical models, Mathematical Thinking and
Learning, 1, 3, 231 - 254.
Doruk, B. K. (2010). Matematiği günlük yaşama transfer etmede
matematiksel modellemenin etkisi, Doktora Tezi, Hacettepe
Üniversitesi, Sosyal Bilimler Enstitüsü, Ankara.
English, L. D. (2003). Mathematical modelling with young learners, In
S. J. Lamon, W. A., Parker & S.K.Houston (Eds.), Mathematical
modelling: a way of life (3-18). Chichester: Horwood
Publishing.
Friesel, A. & Nicolakis, G. A. (2006). Mathematical modeling as a tool
to improve learning of mathematics, 9th International
Conference on Engineering Education, July 23 – 28,
http://icee.usm.edu/icee/conferences/icee2006/papers/3478.pdf
[05.05.2011]
Haynie, W.J. & Greenberg, D. (2001). Genetic disorders: an integrated
curriculum project, The Technology Teacher, 60, 6, 10-13.
Heck. A. (2010). Modelling in cross-disciplinary authentic student
research projects, International Journal for Technology in
Mathematics Education, 17, 3, 115-120.
Hickman, F.R. (1986). Mathematical Modelling in Physics, Physics
Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 24(2015) 122-160 158
Education, 21, 173–180.
Ikahata, S. (2007). How do novice students in mathematical modelling
estimate assumptions?, 13th Conference of the International
Community of Teachers of Mathematical Modeling and
Applications. Indiana University Bloomington, USA.
Klymchuk S., Zverkova T., Gruenwald N. & Sauerbier G. (2008).
Increasing engineering students’ awareness to environment
through innovative teaching of mathematical modelling,
Teaching Mathematics and its Applications, 27, 3, 123- 130.
Lin, F.L. & Yang, K.L. (2005). Distinctive characteristics of
mathematical thinking in non-modelling friendly environment,
Teaching Mathematics Applications, 24, 97-106.
Maaß, K. (2005). Barriers and opportunities for the integration of
modelling in mathematics classes: results of an empirical study,
Teaching Mathematics and its Application, 24, 2-3, 61–74.
Martinez-Luaces V. (2005). Engaging secondary school and university
teachers in modelling: some experiences in South American
Countries, International Journal of Mathematics Education and
Science Technology, 36, 2–3, 193–205.
Maull W. & Berry J. (2001). An investigation of student working styles
in a mathematical modelling activity, Teaching Mathematics
And its Applications, 20, 2, 78, 88.
Michelsen, C. (2006). Functions: a modelling tool in mathematics and
science, Zentralblatt für Didaktik der Mathematik, 38, 3, 269-
280.
Munier, V. & Merle, H. (2009). Interdisciplinary Mathematics–Physics
approaches to teaching the concept of angle in elementary
school, International Journal of Science Education, 31, 14,
1857–1895.
Nuokawa, K. (2006). Usıng drawings and generating ınformation in
mathematical problem solving processes, Eurasia Journal of
Mathematics, Science and Technology Education, 2, 3, 33-54.
Ogunsola-Bandele, M. F. (1996). Mathematics in Physics - Which way
forward: the influence of mathematics on students' attitudes to
the teaching of Physics, Paper presented at the Annual Meeting
of the National Science Teachers Association, Nigeria.
Zeynep BAŞKAN TAKAOĞLU - Nedim ALEV 159
Özer-Keskin, Ö. (2008). Ortaöğretim Matematik öğretmen adaylarının
matematiksel modelleme yapabilme becerilerinin geliştirilmesi
üzerine bir araştırma, Doktora Tezi, Gazi Üniversitesi, Eğitim
Bilimleri Enstitüsü, Ankara.
Özsevgeç, T. (2007). İlköğretim 5. sınıf kuvvet ve hareket ünitesine
yönelik 5E modeline göre geliştirilen rehber materyallerin
etkililiklerinin belirlenmesi, Doktora Tezi, Karadeniz Teknik
Üniversitesi, Fen Bilimleri Enstitüsü, Trabzon.
Pantziara, M., Gagatsis, A. & Elia, I. (2009). Using diagrams as tools
for the solution of non-routine Mathematical problems,
Education Study of Mathematics, 72, 39–60.
Parasuk, R. M. & Beyranedand, M. L. (2010). Algebra students' ability
to recognize multiple representations and achievement,
International Journal for Mathematics Teaching and Learning,
http://www.cimt.plymouth.ac.uk/journal/panasuk.pdf
[05.05.2011].
Prins G., T., Bulte, A. M. W., Driel J. H. V. & Pilot, A. (2009).
Students’ involvement in authentic modelling practices as
contexts in Chemistry education, Research Science Education,
39, 681–700.
Saastamoinen, K. (2005). Mathematical modelling course using the
internet, 2th International Conference on Electrical
Engineering/Electronics, Computer, Telecommunications and
Information Technology, http://www.ectithailand.
org/assets/papers/273_pub_24.pdf [14.03.2011]
Saglam-Arslan, A. & Arslan, S. (2010). Mathematical models in
Physics: A study with prospective Physics teacher, Scientific
Research and Essays 5, 7, 634-640.
Taşkın-Can, B., Cantürk Günhan, B. ve Öngel E.S. (2005). Fen Bilgisi
öğretmen adaylarının fen derslerinde matematiğin kullanımına
yönelik özyeterlik inançlarının incelenmesi, Pamukkale
Üniversitesi Eğitim Fakültesi Dergisi,
http://egitimdergi.pamukkale.edu.tr/makale/sayı17/5-
FEN%20BİLGİSİ%20ÖĞRETMEN%20ADAYLARININ%20F
EN%20DERSLERİNDE%20MATEMAT….pdf [7.03.2007]
Tinker, M.H. & Thomson, J.J. (2003). Teaching mathematics to
physicists in the UK – FLAP and PPLATO, Europhysics News,
Vol. 34 No. 5
Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 24(2015) 122-160 160
http://www.europhysicsnews.com/full/23/article4/article4.html
[7.03.2008]
Tipi, N. S. (2009). Teaching and assessing supply chain modelling
modules in higher education, The International Journal of
Learning, 16, 3, 283-292.
Wallace, M. L. & Ellerton, N. F. (2004). Language & Belief Factors in
Learning & Teaching Mathematics & Physics: a study of three
teachers, Psychology of Mathematics & Education of North
America; Annual Meeting, Toronto, CA, 1, 7.
White, A. (2000). Mathematical modelling and the general mathematics
syllabus, Curriculum Support for Teaching in Mathematics, 5, 3,
7-12.
Yıldırım, A. (1996). Disiplinlerarası öğretim kavramı ve programlar
açısından doğurduğu sonuçlar, Hacettepe Üniversitesi Eğitim
Fakültesi Dergisi 12, 89-94.
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.

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