Currently, there are a lot of training systems for acquiring programming skills, and at the same time there is an acute shortage of tools that would allow to acquire and improve the skills of various user groups in the field of algorithmization. The aim of the work is to develop an Intelligent Tutoring System that supports various user groups in the study of algorithms and their application in various practical fields. In the work we used the method of intellectual computer training in algorithmic thinking of various user groups through deep diagnosis and adaptive prompts. The proposed models and method are implemented in the ITS prototype, the work of which is demonstrated on the example of training medical staff, aircraft pilots and students in three different subject areas. The experimental operation of the system has shown its effectiveness in the areas considered. From a scientific point of view the information technology of training in the compilation of algorithms in the form of flowcharts based on new models and methods is one of major interest. In practical terms the developed prototype of a web system for adaptive training in algorithms with the potential to expand the circle of users and problem areas is of great value.