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prof. d-r Katerina Anevska

Faculty of Communication and IT

Function: IT
Subjects:
Education:

Decision on Selection in Teaching Scientific Title

Brief Narrative Biography:

1990-1994 Secondary education, Rade Jovcheski-Korchaghin High School, Skopje

1995-2001 Professor of Mathematics, Institute for Mathematics, Faculty of Natural Sciences and Mathematics, University of Sts. Cyril and Methodius, Skopje

2010-2012 Master's degree in Informatics, Faculty of Informatics, FON University, Skopje

2014 – Doctoral Studies, Faculty of Informatics, Paisii Hilendarski University, Plovdiv, Republic of Bulgaria

Awards:

  • Thirteen November Award of the City of Skopje, 1991
  • Multiple awards and commendations in mathematics competitions organized by the Society of Mathematicians of Macedonia and People's Technique of the Republic of Macedonia

Information Technology Certificates:

Oracle 10g: Introduction to SQL, Oracle Database 10g: Program with PL/SQL, Oracle AS Discoverer 10g: Create Queries & Reports, Oracle Discoverer Administration 10g: Develop an EUL, Oracle Database 10g: Develop Applications Using HTML DB, Oracle Reports Developer 10g: Build Reports, Introduction to VB.Net, Microsoft VB 6.0, Introduction to ArcView 3, Personal Management Information System, HeRMeS Designer

Project Participation:

  • Edubuntu (project funded by the Ministry of Education and Science in 2009)
  • Modernization of Education (project funded by the Ministry of Education and Science in 2010)

Published Publications

Books:

  • Malcheski, R., Malcheski, A., Anevska, K.: On the Path of Mathematics Champions, Society of Mathematicians of Macedonia, 2014, Skopje
  • Malcheski, R., Malcheski, A., Anevska, K., Manova Erakovic, V., Markoski, G.: Selected Problems in Elementary Algebra, Society of Mathematicians of Macedonia, 2015, Skopje
  • Malcheski, R., Malcheski, A., Anevska, K.: Introduction to Elementary Number Theory, Society of Mathematicians of Macedonia, 2014, Skopje
  • Malcheski, R., Anevska, K., Malcheski, S.: Methodology of Research, FON University, Skopje, 2014
  • Malcheski, R., Malcheski, A., Anevska, K., Malcheski, S.: Solving Word Problems, Society of Mathematicians of Macedonia, 2013, Skopje
  • Malcheski, R., Grozdev, S., Anevska, K. (2015). Geometry of Complex Numbers, Archimedes, Sofia, ISBN 978-954-779-188-6 (in press)

Research Articles:

  • Anevska, K., Malčeski, R. (2014). Characterization of 2-inner product using Euler-Lagrange type of equality, International Journal of Science and Research (IJSR), ISSN 2319-7064, Vol. 3 Issue 6, pp. 1220-1222
  • Anevska, K., Malčeski, R. (2014). Generalization on parallelepiped equality in 2-normed space, IJPAST, ISSN 2229-6107, Vol. 22 No. 2, pp. 41-49
  • Anevska, K., Malčeski, R. (2014). Remarks on one S. S. Dragomir's results, American Journal of Engineering Research (AJER), e-ISSN 2320-0847 p-ISSN 2320-0936, Volume-03, Issue-02, pp. 1-3
  • Malčeski, R., Anevska, K. (2014). About the 2-Banach spaces, International Journal of Modern Engineering Research (IJMER), ISSN 2249–6645, Vol. 4 Iss. 5 May 2014, pp. 28-32
  • Malčeski, R., Anevska, K. (2014). Characterization of 2-inner product by strictly convex 2-norm of module c, International Journal of Mathematical Analysis, Vol. 8, no. 33, pp. 1647-1652, HIKARI Ltd
  • Malčeski, R., Anevska, K. (2014). Families of norms generated by 2-norm, AJER, e-ISSN 2320-0847 p-ISSN 2320-0936, Volume-03, Issue-05, pp. 315-320
  • Malčeski, R., Anevska, K. (2014). Strictly convex in quasi 2-pre-Hilbert space, IJSIMR, e-ISSN 2347-3142, p-ISSN 2346-304X, Vol. 2, Issue 07, pp. 668-674
  • Malčeski, R., Anevska, K. (2014). Parallelepiped inequality into 2-normed space and its consequences, IJSIMR, e-ISSN 2347-3142, p-ISSN 2346-304X, Vol. 2, Issue 08, pp. 719-728
  • Malčeski, S., Malčeski, R., Anevska, K. (2014). 2-semi-norms and 2-semi-inner product, International Journal of Mathematical Analysis, Vol. 8, 2014, no. 52, pp. 2601-2609, HIKARI Ltd
  • Malčeski, S., Malčeski, A., Anevska, K., Malčeski, R. (2015). Another characterization of 2-pre-Hilbert space, IJSIMR, e-ISSN 2347-3142, p-ISSN 2346-304X, Vol. 3, Issue 2, pp. 45-54
  • Malčeski, A., Malčeski, R., Anevska, K., Malčeski, S. (2015). A remark about quasi 2-normed space, Applied Mathematical Sciences, Vol. 9, no. 55, pp. 2717-2727
  • Anevska, K., Malcheski, R. (2014). Information reliability in automated systems of management, International Journal of Computational Engineering Research

Methodological Articles:

  • Anevska, K. (2014). Methodical approach for introduction of exponential entry of complex numbers in secondary education, Proceedings of the Congress of Mathematicians of Macedonia, September 24-27, 2014, Ohrid, Macedonia, pp. 13-19, ISBN 978-9989-646-69-0
  • Anevska, K., Gogovska, V., Malčeski, R. (2015). The role of complex numbers in interdisciplinary integration in mathematics teaching, Elsevier, Procedia - Social and Behavioral Sciences (in press), ISSN 1877-0428
  • Anevska, K., Grozdev, S., Malcheski, R. (2015). Comparative analysis regarding the study of transformations in the Euclidian plane applying complex numbers, Mathematics and Informatics, Vol. 58, No. 3, ISSN 1310–2230 (in press)
  • Gogovska, V., Anevska, K., Malčeski, R. (2014). Properties of thinking and adoption of mathematical knowledge, Proceedings of the 2014 International Conference on Education and Educational Technologies II (EET '14), Prague, pp. 101-105, ISBN 978-1-61804-231-6
  • Glavche, M., Anevska, K. (2014). Systems of exercises to improve the geometric representations of students in elementary education, Teacher, Vol. 6, pp. 28-32, ISBN 978-1-61804-231-6
  • Glavche, M., Malčeski, R., Anevska, K. (2015). Errors made by fifth-grade students in Macedonia while studying mathematics, Mathematics and Mathematical Education, 2015, 44, pp. 265-274, ISSN 1313-3330
  • Malčeski, R., Anevska, K., Glavche, M. (2014). The integration of mathematics instruction in elementary education, IJSR, ISSN 2319-7064, Vol. 3, Iss. 9, pp. 2394-2398

Professional Articles:

  • Malcheski, R., Anevska, K.: Congruences in the set of whole numbers I, Numerus, 3/2011-12, Skopje
  • Anevska, K., Malcheski, R.: Congruences in the set of whole numbers II, Numerus, 4/2011-12, Skopje
  • Anevska, K., Malcheski, S.: Geometric calculation of sums, Numerus, 2/2012-13, Skopje
  • Malcheski, S., Anevska, K.: The golden section and chess figures, Numerus, 1/2012-13, Skopje
  • Malcheski, R., Anevska, K. (2014). Homothety, Sigma, Skopje
  • Anevska, K. (2014). Covering a chessboard, Numerus, Skopje
  • Anevska, K., Gogovska, V. (2015). Calculating areas by coloring, Numerus, Skopje