MATTER: International Journal of Science and Technology ISSN 2454-5880 1 Gocheva-Ilieva et al, 2020 Volume 6 Issue 2, pp. 01-14 Date of Publication: 15 th July 2020 DOI- https://dx.doi.org/10.20319/mijst.2020.62.0114 This paper can be cited as: Gocheva-Ilieva, S. G., Iliev, I. P. & Ivanov, A. V., (2020). On the Assessment of Mathematical Competencies for Solving Non-Linear Equations. MATTER: International Journal of Science and Technology, 6(2), 01-14. This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. ON THE ASSESSMENT OF MATHEMATICAL COMPETENCIES FOR SOLVING NON-LINEAR EQUATIONS Snezhana Georgieva Gocheva-Ilieva Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria snegocheva@gmail.com Iliycho Petkov Iliev Technical University Sofia – Branch Plovdiv, Plovdiv, Bulgaria iliev55@abv.bg Atanas Valev Ivanov Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria aivanov_99@yahoo.com _____________________________________________________________________________ Abstract The process of learning and acquiring mathematics by students is inextricably linked with the need to measure the achieved level of their knowledge and skills at each stage of education. The aim of the study is to propose a methodological approach for evaluating students’ mathematics competencies in engineering degrees, developed in accordance with the results of the European Erasmus+ project Rules_Math. A competency assessment model is presented that includes three main components: multiple-choice test, tasks to solve and a small practical project on a topic from the curriculum for first-year students. The multiple-choice test aims to assess students' understanding of the basic notions, concepts, and methods in the field. Solving problems should measure the level of knowledge and skills acquired. The practical project could evaluate the