Steiner posed the question: ”Into how many parts can n lines at most divide a plane?” Although lines can be arranged in a plane in various ways, to obtain the maximum number of plane sections, it is necessary to follow the following rules: every two lines intersect at exactly one point, and no three lines intersect at a common point. In this thesis, we explore Steiner’s problem and its potential applications in primary and secondary education. In the first chapter, by adhering to the previously mentioned rules and using various methods, we found a solution to Steiner’s problem. In the second chapter, we present three different approaches to solving Steiner’s problem. The following chapter covers Euler’s formula with a special emphasis on its connection to the Steiner problem. In addition to the mentioned problem, Steiner introduced the problem of determining the maximum number of plane sections obtained by placing circles in a plane, which we have studied in Chapter 4. Finally, the thesis provides various examples of how to incorporate Steiner’s problem into primary and secondary school curricula. With the help of various activities and tasks, students can become familiar with the problem of dividing a plane into a maximum number of sections and, at the same time, practice or discover the topics prescribed by the curriculum