Modelling in Vietnamese School Mathematics
Keywords:
modelling; mathematical modelling; modelling teaching; modelling method; modelling processAbstract
This paper presents empirical research about
implementing mathematical modelling in the secondary schools
in Vietnam. The data from experiments have shown that there
were some cognitive barriers in introducing modelling to the
classroom and designing real world models for teaching.
However, we have concluded that modelling is one of the active
teaching methods and the teachers can provide their students
with appropriate interventions to support them interpreting
about the role of mathematics in reality. Furthermore, by
participating in modelling activities, the students would develop
their problem solving skills and regularly adjust their thinking.
Keywords. mathematical modelling; modelling teaching;
modelling method; modelling process.
References
Ang, K.C. (2006). Differential equations: Models and methods. McGraw-Hill, Singapore.
Berinderjeet Kaur, Jaguthsing Dindyal (2010). Mathematical applications and modelling. World Scientific Publishing.
Biembengut, M. S., & Hein, N. (2010). Mathematical Modelling: Implications for Teaching. In R. Lesh, P. L. Galbraith, C. R. Haines & A. Hurford (Eds.), Modelling Students' Mathematical Modelling Competencies (pp. 481-490): Springer.
Blum, W. & Ferri, R.B. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58.
Brown, S., & Walter, M. (2005). The art of problem posing. Mahwah, NJ: Lawrence Erlbaum Associates.
Dan, Q., Xie, J. (2011). Mathematical modelling skills and creative thinking levels: An experimental study. In G. Kaiser et al. (eds.), Trends in Teaching and Learning of Mathematical Modelling, International Perspectives in the Teaching and Learning of Mathematical Modelling. Spinger.
English, L. D. (2003). Reconciling theory, research, and practice: A models and modelling
perspective. Educational Studies in Mathematics, 54, 2 & 3, 225-248.
Galbraith, P. L., Stillman, G., & Brown, J. (2010). Turning ideas into modelling problems. In R. Lesh, P. L. Galbraith, C. R. Haines & A. Hurford (Eds.), Modelling Students' Mathematical Modelling Competencies (pp. 133-144): Springer.
Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39, 111-129.
Kang, O. K., Noh, J. (2012). Teaching mathematics modelling in school mathematics. Proceedings of the 12th International Congress on Mathematical Education, 145-157.
Lesh, R., & Lehrer, R. (2003). Models and modelling perspectives on the development of students and teachers. Mathematical Thinking and Learning, 2 & 3, 109-130.
Lesh, R., & Zawojewski, J. (2007). Problem solving and modelling. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 763-803). Charlotte, NC: Image Age Publishing.
Lingefjärd, T. (2006). Faces of mathematical modelling. The International Journal on Mathematics Education, 38(2), 96-112.
Maab, K. (2006). What are modelling competencies? The International Journal on Mathematics Education, 38(2), 113-142.
Maaß, K. (2004): Mathematisches Modellieren im Unterricht. Ergebnisse einer empirischen Studie. Hildesheim: Franzbecker.
Muller, E., & Burkhardt, H. (2007). Applications and modelling for mathematics —Overview. In W. Blum, P.L. Galbraith, H-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education, The 13th ICMI study (pp. 267–274). New York: Springer.
National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. Reston, VA : NCTM.
Niss, M., Blum, W. & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H. Henn and M. Niss (Eds.), Modelling and applications in mathematics education, the 14th ICMI study (pp. 3-32). New York: Springer.
Nguyen, D. N., Tran, T. (2013). Recommendations for mathematics curriculum development in Vietnam. Proceedings of the 6th International Conference on Educational Reform, pp. 26-32.
Swetz, F. and Hartzler, J. S. (1991). Mathematical modelling in the secondary school curriculum. The National Council of Teachers of Mathematics: Reston, Virginia.
Zawojewski, J. S, Lesh, R., & English, L. D. (2003). A models and modelling perspective on the role of small group learning. In R. A. Lesh & H. Doerr (Eds.), Beyond constructivism: A models and modelling perspective on teaching, learning, and problem solving in mathematics education (pp. 337-358). Mahwah, New Jersey: Lawrence Erlbaum.
Zhu, K., Li, W., and Fu, X. (2013). Modeling population growth in online social networks. Complex Adaptive Systems Modeling, pp. 01-14.
Downloads
Published
Issue
Section
License
Copyright (c) 2016 Danh Nam Nguyen

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
All articles published by IJLTER are licensed under a Creative Commons Attribution Non-Commercial No-Derivatives 4.0 International License (CCBY-NC-ND4.0).