 Гриб'юк, О.О. (2014) Tworzenie wiedzy modelowania matematycznego jako środek i sposób rozwiązywania problemów w nauczaniu nauk matematycznych i chemicznych i biologicznych cykli z wykorzystaniem technologii informacyjnych i komunikacyjnych In: West Conference on Mathematics Education What STEAMbased approach can bring into mathematics education, EWCOME 2014, 48 August 2014, Warszawa, Polska. (Unpublished)

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Abstract
The basis for implementing mathematical modelling as a means of learning is classification of phenomena of environmental character, known to learners due to studying subjects of chemistry and biological branches, which, in their turn, are researched on the basis of mathematical models of a certain kind. The knowledge of different kinds of models becomes for pupils a means of solving applied problems in general and problems with environmental content in particular. The knowledge, which pupils obtain about various material (real) models and how to apply them while defining notions, observing properties, solving problems, provides a possibility to observe characteristics of notions and to take them as the base for defining, or for formulating theorems, properties or features. Mathematical modelling as a means of cognition is used while forming notions, learning formulae, in particular, to calculate area of plane figures, surface and volume of spatial ones, and while forming skills for solving problems with different levels of difficulty (from standard to heuristic ones). Let us consider various ways of teaching purpose of this problem in learning. Using mathematical modelling as a means of forming notions (functions, equations and equation systems, various types of polyhedrons, solids of revolution) encourages the conditions mentioned to be fulfilled. At the stage of conscious use of the method of mathematical modelling it is appropriate to suggest high school pupils perform graphic calculations and study natural phenomena, after having analyzed topics from textbooks on chemistry, biology, basics of ecology, and to point out mathematical notions, which were used, describing environmental, chemical, biological phenomena.
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