### EXAMINING OF MODEL ELICITING ACTIVITIES DEVELOPED BY MATHEMATICS STUDENT TEACHERS

#### Abstract

The purpose of this study is to examine the model eliciting activities developed by the mathematics student teachers in the context of the principles of the model eliciting activities. The participants of the study conducted as a case study design were twenty one mathematics student teachers working on seven groups. The data collection tools were the developed model eliciting activities and semi-structured interviews. The model eliciting activities and the transcriptions of the interviews were deeply analyzed based on the principles. The results showed that while one group’s activity was not a model eliciting activity, the ones of two groups were appropriate to the all principles. Other model eliciting activities were completely or partly appropriate to the principles. It was seen that the reality and model construction principles were binding role in developing these activities. The self-assessment and construct documentation principles were directly related to each other. The construct share ability and reusability, and effective prototype principles were the principles which were associated with the others and could be elicited effectively by tracking future implementations.

#### Keywords

#### References

Bukova Güzel, E., Tekin Dede, A., Hıdıroğlu, Ç.N., Kula Ünver, S., & Özaltun Çelik, A. (2016). Matematik Eğitiminde Matematiksel Modelleme [Mathematical Modelling in Mathematics Education]. Ankara: Pegem Akademi.

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.

Chamberlin, S.A., & Moon, S.M. (2008). How does the problem based learning approach compare to the model-eliciting activity approach in mathematics?. International Journal of Mathematics Teaching and Learning, 9(3), 78-105.

Chamberlin, S.A. (2002). Analysis During and After Model-eliciting Activities: A Comparison of Gifted and General Population Students. Unpublished Dissertation. Indiana: Purdue University.

Deniz, D., & Akgün, L. (2016). The sufficiency of high school mathematics teachers’ to design activities appropriate to model eliciting activities design principles. Karaelmas Journal of Educational Sciences, 4, 1-14.

Edo, S.I., Hartono, Y., & Putri, R.I.I. (2013). Investigating secondary school students’ difficulties in modeling problems PISA-model level 5 and 6. Journal on Mathematics Education, 4(1), 41-58.

English, L.D. (2009). Promoting interdisciplinarity through mathematical modelling. Zentralblatt für Didaktik der Mathematik, 41, 161-181.

Eraslan, A., & Kant, S. (2015). Modeling processes of 4th-year middle-school students and the difficulties encountered. Educational Sciences: Theory & Practice, 15(3), 809-824.

Fosnot, C.T., & Perry, R.S. (2005). Constructivism: A psychological theory of learning. In C. T. Fosnot (Ed.), Constructivism: Theory, Perspectives and Practice (pp. 8−38), 2nd ed. New York: Teacher's College Press.

Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. Zentralblatt für Didaktik der Mathematik, 38(3), 302-310.

Lesh, R. (2005). Trends in the evolution of models & modeling perspectives on mathematical learning and problem solving. Zentralblatt für Didaktik der Mathematik, 37(6), 487-489.

Lesh, R.A., & Zawojewski, J.S. (2007). Problem solving and modeling. In F. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning: A Project of the National Council of Teachers of Mathematics (pp. 763– 804). Charlotte, NC: Information Age Publishing.

Lesh, R., Hoover, M., Hole, B., Kelly, A., & Post, T. (2000). Principles for developing thought revealing activities for students and teachers. In A. Kelly & R. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 591-646). Mahwah, NJ: Lawrence Erlbaum.

Lesh, R., & Caylor, B. (2007). Introduction to the special issue: Modeling as application versus modeling as a way to create mathematic. International Journal of Computers for Mathematical Learning, 12(3), 173-194.

Lesh, R., & Doerr, H.M. (2003). Foundations of a models and modeling perspective on mathematics teaching, learning, and problem solving. . In R. Lesh & H. Doerr (Eds.), Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching (pp. 3-33). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

Lesh, R., & Harel, G. (2003). Problem solving, modeling and local conceptual development. Mathematical Thinking and Learning: An International Journal, 5(2/3), 157-190.

Miles, M.B., & Huberman, M.A. (1994). Qualitative Analysis: An Expanded Sourcebook. Thousand Oaks, CA: Sage.

Mousoulides, N. (2007). A modeling perspective in the teaching and learning of mathematical problem solving. Unpublished Dissertation. Cyprus: University of Cyprus.

Mousoulides, N., Christou, C., & Sriraman, B. (2008). From problem solving to modelling-A meta-analysis. Nordic Studies in Mathematics Education, 12(1), 23-47.

Prahmana, R.C.I., & Suwasti, P. (2014). Local instruction theory on division in mathematics GASING. Journal on Mathematics Education, 5(1), 17-26.

Şahin, N., & Eraslan, A. (2016). Modeling processes of primary school students: The crime problem. Education and Science, 41(183), 47-67.

Şahin, N., & Eraslan, A. (2017). Middle school students’ modeling experiences: A paper plane contest problem. Eğitim, Bilim ve Teknoloji Araştırmaları Dergisi, 1(1), 34-44.

Yin, R. K. (1987). Case Study Research Design and Methods. London: Sage Publication Inc.

Yu, S., & Chang, C. (2009). What did Taiwan mathematics teachers think of model-eliciting activities and modeling? 14. International Conference on the Teaching of Mathematical Modeling and Applications, ICTMA-14. Hamburg: University of Hamburg.

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