Eugen Ljajko

Eugen Ljajko
University of Pristina · Faculty of Science and Mathematics

Doctor of Education

About

19
Publications
3,114
Reads
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40
Citations
Citations since 2016
16 Research Items
38 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
Additional affiliations
October 2008 - October 2015
University of Pristina
Position
  • Professor (Assistant)
October 2008 - present
University of Pristina
Position
  • Professor (Assistant)
October 2008 - January 2017
University of Pristina
Position
  • Professor
Education
December 2011 - September 2016
University of Novi Sad
Field of study
  • Mathematics Education
October 2005 - December 2007
University of Novi Sad
Field of study
  • Mathematics Education

Publications

Publications (19)
Article
Full-text available
In this paper, the application of homotopy perturbations method (HPM) in approximation the probability distribution of some non-linear stochastic models that have probability densities functions (PDFs) with no closed form is described. The main result is based on HPM approximations the PDFs of some non-linear autoregressive time series, which are w...
Article
Full-text available
One of the main goals of this paper is to obtain new contractive conditions using the method of a strictly increasing mapping F:(0,+∞)→(−∞,+∞). According to the recently obtained results, this was possible (Wardowski’s method) only if two more properties (F2) and (F3) were used instead of the aforementioned strictly increasing (F1). Using only the...
Article
Full-text available
One of the main goals of this paper is to obtain new contractive conditions using the method of a strictly increasing mapping F: (0, +∞) → (−∞, +∞). According to the recently obtained results, this was possible (Wardowski’s method) only if two more properties (F2) and (F3) were used instead of the aforementioned strictly increasing (F1). Using only...
Article
Full-text available
Teacher competencies are among the key factors of a successful mathematics instruction. The main goal of the study was to compare teachers' beliefs and attitudes affected by different strategies in organizing the instruction process. The study gives a comparison of teachers' competencies in three groups of teachers - one teaching mathematics withou...
Article
Full-text available
Many authors used the concept of F −contraction introduced by Wardowski in 2012 in order to define and prove new results on fixed points in complete metric spaces. In some later papers (for example Proinov P.D., J. Fixed Point Theory Appl. (2020)22:21, doi:10.1007/s11784-020-0756-1) it is shown that conditions (F2) and (F3) are not necessary to pro...
Article
Full-text available
Baksalary et al. (Linear Algebra Appl., doi:10.1016/j.laa.2004.02.025, 2004) investigated the invertibility of a linear combination of idempotent matrices. This result was improved by Koliha et al. (Linear Algebra Appl., doi:10.1016/j.laa.2006.01.011, 2006) by showing that the rank of a linear combination of two idempotents is constant. In this pap...
Article
Full-text available
It is widely known that some surfaces contain special curves as a geodesics, while a lots of geodesics on surface have complicated shapes. Goal of this research is to find on what surfaces are u- and v- parameter curves geodesics. Developable surfaces that contain a given plane curve as a geodesic are studied in the article, whereas the plane curve...
Article
Full-text available
In this paper we propose modification of a linear autoregressive moving-average (ARMA) model by using the so-called Noise-Indicator time series. The obtained model, named NIN-ARMA model, is nonlinear threshold autoregressive one. The basic stochastic properties of the NIN-ARMA model have been analyzed and the Empirical Characteristic Function (ECF)...
Conference Paper
Full-text available
The paper deals with effects of using GeoGebra software for organizing an ICT empowered learning environment. The survey included two groups of 6 to 7 year old students-the experimental group working with GeoGebra and the control one working without it. GeoGebra dynamic worksheets (applets) were used in the experimental group for the two-and three-...
Article
Full-text available
The goal of this study is to reveal possible influence that the participants' age and Information and Communications Technologies (ICT) usage in the instruction process can have on behavior that defines whether students and teachers belong to one of the Digital Native/Immigrant or Visitor/Resident groups. We collected data through two surveys that...
Article
Full-text available
The paper deals with two aspects of a computer-based analytic geometry instruction: students achievements, and achievement decay rates. A new mathematics learning environment—a dynamic and interactive one—is being built with introduction of computers and GeoGebra in the classroom. The subject material was introduced to the students mostly through G...
Article
Full-text available
With GeoGebra introduced into mathematics instruction the teaching/learning process is not improved in terms of speed and quality only. Mathematical concepts, rules and procedures must be adjusted to the new environment. On the other hand, characteristics of the computer and the educational software in use must be thoroughly examined and a successf...
Article
Full-text available
In this article the results of teaching/learning hyperbola and its characteristics in high-school using computers and GeoGebra are shown. Students involved in the research attend Engineering School " Nikola Tesla " in Leposavi´c, Serbia. The aim of the research was to define ways and volume of computer and GeoGebra usage in mathematics instruction...
Article
Full-text available
Tema ovog rada je osavremeeivaae procesa uqeea matematike uvooeeem no-vih sadrraja, nastavnih sredstava i koncepata nastave i vannastavnih vidova uqeea. Radi se o predlogu za izuqavaae pribliinog rexavaaa jednaqina uz po-moo raqunara u gimnazijama i tehniqkim xkolama. Naravno, novi sadrraji i suxtinski nova nastavna sredstva zahtevaju i konceptualn...

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The problem is that the group I investigate is subgroup of the group I use to assess the problem difficulty.

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