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Training in Computer Science at high school, in the higher educational institution (HEI) of Kazakhstan for students of the «computer science» specialty, especially the section «Computer modeling» is considered in the article.

The need of studying of computer modeling is that modern tendencies of strengthening of Computer Science's general educational and world outlook functions define the need of additional research of the problems connected with studying of bases of computer modeling in the basic course of Computer Science. Such need is caused by that the substantial line «Formalization and Modeling» is the backbone line of the course. Consideration of modeling matters within Computer Science is aware of basis of development of the cogitative operations called the methods of intellectual actions or intellectual abilities in pedagogic.

But at schools and HEIs this section of Computer Science's course isn't considered properly. The matters connected with a technique of formation of basic concepts of modeling and also application of applied program environments for development and research of models, except the tabular Excel processor aren't developed. Practically there are no the techniques forming a broad view on concept of model, there is no methodically acceptable typology of models. At illumination of a material on the themes about modeling stages the process isn't considered as cyclic, there is no disclosure of concept of models' relevance, the «undelivered», «vital» tasks, fully reflecting intersubject communication are considered little. The educational computer must be used by pupils for computing works in courses of Mathematics, Physics, Chemistry, for analyzing of data of educational computing experiment and search of regularities when carrying out laboratory works, for the research of functions in course of Algebra, for construction and analyzing of mathematical models, physical, chemical, biological and other phenomena and processes as in the field of information technologies essential expansion of their functionality on processing and use of images, speech information, full text documents, results of scientific measurements and mass monitoring is expected.

It is necessary to introduce in educational process the personal focused training in computer modeling. As a whole personal and activity approach in training means that first of all in this process the main educational objective of education - creation of conditions of development harmonious, moral perfect, socially active through activization of the internal reserves, professionally competent and spontaneous personality is set and solved. The «personal» component of this approach means that all training is based taking into consideration last experience of pupil, his personal features in subject and subject interaction. Training «refracts» through the personality of pupil, through his motives, valuable orientations, the purposes, interests, prospects etc.; it accepts them and is proportioned to them. It is considered to be bringing up because the personality is in the center of training, educations. Respectively all education, being aligned on the pupil, on his personality, becomes anthropocentric on the purpose, content and forms of organization, implementing the main aim - bringing up a person.