Annotation: 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.

Annotation: Das Hauptproblem: die allgegenwärtige Einführung von Informationstechnologien führt zu erheblichen Veränderungen in verschiedenen Bereichen der menschlichen Tätigkeit. Auch der Bildungsbereich ist keine Ausnahme. In diesem Zusammenhang hat der Autor in diesem Artikel ein aktuelles Problem behandelt, das in der Entwicklung elektronischer Lehrmittel liegt und eine der aktuellen und vielversprechenden Richtungen der Informatisierung des Bildungsprozesses ist. Es wurden die Arbeiten von Wissenschaftlern S.S. Sysoeva, V.M. Kuharenko, A.I. Bashmakova, T.I. Koval, E.S. Polat, A.Y. Uvarova, P.I. Serdjukow, A.A. Andreev analysiert. Diese Arbeiten enthalten Anforderungen an die Entwicklung elektronischer Lehrmittel. Nach der Analyse beschrieb der Autor die Entwicklungsschritte von elektronischen Lernprogrammen, die Prinzipien, denen sie entsprechen sollten, und führte eine Liste der Module an, aus denen das elektronische Lernprogramm bestehen sollte. Aus der vorhandenen Vielfalt an Softwarekomplexen hebt der Autor CourseLab, Smart Builder, MOS Solo, Google Sites, iSpring Suite, TurboSite, Adobe Animate, HTML5 hervor. Die Entwicklung von elektronischen Lehrmitteln für die vom Autor des Artikels vorgestellte Technologie und deren anschließende Anwendung im Bildungsprozess wird dazu beitragen, die Lehr- und kognitive Aktivität der Lernenden auf einem effizienteren Niveau zu organisieren. Zweck: beschreibung der Technologie zur Entwicklung von elektronischen Lernprogrammen unter Berücksichtigung bestehender Anforderungen. Methoden: der Artikel verwendete Methoden zur Analyse, Synthese und Abzug. Die Analyse der Anforderungen und Prinzipien für die Entwicklung elektronischer Lernprogramme basiert auf einer deskriptiven und analytischen Methode. Ergebnisse und ihre Bedeutung: das praktische Ergebnis der vorgeschlagenen Technologie war das entwickelte elektronische Lernprogramm «Entwicklung mobiler Anwendungen». Die Ergebnisse der Studie haben neben der theoretischen Bedeutung auch eine praktische Bedeutung, die in einer positiven Dynamik liegt, um den Widerspruch zwischen dem ständig wachsenden Informationsfluss und der begrenzten Fähigkeit der Lernenden, ihn zu erlernen, zu lösen. Die bewusste Verwendung elektronischer Lehrmittel im Lernprozess ist eine grundlegende Möglichkeit, die Bildungsqualität zu verbessern, indem die verwendeten Unterrichtsmethoden und -techniken in Richtung Individualisierung und Fokussierung auf den Lernenden geändert werden.

Annotation: Based on the psychological aspect of the concept of "qualification", the article analyzes the main directions of the formation of methodological qualifications of future teachers of mathematics and advanced training in pedagogical universities. It is possible to achieve high-quality teaching of geometric subjects in higher educational institutions by using methodological and meaningful methods in organizing the educational process. The creation of a certain structure of the educational process, the definition of teaching methods and means, the careful selection of subject content were determined by the specific principles of pedagogy. Basically, these principles are the real achievements of modern pedagogy and are constantly changing. The existing system of didactic principles can be gradually changed and expanded The purpose is to choose the main didactic principles and to offer a scientific-methodological basis for improving the methodological preparation of future mathematics teachers in the Pedagogical University for solving and teaching geometrical problems. In this regard, interviews, questionnaires, analysis of the curriculum and its content, as well as discussions with experienced teachers and methodologists in teaching geometry were conducted; pedagogical control and diagnostics of the educational process were carried out. In order to test the effectiveness of the methods proposed by us, pedagogical experiments were carried out. The entire system of training future teachers of mathematics faces new challenges related to the implementation of effective didactic principles for teaching geometry in pedagogical universities. First of all, it is the principle of mastering innovative teaching methods of the future teacher of mathematics and the principle of mastering new pedagogical and information technologies of education. The results of the study can be used as a methodological basis for further research on the professional orientation of teaching mathematics in universities.