Miroslava Mihajlov Carević – Faculty of Mathematics and Computer Science, AlfaBK University, Belgrade, Serbia

Milena J. Petrović – Faculty of Science and Mathematics, University of Priština, Kosovska Mitrovica, Serbia

Nebojša Denić – Faculty of Science and Mathematics, University of Priština, Kosovska Mitrovica, Serbia

DOI: https://doi.org/10.31410/EMAN.S.P.2020.147

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; ISBN 978-86-80194-31-8, ISSN 2683-4510


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 studies and research results, the quality of mathematics teaching
in schools was examined. The results of the research of the authors of this paper showed the lack of a
visual-logical approach in solving mathematical problems. Primary and secondary school students are
primarily trained in mastering formulas and algebraic procedures that help them solve a given task. In
order to develop the ability to perceive lawfulness and logical thinking, we organized introducing elementary
and secondary school students to figurative numbers and selected examples that demonstrate
the observation of lawfulness among numbers. We applied work in collaborative groups using computers
and GeoGebra software. The results showed the students’ ability to perceive lawfulness and to successfully
solve tasks by applying the observed lawfulness. They also confirmed the effectiveness of mathematical
learning with the use of computers, mathematical software and working in collaborative groups.


Implementation, Visualization, Representation.


Allegra M., Chifari A. & Ottaviano S. (2001). ICT to train students towards creative thinking,
Educational Technology & Society, 4(2), 48-53.
Arcavi, A. (2003). The role of visual representations in the learning of mathematics.
Educational studies in mathematics, 52(3), 215-241.
Bozkurt, G. & Ruthven, K., (2016). Classroom-based professional expertise. A mathematics
teacher’s practice with technology, Educ. Stud. Math., DOI 10. 1007/s 10649-016-973-5.
Chai, C., Lin, W.-Y., So, H.-J. & Cheah, H.M. (2011). Advancing collaborative learning with
ICT: Conception, cases and design. Singapore: Ministry of Education.
Dooly, M. (2008). Constructing knowledge together. In M. Dooly (Ed.), Telecollaborative language
learning. A guidebook to moderating intercultural collaboration online (pp.21-24).
Bern: Peter Lang.

Doruk, B. K., Aktumen, M. & Aytekin, C. (2013). Pre-service elementary mathematics teachers’
opinions about using GeoGebra in mathematics education with reference to ‘teaching
practices’. Teaching Mathematics and Its Applications, 32(3), 140-157.
Duval, R. (1999). Representation, Vision and Visualization: Cognitive Functions in Mathematical
Thinking. Basic Issues for Learning.
Gavrilović, S., Denić, N., Petković, D., Živić, N. V., & Vujičić, S. (2018). Statistical evaluation of
mathematics lecture performances by soft computing approach. Computer Applications in
Engineering Education, 26(4), 902-905.
Hohenwarter, M. & Fuchs, K. (2004). Combination of dynamic geometry, algebra and calculus
in the software system GeoGebra. In Computer Algebra Systems and Dynamic Geometry
Systems in Mathematics Teaching Conference.
Hohenwarter, J., Hohenwarter, M. & Lavicza, Z. (2009). Introducing dynamic mathematics
software to secondary school teachers: The case of GeoGebra Journal of Computers in
Mathematics and Science Teaching, 28(2), 135-146.
Lavicza Z. & Varga Z. P. (2010). Integrating GeoGebra into IWB-equipped teaching environments:
preliminary results, Technology, Pedagogy and Education, Vol. 19, No.2, 245-252.
Mihajlov Carević, M., Kopanja, L. & Denić, N. (2017). Figurativni brojevi kao sredstvo za
prezentaciju paradigmi i razvijanje konstruktivnog mišljenja, Nacionalna konferencija sa
međunarodnim učešćem, Čačak, Zbornik radova ITOP17, 217-224.
Mihajlov Carević, M., Kopanja, L. & Denić, N. (2018). GeoGebra as a tool for understanding
and learning of mathematical quantities in Cartesian coordinate system, The first international
conference on education MICE 2017, ”Promjena stvarnosti kroz obrazovanje”,
Mostar, ISSN: 2303-7342, str. 221-226, 2018.
Mihajlov Carević, M., Petrović, M. & Denić, N. (2018). Numbers to development of visual
logical approach to solving tasks with numerous strings, Međunarodna naučna konferencija
„Savremene perspektive vaspitno-obrazovnog rada“, Internacionalni univerzitet u
Novom Pazaru, Univerzitetska misao – časopis za nauku, kulturu i umjetnost, (17), 72-85.
Mihajlov Carević, M., Petrović, M. & Denić, N. (2019). Figurative numbers contribution in perceiving
the legality in numerous strings tasks and long-term memory of numerous data,
EURASIA Journal of Mathematics, Science and Technology Education, 15(4): em1692.
Petrović, M. & Kontrec, N. (2017). Possibilities for applying team teaching system in order to
improve the efficiency of math teaching, A collection of papers from the National Conference
with international participation, Leposavić: Innovation in education- digitalization,
innovation models and programs.
Tabach, M. (2012). A mathematics teacher’s practice in a technological environment: A case
study analysis using two complementary theories, Technology, Knowledge and Learning,
16(3), 247-265.
Takači, Đ., Stankov, G. & Milanović, I. (2015). Efficiency of learning environment using Geo-
Gebra when calculus contents are learned in collaborative groups, Elsevier Ltd, 0360-1315.
Van Garden D., Montague M., (2003). Visual-spatial representation, mathematical problem solving
and students of varying abilities, Learning Disabilities Research & Practice, 18(4),
Viamonte, A. J. (2010). The computer in the teaching of mathematics. In Proceeding of advanced
educational technologies. 6th WSEAS/IASME International conference on educational
technology (EDUTE’10) (pp. 24-29).
Wang, M., Wu B., Kinshuk, Chen N. S., Spector J. M., (2013). Connecting problem-solving
and knowledge-construction processes in a visualization-based learning environment,
Computers & Education, 68, 293-306.

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