In our paper we tried to share more than 30 years of experience with climbing on winter and summer high mountains, focused on safe and efficient move on snow, firn and ice, just like it is applied at our winter high mountain tourism and winter climbing courses at Faculty of Education, UJEP in Ústí nad Labem. Due to significant changes in material and methodology area in the last twenty years, we consider it appropriate to deal with this issue. In the conclusion of our paper we recommend optimal equipment for students like we practice on our courses. We also noted what is it our students learn on the courses, the extension of gained abilities and experience and what are the resulting competences.