TEACHING MATHEMATICS THROUGH MATHEMATICAL MODELING OF REALWORLD SITUATION IN THE ELEMENTARY GRADES

Natalija Budinski; Dragica Milinković

doi:10.7251/NSK1701038B

Authors

Natalija Budinski Основна и средња школа са домом ученика “Петро Кузмјак” Руски Крстур, Србија
Dragica Milinković Универзитет у Источном Сарајеву Педагошки факултет Бијељина

DOI:

https://doi.org/10.7251/NSK1701038B

Keywords:

mathematical modeling, elementary grades, mathematical education

Abstract

Mathematical modeling begins to occupy an increasingly important place in the teaching of mathematics, so it is very useful to learning mathematics through real situations starts at an early age students. In this context, the paper describes the application of mathematical modeling in the elementary grades as a function of active use and understanding of mathematics in everyday life.

The first part provides a theoretical basis and considers how the application of mathematical modeling in the adoption of mathematical concepts, rules and solving life problems that have a mathematical basis. The second part alleges a practical example of modeling the real situation in the function of learning mathematics in teaching the basic cycle.

References

Baigrie, B. (1996). Descartes scientific illustrations and ‘la grande mécanique de la nature’. In: B. S. Baigrie (Eds.), Picturing knowledge: Historical and philosophical problems concerning the use of art in science, 86–134. Toronto, ON: University of Toronto Press.

Blum, W., Galbraith, P. L., Henn, H. W., & Niss, M. (2007). Modelling and applications in mathematics education: The 14th ICMI Study. New York, NY: Springer.

Kaiser, G., Blomhøj, M. & Sriraman, B. (2006). Towards a didactical theory for mathematical modeling. ZDM, 38 (2), 82-85.

Meerschaert, M. (2010). Mathematical Modeling. Elsevier Science.

Miller, A. I. (1986). Imagery in scientifi thought, Cambridge, MA: MIT Press.

Милинковић, Д. (2003). Моделски приступ диференцираној обради аритметичких проблема, Значења, 47, 265-279.

Милинковић, Д. (2013). Методика математичког моделовања за разредну наставу, Пале: Универзитет у Источном Сарајеву Филозофски факултет Пале.

Милинковић, Д. (2016). Визуелизација у функцији развијања математичког мишљења, Зборник радова са Научног скупа Наука и евроинтеграције, (327- 341). Пале: Филозофски факултет Универзитета у Источном Сарајеву.

Organisation for Economic Co-operation and Development. (2010). Pisa 2009 results: What students know and can do. Student performance in reading, mathematics and science 1. Paris: Author.

Organisation for Economic Co-operation and Development. (2014). Pisa 2012 results: What students know and can do. Student performance in reading, mathematics and science 1. Paris: Author.

Pollak, H. O. (1968). On some of the problems of teaching applications of mathematics. Educational Studies in Mathematics, 1 (1/2), 24-30.

Philips, L. et al. (2010). Visualization in Mathematics, Reading and Science Education, Dordrecht Heidelberg London New York: Springer.

Службени гласник РС (2006). Просветни гласник, 3/06.

Cai, J., Cirillo, M., Pelesko, J. A., Borromeo Ferri, R., Borba, M., Geiger, V., Stillman, G., English, L. D., Wake, G., Kaiser, G. & Kwon, O. N. (2014). Mathematical modeling in school education : mathematical, cognitive, curricular, instructional and teacher education perspectives. In P. Liljedahl et al. (Eds.) Proceedings of the Joint Meeting of PME 38 and PME-NA 36, PME-NA, Vancouver, Canada (pp. 145-172).