algorithm, algorithmization in geometry, GeoGebry, planimetry

Digital competences are a theme that resonates throughout the educationsystem and is currently being emphasised. One of its goals is to increase theimplementation of computer science in education. It is therefore not just aboutcomputing subjects, but about using digital competences as a cross-curriculartheme across all subjects (NPI, 2021).The teaching of mathematics directly lends itself to the use of computer sciencein the teaching of geometry or statistics through the various use of quizzes, otherinteractive materials or detailed instructional videos. In mathematics, GeoGebrasoftware is widely used not only for teaching geometry, but also as an excellentvisualization and logic tool across all mathematical domains. GeoGebra allowsyou to create custom tools that work on the principle of a compiled algorithm andare primarily used in the context of solving design problems.The aim of this paper is to show how this tool can be used as a motivator ofstudents’ algorithmic thinking, and also to introduce it as a useful tool in thecreation of interactive materials in the teaching of planimetry. The paper willalso introduce parts of planimetric geometry that can be algorithmized to createa new tool within the GeoGebra software. The second part has already beenimplemented in the thesis of our student Marek Bukovsky (2023), who createdtools that were subsequently used in the solution of planimetric problems.

Digital competences are a theme that resonates throughout the educationsystem and is currently being emphasised. One of its goals is to increase theimplementation of computer science in education. It is therefore not just aboutcomputing subjects, but about using digital competences as a cross-curriculartheme across all subjects (NPI, 2021).The teaching of mathematics directly lends itself to the use of computer sciencein the teaching of geometry or statistics through the various use of quizzes, otherinteractive materials or detailed instructional videos. In mathematics, GeoGebrasoftware is widely used not only for teaching geometry, but also as an excellentvisualization and logic tool across all mathematical domains. GeoGebra allowsyou to create custom tools that work on the principle of a compiled algorithm andare primarily used in the context of solving design problems.The aim of this paper is to show how this tool can be used as a motivator ofstudents’ algorithmic thinking, and also to introduce it as a useful tool in thecreation of interactive materials in the teaching of planimetry. The paper willalso introduce parts of planimetric geometry that can be algorithmized to createa new tool within the GeoGebra software. The second part has already beenimplemented in the thesis of our student Marek Bukovsky (2023), who createdtools that were subsequently used in the solution of planimetric problems.