Faculty of Natural Sciences and Mathematics
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Item type:Publication, The Prespa Agreement: A Political geography(Geobalcanica, 2023)Kitevski, GoranThe subject of the research is the Prespa Agreement, which gave North Macedonia a new name, in exchange for support from Greece in North Macedonia’s aspirations towards the European Union and NATO. The paper analyzes the key points from the first part of the agreement, which are the essence of the Macedonian-Greek naming issue: the formulation of the Macedonian nationality, the recognition of the Macedonian language, the differences in understanding and the possibility of using the terms Macedonia and Macedonian for the both sides, as well as the meaning of the agreement in a broader political sense. There are a number of researches on the topic of Macedonian-Greek issue, which are more focused on thе naming problem, from the occurrence to its solution, so the main goal of this paper is to try to give another, political-geographic overview of the identity issues arising after the Prespa Agreement. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Comparison of methods for macroseismic mapping: A case study of the 2016 Debarca-Plakenska earthquake(University of Kragujevac, University Library, Serbia, 2025-09); - Some of the metrics are blocked by yourconsent settings
Item type:Publication, GIS In The Hydromorphology Analysis of Selected Meanders of The River Vardar(2025-06-26); ; This paper aims to determine the hydromorphological changes of selected meander sectors of the largest river in the Republic of North Macedonia, the Vardar River using GIS. The meandering process is a significant dynamic in the hydrological studies of river systems. Covering a period of 59 years (1964-2023), in the study of the meandering process of selected three meander sectors in river Vardar, topographic maps with a scale of 1:50000, geological maps with a scale of 1:100000 and satellite images from the Landsat mission (1983-2013) and the Sentinel-2 mission (2018-2023) were used, which resulted in their processing and analysis. The planimetric characteristics that were analyzed for meandering are the width of the river channel, sinusoidality, radius of curvature, width of the meander section, slope and migration of the riverbed. In the period between 1964 and 2023, all three meander sectors have experienced significant changes in all parameters, with large changes in the width and length of the meander sectors, accompanied with significant lateral erosion on both coastal sides consistently. The hydromorphological changes that have occurred also differ in the different time periods of action, where each period is characterized by certain spatial changes. Understanding the hydromorphological changes in the meandering process has a significant role in predicting future changes in the flow of the riverbed in order to reduce and possibly prevent future potential impacts on the space. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Investigating relationships between PM10 and Climatic parameters using PCA in the three largest urban areas in North Macedonia(2025-06-26); ; ; Kuzmanoski, ArseThis study applies Principal Component Analysis (PCA) to evaluate how meteorological factors influence PM10 pollution in Skopje, Kumanovo and Bitola from 2012 to 2020. PCA reduces data complexity while identifying key weather variables that impact air pollution levels. Findings indicate that temperature and wind speed have the strongest negative correlation with PM10 concentrations, meaning lower temperatures and weaker winds are linked to higher pollution levels. These conditions limit pollutant dispersion, leading to worse air quality. Humidity and precipitation have mixed effects—humidity can promote both the removal and formation of pollutants, while precipitation aids in PM10 reduction through wet season, depending on intensity and duration. The extracted principal components explain a significant portion of pollution variability, highlighting the dominant meteorological influences on air quality trends. By clarifying these relationships, PCA enhances the understanding of air pollution dynamics in the three largest urban areas in North Macedonia. This analysis provides valuable insights for air quality management in North Macedonia. By identifying the key meteorological drivers of pollution, policymakers can develop more targeted and effective strategies to mitigate PM10 levels and improve public health. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Statistical Literacy of Undergraduate Students Before Taking the Introductory Statistics Course(Сојуз на математичари на Македонија, 2023) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Assessment of the Environmental Gamma Dose Rate in Macedonia(Technical Faculty “Mihajlo Pupin”, Zrenjanin & Faculty of Sciences and Mathematics, Niš, 2024-10)Lambe Barandovski, Robert Šajn, Trajče Stafilov, Aneta Gacovska – BarandovskaAssessment of the environmental gamma dose rate in Macedonia was conducted in 2010, 2015, and 2020 to establish baseline data of the gamma dose rate and observe potential changes over time. For the purpose, the gamma dose rate was measured at 68 locations in 2010, and 72 location in 2015 and 2020 using a portable dosimeter positioned 1 m above the ground surface. The gamma dose rates in the country were in the range 53 - 340 nSv/h in 2010, 38 - 360 nSv/h in 2015 and 41 - 300 nSv/h in 2020. It was found that the reason for a variation in the measured values is due to the geological factors and geological formations which are different in different parts of the country. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Методот на разгледување на случаи во теореми и проблеми од геометрија(DFRM, SMM, 2024) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Конструкција на множествата на цели и позитивни рационални броеви во наставата по математика(DFRM, SMM, 2024) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Everlasting educational reforms on the road to quality and permanent knowledge or…(Proceedings of Science, 2023-10-02)Lambe Barandovski, Vera Zoroska, Aneta Gacovska - BarandovskaThe Macedonian educational system is under continuous reforms and changes made to the syllabuses and methods of teaching. In the last two decades, almost every aspect of teaching mathematics and physics in primary school has been changed. The last three major changes cover different approaches: coordinated teaching in 2008, curriculum changes towards research methods and problem solving in learning and teaching - according to the Cambridge International Examinations Center in 2016, and the newest concept according to the European Strategy 2020 (based on six dimensions: quality, inclusion and gender equality, green and digital transitions, teachers, higher education, a stronger Europe in the world) and the new Action Plan for Digital Education 2021-2027 (with initiatives for high quality, inclusive and accessible digital education in Europe). Different opinions appeared in public, mostly among teachers and parents, for and against the „new ways” in education. Hereby some of the arguments for and against will be presented, problems and questions will be stressed out and curriculum differences will be shown. Are we losing the chance for laying the foundations of mathematics and physics while walking on the road to digitalization? Are we ready as a country to embrace the new social challenges? Have we done enough research before introducing the new concepts, do we know if we are professionally, materially and mentally ready to let the „digital books“ and „interculturalism“ on a small door in the classrooms? Finally, yes, the freedom in finding personal creative ways of teaching and using open-source material is great, so is stimulating critical thinking among students. But is the majority of the population ready to trade the classical textbooks for digital ones? Has there been continuing professional education for teacher in the classroom to be ready to grasp the new concept? Are we ready for this kind of transition in education as a way for a complete social transition? - Some of the metrics are blocked by yourconsent settings
Item type:Publication, НАЈЧЕСТИ ГРЕШКИ И МАТЕМАТИЧКИ ЗАБЛУДИ КАЈ СТУДЕНТИТЕ ОД ПРВА ГОДИНА НА ТЕХНИЧКИТЕ ФАКУЛТЕТИ ВО СРЕДНОШКОЛСКИ ЗАДАЧИ(Сојуз на математичари на Македонија / Union of Mathematicians of Macedonia, 2023-01)Valentina Miovska, Aneta Gacovska - Barandovska, Delcho Leshkovski, Stefan MirchevskiThe paper presents the results of a conducted research (study) involving first‐year students of the Institute of mathematics and some of the technical faculties in the country, in five consecutive years (2017‐2021). The research considers the results of an anonymous test that included six different problems of logical type, linear equations with a parameter, as well as systems of two linear equations with two unknowns containing parameters. The sample consisted of four experimental groups and one control group. The experimental groups were tested before the beginning of the mathematics lectures related to the teaching topics covered by the test, and the control group after most of those teaching contents have been processed and deepened in the university courses. The processed tests provided data indicating a large number of misconceptions and errors among students, individually, but also in comparison with other tested groups. Additional conclusions are presented that indicate a correlation between the results achieved by the groups that have previously graduated from high school with physical attendance in relation to students who spent part of their education with online teaching, during the period of the COVID‐19 crisis. The basic omissions and the superficiality of the knowledge acquired in secondary education have been examined, compared to the expectations of the authors, who as teaching staff at universities need a certain level of knowledge for the successful implementation of the curriculum in their subjects. The possible reasons for the great contradiction in the obtained and expected results are pointed out. / Во овој труд ќе бидат изложени резултатите од спроведено истражување (студија), во кое се вклучени студенти од прва година, на Природно‐математичкиот факултет во Скопје и некои од техничките факултети во државата, во пет последователни години (2017‐2021). Истражувањето беше направено по спроведен анонимен тест во кој беа вклучени шест различни задачи од логички тип, линеарни равенки со параметар, како и системи од две линеарни равенки со две непознати кои содржат параметри. Примерокот го сочинуваа четири експериментални групи и една контролна група. Експерименталните групи се тестирани пред почетокот на предавањата по математика кои се однесуваат на наставните теми покриени со тестот, а контролната група извесен период откако поголем дел од тие наставните содржини е обработен и продлабочен во универзитетските курсеви. Обработените тестови обезбедија податоци кои укажуваат на голем број заблуди и грешки кај студентите, поединечно, но и во споредба со другите тестирани групи. Презентирани се и дополнителни заклучоци кои укажуваат на корелација меѓу постигнатите резултати од групите кои претходно имаат завршено средно училиште со физичко присуство во однос на студенти кои дел од своето образование го поминале со онлајн настава, во периодот на пандемијата со КОВИД‐19. Разгледани се основните пропусти и површноста на знаењето стекнато во средното образование, споредено со очекувањата ка авторите, кои како наставен кадар на универзитетите имаат потреба од одредено ниво на знаење за успешно спроведување на наставната програма по своите предмети. Укажано е на можните причини за големата противречност во добиените и очекуваните резултати.