The relevance of this study is determined by complete absence of serious research in the use of flipped learning model (FLM) in teaching students of engineering universities Descriptive Geometry, Engineering and Computer Graphics, Computer Geometry (DGECGCG); by the absence of scientifically-based, tried and tested programs and teaching materials for flipped DGECGCG learning; as well as by the need for the development of new, modern tools to support classroom work and forms of students' individual work. The purpose of the study is to examine the current state of knowledge and practice of existing DGECGCG courses, using the "flipped" concept as the main pedagogical strategy. Research methods of the issues were: pedagogical experiment, expert assessment (individual and collective) and cluster analysis (Euclidean distance, squared Euclidean distance, Ward's clustering methods). The experiment involved 25 first-year students of Electromechanical and Mining faculties and 4 lecturers of the Department of Descriptive Geometry and Graphics of the Saint Petersburg Mining University. The results showed that since 2012, flipped learning has gained popularity not only among school teachers, but among professors of engineering universities. This article represents a synthesis of qualitative and quantitative researches of flipped learning models in the field of engineering education; students' attitude towards flipped learning, the role of teaching materials as well as the role of professor's personality have been identified. Advantages and disadvantages of this learning model have been revealed. The study proved the absence of scientifically-based and tried and tested programs and instructional materials for teaching students DGECGCG using FLM. The need of further scientific researches of flipped DGECGCG learning models has been identified. Recommendations for training students have been provided. The materials of the article can be useful for Professors in the field of engineering. M. V. Voronina et al. / Systematic Review of a Flipped Learning Model in DGECGCG 4832

This study’s urgency is determined by absence of serious researches in the usage area of «flipped» learning model (FLM) applied to engineering geometry and computer graphics (EGCG); by absence of scientifically-based, tested and implemented programs and learning materials for EGCG FLM; as well as by the need for development of new modern tools to support classroom work and forms of students’ individual work. The purpose of this study is to examine the current state of knowledge and practice of existing EGCG courses, using the FLM concept as the main pedagogical strategy. Research methods are pedagogical experiment, expert assessment, cluster analysis. Problem state: since 2012 the FLM approach has gained popularity not only in schools but also in engineering universities. FLM presents opportunities for solutions of complex pedagogic problems in engineering education, but creates some difficulties in model implementation preparing. Most of based on the FLM researches in the area of engineering education have been conducted on the basis of short-term studies, and on feedback from professors and students and their reviews. Theoretical and practical contribution of materials: this paper represents a synthesis of qualitative and quantitative researches on engineering courses using the FLM. The study has demonstrated that the issues of EGCG FLM have not been investigated in the scientific and methodological literature. Has been identified students relation to the FLM, as well as to the role of learning materials and professor’s personality in the FLM. Advantages and disadvantages of the FLM have been revealed, and recommendations on students training have been presented. Study significance: the study has proved the absence of scientifically-based, tested and implemented programs and learning materials for students learning on EGCG using FLM. To create reasonable theoretical bases for pedagogy in the area of EGCG FLM, as well as corresponding evaluation methods it is necessary to conduct further scientific researches examining various aspects related to practical implementation of long-term programs and learning materials. This paper’s materials can be useful for lecturers of technical universities.

The availability of the material and technological capabilities of modern information and communication technologies in the field of education allows, on the one hand, to realize the creative potential of each teacher in creating such tools as educational and methodological complexes, applications, simulators, educational games, and so on, significantly changing the pedagogical tools, and on the other hand, the expanding range of newly created teaching aids causes an urgent need for an adequate assessment of their impact on learning outcomes. The purpose of the work is to evaluate the effectiveness of using the simulator program for independent studies of students in the discipline "Descriptive geometry". The work used such research methods as questionnaires using Google Forms, testing, timing, statistical data processing, comparison of control and experimental groups, construction of bar and pie charts, SWOT analysis. In the process of pedagogical research, the following platforms and programs were used: LMS Moodle, Microsoft Excel, an original simulator program for the development of students' spatial thinking. It has been established that the developed simulator program for the development of spatial thinking of students of engineering specialties studying the discipline "Descriptive Geometry" allows increasing students' interest in mastering the topics of the discipline, favorably affects the formation of skills for constructing orthogonal projections of a point, reducing the time for solving problems on this topic by 40% and also positively affects the degree of adequacy of students' self-assessment. It has also been established that to check in a semi-automatic mode 80 reports of students on the implementation of individual tasks in the simulator program, the teacher will spend only about 30 ... 40 minutes of his time. At the end of the article, ways to improve the simulator program are given and directions for further research are outlined.

In connection with the development of new methods of nanotechnology, the article discusses the features of the morphology of nanoobjects that determine the relevance of the modernization of the training of undergraduates in the study of the disciplines «Nanomaterial Science», «Nanotechnology», «Descriptive geometry, engineering and computer graphics» and «Computer modeling». Recently, the concept of «cluster» has become relevant due to the trend in the development of nanomaterials. Such nanomaterials obtained using unconventional growth mechanisms (including oriented attachment) are extremely interesting in the field of electronics, photonics and are of great interest for catalysis. The article considers homoatomic clusters constructed from identical structural units. The desire to minimize energy is expressed in the tendency to the densest arrangement of structural units in the cluster. This allows us to assert that cluster structures with the maximum number of connections per structural unit will be the most stable; that clusters tend to a quasi-spherical shape (i.e., cluster sizes along three Cartesian axes should be close if possible, while dense structures are formed, the surface of which is minimal, and the number of connections is maximum); that clusters with higher symmetry are preferable (identical structural units composing the cluster framework should strive to stay in an indistinguishable state and position from each other). The work applies the knowledge and skills laid down by students in the course of engineering and computer graphics to the study of the patterns of processes in the nanowire on the example of the principles of building nanoclusters along a tetrahedral line using three-dimensional modeling in the Autodesk 3ds Max environment. Visualization and visual representation of geometric images of nanoclusters will allow students to avoid a primitive geometric representation of nanoobjects and will serve as motivation to study other natural science subjects. The content of the article is intended for specialists working in the fields of nanotechnology, solid-state electronics, micro- and nanoelectronics, micro- and nanosystem technology, thin-film sensors.