Mathematical modeling from the eyes of preservice teachers

Referencias

Asempapa, R. S. (2015). Mathematical modeling: Essential for elementary and middle school students. Journal of Mathematics Education, 8(1), 16-29. Biccard, P., & Wessels, D. C. (2011). Documenting the development of modelling competencies of Grade 7 mathematics students. In G. Kaiser, W. Blum, R. Borromeo Ferri ve G. Stillman (Eds.). Trends in Teaching And Learning of Mathematical Modelling (pp. 375-383). Springer Netherlands. http://doi.org/10.4102/pythagoras.v32i1.20 Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do?. In The proceedings of the 12th international congress on mathematical education (pp. 73-96). Springer, Cham. Blum, W. & Borromeo, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58. http://gorila.furb.br/ojs/index.php/ modelling/article/view/1620 Blum, W., & Leiβ, D. (2007). How do students and teachers deal with mathematical modelling problems? In C. Haines, P. Galbraith, W. Blum, S. Khan (Eds.), Mathematical Modelling (ICTMA 12): Education, Engineering and Economics, (pp. 222-231). http://doi.org/10.1533/ 9780857099419.5.221 Borromeo, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM – The International Journal on Mathematics Education, 38 (2), 86-95. https://doi.org/10.1007/BF02655883 Borromeo, R. (2013). Mathematical Modeling - The Teacher’s Responsibility. Journal of Mathematics Education at Teachers College. Borromeo, R. (2018). Key Competencies for Teaching Mathematical Modeling. In Learning How to Teach Mathematical Modeling in School and Teacher Education (pp. 1-12). Springer, Cham. Borromeo Ferri & Blum, W. (2013, February). Barriers and motivations of primary teachers for implementing modelling in mathematics lessons. In Eighth Congress of European Research in Mathematics Education (CERME 8), Antalya, Turkey. Blum, W. & Borromeo, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58. http://gorila.furb.br/ojs/ index.php/modelling/article/view/1620 Borromeo, R., & Blum, W. (2009). Mathematical modelling in teacher education–Experiences from a modelling seminar. Cerme 6 –Working Group 11, 2046 –2055. Retrieved from http://fractus.uson.mx/Papers/CERME6/wg11.pdf#page=7 Burkhardt, H. (2006). Modelling in mathematics classrooms: reflections on past development and the future. Zentralblatt für Didaktik der Mathematik, 38(2), 178–195. https://doi.org/ 10.1007/BF02655888 Chamberlin, M. (2004). Design Principles for Teacher Investigations of Student Work. Mathematics Teacher Education and Development, 6, 52-65. https://eric.ed.gov/?id=EJ852386 sayfasýndan eriþilmiþtir. Chamberlin, S. A., & Moon, S. M. (2005). Model-Eliciting Activities as a Tool to Develop and Identify Creatively Gifted Mathematicians. The Journal of Secondary Gifted Education, 17(1), 37-47. http://doi.org/10.4219/jsge-2005-393 Common Core State Standards Initiative (CCSSI) (2010). Common Core State Standards for Mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of ChiefState School Officers. http://www.corestandards.org/wp-content/ uploads/Math_Standards.pdf Denzin, N. K. (1978). The research act: A theoretical introduction to research methods. New Brunswick, NJ: Aldine Transaction. Doerr, H. M., & English, L. (2003). A modeling perspective on students’ mathematical reasoning about data. Journal for Research in Mathematics Education, 34(2), 110–136. English, L. (2003). Mathematical modelling with young learners. In Mathematical Modelling (pp. 3-17). Woodhead Publishing. English, L. D., & Watters, J. (2004). Mathematical modelling with young children. 28th Conference of the International Group for the Psychology of Mathematics Education, 2, 335–342. Ersoy, Y. (2006). Ýlköðretim matematik öðretim programýndaki yenilikler-I: Amaç, içerik ve kazanýmlar. Ýlköðretim online, 5(1), 30-44. Frejd, P. & Ärlebäck, J. (2011). First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies. In: Kaiser, G. et al. (Eds). Trends in Teaching and Learning of Mathematical Modelling (ICTMA 14). Dordrecht: Springer, 407-416. Galbraith, P., & Stillman, G. (2006). A framework for identifying student blockages during transitions in the modelling process. ZDM - International Journal on Mathematics Education, 38(2), 143–162. http://doi.org/10.1007/BF02655886 Guba, E. L., & Lincoln, Y. (1994). Competing paradigms in qualitative research. Handbook of cualitative research. California: Sage, 105-117. Herget, W. (2000). ‘Pictorial Problems’- One question, but Many Ways, and Many Different Answers. Weigand H, Neville N, Peter-Koop A., Reiss K., Törner, G., Wollring, B. (ed). Developments in mathematics education in german speaking countries(76-87). Gesellschaft für Didaktik der Mathematik (GDM). Herget, W., Jahnke, T., & Kroll, W. (2001). Produktive Aufgaben für den Mathematikunterricht in der Sekundarstufe I. Cornelsen. Kunter, M. & Voss, T. (2013). The Model of Instructional Quality in COACTIV: A Multicriteria Analysis. In: Kunter, M., Baumert, J., Blum, W. et al. (Eds), Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers – Results from the COACTIV Project. New York: Springer, 97-124. Lesh, R., Carmona, G., & Post, T. (2002). Models and modeling. In D. Mewborn, P. Sztajn, D. White, H. Wiegel, R. Bryant, et al. (Eds.), Proceedings of the 24th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 89–98). Columbus, OH: ERIC Clearinghouse Lesh, R., & Doerr, H. M. (2003). Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning and Teaching. Routletge. Lesh, R. & Sriraman, B. (2005a). John Dewey Revisited - Pragmatism and the models-modeling perspective on mathematical learning. In A. Beckmann et al. (Eds.), Proceedings of the 1st International Symposium on Mathematics and its Connections to the Arts and Sciences (pp. 32-51). May 18-21, 2005, Pedagogical University of Schwaebisch Gmuend. Hildesheim: Franzbecker. Lesh, R., & Sriraman, B. (2005b). Mathematics education as a design science. ZDM, 37(6), 490-505. Lesh, R., Zawojewski J. S., & Carmona G. (2003). What Mathematical Abilities Are Needed for Success Beyond School in a Technology-Based Age of Information? In R. Lesh & H Doerr (Eds)., Beyond Constructivism Models and modeling perspectives on mathematics problem solving, learning, and teaching Mahwah, NJ: Lawrence Erlbaum. Maaß, K. (2006). What are modelling competencies? ZDM - International Journal on Mathematics Education, 38(2), 113–142. http://doi.org/10.1007/BF02655885 Maaß, K. (2007). Modelling taks for low achieving students. First results of an empirical study. In D. Pitta-Pantazi & G. Philippou (Eds.), CERME 5 – Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education (pp. 2120–2129). Larnaca: University of Cyprus. Manouchehri, A. (2017). Implementing mathematical modelling: The challenge of teacher educating. In Mathematical Modelling and Applications (pp. 421-432). Springer, Cham. Merriam S. B. (2013). Nitel Araþtýrma Desen ve Uygulama Ýçin Bir Rehber (Selahattin Turan, Çev.). Ankara : Nobel. Ministry of National Education [MoNE]. (2013a). Middle School Mathematics Course (Grades 5-8). Curriculum. Ankara. Ministry of National Education [MoNE]. (2013b). Secondary School and Imam Hatip Secondary School Mathematics Applications Course (Grades 5, 6, 7 and 8) Teaching Program. Ankara. Ministry of National Education [MoNE]. (2018). Secondary Mathematics Course (Grades 9-12). Curriculum. Mousoulides, N. G., (2009). Mathematical modeling for elementary and secondary school teachers. In Kontakos, A. (Ed), Research & Theories in Teacher Education. Greece: University of the Aegean. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author. Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H-W. Henn & M. Niss. (Eds.) (2007), Modelling and Applications in Mathematics Education. The 14th ICMI Study (pp 3–32). New York, NY: Springer Science + Business Media, LLC. OECD (2012). PISA 2012 Assessment and Analytical Framework Mathematics, Reading, Science, Problem Solving and Financial Literacy. OECD Publishing. http://www.oecd.org/pisa/ pisaproducts/PISA%202012%20framework%20e-book_final.pdf sayfasýndan eriþilmiþtir. Paolucci, C., & Wessels, H. (2017). An examination of preservice teachers’ capacity to create mathematical modeling problems for children. Journal of Teacher Education, 68(3), 330-344. Patton, M. Q. (2014). Nitel araþtýrma ve deðerlendirme yöntemleri. (M. Bütün ve S. B. Demir, Çev.), Ankara: Pegem Akademi. Pollak, H. O. (2003). A History of the Teaching of Modelling, in Stanic, G. M. A. and Kilpatrick, J. (Eds). A History of School Mathematics. (pp 647-672), National Council of Teachers of Mathematics, Reston, VA. Sriraman, B. (2005). Are giftedness and creativity synonyms in mathematics? Journal of Secondary Gifted Education, 17(1) , 20–36. Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2009). Implementing standards- based math instruction: A casebook for professional development. Teachers College Press. Stigler, J. W., & Hiebert, J. (2004). Improving mathematics teaching. Educational leadership, 61(5), 12-17. Þen, Ö. (2017). Matematik Dersi Ortaokul Öðretim Programlarýnýn Karþýlaþtýrýlmasý: 2009- 2013-2017. Current Research in Education, 3(3), 116-128. Turner, R., Dossey, J., Blum, W. & Niss, M. (2013). Using Mathematical Competencies to Predict Item Difficulty in PISA: A MEG Study. In: Prenzel, M., Kobarg, M., Schöps, K. & Rönnebeck, S. (Eds.), Research on PISA – Research Outcomes of the PISA Research Conference 2009. New York: Springer, 23-37. Vos, P., Hernandez-Martinez, P., & Frejd, P. (2020). Connections of science capital and the teaching and learning of mathematical modelling: An introduction. In Mathematical modelling education and sense-making (pp. 33-38). Springer, Cham. Yang, X., Schwarz, B., & Leung, I. K. (2021). Pre-service mathematics teachers’ professional modeling competencies: a comparative study between Germany, Mainland China, and Hong Kong. Educational Studies in Mathematics, 1-21. Yoon, C. (2006). A Conceptual Analysis of the Models and Modeling Characterization of Model- Eliciting Activities as “Thought-Revealing Activities”. Yayýnlanmamýþ Doktora Tezi. Yu, S., & Chang, C. (2009). What did Taiwan mathematics teachers think of model-eliciting activities and modeling? … And Learning Of Mathematical Modelling http://120.107.180.177/ 1832/9802/98-2-04pa.pdf Zawojewski, J. (2013). Problem solving versus modeling. In Modeling students’ mathematical modeling competencies (pp. 237-243). Springer, Dordrecht.