Pub Date : 2021-03-04DOI: 10.12737/2308-4898-2021-8-4-3-12
A. Girsh
The Euclidean plane and Euclidean space themselves do not contain imaginary elements by definition, but are inextricably linked with them through special cases, and this leads to the need to propagate geometry into the area of imaginary values. Such propagation, that is adding a plane or space, a field of imaginary coordinates to the field of real coordinates leads to various variants of spaces of different dimensions, depending on the given axiomatics. Earlier, in a number of papers, were shown examples for solving some urgent problems of geometry using imaginary geometric images [2, 9, 11, 13, 15]. In this paper are considered constructions of orthogonal and diametrical positions of circles on a complex plane. A generalization has been made of the proposition about a circle on the complex plane orthogonally intersecting three given spheres on the proposition about a sphere in the complex space orthogonally intersecting four given spheres. Studies have shown that the diametrical position of circles on the Euclidean E-plane is an attribute of the orthogonal position of the circles’ imaginary components on the pseudo-Euclidean M-plane. Real, imaginary and degenerated to a point circles have been involved in structures and considered, have been demonstrated these circles’ forms, properties and attributes of their orthogonal position. Has been presented the construction of radical axes and a radical center for circles of the same and different types. A propagation of 2D mutual orthogonal position of circles on 3D spheres has been made. In figures, dashed lines indicate imaginary elements.
{"title":"Circles on the Complex Plane","authors":"A. Girsh","doi":"10.12737/2308-4898-2021-8-4-3-12","DOIUrl":"https://doi.org/10.12737/2308-4898-2021-8-4-3-12","url":null,"abstract":"The Euclidean plane and Euclidean space themselves do not contain imaginary elements by definition, but are inextricably linked with them through special cases, and this leads to the need to propagate geometry into the area of imaginary values. Such propagation, that is adding a plane or space, a field of imaginary coordinates to the field of real coordinates leads to various variants of spaces of different dimensions, depending on the given axiomatics. Earlier, in a number of papers, were shown examples for solving some urgent problems of geometry using imaginary geometric images [2, 9, 11, 13, 15]. In this paper are considered constructions of orthogonal and diametrical positions of circles on a complex plane. A generalization has been made of the proposition about a circle on the complex plane orthogonally intersecting three given spheres on the proposition about a sphere in the complex space orthogonally intersecting four given spheres. Studies have shown that the diametrical position of circles on the Euclidean E-plane is an attribute of the orthogonal position of the circles’ imaginary components on the pseudo-Euclidean M-plane. Real, imaginary and degenerated to a point circles have been involved in structures and considered, have been demonstrated these circles’ forms, properties and attributes of their orthogonal position. Has been presented the construction of radical axes and a radical center for circles of the same and different types. A propagation of 2D mutual orthogonal position of circles on 3D spheres has been made. In figures, dashed lines indicate imaginary elements.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"3 1","pages":"3-12"},"PeriodicalIF":0.0,"publicationDate":"2021-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84602001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-52-66
S. Ignat'ev, A. Folomkin, Z. Tret'yakova, K. Glazunov
The COVID-19 pandemic caused a serious crisis in the Russia’s education system, associated with the simultaneous universal transition to distance learning, which required the mobilization of all information and communication resources, and intensification of efforts to create conditions for e-distance learning implementation. In this paper the organizational and pedagogical conditions for the effectiveness of high educational institutions’ students distance work in the Moodle e-learning environment when studying "Descriptive Geometry" course have been theory-based and defined. Has been performed generalization of pedagogical experience and analysis of scientific literature on education informatization. Have been presented the concept and algorithm of the developed electronic course, which includes interactive lectures, practical studies and test tasks. The system of statistical indicators used to optimize test tasks, whose calculation incorporated into the Moodle system, has been considered: the ease index of test tasks, standard deviation, discrimination index, and discrimination coefficient. Have been presented the results of survey findings for students on the peculiarities of working with "Descriptive Geometry" electronic course. Effective organizational and pedagogical conditions for the widespread introduction of "Descriptive Geometry" electronic course during the pandemic have been identified. In the paper’s postlude have been presented ways for further development and improvement of the electronic course. In particular, for educational process’s quality improvement, it is proposed the follows: - to transfer the input control and assessment of students' subject readiness to study graphic disciplines in the Moodle system; - to create appropriate materials for repeating geometry and drawing school courses, to which a student will be redirected depending on test results; - to develop an e-course working algorithm, building a certain trajectory of learning adapted to a particular student.
{"title":"Moodle E-Learning Environment as an Effective Tool for Descriptive Geometry Teaching Organization in the COVID-19 Pandemic Conditions","authors":"S. Ignat'ev, A. Folomkin, Z. Tret'yakova, K. Glazunov","doi":"10.12737/2308-4898-2020-52-66","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-52-66","url":null,"abstract":"The COVID-19 pandemic caused a serious crisis in the Russia’s education system, associated with the simultaneous universal transition to distance learning, which required the mobilization of all information and communication resources, and intensification of efforts to create conditions for e-distance learning implementation. In this paper the organizational and pedagogical conditions for the effectiveness of high educational institutions’ students distance work in the Moodle e-learning environment when studying \"Descriptive Geometry\" course have been theory-based and defined. Has been performed generalization of pedagogical experience and analysis of scientific literature on education informatization. Have been presented the concept and algorithm of the developed electronic course, which includes interactive lectures, practical studies and test tasks. The system of statistical indicators used to optimize test tasks, whose calculation incorporated into the Moodle system, has been considered: the ease index of test tasks, standard deviation, discrimination index, and discrimination coefficient. Have been presented the results of survey findings for students on the peculiarities of working with \"Descriptive Geometry\" electronic course. Effective organizational and pedagogical conditions for the widespread introduction of \"Descriptive Geometry\" electronic course during the pandemic have been identified. In the paper’s postlude have been presented ways for further development and improvement of the electronic course. In particular, for educational process’s quality improvement, it is proposed the follows: \u0000- to transfer the input control and assessment of students' subject readiness to study graphic disciplines in the Moodle system; \u0000- to create appropriate materials for repeating geometry and drawing school courses, to which a student will be redirected depending on test results; \u0000- to develop an e-course working algorithm, building a certain trajectory of learning adapted to a particular student.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"18 1","pages":"52-66"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75063459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-36-43
S. Pushkarev, A. Plaksin, A. Sycheva, P. Harlanova
One of the approaches to the construction of graphic images of the stress state for the force vector applied to a point is considered in this work. Has been proposed a geometric model for a continuous medium, formed by a bunch of projection planes for each point of the examined object’s space. This permits to obtain a model for a volume vector in the form of a distributed decomposition into stress components at each point specified by a bunch of projection planes. The building a model for a volume vector, defined as a set of specified laws of direction and length, in the context of modeling stress from an applied force vector to a selected point, is based on strength of materials’ classical laws for calculation the stress state values at an inclined section. Such approach allows use a voxel graphic structure for computer representation of the simulated stress, rather than a finite element mesh. In such a case, there is no obtained result’s error dependence on the spatial position of the mesh nodal points, which is often a problem in FEM calculations. The resulting functional-voxel computer model of the volume stress vector is a structural unit for modeling the distributed load on areas of complex configuration. In this case, the elementary summation of such vectors allows any uneven distribution of the load relative to each point on the specified area. The considered approach works well with geometric models initially represented analytically in the form of a function space (for example, models obtained by the R-functional modelling – RFM-method), and reduced to functional-voxel computer models. A method for deformation modeling based on obtained stresses by means of local transformations of the function space, describing the investigated geometric object, is demonstrated.
{"title":"Geometric Modeling of Stress Visualization Tools Based on the Functional-Voxel Method","authors":"S. Pushkarev, A. Plaksin, A. Sycheva, P. Harlanova","doi":"10.12737/2308-4898-2020-36-43","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-36-43","url":null,"abstract":"One of the approaches to the construction of graphic images of the stress state for the force vector applied to a point is considered in this work. Has been proposed a geometric model for a continuous medium, formed by a bunch of projection planes for each point of the examined object’s space. This permits to obtain a model for a volume vector in the form of a distributed decomposition into stress components at each point specified by a bunch of projection planes. \u0000The building a model for a volume vector, defined as a set of specified laws of direction and length, in the context of modeling stress from an applied force vector to a selected point, is based on strength of materials’ classical laws for calculation the stress state values at an inclined section. Such approach allows use a voxel graphic structure for computer representation of the simulated stress, rather than a finite element mesh. In such a case, there is no obtained result’s error dependence on the spatial position of the mesh nodal points, which is often a problem in FEM calculations. \u0000The resulting functional-voxel computer model of the volume stress vector is a structural unit for modeling the distributed load on areas of complex configuration. In this case, the elementary summation of such vectors allows any uneven distribution of the load relative to each point on the specified area. \u0000The considered approach works well with geometric models initially represented analytically in the form of a function space (for example, models obtained by the R-functional modelling – RFM-method), and reduced to functional-voxel computer models. \u0000A method for deformation modeling based on obtained stresses by means of local transformations of the function space, describing the investigated geometric object, is demonstrated.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"36 1","pages":"36-43"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79057674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-3-24
V. Korotkiy
In this paper are considered historically the first (the 60’s of the 20th century) computational methods for algebraic cubic curves constructing. The analysis of a general cubic curve equation r(t)=a3t3+a2t2+a1t+a0 has been carried out. As an example has been considered the simplest cubic curve r(t)=it3+jt2+kt. Based on the general cubic curve equation have been obtained equations of a cubic curve passing through two predetermined points and having predetermined tangents at these points. The equations have been presented both in Ferguson and Bézier forms. It has been shown that the cubic curve vector equation (for example, the standard equation of a Bezier curve) can be represented in a point form. Have been considered examples for constructing segments of cubic curves meeting the given boundary conditions. The generalized cubic curve equation, containing weight coefficients, has been obtained by the method of exit into four-dimensional space. Has been considered a vector parametric equation of a conical section, passing through two given points and touching predetermined straight lines at these points. The conical section is considered as a special case of a cubic curve. Curvature can be specified as an additional boundary condition. Has been considered the possibility for constructing a cubic curve with fixed positions of contacting planes at end points and given radii of curvature. Has been proposed an algorithm for constructing a plane cubic curve with a given curvature at the end points. Have been considered algorithms for constructing smooth compound Ferguson-Bezier curves. Smoothness conditions are imposed on a compound curve: 1) at any of its points, the curve must have a tangent (no fractures are allowed), 2) the curvature vector must be changed continuously from point to point (no discontinuous jump in the curvature vector is allowed neither in modulus no in direction). Have been proposed examples for constructing compound Ferguson-Bézier curves. Has been performed comparison of polynomial cubic spline with compound parametrically defined curves. Have been given examples for constructing cubic splines with fastened and free ends. The paper is for educational purposes, and intended for in-depth study of computer graphics basics.
{"title":"Cubic Curves in Engineering Geometry","authors":"V. Korotkiy","doi":"10.12737/2308-4898-2020-3-24","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-3-24","url":null,"abstract":"In this paper are considered historically the first (the 60’s of the 20th century) computational methods for algebraic cubic curves constructing. The analysis of a general cubic curve equation r(t)=a3t3+a2t2+a1t+a0 \u0000has been carried out. As an example has been considered the simplest cubic curve r(t)=it3+jt2+kt. \u0000Based on the general cubic curve equation have been obtained equations of a cubic curve passing through two predetermined points and having predetermined tangents at these points. \u0000The equations have been presented both in Ferguson and Bézier forms. It has been shown that the cubic curve vector equation (for example, the standard equation of a Bezier curve) can be represented in a point form. Have been considered examples for constructing segments of cubic curves meeting the given boundary conditions. \u0000The generalized cubic curve equation, containing weight coefficients, has been obtained by the method of exit into four-dimensional space. Has been considered a vector parametric equation of a conical section, passing through two given points and touching predetermined straight lines at these points. The conical section is considered as a special case of a cubic curve. \u0000Curvature can be specified as an additional boundary condition. Has been considered the possibility for constructing a cubic curve with fixed positions of contacting planes at end points and given radii of curvature. Has been proposed an algorithm for constructing a plane cubic curve with a given curvature at the end points. \u0000Have been considered algorithms for constructing smooth compound Ferguson-Bezier curves. Smoothness conditions are imposed on a compound curve: 1) at any of its points, the curve must have a tangent (no fractures are allowed), 2) the curvature vector must be changed continuously from point to point (no discontinuous jump in the curvature vector is allowed neither in modulus no in direction). Have been proposed examples for constructing compound Ferguson-Bézier curves. \u0000Has been performed comparison of polynomial cubic spline with compound parametrically defined curves. Have been given examples for constructing cubic splines with fastened and free ends. \u0000The paper is for educational purposes, and intended for in-depth study of computer graphics basics.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"32 1","pages":"3-24"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76931892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-67-86
S. Ignat'ev, Z. Tret'yakova, M. Voronina
The research relevance is due to the growing interest of teachers in introducing Augmented Reality (AR) technologies into the course of Engineering and Computer Graphics (ECG). The research aims to study the current state of knowledge and practice of existing courses using AR-technologies, including those for geometric-graphic training of high educational institutions students. The research object was the subject readiness of engineering students to master graphic disciplines based on the AR-concept. More than 200 scientific papers published between 2005 and 2020 were selected to review the qualitative and quantitative AR-research in the education area. For this purpose, the following factors were taken into account: category of educational institution and student, publication year, academic discipline, AR-technologies. Have been presented examples for AR-technologies implementation at different levels of education, such as preschool, school, higher and special ones. Special focus has been on consideration of teachers’ experience related to AR-technologies introducing in geometric training courses. It has been revealed that at present the AR-concept has gained popularity not only among designers, but also among schoolteachers, as well as among engineering high educational institutions’ lecturers. The lack of sufficient amount of scientifically based and tested programs and training materials for student teaching on ECG using AR has been proved. The necessity for further scientific research in the area of AR application to teach students on ECG has been justified. The research base was St. Petersburg Mining University. The paper materials may be useful for high educational institutions’ lecturers, schoolteachers, and parents.
{"title":"Review of Educational Courses Based on Augmented Reality Technologies","authors":"S. Ignat'ev, Z. Tret'yakova, M. Voronina","doi":"10.12737/2308-4898-2020-67-86","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-67-86","url":null,"abstract":"The research relevance is due to the growing interest of teachers in introducing Augmented Reality (AR) technologies into the course of Engineering and Computer Graphics (ECG). The research aims to study the current state of knowledge and practice of existing courses using AR-technologies, including those for geometric-graphic training of high educational institutions students. The research object was the subject readiness of engineering students to master graphic disciplines based on the AR-concept. More than 200 scientific papers published between 2005 and 2020 were selected to review the qualitative and quantitative AR-research in the education area. For this purpose, the following factors were taken into account: category of educational institution and student, publication year, academic discipline, AR-technologies. Have been presented examples for AR-technologies implementation at different levels of education, such as preschool, school, higher and special ones. Special focus has been on consideration of teachers’ experience related to AR-technologies introducing in geometric training courses. It has been revealed that at present the AR-concept has gained popularity not only among designers, but also among schoolteachers, as well as among engineering high educational institutions’ lecturers. The lack of sufficient amount of scientifically based and tested programs and training materials for student teaching on ECG using AR has been proved. The necessity for further scientific research in the area of AR application to teach students on ECG has been justified. The research base was St. Petersburg Mining University. The paper materials may be useful for high educational institutions’ lecturers, schoolteachers, and parents.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"1 1","pages":"67-86"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89222337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-25-35
L. Zhikharev
In this research is solved the problem for determining of dependencies describing the strength redundancy of a part obtained by means of topology optimization using the SIMP method under a variety of grid’s finite elements. For this purpose, in the research was performed a digital experiment, during which almost fifty variants of part’s computer models were obtained, and their mechanical properties were studied. Based on the obtained data were constructed plots for the strength efficiency of topological optimization, which reflect fractal properties of part’s strength parameters changing. Upon reaching the research goal were solved the problems of software selection and applying a programs combination, which allowed automate the creation of models based on the topology optimization results. The main tool for topology optimization was the Autodesk Fusion 360 product, providing a free access to cloud computing, and Autodesk ReCap Photo was used when models converting. On the results of the experiment were formulated recommendations for obtaining the part’s optimized topology without critical defects of shape, using the SIMP method. With great probability, these recommendations are important when using other methods for topological optimization, such as ESO, BESO, or Level-Set. The received recommendations were tested in solution the problem of increasing the structures’ strength efficiency on the example of the rocker-Bogie wheel suspension using in modern Curiosity-type Mars rovers. The topology optimization results are openwork parts that can withstand heavy loads at low weight. This was confirmed by strength analysis, which had showed an increase in specific strength up to 13.5 times, relative to the prototype used in the Curiosity-type Mars rover’s suspension.
{"title":"Fractal Plots of Topology Optimization Efficiency in Solving of the Problem for Strength Dependence on the Grid","authors":"L. Zhikharev","doi":"10.12737/2308-4898-2020-25-35","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-25-35","url":null,"abstract":"In this research is solved the problem for determining of dependencies describing the strength redundancy of a part obtained by means of topology optimization using the SIMP method under a variety of grid’s finite elements. For this purpose, in the research was performed a digital experiment, during which almost fifty variants of part’s computer models were obtained, and their mechanical properties were studied. Based on the obtained data were constructed plots for the strength efficiency of topological optimization, which reflect fractal properties of part’s strength parameters changing. \u0000Upon reaching the research goal were solved the problems of software selection and applying a programs combination, which allowed automate the creation of models based on the topology optimization results. The main tool for topology optimization was the Autodesk Fusion 360 product, providing a free access to cloud computing, and Autodesk ReCap Photo was used when models converting. \u0000On the results of the experiment were formulated recommendations for obtaining the part’s optimized topology without critical defects of shape, using the SIMP method. With great probability, these recommendations are important when using other methods for topological optimization, such as ESO, BESO, or Level-Set. \u0000The received recommendations were tested in solution the problem of increasing the structures’ strength efficiency on the example of the rocker-Bogie wheel suspension using in modern Curiosity-type Mars rovers. The topology optimization results are openwork parts that can withstand heavy loads at low weight. This was confirmed by strength analysis, which had showed an increase in specific strength up to 13.5 times, relative to the prototype used in the Curiosity-type Mars rover’s suspension.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"14 1","pages":"25-35"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90288314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-87-119
N. Sal'kov
The “Geometry and Graphics” journal is celebrating its eight-year birthday in 2020. It was set up in 2012. From the moment of its set up until 2016, it was the first period of the journal's life, when pedagogical papers were published three times more than the geometrical ones. In 2016 the journal was put in the list of the State Commission for Academic Degrees and Titles in specialties 05.01.01 and 13.08.00. It was the second period in the journal's life. The number of scientific and pedagogical papers have become approximately equal, which indicates a more careful selection of papers for publication in the journal, as well as introduction the apparatus for independent peer review sorting out papers not falling outside the level of the State Commission for Academic Degrees and Titles’ journal. In 2018 the specialty 13.08.00 was removed, only Engineering Geometry and Computer Graphics remained – the third period in the journal's life began, which was characterized by a sharp fall in the number of pedagogical papers, and little wonder. This trend has been demonstrated in the present paper. As a result, if in the first period pedagogical papers in the journal were equal to 3/4 of papers’ total number, in the third period pedagogical papers number had become only 1/4, that is, had decreased by 3 times. From 2019 (No. 4) Pedagogy has returned to the journal – the fourth period has started. Now in the journal there were two specialties again. When the pedagogical direction was again included in the list, the situation related to publication of pedagogical papers in the journal improved, and on the example of three recently published journal numbers, we can say that they began to publish in the journal technical and pedagogical papers in equal measure. This paper aims to show to the reader the scope of pedagogical issues in papers published in the journal and related to geometric education.
{"title":"Geometric Education’s Problems Displaying in the “Geometry and Graphics” Journal","authors":"N. Sal'kov","doi":"10.12737/2308-4898-2020-87-119","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-87-119","url":null,"abstract":"The “Geometry and Graphics” journal is celebrating its eight-year birthday in 2020. It was set up in 2012. From the moment of its set up until 2016, it was the first period of the journal's life, when pedagogical papers were published three times more than the geometrical ones. In 2016 the journal was put in the list of the State Commission for Academic Degrees and Titles in specialties 05.01.01 and 13.08.00. It was the second period in the journal's life. The number of scientific and pedagogical papers have become approximately equal, which indicates a more careful selection of papers for publication in the journal, as well as introduction the apparatus for independent peer review sorting out papers not falling outside the level of the State Commission for Academic Degrees and Titles’ journal. In 2018 the specialty 13.08.00 was removed, only Engineering Geometry and Computer Graphics remained – the third period in the journal's life began, which was characterized by a sharp fall in the number of pedagogical papers, and little wonder. This trend has been demonstrated in the present paper. As a result, if in the first period pedagogical papers in the journal were equal to 3/4 of papers’ total number, in the third period pedagogical papers number had become only 1/4, that is, had decreased by 3 times. From 2019 (No. 4) Pedagogy has returned to the journal – the fourth period has started. Now in the journal there were two specialties again. When the pedagogical direction was again included in the list, the situation related to publication of pedagogical papers in the journal improved, and on the example of three recently published journal numbers, we can say that they began to publish in the journal technical and pedagogical papers in equal measure. This paper aims to show to the reader the scope of pedagogical issues in papers published in the journal and related to geometric education.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"27 1","pages":"87-119"},"PeriodicalIF":0.0,"publicationDate":"2020-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86401885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.12737/2308-4898-2020-44-51
D. Tikhonov-Bugrov, S. Abrosimov
In this paper it is noted that a characteristic and most important feature of domestic education is close interaction of teacher and student, mentoring, the dominant formula: first love, and then teach. It is feared that the teacher-student personal interaction is lost with the introduction of a graduated training system, dominance of all kinds of testing, and development of distance education technologies. At the same time it is noted, that distance education technologies are good for distance learning and self-training, however, they do not contribute to the training of basic, elite specialists. The noted factors give no way to pay due attention to the training of talented students-intellectuals. They are nervous about the popular belief that vast arrays of high intelligence are merely useless for today's society and economy. The results of work in the distance learning conditions at the BSTU "VOENMEKH" chair for graphic training of future specialists in the defense industry’s area are analyzed in this paper. It contains also information on adjustments for the educational process, communication features, and evaluation criteria. The conclusion has been drawn that significant difficulties and contingent losses are associated with the loss of possibility for close teacher-student personal interaction that has not allowed the teacher to show proper love for the student. The assumption that the most of students are unbred to effective independent work was confirmed. The best adapted to this situation were those former scholars who were taught in an environment that allows them to receive electives of engineering profile or special courses. The percentage of students who has not started the distance education or has not coped with it is about 35%, which significantly exceeds the losses of previous years for the same period. At the same time it is noted that past losses were actually determined from the very beginning of training. The current losses have an onset coinciding with the pandemic onset. These data confirm doubts about students' commitment to distance learning.
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Pub Date : 2020-08-17DOI: 10.12737/2308-4898-2020-58-65
O. Nazarova
In an aviation high educational institution, when getting students education in exploitative specialties it must be taken into account that it must be conducted in accordance with necessary requirements to the formedness level of professional competences in a specialized area. The planned results of “Applied Geometry and Engineering Graphics” learning include knowledge of methods for applied engineering and geometric problems solving, the ability to use the main elements of applied geometry and engineering graphics in professional activities, and solving of specific applied problems related to geometric modeling. The results of “Applied Geometry and Engineering Graphics” study are to gain experience and skills for solution of cognitive, organizational and other problems by themselves related to students’ future professional activities. In this paper are considered the main problems and tasks to be solved to achieve the necessary level for compliance of a student studying in one of the exploitative specialties at the Ulyanovsk Institute of Civil Aviation named after Chief Marshal of Aviation B.P. Bugaev, with professional competencies and modern educational standards. Issues related to the organization of “Applied Geometry and Engineering Graphics” discipline study, such as computerization of the educational process, use of distance learning technologies in the educational process, formation of students’ cognitive interest and spatial imagination. Has been presented the proposed structure of “Applied Geometry and Engineering Graphics” course for the exploitative specialties of Ulyanovsk Institute of Civil Aviation; the need to develop a task book for classroom and home works, taking into account their applied value for formation of professional competencies, has been justified.
{"title":"Modern Problems of “Applied Geometry and Engineering Graphics” Course Teaching For Exploitative Specialties of an Aviation High Educational Institution","authors":"O. Nazarova","doi":"10.12737/2308-4898-2020-58-65","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-58-65","url":null,"abstract":"In an aviation high educational institution, when getting students education in exploitative specialties it must be taken into account that it must be conducted in accordance with necessary requirements to the formedness level of professional competences in a specialized area. The planned results of “Applied Geometry and Engineering Graphics” learning include knowledge of methods for applied engineering and geometric problems solving, the ability to use the main elements of applied geometry and engineering graphics in professional activities, and solving of specific applied problems related to geometric modeling. \u0000The results of “Applied Geometry and Engineering Graphics” study are to gain experience and skills for solution of cognitive, organizational and other problems by themselves related to students’ future professional activities. \u0000In this paper are considered the main problems and tasks to be solved to achieve the necessary level for compliance of a student studying in one of the exploitative specialties at the Ulyanovsk Institute of Civil Aviation named after Chief Marshal of Aviation B.P. Bugaev, with professional competencies and modern educational standards. Issues related to the organization of “Applied Geometry and Engineering Graphics” discipline study, such as computerization of the educational process, use of distance learning technologies in the educational process, formation of students’ cognitive interest and spatial imagination. \u0000Has been presented the proposed structure of “Applied Geometry and Engineering Graphics” course for the exploitative specialties of Ulyanovsk Institute of Civil Aviation; the need to develop a task book for classroom and home works, taking into account their applied value for formation of professional competencies, has been justified.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"125 1","pages":"58-65"},"PeriodicalIF":0.0,"publicationDate":"2020-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80441036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-17DOI: 10.12737/2308-4898-2020-82-100
N. Sal'kov, N. Kadykova
In the paper "On the Increasing Role of Geometry", published in the electronic "Journal of Natural Science Research" in 2017, it was outspoken a hypothesis that now, at the time of innovative technologies, the importance of geometry is constantly increasing. The significance of geometry is also demonstrated by numerous Ph.D. and doctoral dissertations in the specialty No 05.01.01 - “Engineering Geometry and Computer Graphics”. It can be affirmed that all and everyone dissertations of technical and technological profile contain a geometric component to one degree or another. The "Geometry and Graphics" journal turned 8 (it was founded in June 2012). During this time, on its pages have been published numerous scientific papers, developing namely geometry and its branches: from simplest geometric constructions based on new properties of both lines and surfaces, to imaginary elements. Investigations were conducted in the following areas: “New Directions in Geometry”, “Fractal Geometry”, “Multidimensional Geometry”, “Geometric Constructions”, “Construction and Research of Surfaces”, “Imaginary Geometry”, “Practical Application of Geometry”, “Computer Graphics”, “Descriptive Geometry as Basis of other Branches of Geometry” ,”Geometry of Phase Spaces”. The journal publishes both recognized scientists and candidate for Ph.D. and doctor degrees. The considered array of papers clearly confirms the statement of the majority of authors, published in the journal, about geometry continuous development, which knocks out the ground for skeptics who decided that geometry is the science of the past centuries. As long as objects with shapes and surfaces surround us, geometry will be in demand. This, as they say, is unequivocal.
{"title":"Representation of Engineering Geometry Development in “Geometry and Graphics” Journal","authors":"N. Sal'kov, N. Kadykova","doi":"10.12737/2308-4898-2020-82-100","DOIUrl":"https://doi.org/10.12737/2308-4898-2020-82-100","url":null,"abstract":"In the paper \"On the Increasing Role of Geometry\", published in the electronic \"Journal of Natural Science Research\" in 2017, it was outspoken a hypothesis that now, at the time of innovative technologies, the importance of geometry is constantly increasing. The significance of geometry is also demonstrated by numerous Ph.D. and doctoral dissertations in the specialty No 05.01.01 - “Engineering Geometry and Computer Graphics”. It can be affirmed that all and everyone dissertations of technical and technological profile contain a geometric component to one degree or another. The \"Geometry and Graphics\" journal turned 8 (it was founded in June 2012). During this time, on its pages have been published numerous scientific papers, developing namely geometry and its branches: from simplest geometric constructions based on new properties of both lines and surfaces, to imaginary elements. Investigations were conducted in the following areas: “New Directions in Geometry”, “Fractal Geometry”, “Multidimensional Geometry”, “Geometric Constructions”, “Construction and Research of Surfaces”, “Imaginary Geometry”, “Practical Application of Geometry”, “Computer Graphics”, “Descriptive Geometry as Basis of other Branches of Geometry” ,”Geometry of Phase Spaces”. The journal publishes both recognized scientists and candidate for Ph.D. and doctor degrees. \u0000The considered array of papers clearly confirms the statement of the majority of authors, published in the journal, about geometry continuous development, which knocks out the ground for skeptics who decided that geometry is the science of the past centuries. As long as objects with shapes and surfaces surround us, geometry will be in demand. This, as they say, is unequivocal.","PeriodicalId":12604,"journal":{"name":"Geometry & Graphics","volume":"70 1","pages":"82-100"},"PeriodicalIF":0.0,"publicationDate":"2020-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89418589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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