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Building the process of education effectively and qualitatively taking into account educational needs and students' individual characteristics is possible by developing of the special technics of education, in terms of which a student not only will repeat the actions of a teacher but first of all will use different interactive and adaptive educational technologies. The modern computer technologies because of high crucible carrier size and high processing speed allow to enlarge the borders of materials used in an educational process because of highly developed ways of analysis of a dialogue with a user and considerably adopt transfer of knowledge to a concrete learner. The teaching technique of computer testing suggests realization of new approaches to a building of teaching courses by special organization of information block of a discipline in the form of sections and modules, structuring of test materials due to the module division in accordance with information structure of learning material, division of module testing material into the groups of test questions and tasks in keeping with the content and arrangement of groups in order of difficulty of testing materials, appliance of consistent approach allowing to realize several sorts of adaptiveness while testing students' knowledge. We offered the consistent approach, allowing to realize practically several types of adaptiveness while estimating knowledge by computer testing. (1) The changing of strategy of examination depending on the student's answers, legalized by means of special structure of examining algorithm. (2) Testing on assignment, which is divided into the training, realized independently for the estimation of knowledge by a student himself, and control, realized under the supervision of a teacher for the objective estimation of real knowledge, and progress check and final check are important and particular case. (3) Testing on profoundness of the examination -- to the examination level. (4) The testing by volume of the checked material subdivided depending on material volume (the module, the section or several sections (progress check), all discipline (final check). The given possibilities are provided with the organization of the information and testing material for subsections of a course and are considered in the testing algorithms. The offered approach maximally takes into account essential characteristics of computer process of an examination and allows to build an individual path of training students by using various interactive means. [For "NORDSCI International Conference Proceedings: Education and Language Edition (Helsinki, Finland, July 17, 2018). Book 1. Volume 1," see ED603189.]