Potential Capacities and Obstacles of Using “Application and Modeling Approach” in Tertiary Mathematics Education

Document Type : Research Paper

Abstract

In this paper necessity of consideration of “application and modeling approach” in tertiary mathematics education will be introduced. After that history and different cycle of modeling in mathematics education will be explained. In the following, researches which carried on “application and modeling approach” in tertiary level will be reviewed. Then methodological details related to using this approach in teaching a tertiary level mathematics courses will be elaborated. In this regard, a modeling eliciting activity introduced to 39 engineer students and their strategies for solving this problem investigated upon seven steps modeling cycle. Finally, after introducing some of students’ answers to this real world problem and a typical correct answer, potential capacities and obstacles of using “application and modeling approach” in tertiary mathematics education will be discussed.
 
 

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Alsina, C. (2007). Teaching application and modeling in tertiary level. In W. Blum, P. Galbraith, H. W. Henn and M. Niss (Eds.), Modeling and applications in mathematics education, the 14th ICMI study (pp. 469-474). New York: Springer.
Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of Phases in the modeling process. Zentralblatt fur Didaktik Mathematik, 38 (2), 86-95.
Cristobal-Escalante & Vargas-Alejo. (2013). the Development of Mathematical Concept Knowledge and of the Ability to Use this Concept to Create a Model (Ch. 44). In Gloria Ann Stillman, Gabriele Kaiser, Werner Blum, Jill P. Brown (Eds.).  Teaching Mathematical Modeling: Connecting to Research and Practice. Springer, pp: 511-525.
Kaiser, G. & Maab, K. (2007). Modeling in Lower Secondary Mathematics Classroom — Problems and Opportunities. In W. Blum, P. L. Galbraith, H. Henn, M. Niss, (Eds.), Modeling and Applications in Mathematics Education: ICMI Study 14, (pp. 99-108). New York: Springer.
Larson, C. (2010). Modeling and Quantitative reasoning: the Summer Job Problem. In R. Lesh et al. (eds.), Modeling Students’ Mathematical Modeling Competencies. (pp. 111-118). New York: Springer.
Niss, M. (1996). Goals of Mathematics Teaching. In Bishop, A., Clement, K., Keitel, C., Kilpatrick, J., & Laborde, C., (Eds.). International Handbook of Mathematical Education. (pp. 11-47). Dordrecht: Kluwer Academic Publishers.
Niss, M. Blum, W. Galbraith, P. (2007). Part 1: Introduction. In W. Blum, P. L. Galbraith, H. Henn, M. Niss, (Eds.), Modeling and Applications in Mathematics Education: ICMI Study 14, (pp. 3-32). New York: Springer.
Pollak, H. (2007). Mathematical modeling – A conversation with Henry Pollak. In W. Blum, P. Galbraith, H. W. Henn and M. Niss (Eds.), Modeling and applications in mathematics education, the 14th ICMI study (pp. 109-120). New York: Springer.
Possani, E. Trigueros, M. Preciado, J.G. & Lozano, M.D. (2010). Linear Algebra and its Application, vol. 432, pp. 2125-2140.
Schoenfeld, M. (2013). Extending Model Eliciting Activities (MEAs) beyond Mathematics Curricula in Universities (Ch. 49). In Gloria Ann Stillman, Gabriele Kaiser, Werner Blum, Jill P. Brown (Eds.).  Teaching Mathematical Modeling: Connecting to Research and Practice. Springer, pp: 573-581.
Verschaffel, L. (2002).Taking the modeling perspective seriously at the elementary school level: promises and pitfalls (plenary lecture). In A.D. Cockburn & E. Nardi (Eds.), Proceeding of the 26th Conference of the international group for the psychology of mathematics education, vol. 1 (pp. 64-80). Norwich, England University of East Anglia.