The relevance of the research results presented in this article lies in the general concept of elasticity theory, which integrates the bases of theoretical-empirical physics, practical mathematics and the natural implementation of modelling results in the fields of industrial (to a large extent in the design and manufacture of aircraft and naval aircraft shells and fuselages), construction (more so in the design and formation of multi-layer building structures), electronics and other areas of the science and industry complex. The aim of the study is to form a mathematical model of thin plate vibration based on a system of differential equations for the computational case of point bonding. The method of scientific search (Multilocal Literature Review) is used to achieve the set goal, which made it possible to establish the actual scientific-theoretical basis of the investigated problem, the method of mathematical modelling allowing to systematize the systems of differential equations developed earlier and formed in the framework of the present study, both for the general concept of the theory of elasticity of thin plates and for a selected calculation situation with partial constraints in the form of point bond imposing. As a result of the investigations conducted in the framework of this study, a mathematical model of the oscillations of thin plates bounded by special point-coupling conditions has been obtained, consisting of a system of differential equations obtained by successive iterations of mathematical transformations for the generated local boundary conditions. The mathematical model obtained is of practical scientific interest. The developed model environment forms a complete mathematical theory of elasticity for the formulated problem of the oscillatory process of thin plates with bounding point couplings. This problem has not received a satisfactory mathematical apparatus because of the complexity and cumbersomeness of analytical methods to describe the investigated elastic object.

In this paper, we introduce non-commutative H E (A; ∞ ) and H E (A; 1 ) spaces. Then it is shown that these spaces possess many of the properties of non-commutative H p (A) spaces, such as various factorization results including a Riesz type factorization theorem and contractibility of conditional expectation.

The trainings given to produce from learning methods and techniques to problem-solving provide permanence in learning. There is a need for regulations so that they can develop the necessary knowledge and skills regarding science, technology, engineering, arts and mathematics (STEAM) education and increase the STEAM workforce in the country. In order for the education to be supported by technology, the teachers who provide education should have the qualification for these technologies. In this study, it is aimed to determine the opinions of prospective teachers studying in the science department, who are important stakeholders of the learning–teaching process, about STEAM education, which attracts great attention in the world. It is a prerequisite for this study for them to have taken the STEAM application in their courses. It is thought that this study, which deals with an up-to-date teaching approach, will be important for programme developers and science educators and to determine the opinions of prospective teachers who will give education in the future about this technology. The study is a case study from the qualitative research method design. For the research data, open-ended questions were prepared by the researchers, after obtaining expert opinions. The study group of the research consisted of 45 senior students studying science teaching at a private university. As a result of the research, it was concluded that the STEAM application was effective in teaching. It was stated that positive gains were achieved in students with the inclusion of art in the science, technology, engineering and mathematic activity. It was concluded that some preparations should be made before and during the implementation of the STEAM activity.   Keywords: Technology, STEAM education, science, pre-service teacher, teaching;