The article consideres family as a social community, family relationships and its role in the development of society. The article also defines typology and factors of inter-ethnic marriages, their trends and patterns.

Theoretical and practical aspects of quality management of teachers’ continuous education, main tools, methods, approaches and trends in the monitoring development in qualification increase system are considered in the article. The research has been carried out by a case study of «Orleu» Institute of teachers’ training in Pavlodar region».

Theoretical aspects of preschool children speech development by means of theatricalization are highlighted in the article which is understood by the authors as purposeful pedagogical activity providing effective learning of mother tongue vocabulary. A number of games classifications are analyzed that make up the theatrical activity. Emphasizing that the theatrical activities can be organized in different areas of work with children of preschool age the authors reveal issues of these areas.

The mathematical education of a pripary schoolchild is one of the directions at primary school. It gives an opportunity to a schoolchild to master successfully the program of secondary and high school. The question of education actions formation for junior schoolchildren through geometric training is considered in this article.

The building contain, contain is one of the basic meaning of the development of the person and the forming of his basic culture. The authors searched the incompatibility between the definite aims of the building and the curriculum and between the curriculum and the pupil’s book. In this article the working curriculum at the Oktyabrsk secondary school with due regard for the variation components and with due regard of the pupils’ age feature and the material and technical basis are considered. There is also the explaining of the curriculum organizing in this article. During the selection of the contain of the variation components the common didactics criterions which are formulate by Y.K. Babanskiy are suggested like the base.

This article describes the radical changes that occur in the training of educators and future path of modernization in accordance with the prospects of development of the entire education system of Kazakhstan for the long term.

New approaches in the system of monitoring of educational achievement standardized assessment results are needed. To organise educational process effectively, to plan work of ensuring high quality educational services and inform public about the state of educational system. The article books into the system of assessment at the modern stage of higher education, new approaches in the system of monitoring of educational achievements, peculiarities of test technologies. The article also compares the current system of assessment and the assessment system within renovation in educational system, pays attention to the monitoring system of students’ achievement.

This article mainly deals with the role of healthy lifestyle in strengthening pupils` health. The relevance of the issue of healthy lifestyle modeling arises out of the fact that heath is one of the most significant life values of a person and a guarantee of his or her welfare longevity. Currently, due to the low life expectancy of people, it is crucial to foster the meaning of health as the main value in one`s life and importance and necessity of health preservation from the early childhood. Life preservation requires dedicated and persistent efforts from every person. Herewith, it is necessary to understand one fact: life preservation is a personal prerogative. If one is to always be healthy one must remember that it requires persistent, dedicated and considerable efforts. Therefore, it is crucial to have a long course of personal conduct that designates the general culture of our labour and rest management, rational combination of physical and mental workload, sensible nutrition, active leisure and good quality sleep, and, moreover, skills of safe conduct in different dangerous emergencies. All of it composes the system of healthy lifestyle.

In this article the question connected with the activation of cognitive activity of students. It one of issues of the day on the modern stage of development of pedagogical theory and practice. An author exposes development of activity, independence, initiativeness, creative approach to the thing, these are the requirements of life, qualificatory that direction in that it is necessary to perfect an educational process in a great deal. Searches of ways of development of schoolchildren’s activation of cognitive activity, developing their cognitive flairs and independence is a task that teachers are called to decide. The use of ICТ, that allows to activate thinking, ability to offer the variants of vision of problem, question, themes in the narrow and wide understanding and participating in the discussion are examined in the article. It helps to improve quality education, forms a culture, aesthetic skills of students, develop attention, memory. All this has a practical orientation in different areas and spheres of activity of student. Information technologies, examined in this scientific article as a process of the use of totality of facilities, methods of collection, treatment and communication of data - assists working off at the methods of students of actions, helps forming of processes of self-government of personality, will transform an effectively-practical sphere and carries out the emotionally-semantic going near the study of questions, that discussions, professional orientation.

The article is devoted to modern technologies of organization the process of psychological and pedagogical support of upbringing children-orphans and children left without parental care, foster families. Particularly, basic approaches, criteria and stage-by-stage maintenance of organization of this process are exposed in the article. Analysis of the types of psycho-pedagogical support of orphans are given in this article: guardianship (trusteeship), foster family; also there are the main directions of psycho- educational support of children-orphans in the family. The stages of prevention and rehabilitation work on socio-pedagogical and psychological support are considered by authors. The basic conditions of organization of the socio-pedagogical support of children-orphans and children left without parental care in foster families are also defined in this article.

The article is devoted to improve the efficiency of the formation activity in the early school years. In particular, it discloses approaches graphic activity as a means of increasing the activity. The article describes the manifestation of activity in various areas, the problem of its formation. We describe the types of activity in the early school years, which have different levels of development. The authors have examined the application of the system of graphic activity in the educational process, as a means to improve the efficiency of the formation activity.

The article considers various methods of suppressing electromagnetic disturbances encountered in the electric power system. Detailed descriptions of methods of suppression, as well as classification of electromagnetic interference on the basis of the source of their occurrence are given. Illustrative diagrams of the 106 Вестник Инновационного Евразийского университета. 2017. № 1 ISSN 1729-536X three methods are shown. Based on the analysis, recommendations were made on improving the noise-proof feature of power equipment.

This article defines tolerance. The role of parents in the formation of tolerant relations between children and parents has been revealed. Tolerant education of children should become a necessary need of our society. In this paper we give the definition of tolerance.

An integral part of updating the content of education is the system for assessing the achievement of expected results by students. In the mainstream of these issues, the article describes the experience of applying formative and summative assessment to geography lessons, examines the main types of criterial evaluation, the advantages of introducing them into the system of updating secondary education. A new system of criteria-based assessment for Kazakhstan is aimed at developing a student, increasing its interest and motivation for learning.

In conditions of updating the content of education, the application of the project methodology becomes relevant, as new educational goals aimed at putting theoretical knowledge into practice are gaining importance. Using the project method will allow to update educational and cognitive activities and to activate the student as a subject of this activity. The article discusses the stages of work on the project method and the role of the teacher in the process of organizing the project

The article presents the criteria that you need to pay attention to when evaluating a training project. Using a certain set of criteria allows you to objectively evaluate the work of students on the project

In the light of reforms in the field of education in Kazakhstan, it is necessary to revise approaches to meeting the cognitive needs of students, taking into account their abilities and motivation to learn.Special attention should be paid to children who have increased motivation to learn and pronounced abilities in certain school subjects. These are the so-called "Olympians". The article proposes a solution to the problem that arises in every secondary school, namely, how to teach such children to promote their optimal development. The authors of the article analyzed the work of secondary schools and, on its basis, identified positive and problematic aspects. To solve the identified problems, the system of work of the school in the direction of work with children with increased motivation for learning and gifted children was proposed: a cyclic plan of the school, recommendations on the organization of the school of the Olympic reserve, a strategy for training a selected group of children was proposed

Singularly perturbed partial differential equations with small parameters with higher derivatives deserve special attention, which often arise in a variety of applied problems and are used in describing mathematical models of diffusion processes, absorption taking into account small diffusion, filtration of liquids in porous media, chemical kinetics, chromatography, heat and mass transfer, hydrodynamics and many other fields. It is necessary to consider the creation of an asymptotic classification of solutions of singularly perturbed equations using a well-known approach to solving the boundary value problem. In this case, the singular problem is understood as the problem of constructing the asymptotics of the solution of the Cauchy problem for a system of ordinary differential equations with a small parameter with a large derivative. The asymptotics of the solution in all cases is based on the last time interval or the construction of a boundary value problem for a system with a weak clot in an asymptotically large time interval. Purpose - to construct and substantiate the asymptotics of solving a singular initial problem for a system of two nonlinear ordinary differential equations with a small parameter; To date, a number of methods have been developed for constructing asymptotic expansions of solutions to various problems. This is the method of boundary functions developed in the works of A.B. Vasilyeva, M.I. Vishik, L.A. Lusternik, V.F. Butuzov; the regularization method of S. A. Lomov, methods of averaging, VKB, splicing of asymptotic decompositions of A.M. Ilyin and others. All the above methods allow us to obtain asymptotic expansions of solutions for wide classes of equations. At the same time, such singularly perturbed problems often arise, to which ready-made methods are not applicable or do not allow to obtain an effective result. Therefore, the development of methods for solving equations remains a very urgent problem. As a result of the study, an algorithm for constructing an asymptotic classification of the initial solution of the problem with a singular perturbation is given, and approaches to estimating the residual term are also shown.

The concept of resilience, the ability to withstand crises and adversities and recover from them, has valuable potential for research, intervention and preventive approaches aimed at strengthening the family. There are many paths to relationship resilience, varying depending on different forms of family, psychosocial problems, resources and constraints. Shared beliefs that promote alignment and cooperation are vital to overcoming adversity. Measures to increase the resilience of families are of timely importance to overcome the rapid social changes and uncertainties that families face today. According to research by sociologists and family consultants, each family goes through several stages of development, and the transition from one to another is usually accompanied by a crisis. It is generally believed that domestic difficulties lead to complications in family life, first of all. The purpose is to identify the types of problems and causes leading to crisis situations in marriage. In this regard, the methods such as analysis of literary sources on this topic, generalization, synthesis, psychological experiment, diagnosis of the psychology of family crisis by H.I. Olioirovia, T.A. Zinkevii-Kuzemkin, T.F. Velenta were used. The authors of the article come to the conclusion that stress is a part of life, and the slings and arrows of misfortune hit all families throughout their lives. The concept of family resilience confirms the reparative potential of all families and offers a valuable basis for research and clinical practice. Just as families face a variety of challenges, there are many ways to increase family resilience. By understanding key processes, clinicians can mobilize untapped resources, allowing families in distress to cope with difficulties more effectively and recover through their mutual support and cooperation. Therefore, it is necessary to understand the patterns of crisis situations and the socio-psychological causes of their occurrence.

Main problem: For several years, the state has been trying to reduce bureaucratic processes with entrepreneurs, make accounting transparent, reliable and with less labor costs. At the moment, without digitalization in accounting, it is impossible to predict the further development of trade and economic relations in general, since it significantly affects the sale, movement and shipment of goods. The gradual transition of the economy of the Republic of Kazakhstan to the path of digitalization can be considered the most important condition for the development of both the country’s economy and the Eurasian Economic Union. Digital inspection is the process of monitoring goods using digital systems, which helps reduce the risk of human error. In the context of digitalization, work with documentation should be structured in such a way that access to them is ensured throughout the entire limitation period, thereby facilitating the taxpayer in making the right economic decisions. The purpose of this article is to consider the gradual integration of digitalization into the field of accounting for both small and medium-sized businesses, and also to consider its impact on the business processes of organizations. The main objective of the article is to consider the introduction of digitalization into business processes and possible problems during its integration, as well as to identify ways to eliminate them without losses for both the state and small and medium-sized businesses. Methods: In the course of writing this article, a dialectical approach was mainly used, which made it possible to examine in detail the process of reflecting and controlling document flow when moving goods in the context of digitalization. Approaching the issue theoretically and summarizing practical experience, it was possible to identify the positive and negative aspects of accounting and control of the movement of goods on the territory of the Republic of Kazakhstan and beyond its borders in the conditions of rapidly developing digitalization. Results and their significance: This article reflects the main directions of modernization of accounting and operational accounting in Kazakhstan in the context of the progressive digitalization of the economy. The necessity of creating an information environment for managing economic processes and optimizing the operational activities of an enterprise is substantiated, and the positive and negative aspects of the integration of various information systems and modules for maintaining accounting and operational records at an enterprise are considered