• Analiza efekata primene GEOGEBRA-e na praćenje nastave geometrije 

      Maksimović, Miroslav; Kontrec, Nataša; Panić, Stefan; Petrović, Milena
      Istraživanja su pokazala da uprkos brojnim prednostima primene savremenih tehnologija u nastavi matematike sam proces uvođenja istih u učionice je spor i dosta složen. Upravo iz tih razloga, ovaj rad istražuje mogućnosti ...
    • Analysis of adaptive e‐learning systems with adjustment of Felder‐Silverman model in a Moodle DLS 

      Zlatković, Dragan; Denić, Nebojša; Petrović, Milena; Ilić, Miloš (Wiley, 2020-05-07)
      E‐learning, as a complex system, includes distance learning, teaching materials in various forms and shapes, group and individual learning processes, as well as interactive and tutorial work. To increase the effectiveness ...
    • Comparative performance analysis of some accelerated and hybrid accelerated gradient models 

      Petrović, Milena; Ivanović, Milica; Đorđević, Marijana
      We analyze a performance profile of several accelerated and hybrid accelerated methods. All comparative methods are at least linearly convergent and have satisfied numerical characteristics regarding tested metrics: number ...
    • Computing support for testing equal values of the figurative numbers in the Pascal triangle 

      Mihajlov Carević, Miroslava; Ilić, Miloš; Petrović, Milena; Denić, Nebojša (Proceedings of the 7th Technium Conference 2020, 2020-09-15)
      In this paper we deal with a method for the determination of numbers in a Pascal triangle that are simultaneously triangular, tetrahedral and pentaedroidni. The collected results, obtained by mathematical analysis, were ...
    • Computing Support in Statistical Evaluation of Mathematics Teaching Effectiveness: Development of Students’ Constructive Thinking 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša; Mitrović, Aleksandra (Technium, 2020-06-15)
      One of the main tasks in teaching mathematics is to develop students’ constructive thinking. In order to effectively accomplish this task, it is necessary to make a good selection of instructional materials and teaching ...
    • Dominating sets on the rhomboidal cactus chains andthe icosahedral network 

      Mihajlov Carević, Miroslava; Petrović, Milena; Nebojša, Denić (2020-03-18)
      In this paper, we deal with the dominating set and the domination number of rhomboidal cactus chains. We determine minimum dominating sets and domination numbers of two special types of rhomboidal cactus chains, meta and ...
    • DOPRINOS FIGURATIVNIH BROJEVA RAZVOJU VIZUELNO LOGIČKOG PRISTUPA REŠAVANJU ZADATAKA SA BROJNIM NIZOVIMA 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (Univerzitetska misao - časopis za nauku, kulturu i umjetnost, Novi Pazar, 2018-05-01)
      Savremena nastava matematike na svim nivoima obrazovanja uglavnom se svodi na primenu algebarskih formula i algebarskih postupaka. Vizuelno-logički pristup sagledavanju i rešavanju matematičkih zadataka vrlo malo je prisutan ...
    • E-Learning in Higher Education – An Overview of Strategic Planning 

      Zlatković, Dragan; Denić, Nebojša; Petrović, Milena (2019-10-03)
      Implementation of E-Learning is one of the ways of applying modern information technologies to achieve a high quality of higher education. The transition of higher education institutions towards E-Learning should be an ...
    • ELECTRONIC TEXTBOOKS AS AN E-LEARNING TOOL: AN OVERVIEW AND AN EFFORT FOR A FORTHCOMING STUDY 

      Zlatković, Dragan; Denić, Nebojša; Petrović, Milena; Ilić, Dejan (Управљање знањем - Зборници, 2020-01-13)
      Ово је концептуални рад на проучавању употребе електронских уџбеника (е-уџбеник) као алата за е-учење. Истраживачки рад разматра литературу о основним концептима е- уџбеника. У раду се разматрају и анализирају ранија ...
    • Figurative numbers contribution in perceiving the legality in numerous strings tasks and log-term memory of numerous data 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (Modestum, 2019-01-27)
      Contemporary mathematics teaching is mostly reduced to the application of algebraic formulas and algebraic procedures. The visual-logical approach in solving mathematical tasks is very little represented in teaching ...
    • Generating function for the figurative numbers of regular polyhedron 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (Hindawi, 2020-04-14)
      In this paper, we are going to demonstrate a method for determining the generating functions of tetrahedral, hexahedral, octahedral, dodecahedral, and icosahedral figurative numbers. The method is based on the differences ...
    • Hybrid modification of accelerated double direction method 

      Petrović, Milena; Stanimirović, Predrag; Kontrec, Nataša; Mladenović, Julija (Hindawi, 2018-11-06)
      We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps ...
    • Hybridization of accelerated gradient descent method 

      Petrović, Milena; Rakočević, Vladimir; Kontrec, Nataša; Panić, Stefan; Ilić, Dejan
      We present a gradient descent algorithm with a line search procedure for solving unconstrained optimization problems which is defined as a result of applying Picard-Mann hybrid iterative process on accelerated gradient ...
    • Hybridization Rule Applied on Accelerated Double Step Size Optimization Scheme 

      Petrović, Milena
      A hybrid accelerated model with two step length parameters for solving unconstrained optimization problems is presented. Applied hybridization process involves an efficient three term hybrid method. The accelerated double ...
    • Initial improvement of the hybrid accelerated gradient descent process 

      Panić, Stefan; Petrović, Milena; Mihajlov Carević, Miroslava (Cambridge University Press, 2018-08-01)
      We improve the convergence properties of the iterative scheme for solving unconstrained optimisation problems introduced in Petrovic et al. [‘Hybridization of accelerated gradient descent method’, Numer. Algorithms (2017), ...
    • KVALITATIVNA ANALIZA EFEKATA ELEKTRONSKOG UČENJA NA UNUTRAŠNJU MOTIVACIJU STUDENATA 

      Zlatković, Dragan; Denić, Nebojša; Petrović, Milena; Ilić, Miloš
      U nastavi studenata na visokoškolskim ustanovama i studijskim programima elektronsko učenje ima značajnu ulogu. Cilj ovog istraživanja koje je sprovedeno na Alfa BK Univerzitetu u Beogradu je istražiti odnos između ...
    • MODERN TEACHING TECHNOLOGIES AND DEVELOPING CONSTRUCTIVE THINKING 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (4th International Scientific Conference – EMAN 2020 – Economics and Management: How to Cope With Disrupted Times, Online/Virtual, September 3, 2020, SELECTED PAPERS published by: Association of Economists and Managers of the Balkans, Belgrade, Serbia, 2020-09-03)
      Numerous researches in the previous period have shown the effectiveness of mathematical learning with the use of information and communication technologies (ICT) and mathematical software packages. Also, through theoretical ...
    • A note on hybridization process applied on transformed double step size model 

      Petrović, Milena; Rakočević, Vladimir; Valjarević, Dragana; Ilić, Dejan (Springer, 2019-12-03)
      We introduce a hybrid gradient model for solving unconstrained optimization problems based on one specific accelerated gradient iteration. Having applied a three term hybridization relation on transformed accelerated double ...
    • Savremene tehnologije i vizuelno-logički pristup u nastavi matematike 

      Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (2020-07-20)
      Poslednjih godina je uočljiva povećana primena informaciono-komunikacionih tehnologija i matematičkog softvera u nastavi matematike. Mnogobrojna istraživanja efikasnosti matematičkog učenja su pokazala opravdanost i korisnost ...
    • Security and Standardization at E-learning platforms 

      Zlatković, Dragan; Denić, Nebojša; Ilić, Miloš; Petrović, Milena (2021-07-01)
      The process of developing e-learning is based on standards in the field of information security (ISO) and learning technologies (IEEE, IMS), and criteria for quality assurance have been taken as input parameters. The overall ...