With the constant increase of computing power in mobile devices (tablets, smartphones), new prospects have opened up for their application, in particular, in trade, industry, medicine, education, etc. In the field of education, mobile devices have a high potential, which, if properly integrated, can form a new effective learning model. This article is devoted to the development of a mobile application for a multilingual (Kazakh, Russian, English) educational platform for distance learning of physics in higher and secondary educational institutions using augmented reality technology.

Currently, computer‐based training systems, such as virtual laboratories (VLs), are becoming more common not only in universities but also in secondary schools. For physics, VLs are of great importance, as they allow simulating processes that cannot be seen or reproduced. Technologies such as augmented reality (AR) and virtual reality (VR) help us to create such physical visualizations. This study presents a VL, which allows users to solve various physical practical tasks or problems with the help of three‐dimensional process visualizations performed in three different ways, namely desktop VR, AR, and VR using a Leap Motion controller. This study describes in detail the functionality and implementation of a VL. As an experiment, three schools were provided with the necessary equipment and software. Fifty pupils of the 9th grade used the developed VL for half of the academic year, after which they took part in a comprehensive survey. About 88% of them found the laboratory useful for studying physics. The children were satisfied with its functionality and usability. Interviews with teachers helped us to understand which of the three visualization methods is preferable for them and children in the present environment.

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Singular value decomposition is a powerful computational method used to analyze the matrix and which has many applications in various fields. Its essence lies in the expansion of the original matrix as a product of three matrices: two orthogonal and one diagonal. One consequence of this expansion is the possibility of approximating the original matrix, matrix of lower rank, which can significantly compress the information contained in the original matrix. In this work we investigate the impact of this mechanism on the compression frequency matrix "terms-documents" that are based on counting the occurrence of words in natural language texts. A specific example analyzes the physical meaning of such impacts, and provides a new interpretation of the results, useful for analyzing the structure of any real-world objects, for which we can construct a matrix of their states.

Augmented reality (AR) and virtual reality (VR) provide new experiences in the digital and simulation worlds. While they are intended to stimulate users’ perception and senses in general, the two differ significantly. This study aimed to seek and analyze international publications on the trends, similarities, differences, advantages, and disadvantages of AR and VR for learning over the period 2001-2021. In this study, bibliometric analysis using VOSViewer with the help of MS Excel was utilized to visualize metadata obtained from Scopus. Publish or Perish software supported the data collection of this study, which included retrieving and analyzing academic citations. The findings show that the AR/VR has trend continued to rise over the years. The results showed that Denmark and India (based on country bibliographic pairs), Journal of Physics Conference Series (based on journal bibliographic pairs), Y. Zhou publications (2018) (based on bibliographic pairs of publications), and Archana M. (India) with Lars K. (Denmark) (based on author bibliographic pairs) have become the most influential in the field of augmented reality and virtual reality for learning. AR and VR are two technologies changing how people use screens, thus creating new and exciting interactive experiences. In the future, it is expected that further research related to AR/VR and even Mixed Reality (MR) will continue to develop along with technological advancement. However, pedagogical competence remains an essential key to learning.