Performing a mathematical and informational task “Research of the dynamics of rational functions of a complex variable as a means of developing students' creativity”

Abstract

Multi-stage math and information tasks for students are a kind of creative laboratory in which they show their abilities not only as mathematicians, but also as programmers and artists. Stepwise research on the dynamics of functions of complex variables and their visualisation contribute to the development of students' creativity and the formation of skills in the field of mathematical analysis and programming. This article deals with a multi-stage mathematical and informational task, which is a specially composed sequence of tasks, exercises, problems and didactic situations.