Today's world comes with the necessity of training highly qualified specialists in mathematics and information technologies. It requires creating a special model, based on applying a number of particular pedagogical approaches. A version of this model has been designed in this work. The model of five modules is based on applying complex integrative, differentiated, learner-centered, competent, and vocationally oriented approaches. A pool of e-learning resources allows to compile a professional thesaurus of bachelors, thus creating a unified system of e-learning. Our model lays emphasis on the individual peculiarities of learners: enhancing their cognitive processes, computer-assisted self-efficiency, and individual style of studying. All the above gears toward accumulating the necessary experience of project activities of bachelors, and team work. Monitoring the results is implicated in accordance with the established system of assessment of assignments of different level of complexity. The monitoring methods, used in the model, allows to evaluate the level of development of information competence of bachelors specializing in mathematics, and computer science. The pedagogical experiment was conducted in order to check the effectiveness of the developed model. The results demonstrate a significant increase in the number of students of experimental groups with a high level of formed information competence. It also confirmed the statistical data analysis using χ 2 hypothesis test and Student's t-test, thus proving the effectiveness of the created model.