APPLICATION OF GRAPHICAL REPRESENTATION OF ALGORITHMS IN SOLVING PARAMETRIC EQUATIONS

Abstract

The work is dedicated to the interdisciplinary connections between mathematics and computer science. Block diagrams are considered as a factor for increasing the effectiveness of teaching parametric equations. It is shown that higher efficiency can be achieved if the solution of parametric equations is carried out using block diagrams. The process of effectively using block diagrams to solve parametric equations is described. The development of students’ algorithmic thinking and their mastery of algebraic language are emphasized. The importance of student participation in creating a general algorithm for solving parametric equations, as well as constructing its corresponding block diagram, is also highlighted.

This approach fosters students' abilities to research, experiment, combine various tools, analyze cause-and-effect relationships, and make informed decisions. It helps them develop teamwork skills, structured thinking, and the ability to assess both their own and others’ opinions and arguments. The approach directly contributes to the understanding and reinforcement of cross-cutting concepts such as patterns, cause and effect, mechanisms and prediction, systems and models, structure and function, thereby promoting a foundational understanding of the digitalization process.

The work can be useful in making the learning of parametric problems—typically considered difficult for students—more engaging and effective.