Abstract:

Modern teaching methods are based on heuristic teaching approaches, where a student is actively involved in the teaching process, tries to discover new knowledge with the help of the teacher himself and thus participates in the teaching process. It is important to estimate the degree of independence of the student's work and the degree of help needed by the teacher in the student's work. It is also important to select tasks and problems that are suitable for this process. The teaching of mathematics can therefore be enriched with tasks, in the solution of which the student must develop creative activity, he can use different solution strategies and look for different ways to solve them. Nontrivial tasks can also be included in the teaching, which require the students to use strategies based on scientific research principles. An example of such a task is the problem of finding the fastest way from one place to another. This task can also be solved in high school math classes. Pupils can use several solving strategies in solving this problem, which are presented in the article. Pupils can then transfer the experience of solving this problem to the solution of other problems that they may encounter in their study and practice in the future.

Keywords:

Route, heuristics, problem, experimentation, Excel, solver, strategy.