Biography

Books

• Valentina Miovska and Vesna Celakoska-Jordanova, Algebraic n-ary Structures, textbook, 2014, Ss. Cyril and Methodius University in Skopje, Skopje, 1st edition (Decision of Ss. Cyril and Methodius University No. 11-630/5 of 4 December 2015; Contract No. 11-426/19), 118 pp.

Mobility and Study stays

• Participant in three intensive courses within the framework of the DAAD project “Center of Excellence for Applications of Mathematics”:

“Fuzzy Sets and Fuzzy Logic”, 17–29 September 2006, Struga, Macedonia.

“Educational Software System GEONEXT”, organized by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences, 25–30 October 2004, Sofia, Bulgaria.

“Coding Theoretical Aspects of Information Theory”, organized by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences, 8–21 September 2003, Sofia, Bulgaria.

Articles and Conferences

Conferences

• D. Leshkovski, V. Miovska, The Area Method in Problems from High School Competitions in 2020–2025, Fifth International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 28–30 November 2025
• V. Miovska, V. Celakoska-Jordanova, Compatible Binary Relations on Vector Valued Hypersemigroups, International Conference on Computer Science and Mathematics Dedicated to Prof. Smile Markovski, Ohrid, 21–23 May 2024
• A. Gacovska-Barandovska, V. Miovska, The Case Analysis Method in Theorems and Geometry Problems, Fourth International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 24–26 November 2023
• V. Miovska, D. Leshkovski, V. Celakoska-Jordanova, Fuzzy Ideals in (n+k, n)-Semigroups, VII Congress of Mathematicians of Macedonia, Struga, 27–30 June 2023
• V. Miovska, A. Gacovska-Barandovska, D. Leshkovski, S. Mirchevski, Most Frequent Errors and Misconceptions of First-Year Technical Faculty Students in High School Problems, Third International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 6–8 May 2022
• D. Leshkovski, V. Miovska, Geometric Proofs of Addition Theorems and Identities for Sums of Trigonometric Functions, Third International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 6–8 May 2022
• D. Leshkovski, V. Miovska, Solving Trigonometric Equations in Primary School?, International Conference of Applied Sciences, Engineering and Mathematics (ICASEM 2020), Skopje, 4–6 June 2020, online
• D. Leshkovski, V. Miovska, Geometric Proofs of Some Inequalities, International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 27–28 September 2019
• D. Leshkovski, V. Miovska, Geometric Proofs of Irrationality of Some Square Roots, Third Seminar “Mathematics and Applications”, Skopje, 14–15 December 2018
• V. Miovska, A. Gacovska-Barandovska, Most Frequent Errors and Misconceptions of First-Year Math Students in High School Problems, VI Congress of Mathematicians of Macedonia, Ohrid, 15–18 June 2016
• V. Miovska, V. Celakoska-Jordanova, Vector Valued Hyperstructures, VI Congress of Mathematicians of Macedonia, Ohrid, 15–18 June 2016
• V. Miovska, D. Dimovski, A Characterization of Generalized (m+k, m)-Rectangular Bands, Sixth International Scientific Conference FMNS-2015, Blagoevgrad, Bulgaria, 10–14 June 2015
• V. Celakoska-Jordanova, V. Miovska, Free Power-Associative Ternary Groupoids, V Congress of Mathematicians of Macedonia, Ohrid, 23–27 September 2014
• V. Miovska, D. Dimovski, Structural Description of Generalized (m+k, m)-Rectangular Bands, Fifth International Scientific Conference FMNS-2013, Blagoevgrad, Bulgaria, 12–16 June 2013
• V. Miovska, D. Dimovski, Generalized (m+k, m)-Bands, 83rd Workshop on General Algebra & 27th Conference of Young Algebraists, Novi Sad, 15–18 March 2012
• V. Miovska, D. Dimovski, Free Generalized (2m,m)-Rectangular Bands of Type (3,2), Fourth International Scientific Conference FMNS-2011, Blagoevgrad, Bulgaria, 8–11 June 2011
• V. Miovska, D. Dimovski, Free Generalized (m+k, m)-Bands, Mathematical Conference 2010 Dedicated to Prof. Gjorgji Čupona, Ohrid, 10–13 September 2010
• V. Miovska, Gj. Markoski, A. Gacovska, D. Leshkovski, Expected Trends in Participation and Achievement of High School Math Competitors, IV Congress of Mathematicians of Macedonia, Struga, 19–22 October 2008
• V. Miovska, D. Dimovski, Independence of Characterizing Properties of (m+k, m)-Rectangular Bands, IV Congress of Mathematicians of Macedonia, Struga, 19–22 October 2008
• V. Miovska, D. Dimovski, Independence of Characterizing Properties of (m+k, m)-Bands, Mathematical Conference: 85 Years of Prof. Blagoj Popov Life, Ohrid, 4–7 September 2008
• V. Miovska, D. Dimovski, Free (m+k, m)-Bands, Conference on Algorithmic Complexity and Universal Algebra, Szeged, Hungary, 16–20 July 2007
• V. Miovska, D. Dimovski, Free (m+k, m)-Rectangular Bands When k<m, Second International Scientific Conference FMNS-2007, Blagoevgrad, Bulgaria, 6–10 June 2007
• V. Miovska, (m+k, m)-Bands, Research Meeting within the Project “Vector Valued Structures”, Bitola, May 2007
• V. Miovska, (m+k, m)-Rectangular Bands, Research Meeting within the Project “Vector Valued Structures”, Struga, Sep–Oct 2006
• J. Markoska, Gj. Markoski, V. Miovska, Application of GEONEXT in Mathematics Teaching, III Congress of Mathematicians and Informaticians of Macedonia, Struga, 29 Sept–2 Oct 2005
• D. Dimovski, V. Miovska, Characterization of (m+k, m)-Rectangular Band When k<m, III Congress of Mathematicians and Informaticians of Macedonia, Struga, 29 Sept–2 Oct 2005
• V. Miovska, A Construction of a Free Vector Valued Group, Research Meeting within the Project “Vector Valued Groups”, Ohrid, Sep 2001
• B. Janeva, V. Miovska, V. Celakoska-Jordanova, On a Class of Groupoids, II Congress of Mathematicians and Informaticians of Macedonia, Ohrid, 28 Sept–1 Oct 2000

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Scientific Papers / Proceedings

• D. Leshkovski, V. Miovska, The Area Method in Problems from High School Competitions in 2020–2025, Proceedings of the Fifth International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 28–30 November 2025, accepted for publication (in macedonian)
• V. Miovska, D. Leshkovski, V. Celakoska-Jordanova, Essential Fuzzy Ideals in (n+k, n)-Semigroups, Special Issue of Prilozi dedicated to the 70th Birthday of Acad. Dončo Dimovski, MANU, 2024, accepted for publication
• A. Gacovska-Barandovska, V. Miovska, The Case Analysis Method in Theorems and Geometry Problems, Proceedings of the Fourth International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 24–26 November 2023, pp. 24–31  (in macedonian)
• V. Miovska, D. Leshkovski, V. Celakoska-Jordanova, Fuzzy Ideals in (n+k, n)-Semigroups, Mathematical Bulletin Vol. 46 (LXXII) 1 (2022), 51–65
• V. Miovska, A. Gacovska-Barandovska, D. Leshkovski, S. Mirchevski, Most Frequent Errors and Misconceptions of First-Year Technical Faculty Students in High School Problems, Proceedings of the Third International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 6–8 May 2022, pp. 252–259  (in macedonian)
• D. Leshkovski, V. Miovska, Geometric Proofs of Addition Theorems and Identities for Sums of Trigonometric Functions, Proceedings of the Third International Conference on Education in Mathematics, Physics and Related Sciences, Skopje, 6–8 May 2022, pp. 131–152  (in macedonian)
• D. Leshkovski, V. Miovska, Solving Trigonometric Equations in Primary School?, IBU International Journal of Technical and Natural Sciences 1(2) (2020), 43–52
• D. Leshkovski, V. Miovska, Geometric Proofs of Some Inequalities, Proceedings of the International Conference on Education in Mathematics, Physics and Related Sciences, 27–28 September 2019, pp. 129–139  (in macedonian)
• V. Celakoska-Jordanova, V. Miovska, Free Power-Associative n-Ary Groupoids, Mathematica Slovaca 69 (2019), No. 1, 1–10
• V. Miovska, V. Celakoska-Jordanova, A Note on Compatible Binary Relations on Vector Valued Hypersemigroups, Matematički Bilten 41(2) (2017), 39–45
• V. Miovska, V. Celakoska-Jordanova, B. Davvaz, Vector Valued Hyperstructures, Kragujevac Journal of Mathematics 42(2) (2018), 257–271
• V. Miovska, D. Dimovski, A Characterization of Generalized (m+k, m)-Bands, International Journal of Algebra 10 (2016), no. 10, 469–475
• V. Miovska, D. Dimovski, Structural Description of Generalized (m+k, m)-Bands, International Journal of Algebra 10 (2016), no. 7, 335–341
• V. Miovska, D. Dimovski, A Characterization of Generalized (m+k, m)-Rectangular Bands, Proceedings of International Scientific Conference FMNS-2015, Blagoevgrad, Bulgaria, Vol. 1 (Math. & Inf.), 2015, 31–37
• V. Miovska, D. Dimovski, Structural Description of Generalized (m+k, m)-Rectangular Bands, Proceedings of International Scientific Conference FMNS-2013, Blagoevgrad, Bulgaria, Vol. 1 (Math. & Inf.), 2013, 54–59
• V. Miovska, D. Dimovski, Free Generalized (2m, m)-Rectangular Bands of Type (3,2), Proceedings of International Scientific Conference FMNS-2011, Blagoevgrad, Bulgaria, Vol. 1 (2011), 33–37
• V. Miovska, D. Dimovski, Free (m+k, m)-Bands, Mathematica Macedonica Vol. 8 (2010), 115–127
• V. Miovska, D. Dimovski, Generalized (2m, m)-Rectangular Bands of Type (3,2), Matematički Bilten 34 (LX) (2010), 5–12
• V. Miovska, D. Dimovski, Independence of Characterizing Properties of (m+k, m)-Rectangular Bands, Matematički Bilten 33 (LIX) (2009), 5–14
• V. Miovska, D. Dimovski, Independence of Characterizing Properties of (m+k, m)-Bands, Mathematica Macedonica Vol. 6 (2008), 47–53
• V. Miovska, Vector Valued Bands, Doctoral Dissertation, Skopje, 2008
• V. Miovska, D. Dimovski, Free (m+k, m)-Rectangular Bands When k<m, Proc. Int. Sci. Conf. FMNS-2007, South-West University “Neofit Rilsky”, Blagoevgrad, Vol. 1 (2007), 88–92
• D. Dimovski, V. Miovska, Characterization of (m+k, m)-Rectangular Band When k<m, Proceedings of the 3rd Congress of Mathematicians of Macedonia, Struga, 29 Sept–2 Oct 2005, SMM, 2007, 245–250
• V. Miovska, D. Dimovski, (m+k, m)-Bands, Mathematica Macedonica Vol. 4 (2006), 11–24
• D. Dimovski, V. Miovska, Characterization of (2k, k)-Rectangular Band, Matematički Bilten 28 (LIV) (2004), 125–132
• B. Janeva, V. Miovska, V. Celakoska-Jordanova, On a Class of n-Groupoids, Proceedings of 2nd Congress of Mathematicians and Informaticians of Macedonia, Ohrid, 28 Sept–1 Oct 2000, SMIM, 2003, 25–30
• V. Miovska, Free Vector Valued Groups, Master’s Thesis, Skopje, 2002

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Professional / Educational Papers

• D. Leshkovski, V. Miovska, Geometric Proofs of Irrationality of Some Square Roots, Mathematical Omnibus 6 (2019), 9–22  (in macedonian)
• V. Miovska, Gj. Markoski, A. Gacovska, D. Leshkovski, Expected Trends in Participation and Achievement of High School Math Competitors, Proceedings of IV Congress of Mathematicians of Macedonia, Struga, 19–22 October 2008, SMM, 155–168  (in macedonian)
• J. Markoska, Gj. Markoski, V. Miovska, Application of GEONEXT in Mathematics Teaching, Proceedings of III Congress of Mathematicians of Macedonia, Struga, 29 Sept–2 Oct 2005, SMM, 2007, 115–122  (in macedonian)
• V. Miovska, One Problem and 12 Solutions, Sigma No. 77, 2007, 8–14  (in macedonian)
• V. Miovska, Simson’s Theorem, Sigma No. 66, 2004, 1–4  (in macedonian)

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Professional Books / Competition Collections

• A. Malcheski, …, V. Miovska, …, Mathematics Competitions for Secondary School Students 2016, SMM, 2016  (in macedonian)
• A. Malcheski, …, V. Miovska, …, Mathematics Competitions for Secondary School Students 2015, SMM, 2016  (in macedonian)
• A. Malcheski, …, V. Miovska, …, Mathematics Competitions for Primary School Students 2015, SMM, 2016  (in macedonian)
• A. Malcheski, …, V. Miovska, …, Mathematics Competitions for Secondary School Students 2014, SMM, 2016  (in macedonian)
• A. Malcheski, …, V. Miovska, …, Mathematics Competitions for Primary School Students 2014, SMM, 2016  (in macedonian)
• A. Malcheski, …, V. Miovska, …, International Kangaroo Competition Grades 6–7, SMM, 2014  (in macedonian)
• A. Malcheski, …, V. Miovska, …, International Kangaroo Competition Grade 8, SMM, 2014  (in macedonian)
• A. Malcheski, …, V. Miovska, …, International Kangaroo Competition Years 1–2, SMM, 2014  (in macedonian)
• A. Malcheski, …, V. Miovska, …, Mathematics Competitions in Primary Education 2006–2013, SMM, 2014  (in macedonian)
• Mathematics Competitions in Secondary Education 2012, SMM, 2012  (in macedonian)
• Mathematics Competitions in Secondary Education 2011, SMM, 2011  (in macedonian)
• A. Malcheski, V. Manova-Erakovic, V. Miovska, D. Leshkovski, A. Gacovska, Sigma’s Treasury: International Kangaroo Competition 2011, SMM, Skopje, 2011  (in macedonian)
• V. Manova-Erakovic, V. Miovska, Gj. Markoski, I. Stojkovska, P. Sokoloski, A. Malcheski, D. Leshkovski, A. Gacovska, S. Brsakoska, D. Velinov, Sigma’s Treasury: International Kangaroo Competition 2006–2010, SMM, Skopje, 2010  (in macedonian)
• Mathematics Competitions 2010 in North Macedonia, SMM, 2010  (in macedonian)
• Macedonian Mathematical Competitions, SMM, 2009  (in macedonian)
• Macedonian Mathematical Competitions, SMM, 2008  (in macedonian)
• Macedonian Mathematical Competitions, SMM, 2007  (in macedonian)
• A. Malcheski, R. Atanasov, D. Dimovski, R. Malcheski, M. Orovchanec, I. Janev, V. Manova-Erakovic, V. Miovska, Gj. Markoski, V. Gogovska, Mathematics Competitions in Secondary Education 1998/99, SMIM, Skopje, 2000  (in macedonian)

Other activities

• Mentor of two Master’s theses.
• Reviewer of university textbooks and a problem collection; reviewer of high school textbooks and a problem collection; reviewer of textbooks for primary education.
• Reviewer of manuscripts for the journals: Prilozi, Section of Natural, Mathematical and Biotechnical Sciences, Macedonian Academy of Sciences and Arts (MANU); Mathematical Bulletin; Mathematical Omnibus; Asian-European Journal of Mathematics; and reviewer of manuscripts for several conference proceedings from international conferences on mathematics, physics, and related sciences education.
• Head of the Second Cycle (Master’s) Studies in Mathematical Sciences and Applications and Mathematical Education (2023– ).
• Head of the Department of Algebra and Geometry (2012–2018).
• Member of the organizing committee of several Congresses of Mathematicians of Macedonia and several International Conferences on Mathematics, Physics, and Related Sciences Education.
• Member of the Union of Mathematicians of Macedonia.
• Deputy leader of the Macedonian Olympic team at the Balkan Mathematical Olympiad for high school students, Pleven, Bulgaria, and deputy leader of the Macedonian Olympic team at the International Mathematical Olympiad for high school students, Athens, Greece, in 2004.
• Chair of the Problem Committee for competitions in primary education in the academic years 2004/2005 and 2005/2006.
• Member of the editorial board of the mathematics journal for primary education Numerus and the mathematics journal for secondary education Sigma on several occasions.
• Coordinator of several Balkan Mathematical Olympiads and several South Eastern European Mathematical Olympiads for University Students (SEEMOUS) held in Macedonia.

Проекти

• Algebraic, Topological and Combinatorial Problems, Macedonian Academy of Sciences and Arts (MANU), Project Leader: Acad. Dončo Dimovski, 2022–2025
• Topological–Geometric and Algebraic–Combinatorial Problems with Applications, MANU, Project Leader: Acad. Dončo Dimovski, 2019–2021
• Mathematics for Everyone – Math Circles for Primary School Students, Municipality of Gazi Baba, Project Leader: Prof. Dr. Irena Stojkovska, 2020
• Popularization of Mathematics, Faculty of Natural Sciences and Mathematics (PMF), Project Leader: Prof. Dr. Irena Stojkovska, 2018–2021
• Algebra, Analysis and Applications, joint project of MANU and the Serbian Academy of Sciences and Arts (SANU), Macedonian Project Leader: Acad. Dončo Dimovski, 2017–2019
• Algebraic, Topological and Combinatorial Problems, MANU, Project Leader: Acad. Dončo Dimovski, 2017–2019
• Algebraic and Combinatorial Problems with Applications, joint project of MANU and SANU, Macedonian Project Leader: Acad. Dončo Dimovski, 2014–2016
• Algebraic, Topological and Combinatorial Problems, MANU, Project Leader: Acad. Dončo Dimovski, 2014–2016
• Algebraic, Topological and Combinatorial Problems, MANU, Project Leader: Acad. Dončo Dimovski, 2010–2013
• Development of Mathematical Sciences in the Republic of Macedonia (1946–2010), MANU, Project Leader: Acad. Blagoj Popov, 2008–2011
• Study of Various Properties in Fuzzy Topology and Their Expression within Structural Spaces, joint project of the Ministry of Education and Science and TÜBİTAK (Turkey), Macedonian Project Leader: Prof. Dr. Biljana Krsteska, 2006–2009
• Development of Algebra in the Republic of Macedonia (1950–2007), MANU, Project Leader: Acad. Gjorgji Čupona, 2006–2008
• Vector Valued Structures, MANU, Project Leader: Acad. Gjorgji Čupona, 2006–2008
• Topological and Algebraic Structures and Their Applications, Ministry of Education and Science, Project Leader: Prof. Dr. Dončo Dimovski, 2003–2006
• Vector Valued Groups, MANU, Project Leader: Acad. Gjorgji Čupona, 2000–2002
• Topological and Algebraic Structures and Their Applications, Ministry of Education and Science, Project Leader: Prof. Dr. Dončo Dimovski, 1999–2002