Papers by Petra Surynková
On the Analysis of Mathematics Content in Czech Upper Secondary School Education from the Perspective of Types of Geometric Tasks
INTED proceedings, Mar 1, 2021
Experiences Gained from Teaching Spatial Geometry with 3D Computer Modeling
EDULEARN proceedings, Jul 1, 2020
On the Analysis of Mathematics Content in Czech Upper Secondary School Education from the Perspective of Types of Geometric Tasks
INTED2021 Proceedings
Experiences Gained from Teaching Spatial Geometry with 3D Computer Modeling
EDULEARN Proceedings
Title: Analysis of Point Clouds Representing Surfaces of Engineering Practice Author: Petra Suryn... more Title: Analysis of Point Clouds Representing Surfaces of Engineering Practice Author: Petra Surynková Department: Department of Mathematics Education Supervisor: Mgr. Šárka Voráčová, Ph.D., Faculty of Transportation Sciences, Czech Technical University in Prague Abstract: The doctoral dissertation Analysis of Point Clouds Representing Surfaces of Engineering Practice addresses the development and application of methods of digital reconstruction of surfaces of engineering and construction practice from point clouds. The main outcome of the dissertation is a presentation of new procedures and methods that contribute to each of the stages of the reconstruction process from the input point clouds. The work is mainly focused on the analysis of input clouds that describe special types of surfaces. Several completely new algorithms and improvements of existing algorithms that contribute to individual steps of surface reconstruction are presented. New procedures are based on geometrical cha...
HAL (Le Centre pour la Communication Scientifique Directe), Feb 2, 2022
The aim of the presented study was to measure whether 3D computer and 3D printed models could imp... more The aim of the presented study was to measure whether 3D computer and 3D printed models could improve students' performance in testing their spatial ability and what brings the greater benefits. This study employed a quasi-experimental approach with a total of 25 secondary school students. A pre-test was employed to determine each student's level of spatial ability, namely the Mental Rotations Test. All students were taught the topic of three-dimensional geometry using 3D physical printed models, 3D virtual computer models or 2D drawings of 3D objects. A newly designed 3D geometry post-test was used in two groups of students-the first group was allowed to manipulate 3D printed models, the second group was allowed to use 3D computer models during the test. The group with 3D computer models outperformed peers with 3D printed models but a statistically significant difference was not found. Afterwards, the same students were tested again using the identical 3D geometry test without any visual aids. It was concluded that the 3D computer models provided statistically significant higher scores in comparison to the absence of any visual aid.
Czech and Slovak intended curricula in science subjects and mathematics: a comparative study
International Journal of Science Education
Surfaces of Building Practice
My diploma thesis Surfaces of Building Practice deals with the basic properties of surfaces, thei... more My diploma thesis Surfaces of Building Practice deals with the basic properties of surfaces, their mathematical description, categorization, and application in technical practice. Each studied surface is defined and its process of construction and parametrical description is listed. The thesis studies selected types of surfaces in details - these surfaces include surfaces of revolution, ruled surfaces, screw surfaces, and translational surfaces. An application of each studied surfaces is shown and each surface is accompanied with a picture. The thesis also contains a picture attachment with photographs of buildings from all over the world on that the studied surfaces visibly appear. The diploma thesis has an attached DVD that contains studied surfaces as models created in the Maple program, presentation with animations showing creation of selected surfaces, and the diploma thesis in the electronic format. Apart from these, the DVD contains source files of all pictures in the thesis....
Sustainability, 2021
Environmental education has been included in Czech curricula since the 1980s, albeit without clea... more Environmental education has been included in Czech curricula since the 1980s, albeit without clear evidence of education for sustainable development (SD), which addresses complex socio-economic issues using SD indicators (SDIs), such as charts, single numbers, tables, maps, and (interactive) images. However, understanding such a comprehensive topic requires developing basic mathematical knowledge and skills. In this study, we aimed to analyse the nature, quality, and availability of teaching materials for SD, primarily using SDIs, which could be applied by Czech teachers. For this purpose, we performed a qualitative and basic quantitative content analysis of several descriptors of documents retrieved from a website for teachers, provided by the National Pedagogical Institute of the Czech Republic. A full-text search identified 1376 records, which were analyzed for SD pillars and SDIs. Our results showed that most records (95%) do not contain SDIs in teaching materials. Only 59 recor...
In my research, I investigate innovative methods of explaining complex concepts in descriptive ge... more In my research, I investigate innovative methods of explaining complex concepts in descriptive geometry. These novel methods will be employed in my upcoming textbook on descriptive geometry for undergraduate students. The innovation in explanation and didactic methods will include 3D computer modelling and interactive software visualization. In this paper, I will present my recent advances in teaching aspects of several descriptive geometry topics – parallel and central projections, especially linear perspective or the geometry of curves and the geometry of surfaces in technical practice. For selected topics, I will provide examples of usage of 3D computer modelling. My aim is to stimulate students’ interest in the study of geometry, motivate them, improve their understanding of geometry, innovate the methods of teaching geometry, achieve better results in examinations and put emphasis on practical use of geometry. I would like to attract students to the traditional topics of descri...
Pre-Service Mathematics Teacher Education: Testing and Improvements of Spatial Skills
INTED Proceedings, 2020
Analýza bodových množin reprezentujících povrchy technické praxe
Central and Parallel Projections of Regular Surfaces: Geometric Constructions Using 3D Modeling Software
The contribution addresses the constructions of central and parallel projections of regular surfa... more The contribution addresses the constructions of central and parallel projections of regular surfaces which can be regarded as a subarea of descriptive geometry. My aim is to increase the interest of students in classical and descriptive geometry primarily through 3D computer modeling. I have been seeking to establish a stronger connection between descriptive geometry and its practical applications and to extend descriptive geometry with knowledge of computer graphics and computer geometry. In order to provide insight into more complex geometric problems and to increase the interest in geometry, I have integrated 3D computer modeling in my lectures and seminars. Geometry is a necessary component of many engineering processes such as the development of innovative graphics software or the design of complex industrial and architectural structures. My aim is to show that the principles and knowledge of classical and descriptive geometry are the stepping stones for solving tasks in practice.
The article discusses innovative methods in modernization of teaching descriptive geometry at the... more The article discusses innovative methods in modernization of teaching descriptive geometry at the Faculty of Mathematics and Physics at Charles University in Prague. Our goal is to increase interest in studying classical and descriptive geometry primarily through 3D computer modelling. I have been seeking to establish a stronger connection between descriptive geometry and its practical application and the extension of descriptive geometry with knowledge of computer graphics and computer geometry. The integration of descriptive geometry with 3D computer modelling appears to follow as a logical step. In order to provide insight into more complex geometric problems and to increase the interest in geometry, I have integrated 3D computer modelling in my descriptive geometry lessons. I plan to use outputs from 3D computer modelling software into my new textbook on descriptive geometry for undergraduate students.
Geometrie pohybu II: Obálky křivek
V druhem dile o geometrii pohybu rozsiřime nase uvahy o dalsi kinematicky vytvořene křivky, na za... more V druhem dile o geometrii pohybu rozsiřime nase uvahy o dalsi kinematicky vytvořene křivky, na zakladě experimentů zkusime odhadnout, o jake křivky se jedna, a podložime nase odhady rovněž výpocty.
The problem of mesh matching is addressed in this work. For a given n-sided planar region bounded... more The problem of mesh matching is addressed in this work. For a given n-sided planar region bounded by one loop of n polylines we are selecting optimal quadrilateral mesh from existing catalogue of meshes. The formulation of matching between planar shape and quadrilateral mesh from the catalogue is based on the problem of finding longest common subsequence (LCS). Theoretical foundation of mesh matching method is provided. Suggested method represents a viable technique for selecting best mesh for planar region and stepping stone for further parametrization of the region.
The contribution is focused on geometry which can be observed in jewelry, especially made from th... more The contribution is focused on geometry which can be observed in jewelry, especially made from the beads. Geometric patterns which can be used in making jewelry from the beads are enormously varied and based on various geometric principles. We can mention tessellations of a plane, fractals, plane and space symmetries, transformations, and many more. This article shows several proposals of a design of necklaces and bracelets with specific geometric patterns and extends the range of possibilities used in jewelry art.
Application of Longest Common Subsequence Algorithms to Meshing of Planar Domains with Quadrilaterals
The problem of mesh matching is addressed in this work. For a given n-sided planar region bounded... more The problem of mesh matching is addressed in this work. For a given n-sided planar region bounded by one loop of n polylines we are selecting optimal quadrilateral mesh from existing catalogue of meshes. The formulation of matching between planar shape and quadrilateral mesh from the catalogue is based on the problem of finding longest common subsequence (LCS). Theoretical foundation of mesh matching method is provided. Suggested method represents a viable technique for selecting best mesh for planar region and stepping stone for further parametrization of the region.
abstrakt. Polygonal meshes represent important geometric structures with a large number of applic... more abstrakt. Polygonal meshes represent important geometric structures with a large number of applications. The study of polygonal meshes is motivated by many processing tasks in automotive/aerospace industry, egineering, architecture, engineering, construction industry, and industrial design. Much of literature on polygonal representations focuses on quadrilateral meshes which are composed of quadrilaterals as they possess several advantages compared to triangle meshes. In this short contribution we present a comparative study of known methods for constuctions of quadrangulations of various classes and for different purposes. We suggest a new method for computing all unique quadrilateral meshes of a certain class based on sequential construction.
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Papers by Petra Surynková