Abstract - In this paper we present a way of introducing innovation in teaching process by applying new teaching method based on the principles of mathematical modeling. The paper deals with experiences from teaching process, concerning both aspects: teachers and students points of view.

Direct application of new teaching method based on principles of mathematical modeling is illustrated in the paper by example of the teaching unit related to introducing the concept of the first derivative processed by using mathematical modeling as teaching method. Step by step procedure of making mathematical model is explained – from starting preparation, to implementation of the mathematical model and drawing conclusions from it.

The positive effects of mathematical modeling to better understanding, the creation of advanced mathematical thinking, and the application of mathematical theory on solving real world problems are discussed and analyzed.

Key words: Mathematical modeling, innovative teaching methods, first derivative