The purpose of our research is to show (by example of learning curve analysis) possibility of managing the educational process. The article presents experimental results of the construction and quantitative analysis of the learning curve by example of the elementary mathematical skill development. The experiment involved, 11th-grade students at the comprehensive school of the Russian Federation. The results obtained were divided into three groups, for each of which the learning curves were plotted. The paper outlines several dependencies on construction of learning curve approximation. Comparison of the results of the experimental learning curve approximation by various functions may lead to the conclusion that not all of them are satisfactory. The current findings showed that each student has a clearly traceable unique learning curve. It indicates the need for individual trajectory development for teaching every single student to improve the skills acquisition quality.