Middle school students first experience with mathematical modeling

Autores

Palavras-chave:

Mathematical Modeling, Middle School, Model-Eliciting Activities

Resumo

Internationally, mathematical modeling is garnering more interest because of the many benefits of this approach. There are still many students though that have not had any experience with mathematical modeling. Previous research has shown that students can have difficulties with their first experience with mathematical modeling. This study used the prior research to structure effectively an implementation method to enable middle school students to be successful in their first experience with mathematical modeling. It was ensured that students understood the problem context, group work skills were discussed, cooperative learning was used, and all groups were able to share their work with the whole class. A mathematical modeling activity that had been previously been implemented with quality results was also used. Implications for researchers and teachers are discussed to help students be successful in their first modeling experience.

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Referências

Albarracin, L. & Gorgorio, N. (2013). Fermi problems involving big numbers: adapting a model to different situations. In B. Ubuz, C. Haser, & M.A. Mariotti (Eds.) Proceedings of the Eighth Congress of the European Society for Research in Mathematics Education. (pp.930-939). Ankara, Turkey: European Society for Research in Mathematics Education.

Aliprantis, C. & Carmona, G. (2003). Introduction to an economic problem: A models and modeling perspective. In R. Lesh & H. Doerr (Eds.) Beyond constructivism: Models and modeling perspectives on mathematics problem solving, teaching, and learning (pp.255-264). New York: Routledge.

Anhalt, C.O. & Cortez, R. (2015). Developing understanding of mathematical modeling in secondary teacher preparation. Journal of Mathematics Teacher Education, 19(6), 523-545.

Biccard, P. & Wessels, D. (2011). Documenting the development of modelling competencies of grade 7 mathematics students. In Kaiser, G., Blum, W., Ferri, R., & Stillman, G. (Eds.). Trends in Teaching and Learning of Mathematical Modelling. (p.375-383). New York: Springer.

Biembengut, M. & Hein, N. (2010). Mathematical Modeling: Implications for Teaching. In R. Lesh, P. Galbraith, C. Haines, & A. Hurford (Eds.). Modeling Students’ Mathematical Modeling Competencies (pp.507-516). New York: Springer.

Cheng, A.K. (2013). Real-life modelling within a traditional curriculum: Lessons from a Singapore experience. In G. Stillman, G. Kaiser, W. Blum, & J. Brown (Eds.). Teaching mathematical modelling: Connecting to research and practice (pp.131-140). New York: Springer.

Corbin, J. & Strauss, A. (2008). Basics of qualitative research (3rd ed.). Thousand Oaks, CA: Sage.

Doerr, H. (2007). What knowledge do teachers need for teaching mathematics through applications and modelling? In W. Blum, P. Galbraith, H. Henn, & M. Niss (Eds.). Modelling and Applications in Mathematics Education. (pp.357-364). New York: Springer.

English, L., & Watters, J. (2005). Mathematical modelling in the early years. Mathematics Education Research Journal, 16(2), 58-79.

FlowMathematics (2012). “Communicating and listening.†Retrieved from https://www.youtube.com/watch?v=2sQmRPVAf54

Gould, H. & Wasserman, N.H. (2014). Striking a balance: students’ tendencies to oversimplify or overcomplicate in mathematical modeling. Journal of Mathematics Education at Teachers College, 5(1), 27-34.

Gould, H. (2013). Teachers’ conceptions of mathematical modeling. Dissertation. New York: Teachers College Columbia University.

Johnson, D.W., Johnson R.T., & Smith, K. (2007). The state of cooperative learning in postsecondary and professional settings. Educational Psychology Review, 19, 15-29.

Lesh, R., Carmona, G., & Moore, T. (2009). Six sigma learning gains and long term retention of understandings and attitudes related to models & modelling. Mediterranean Journal for Research in Mathematics education, 9(1), 19-54.

Lesh, R. & Doerr, H. (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, teaching, and learning (pp.3-34). New York: Routledge.

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

MaaB, K. & Mischo, C. (2011). Implementing modelling into day-to-day teaching practice-The project STRATUM and its framework. Journal fur Mathematik-Didaktik, 32, 103-131.

Patton, M. (2002). Qualitative research & evaluation methods. (3rd ed.). Thousand Oaks, CA: Sage Publications.

Smith, M.S. & Stein, M.K. (2011). 5 practices for orchestrating productive mathematics discussions. Reston, VA: NCTM.

Stohlmann, M. (2017). Elementary mathematical modeling: Get in the GAIMME. Banneker Banner Journal, 30(2), 4-11.

Stohlmann, M., DeVaul, L., Allen, C., Adkins, A., Ito, T., Lockett, D., & Wong, N. (2016). What is known about secondary grades mathematical modeling-a review. Journal of Mathematics Research, 8(5), 12-28.

Stohlmann, M., Moore, T., & Cramer, K. (2013). Preservice elementary teachers’ mathematical content knowledge from an integrated STEM modeling activity. Journal of Mathematical Modelling and Application, 1(8), 18-31.

Tekin, A., Kula, S., Hidiroglu, C. N., Bukova-Guzel, E., & Ugurel, I. (2012). Determining the views of mathematics student teachers related to mathematical modelling. International Journal for Mathematics Teaching and Learning, 1-14.

Publicado

2017-08-01

Como Citar

STOHLMANN, M. Middle school students first experience with mathematical modeling. Revista Internacional de Pesquisa em Educação Matemática, v. 7, n. 1, p. 56-71, 1 ago. 2017.

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