At the Technical University of Liberec, a new international Bachelor branch of studies was established for students of three states - Czech Republic, Poland, and Germany. These studies are intent on a management. We want to analyze students' understanding of one pivotal mathematical concept that plays a central role in advanced mathematics. We also want to compare a level of knowledge of these students from three different states. We aim at exponential and logarithmic functions because these concepts give students serious difficulties. In this report, we describe how students acquire an understanding of these functions by prescribing a set of mental constructions that students can make to develop their understanding of these concepts.
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