Buradasınız

MATEMATİK ÖĞRETMEN ADAYLARININ MATEMATİKSEL MODELLEME BECERİLERİNİN İNCELENMESİ

Examining Prospective Mathematics Teachers' Abilities of Mathematical Modelling

Journal Name:

Publication Year:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The purpose of this study is to examine the prospective mathematics teachers' mathematical modeling abilities and the difficulties encountered. 38 prospective primary mathematics teachers attended to the research. Two problems concerning theoretical and empirical modelling were given to the students. Descriptive analysis was conducted in analysis the data. The students' modelling abilities were analyzed with regard to the stages in mathematical modelling circle such as "understanding the problem", "selecting the variables", "setting and interpretting the mathematical model". It was determined that most of the students were not been successful in understanding the real life problem given, expressing mathematically, producing a mathematical model, interpretating the model, using algebra instead of arithmetic, transferring their some mathematical knowledge into the process of the solution of the real life problem.
Abstract (Original Language): 
Bu çalışmanın amacı, matematik öğretmen adaylarının matematiksel modelleme becerilerini ve karşılaştıkları zorlukları incelemektir. Araştırmaya, ilköğretim matematik eğitimi ana bilim dalında bulunan 38 öğretmen adayı katılmıştır. Öğrencilere teorik ve deneysel modellemeye yönelik iki problem durumu verilmiştir. Verilerin analizinde betimsel analiz yapılmıştır. Öğrencilerin modelleme becerileri, Berry ve Houston (1995) tarafından ortaya konan matematiksel modelleme süreci temel alınarak "Problemi Anlama", "Değişkenleri Seçme", "Matematiksel Modeli oluşturma ve Yorumlama" açısından incelenmiştir. Göze çarpan bulgular bakımından; öğrencilerin büyük bir çoğunluğunun verilen gerçek yaşam problemi anlamada, matematiksel olarak ifade etmede, matematiksel bir model üretmede, modeli yorumlamada, aritmetik yerine cebiri kullanmada, sahip oldukları birtakım matematiksel bilgileri gerçek yaşam probleminin çözümü sürecine transfer etmede önemli ölçüde başarılı olamadıkları belirlenmiştir.
109
140

REFERENCES

References: 

Ang, K. C.
(2001)
. Teaching mathematical modelling in Singapore
schools. The Mathematics Educator, 6(1),63-75. Angell, C., Kind, P. M., Henriksen, E. K. & Guttersrud, 0. (2008). An
empirical-mathematical modelling approach to upper secondary
physics. Physics Education, 43(3), 256-264 Berry, J., & Houston, K. (1995). Mathematical Modelling. Bristol: J. W.
Arrowsmith Ltd.
Berry, J. & Nyman, M. A.(1998). Introducing mathematical modelling skills to students and the use of posters in assestment. Primus, 8(2), 103-115.
Blomhoj, M. & Kjeldsen, T. H. (2006). Teaching mathematical modelling through project work. ZDM, 38 (2), 163-177.
1 3 5 A.Ural / Matematik Öğremen Adaylarının Matematiksel Modelleme.
Blum, W., Galbraith, P., Henn, H-W., & Niss, M. (Eds.) (2007).
Modelling and applications in mathematics education: New
ICMI studies series No. 10. New York: Springer. Blum, W., & Ferri, B. R. (2009). Mathematical modelling: Can it be
taught and learnt? Journal of Mathematica Modelling and
Application, 1 (1), 45-58. Burghes, D. N. & Huntley, L. (1982). Teaching mathematical modeling-
reflections and advice. International Journal of Mathematical
Education in Science and Technology, 13 (6), 735-754. Christiansen, I. (2001) The effect of task organisation on classroom
modelling activities. In J. Matos, W.Blum, K. Houston, & S.
Carreira (Eds.), Modelling and Mathematics Education, ICTMA
9: Applications in Science and Technology (pp. 311-320).
Chichester: Horwood Publishing. Crouch, R., & Haines, C. (2004). Mathematical modelling: transitions
between the real world and the mathematical model. Int. j. math.
educ. sci. technol., 35 (2), 197-206. Doruk, B. K. (2010). Matematiği Günlük yaşama Transfer Etmede
MatematikselModellemenin Etkisi. Yayınlanmamış Doktora
Tezi. Hacettepe Üniversitesi, Ankara. English, L. & Watters, J. (2004). Mathematical Modeling in the Early
School Years. Mathematics Education Research Journal , 16(3),
59-80.
Erdoğan, A.
(2010)
. Primary teacher education students'ability to use functions as modeling tools. Procedia Social and Behavioral Sciences, 2, 4518-4522.
136
Dicle
Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 23(2014) 110-141
Galbraith, P. & Stillman, G. (2001). In J. F. Matos, W. Blum, S. K.
Houston, & S. P. Carreira (eds), Modelling and Mathematics,
(pp. 300). Chichester: Horwood Publishing. Güzel, E. B. ve Uğurel, I. (2010). Matematik öğretmen adaylarının
analiz dersi akademik başarıları ile matematiksel modelleme
yaklaşımları arasındaki ilişki. OndokuzMayıs Üniversitesi
Eğitim Fakültesi Dergisi,
29 (1), 69-90. Haines, C., Crouch, R. & Davies, J (2001). Understanding students'
modelling skills. In J. Matos, W. Blum, K. Houston, & S.
Carreira
(Eds.)
, Modelling and Mathematics Education, ICTMA
9: Applications in Science and Technology (pp. 366-380).
Chichester: Horwood Publishing. Hodgson, T. (1997). On the use of open-ended, real-world problems. In:
K. Houston, W. Blum, I. Huntley, N.T. Neill, (Eds.), Teaching
and learning mathematical modelling. (pp.211-218). Chichester:
Albion publishing limited. Ikeda, T. & Stephens, M. (2001). The effects of students'discussion in
mathematical modelling. In J.F. Matos, W. Blum, S.K. Houston
& S.P. Carreira (eds.), Modelling and Mathematics Education,
381- 400. Chichester: Horwood Publishing. Kaiser, G. (1986). Anwendungen im Mathematik-unterricht, Vol.2, Bad
Salzdetfurth: Franzbecker. Kaiser, G. (2005). Mathematical Modelling in School—Examples and
Experiences. In Kaiser, G. & Henn, H.-W.
(Eds.),Mathematikunterricht im Spannungsfeld von Evaluation
und Evolution (pp. 99-108) Hildesheim: Franzbecker.
1 3 7 A.Ural / Matematik Öğremen Adaylarının Matematiksel Modelleme.
Kaiser, G. (2007). Modelling and modelling competencies in school. In
C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.),
Mathematical modelling, ICTMA 12: Education, engineering and economics: proceedings from the twelfth International Conference on the Teaching of Mathematical Modelling and Applications (pp. 110-119). Chichester: Horwood.
Kaiser, G. & Schwarz, B. (2006). Mathematical modelling as bridge between school and university. ZDM, 38 (2), 196-208.
Keskin, Ö. Ö. (2008). Ortaöğretim Matematik Öğretmen Adaylarının
Matematiksel Modelleme Yapabilme Becerilerinin Geliştirilmesi Üzerine Bir Araştırma. Yayınlanmamış Doktora Tezi. Gazi üniversitesi, Ankara.
Klymchuk, S., & Zverkova, T. (2001). In J. F. Matos, W. Blum, S. K. Houston, & S. P. Carriera (eds), Modelling and Mathematics Education, (pp. 227). Chichester: Horwood Publishing.
Leiss, D.,
Schukajlow
, S., Blum, W., Messner, R., & Pekrun, R. (2010). The Role of the Situation Model in Mathematical Modelling— Task Analyses, Student Competencies, and Teacher Interventions. J Math Didakt, 31, 119-141.
Lesh, R. A., & Zawojewski, J. S. (2007). Problem solving and
modeling. In F. Lester (Ed.), Second Handbook of research on mathematics teaching and learning (pp.763-804). Greenwich, CT: Information Age Publishing.
Lingefjârd, T
(2006). Faces of mathematical modeling. Zentralblatt für Didaktik der Mathematik, 38 (2), 96-112.
Lingefjârd, T.
&
Holmquist, M. (2001). Mathematical modeling and technology in teacher education—Visions and reality. In J.
138 Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 23(2014) 110-141
Matos, W. Blum, K. Houston, S. Carreira (Eds.)Modelling and Mathematics Education ICTMA 9: Applications in Science and Technology (pp. 205-215). Horwood: Chichester. Maafi, K. (2006). What are modelling competencies? ZDM, 38 (2), 113¬142
Mousoulides, N. & English, L. D. (2008). Modeling with data in Cypriot and Australian classrooms. The 32nd International Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, (pp 423-430). Morelia, Mexico.
Niss, M. (2001). University mathematics based on problem-oriented student projects: 25 years of experiences with the Roskilde model. In D. Holton (ed.): The teaching and learning of mathematics at university level: an ICMI study, (pp. 405-422). Dordrecht: Kluwer Academic Publishers.
Niss, M. (2003). Mathematical Competencies and the Learning of Mathematics: The Danish KOM Project. In: Gagatsis, A./Papastavridis, S. (Eds), 3rd Mediterranean Conference on Mathematical Education. Athens: The Hellenic Mathematical Society, 115-124.
OECD (2007). PISA 2006 - Science Competencies for Tomorrow's
World, Vol. 1&2. Paris: OECD
Olkun, S.,Şahin, Ö., Akkurt, Z., Dikkartın, F.T. ve Gülbağcı, H. (2009). Modelleme Yoluyla Problem Çözme ve Genelleme: İlköğretim Öğrencileriyle Bir Çalışma. Eğitim ve Bilim, 34, 65-73.
Ostler, E. (2000). Mathematical Modeling: Some Ideas and Suggestions for Pre-service Teacher Preparation. Issues in the
1 3 9 A.Ural / Matematik Öğremen Adaylarının Matematiksel Modelleme.
Undergraduate Mathematics Preparation of School Teachers: The Journal, 2, 1-10. Rita Borromeo Ferri, R. (2010). On the Influence of Mathematical Thinking Styles on Learners' Modeling Behavior. J Math
Didakt, 31, 99-118.
Tanner, H., Jones, S. (1995): Developing Metacognitive Skills in
mathematical modelling - a socio-contructivist interpretation. In C. Sloyer, W. Blum, I. Huntley, (Eds.), Advances and perspectives in the teaching of mathematical modelling and applications (pp.61-70). Yorklyn: Water Street Mathematics.
Türker, Sağlam ve
Uma
y (2010). Preservice teachers'performances at mathematical modeling process and views on mathematical modeling. Procedia Social and Behavioral Sciences, 2, 4622¬4628.
Ural, A. (2006).
Fonksiyo
n öğreniminde kavramsal zorluklar. Ege
Eğitim Dergisi, 7 (2), 75-94.
Ural, A. (2012).
Fonksiyo
n kavramı: tanımsal bilginin kavramın çoklu temsillerine transfer edilebilmesi ve bazı kavram yanılgıları, Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 31, 91-103.
Verschaffel, L., De Corte, E. & Borghart, I. (1997). Pre-service
teachers'conceptions and beliefs about the role of real-world knowledge in mathematical modeling of school word problems. Learning and Instruction, 7 (4), 339-359.

Thank you for copying data from http://www.arastirmax.com