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Has the COVID-19 pandemic affected mathematics achievement? : a case study of university students in social sciences
Anja Žnidaršič, Alenka Brezavšček, Gregor Rus, Janja Jerebic, 2022, izvirni znanstveni članek

Opis: This study examines the effects of COVID-19-related measures on the mathematics achievement of university students in social sciences in Slovenia. Our particular concern was to compare two student populations (pre-pandemic and pandemic) in terms of factors affecting student performance in mathematics courses. Data were collected over nine consecutive academic years (from 2013–2014 to 2020–2021) and analyzed using two-stage structural equation modelling (SEM). The analyses confirmed that the conceptual model developed before the pandemic was applicable during the pandemic period. For both populations (pre-pandemic and pandemic), mathematics confidence, perceived level of math anxiety, background knowledge from secondary school, and self-engagement in mathematics courses at university were confirmed as factors influencing mathematics achievement. Moreover, both populations perceived the effects of the factors in the same way, and the magnitude of the effects is comparable. The rather high values of determination coefficient for mathematics achievement (greater than 0.66 for both student populations) indicate that the variables “Perceived Level of Math Anxiety” and “Self-Engagement in Mathematics Course at University” together explain a significant proportion of the total variance before and during the pandemic. Consequently, the results of our case study indicated that pandemic measures did not have a significant impact on our students’ mathematics achievement. Although a more in-depth study of a broader sample of academic courses would be needed to confirm our findings, our experience indicates that mathematics courses at the tertiary level of education can be successfully delivered online.
Ključne besede: COVID-19, mathematics achievement, university students, social sciences, pre-pandemic population, pandemic population, comparison, multi-group structural equation modeling (MG-SEM)
Objavljeno v DKUM: 09.07.2024; Ogledov: 43; Prenosov: 2
.pdf Celotno besedilo (1,64 MB)
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Analysis of higher-order bézier curves for approximation of the static magnetic properties of NO electrical steels
Ermin Rahmanović, Martin Petrun, 2024, izvirni znanstveni članek

Opis: Adequate mathematical description of magnetization curves is indispensable in engineering. The accuracy of the description has a significant impact on the design of electric machines and devices. The aim of this paper was to analyze the capability of Bézier curves systematically, to describe the nonlinear static magnetic properties of non-oriented electrical steels, and to compare this approach versus the established mathematical descriptions. First, analytic functions versus measurements were analyzed. The Bézier curves were then compared systematically with the most adequate analytic functions. Next, the most suitable orders of Bézier curves were determined for the approximation of nonlinear magnetic properties, where the influence of the range of the input measurement dataset on the approximation process was analyzed. Last, the extrapolation capabilities of the Bézier curves and analytic functions were evaluated. The general conclusion is that Bézier curves have adequate flexibility and significant potential for the approximation and extrapolation of nonlinear properties of non-oriented electrical steels.
Ključne besede: analytical modeling, anhysteretic curve, applied mathematics, Bézier curve, curve fitting, first magnetization curve, major loop, mathematical modeling, non-oriented electrical steel
Objavljeno v DKUM: 01.02.2024; Ogledov: 332; Prenosov: 20
.pdf Celotno besedilo (4,90 MB)

Hereditarnia 2019 : Book of Abstracts, Maribor, 21st & 22nd June, 2019
2019, druge monografije in druga zaključena dela

Opis: The booklet contains the abstracts of the talks given at the 22th Hereditarnia Workshop on Graph Properties that was held at the Faculty of Electrical Engineering and Computer Science in Maribor on 21st and 22nd of June, 2019. The workshop attracted 22 participants from 8 countries. All of the participants are researchers in di˙erent areas of graph theory, but at this event they all presented topics connected with (hereditary) graph properties. Themes of the talks encompass a wide range of contemporary graph theory research, notably, various types of graph colorings, graph domination, some graph dimensions matchings and graph products. Beside the abstracts of the plenary speaker (Roman Sotak) and three invited speakers (Tanja Gologranc, Michael A. Henning and Ismael G. Yero), the booklet also contains the abstracts of 7 contributed talks given at the event.
Ključne besede: mathematics, graph theory, Hereditarnia, Maribor, Slovenia
Objavljeno v DKUM: 13.12.2019; Ogledov: 1274; Prenosov: 331
.pdf Celotno besedilo (1,08 MB)
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Testing the sustainability of growth of the LJSEX in the January 2000 to May 2010 period
Aleš Ahčan, 2011, izvirni znanstveni članek

Opis: In this paper we analyse the behaviour of the LJSEX, the main index of the Ljubljana Stock Exchange, in the period from January 2000 till May 2010. More precisely, we test for the presence of bubbles and antibubbles and try to determine whether or not a bubble could have been predicted (both the formation and the date of the bubble burst). Second, we also employ techniques used to model antibubbles to forecast the future behaviour of the LJSE index. Besides modelling index dynamics for the aforementioned period, we also seek to determine the factors that led to the bubble forming and later bursting. We find that the bubble could have been forecasted at least several months in advance. On the other hand, a very precise date of the crash seems harder to identify. By more closely analysing the interplay between interest rates, credit activity and the LJSEX, we conclude that there is a clear connection between decreasing interest rates, increased credit activity and the formation of a stock bubble. If there is a clear correlation between the early phase of a bubble and increased credit activity of the banking sector, the link between the end of the bubble and the restriction of credit activity is less pronounced. By fitting the extended antibubble model from (Johansen 1999a) we obtain the values of parameters that give us some indication of the future behaviour of the LJSEX. Based on these results we conclude that in the next few years we are likely to experience a period of increased volatility with no clear increasing or decreasing growth pattern.
Ključne besede: exchange, interest rate, business mathematics, calculations, models
Objavljeno v DKUM: 22.01.2018; Ogledov: 1185; Prenosov: 354
.pdf Celotno besedilo (698,29 KB)
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Modernizing mathematics education in Slovenia : a teacher friendly approach
Bojan Hvala, 2009, izvirni znanstveni članek

Opis: Nowadays, we are facing a large number of varied educational projects which aim to direct and modernize mathematics education. Many institutions (from university bodies and institutes to individual secondary and elementary schools, networks of schools and private enterprises) make an appearance on the project market and contribute their ideas. Such quantity can cause confusion among teachers. Encouraged by the article, a mathematician's lament, by Paul Lockhard, we present some simple principles for classroom work that, in our opinion, would enhance the efficiency of mathematics classes in the long term. Thus we try to help mathematics teachers build a strategy for a fruitful approach to the ideas, recommendations and advertisements on the educational market. Showing the respect towards the quality mathematics teachers and avoiding discouraging and confusing them are some of the leading ideas that we should pursue in our attempt to improve mathematics education. At the end, we also offer some recommendations about the teacher training system.
Ključne besede: education, mathematics education, pedagogical approach, ICT
Objavljeno v DKUM: 15.12.2017; Ogledov: 1275; Prenosov: 105
.pdf Celotno besedilo (1,24 MB)
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Interactive e-learning materials in the mathematics classroom in Slovenia
Samo Repolusk, 2009, izvirni znanstveni članek

Opis: This article presents the current development of e-learning in Slovenia, with an emphasis on the domestic E-um web portal (URL: www.e-um.si) for teaching mathematics in primary and secondary schools. Based on findings from recent scientific research, the strengths and weaknesses of e-learning materials in education, particularly in mathematics classes, are analyzed. We are particularly interested in the advantages and disadvantages of interactive e-learning materials in comparison to traditional learning materials as well as in the quality of the E-um web portal in comparison to similar educational web portals at home and abroad. Theoretical findings are tightly interwoven with examples of teaching practice using the E-um interactive materials.
Ključne besede: education, e-learning, blended learning, interactive e-learning, E-um, e-learning materials, mathematics, mathematics classes
Objavljeno v DKUM: 15.12.2017; Ogledov: 1701; Prenosov: 92
.pdf Celotno besedilo (1,11 MB)
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Ljubljana-Leoben graph theory seminar : Maribor, 13.-15. September, 2017. Book of abstracts
2017, druge monografije in druga zaključena dela

Opis: The booklet contains the abstracts of the talks given at the 30th Ljubljana-Leoben Graph Theory Seminar that was held at the Faculty of Natural Sciences and Mathematics in Maribor between 13-15 September, 2017. The seminar attracted more than 30 participants from eight countries, all of which are researchers in different areas of graph theory. The topics of the talks encompass a wide range of contemporary graph theory research, notably, various types of graph colorings (b-coloring, packing coloring, edge colorings), graph domination (rainbow domination, Grundy domination, graph security), distinguishing problems, algebraic graph theory, graph algorithms, chemical graph theory, coverings, matchings and also some classical extremal problems. Beside the abstracts of the four invited speakers (Csilla Bujtás, Premysl Holub, Jakub Przybyło, Zsolt Tuza), the booklet contains also the abstracts of 18 contributed talks given at the event.
Ključne besede: mathematics, discrete mathematics, graph theory, Ljubljana-Leoben seminar, Maribor, Slovenia
Objavljeno v DKUM: 08.12.2017; Ogledov: 1556; Prenosov: 198
.pdf Celotno besedilo (457,62 KB)
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Omega polynomial revisited
Mircea V. Diudea, Sandi Klavžar, 2010, izvirni znanstveni članek

Opis: Omega polynomial was proposed by Diudea (Omega Polynomial, Carpath. J. Math., 2006, 22, 43-47) to count the opposite topologically parallel edges in graphs, particularly to describe the polyhedral nanostructures. In this paper, the main definitions are re-analyzed and clear relations with other three related polynomials are established. These relations are supported by close formulas and appropriate examples.
Ključne besede: mathematics, chemical graph theory, counting polynomials, Ommega polynomial, Theta polynomial, Pi polynomial, PI index, Sadhana polynomial, Cluj-Ilmenau index, CI index
Objavljeno v DKUM: 24.08.2017; Ogledov: 1005; Prenosov: 115
.pdf Celotno besedilo (263,85 KB)
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Altered Wiener indices
Damir Vukičević, Janez Žerovnik, 2005, izvirni znanstveni članek

Opis: Recently Nikolić, Trinajstić and Randić put forward a novel modification ▫$^mW(G)$▫ of the Wiener number ▫$W(G)$▫, called modified Wiener index, which definition was generalized later by Gutman and the present authors. Here we study another class of modified indices defined as ▫$W_{min,λ}(G) = ∑(V(G)^λm_G(u,ν)^λ−m_G(u,ν)^{2λ})$▫ and show that some of the important properties of ▫$W(G)$▫, ▫$^mW(G)$▫ and ▫$^λW(G)$▫ are also properties of ▫$W_{min,λ}(G)$▫, valid for most values of the parameter λ. In particular, if ▫$T_n$▫ is any n-vertex tree, different from the n-vertex path ▫$P_n$▫ and the n-vertex star ▫$S_n$▫, then for any λ ≥ 1 or λ < 0, ▫$^W_{min,λ}(P_n) > W_{min,λ}(T_n)>W_{min,λ}(S_n)$▫. Thus for these values of the parameter λ, ▫$W_{min,λ}(G)$▫ provides a novel class of structure-descriptors, suitable for modeling branching-dependent properties of organic compounds, applicable in QSPR and QSAR studies. We also demonstrate that if trees are ordered with regard to ▫$W_{min,λ}(G)$▫ then, in the general case, this ordering is different for different λ.
Ključne besede: mathematics, chemical graph theory, Wiener index, modified Wiener index
Objavljeno v DKUM: 17.08.2017; Ogledov: 1178; Prenosov: 120
.pdf Celotno besedilo (991,46 KB)
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Wiener numbers of pericondensed benzenoid hydrocarbons
Sandi Klavžar, Ivan Gutman, Amal Rajapakse, 1997, izvirni znanstveni članek

Opis: Using a recently developed technique for the calculation of the Wiener number (W) of benzenoid systems, we determine explicit expressions for W for several homologous series of pericondensed benzenoid hydrocarbons. An elementary proof for the correctness of the used method is also included.
Ključne besede: mathematics, chemical graph theory, distance in graphs, Wiener number, benzenoids
Objavljeno v DKUM: 05.07.2017; Ogledov: 1398; Prenosov: 164
.pdf Celotno besedilo (16,93 MB)
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