Education technology based on a 3D model of house VirTec

In modern teaching, it is necessary to use modern technological achievements to involve students in the learning process, to create and constantly develop interesting and relevant teaching materials. Educational materials in a playful form have the appropriate qualities. Game effects are associated with user participation in the interactive process and provide a high interest in the information offered. Getting feedback in the gameplay is not only an indicator of the success of the educational process but also a guide in the step-by-step movement of the student in the learning process. Simulators of different objects are effective educational material that is available to students, contains the necessary information and functions, is simple and intuitive to use. This article provides an overview of different simulators with the study of the impact of their use on the effectiveness of the educational process. One of the simulators is created in the teamwork of the project “Development of a virtual learning environment in technical higher education” (VirTec, 2018), funded by the Erasmus program for 24 months, which includes organizations from four countries: Estonia, Lithuania, Poland, Turkey, and Croatia.Makuteniene, D.; Ovtšarenko, O.; Safiulina, E.; Timinskas, E. (2020). Education technology based on a 3D model of house VirTec. En 6th International Conference on Higher Education Advances (HEAd'20). Editorial Universitat Politècnica de València. (30-05-2020):545-553. https://doi.org/10.4995/HEAd20.2020.11104OCS54555330-05-202

Innovative teaching methodologies for an online engineering mathematics course

The fast evolution of distance learning tools such as Open Educational Resources (OER)) is an evidence of a shift in the way teaching and learning are understood. Several Higher Education Institutions are trying to increase their efficiency, competitiveness and expand their potential public by investing in the development of online courses, which can offer more interaction and support and be accessible to a larger number of students from a wider sort of backgrounds. The adaptation of a face-to face course into an online one is not simple, as it is not just about uploading lecture videos, sets of notes or lessons, it is necessary to consider the student’s needs, the instructional design and the best digital educational tools in order to support learning and teaching process. A partnership between Higher Education Institutions from six European countries, connecting more than twenty lecturers from distinct knowledge areas, is working on a European Erasmus+ Project, EngiMath, Mathematics online learning model in engineering education. These are developing a shared online platform for teachers to teach Mathematics in the first years of Engineering degrees and, on the other hand, to support student-centric learning and to encourage students to actively engage in the learning process to construct their own learning, addressing the recent requirements for an open, independent, competitive and innovative education. In this context, several new methodological and development issues of the online course will be presented, as well as students’ perceptions and feedback about the pilot course conducted by each institution partner of the project.info:eu-repo/semantics/publishedVersio

Development of a Mathematics On-line Project in Engineering Education

Embracing tertiary education system represents the beginning of a transition and adjustment period for several students. Most of these have just finished high school where the environment is strictly defined, controlled, stable and attendance is mandatory. Higher Education changes the role of students’ responsibility and this can cause stress and difficulty in the transition to selfdirected learning and autonomy promotion. The purpose of this paper is to present an Erasmus+ project that brought together six Higher Education Institutions from different European countries and to describe its current stage. This project aims to develop a shared understanding of engineering mathematics at an early stage of tertiary education and to raise awareness of cultural, professional and educational issues. The initial focus of the work is on the partners’ mutual interest in active learning, particularly the application of Information and Communication Technology in the field of engineering education. When finalised, the project hopes to provide students with a new authentic engineering mathematics subject which meets their needs. This is also the core reason why the on-line course will be composed using innovative pedagogics and ICT tools, as appropriate pedagogics supports students’ procedural, conceptual and application understanding in mathematics and enhances digital competencies, literacy and skills.info:eu-repo/semantics/publishedVersio

Developing interactive e-contents for a mathematic Ersmus+ Project: challenges and experiences

Stimulating students for learning is a regularly recurring theme that never seems finished, remaining in the frontline of teachers’ day to day struggle, and this recurrent factor is exponentiated when the subjects are directly related with Mathematics. In November 2018 the European Project EngiMath started work the development of a common Mathematics course for engineering students from the 6 countries of the consortium – Estonia, Ireland, Poland, Portugal, Romania and Spain. This course will be an online course with all the usual features and e-contents, however the project partners have been particularly focused on the pedagogical features and real digital competences when developing all the materials and interactive e-contents. An exhaustive search has been developed for the best way to build interactive content that would stimulate students to improve their basic mathematical skills, dealing with all the time and financial constraints, common to European higher education. This paper will describe, in a detailed way, all the steps of the construction of the theoretical contents, in English, which are the basis of the course proposed by the project and that are now being translated to each of the five distinct mother languages to avoid the frequent interpretation misleading problems for students and other cultural hitches. These e-contents are based on the construction of SCORM packages (Shareable Content Object Reference Model) for the Moodle platform, created over animated presentations to promote students’ interaction and avoid drop out behaviours.info:eu-repo/semantics/publishedVersio

Online engineering mathematics course: development and implementation of a successful project

According to the New UNESCO global survey studying the effect of Covid-19 on higher education (2021) the pandemic has had an impact on higher education systems in terms of access and quality of teaching and learning. Covid-19 has caused the suspension and cancellation of teaching activities and its major impact on teaching and learning is the increase in online education. The Engimath - Mathematics on-line learning model in engineering education - was successfully carried out at the very right moment, as in recent two years there has been a significant increase in demand for a 100% online mathematics course with interactive learning materials and largescale practicing opportunities as well as for a mathematics online assessment model. This project has successfully developed a high-level online course as a basis for offering output-oriented education in engineering mathematics. Some of development stages, that led this project – EngiMath - to an outstanding successful end, will be presented in this paper. These go from the educational needs’ analysis to its implementation and use, even allowing an open and live test.info:eu-repo/semantics/publishedVersio

Online engineering mathematics course : development and implementation of a successful project

According to the New UNESCO global survey studying the effect of Covid-19 on higher education (2021) the pandemic has had an impact on higher education systems in terms of access and quality of teaching and learning. Covid-19 has caused the suspension and cancellation of teaching activities and its major impact on teaching and learning is the increase in online education. The Engimath - Mathematics on-line learning model in engineering education - was successfully carried out at the very right moment, as in recent two years there has been a significant increase in demand for a 100% online mathematics course with interactive learning materials and largescale practicing opportunities as well as for a mathematics online assessment model. This project has successfully developed a high-level online course as a basis for offering output-oriented education in engineering mathematics. Some of development stages, that led this project – EngiMath - to an outstanding successful end, will be presented in this paper. These go from the educational needs’ analysis to its implementation and use, even allowing an open and live test.Peer ReviewedObjectius de Desenvolupament Sostenible::4 - Educació de QualitatObjectius de Desenvolupament Sostenible::4 - Educació de Qualitat::4.3 - Per a 2030, assegurar l’accés en condicions d’igualtat per a tots els homes i dones a una formació tècnica, professional i superior de qualitat, inclòs l’ensenyament universitariObjectius de Desenvolupament Sostenible::4 - Educació de Qualitat::4.4 - Per a 2030, augmentar substancialment el nombre de joves i persones adultes que tenen les competències necessàries, en particular tècniques i professionals, per a accedir a l’ocupació, el treball digne i l’emprenedoriaPostprint (published version

Paralleelsed ja semiparalleelsed ruumisarnased madalamõõtmelised alammuutkonnad pseudoeukleidilises ruumis

Väitekirja uurimisvaldkonnaks on diferentsiaalgeomeetria. Ruumisarnast (Riemanni) alammuutkonda nimetatakse semiparalleelseks, kui kehtib suvaliste puutujavektorite X, Y korral. Siin on van der Waerdeni-Bortolotti seostuse kõverusoperaator ja h on teine fundamentaalvorm. Semiparalleelsete alammuutkondade klassis võib eraldada paralleelsete alammuutkondade alamklassi, kuhu kuuluvad alam-muutkonnad paralleelse teise fundamentaalvormiga h. Paralleelseid ja semiparalleelseid alammuutkondi eukleidilises ja konstantse kõverusega ruumis on uurinud mitmed matemaatikud (D. Ferus, J. Deprez, Ü. Lumiste). Käesoleva väitekirja uurimisobjektideks on paralleelsed ja semiparalleelsed ruumisarnased madala-mõõtmelised alammuutkonnad pseudoeukleidilises ruumis Semiparalleelsete alammuutkondade kirjelda-miseks kasutatakse asjaolu, et igaüks neist on paralleelsete alammuutkondade teist järku mähkija.The thesis is a study in differential geometry. A space-like (Riemannian) submanifold is called semi-parallel if (this is the integrability condition of the system h = 0 which characterizes a parallel submanifold. Here is the curvature operator of the van der Waerden-Bortolotti connection and h is the second fundamental form. Parallel and semiparallel submanifolds in the Euclidean space and in the space with a constant curvature have been studied by several mathematicians (e.g. D. Ferus, J. Deprez, Ü. Lumiste). In the present thesis the parallel and semiparallel space-like submanifolds of low dimension in pseudo-Euclidean space are derived. For description of semiparallel submanifolds is used result that every of them is a second order envelope of a family of corresponding parallel submanifolds

Development of a Mathematics On-line Project in Engineering Education

Embracing tertiary education system represents the beginning of a transition and adjustment period for several students. Most of these have just finished high school where the environment is strictly defined, controlled, stable and attendance is mandatory. Higher Education changes the role of students’ responsibility and this can cause stress and difficulty in the transition to self-directed learning and autonomy promotion. The purpose of this paper is to present an Erasmus+ project that brought together six Higher Education Institutions from different European countries and to describe its current stage. This project aims to develop a shared understanding of engineering mathematics at an early stage of tertiary education and to raise awareness of cultural, professional and educational issues. The initial focus of the work is on the partners’ mutual interest in active learning, particularly the application of Information and Communication Technology in the field of engineering education. When finalised, the project hopes to provide students with a new authentic engineering mathematics subject which meets their needs. This is also the core reason why the on-line course will be composed using innovative pedagogics and ICT tools, as appropriate pedagogics supports students’ procedural, conceptual and application understanding in mathematics and enhances digital competencies, literacy and skills

Poster: Technique of Active Online Training: Lessons Learnt from EngiMath Project

The goal of this paper is to introduce a technique of creating self-tests that has allowed to actively incorporate university students into the learning process. The study was conducted within the framework of the Erasmus+ Project EngiMath. Partners’ peer reviews, the survey results and the students’ comments in forums and test results were used to conduct the research. The students’ overall satisfaction was in a high level. However, opportunities for some technical improvement has been emerged like the formulation of the tasks needs to be very clear and the time required to perform the tests must be limited. The following conclusions can be drawn from the study. The use of self-tests at all stages of training has intensified the assimilation of the material, i.e. increased understanding of theoretical material and developed computational skills. By completing a series of such assignments on each topic of the course, students had mastered the methodology of studying the topic and mastered specific teaching material on this topic. Feedback made, taking into account typical errors, has allowed the students to analyse their knowledge. A large number of variations for such tasks has allowed students to be involved in the process of active independent and individualized self-study.info:eu-repo/semantics/publishedVersio

Change in gap perception within current practices in assessing students learning mathematics

The COVID pandemic has touched many aspects of everyone’s life. Education is one of the fields greatly affected by it, as students and teachers were forced to move online and quickly adapt to the online environment. Assessment is a crucial part of education, especially in STEM fields. A gap analysis was performed by expert groups in the frame of an Erasmus+ project looking at the practices of six European countries. Specialists teaching university-grade mathematics in seven European institutions were asked about their perception of gaps in the assessment of students both before (2019) and during (2021) the pandemic. This qualitative study looks at the difference in perception of such gaps after almost one year of online teaching. The analysis of their responses showed that some gaps were present before the pandemic, as well as others that are specific to it. Some gaps, such as the lack of IT infrastructure and the need to adapt materials to an online environment, have been exacerbated by the outbreak.Peer ReviewedPostprint (published version