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The ventilation systems of the mines are complicated by the presence of extensive open spaces and collapses, significant failures with ground outlets, which form complex aerodynamic connections not only between separate horizons, but also the system of underground workings and the surface. In this regard, to reduce the dimension of the original ventilation scheme, it is proposed to analyse not a true large-dimensioned calculation network, but a minimized one, the structure of which is different from the real one, and can be represented as an approximating analogue. It was established that the construction of structural-functional analogise by approximation on the base points allows the design schemes to be constructed in the absence of information about internal aerodynamic connections in the system of underground workings complicated by collapse zones, blockages, dips, etc. The method of constraints is proposed, which allows determining the boundaries of the search for a set of positive values of the aerodynamic resistance of equalizing branches when solving a system of nonlinear equations describing the constructed analogue.

To control rock pressure in the Karaganda coal basin, various technological schemes are used for mining and developing coal seams. At the same time, in order to form healthy and safe working conditions at workplaces in coal mines in the course of mining operations, it is necessary to ensure effective ventilation of the development and breakage faces. When solving the problem of aeration of stopes, the authors of the article propose to take into account air leaks through the collapsed coal-rock mass of the goaf when controlling gas emission of an working area. For this purpose, the gas-dynamic state of the goaf has been studied under various conditions of ventilation: when isolating the longwall face goaf, when demolishing the supported ventilation working, when the amount of air supplied to the longwall face is changed and for refreshing, as well as a combination of these options. Experimental studies have been carried out in the mines of the Karaganda coal basin. This article took into account the features of the working area aerogasdynamics with the direct-flow ventilation scheme. As a result of the study, a quasi-network model of the working area and an algorithm of calculating air leaks through the collapsed goaf massif have been developed.

Storytelling is one of the central teaching strategies of the 21 st century applied in moral education. Research questions: What diagnostic tools to measure moral qualities may be recommended for Selfcognition teachers in classroom? How to diagnose risk group children based on their conscientiousness and what are the ways of applying storytelling in moral development? What are the changes in learners after using targeted storytelling? The purpose of this study is to develop targeted storytelling techniques for risk group children for curriculum-oriented moral education in Self-cognition classroom, to diagnose children for the purpose of curriculum development, and pilot-test the curriculum in classroom. The study involved 102 6 th grade schoolchildren at Almaty based School 52 (aged 12). The following diagnostics tools were used: the Melnikov-Yampolsky Conscientiousness Scales, the Ilyin Method of Conscientiousness Analysis. According to the diagnosis, 32 learners (34.04%) from the sample were assigned to the risk group as part of conscientiousness diagnostics. Based on the method developed, Selfcognition unit plan consisting of 4 lessons using storytelling has been designed. The specificity of the technique, its novelty lies in the identification of learner's problems and the selection of stories with an orientation towards the development of self-cognition value (Veracity, Right behavior, Non-violence, Peace, Love). Following the experiential work for the moral development on the basis of a special selfcognition curriculum, schoolchildren wrote essays and drew drawings. According to the learning outcomes, positive changes were observed in the schoolchildren.

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