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Tracing Students’ Modeling Processes in School

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Abstract

In this study, we report on an analysis of the mathematization processes of one 6th and one 8th grade group, with emphasis on the similarities and differences between the two groups in solving a modeling problem. Results provide evidence that all students developed the necessary mathematical constructs and processes to actively solve the problem through meaningful problem solving. Eighth graders who were involved in a higher level of understanding the problem presented in the activity employed more sophisticated mathematical concepts and operations, better validated and communicated their results and reached more efficient models. Finally, a reflection on the differences in the diversity and sophistication of the constructed models and mathematization processes between the two groups raises issues regarding the design and implementation of modeling activities in elementary and lower secondary school level.

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References

  • American Association for the Advancement of Science. (1998). Blueprints for Reform: Science, Mathematics, and Technology Education. New York: Oxford.

    Google Scholar 

  • Doerr, H., and English, L. D. (2003). A Modeling perspective on students’ mathematical reasoning about data. Journal of Research in Mathematics Education, 34(2), 110–136.

    Article  Google Scholar 

  • English, L. D. (2003). Reconciling theory, research, and practice: A models and modelling perspective. Educational Studies in Mathematics, 54, 225–248.

    Article  Google Scholar 

  • English, L. D. (2006). Mathematical modeling in the primary school. Educational Studies in Mathematics, 63(3), 303–323.

    Article  Google Scholar 

  • English, L., Watters, J. (2004). Mathematical Modeling in the Early School Years. Mathematics Education Research Journal, 16, 59–80.

    Google Scholar 

  • Greer, B., Verschaffel, L., and Mukhopadhyay, S. (2007). Modelling for life: Mathematics and children’s experience. In W. Blum, W. Henne, and M. Niss (Eds.), Applications and Modelling in Mathematics Education (ICMI Study 14). Dordrecht: Kluwer.

    Google Scholar 

  • Lesh, R., and Doerr, H. M. (2003). Beyond Constructivism: A Models and Modeling Perspective on Mathematics Problem Solving, Learning and Teaching. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.

    Google Scholar 

  • Mousoulides, N. (2007). The Modeling Perspective in the Teaching and Learning of Mathematical Problem Solving. Unpublished Doctoral Dissertation, University of Cyprus, Nicosia.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: Author.

    Google Scholar 

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Correspondence to Nicholas Mousoulides , M. Pittalis , C. Christou or Bharath Sriraman .

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© 2013 Springer Science+Business Media Dordrecht

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Mousoulides, N., Pittalis, M., Christou, C., Sriraman, B. (2013). Tracing Students’ Modeling Processes in School. In: Lesh, R., Galbraith, P., Haines, C., Hurford, A. (eds) Modeling Students' Mathematical Modeling Competencies. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6271-8_10

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