Institutos Universitarios

Eugenio Roanes Lozano

Catedrático de Universidad (Full Professor)
ExperimentalSocial and Mathematical Didactics Department
School of Education
Complutense University of Madrid




Full Professor at the Complutense University of Madrid since 2019. PhD in Mathematics (1991) and PhD in Computer Science (1993). Awarded `Premio Holanda' (1981) with a theoretical proposal of a railway block-system without line side signaling. Lead researcher of different research projects granted by the Spanish Government, the Junta de Extremadura, the Fundación de los Ferrocarriles Españoles and AERTEC consulting (about RBES development, railway engineering, airport terminals design and software for mathematics education development). Member of the Editorial Board of two JCR journals (`Mathematics and Computers in Simulation' and `Mathematical Problems in Engineering'). Member of the Board of Directors of the `Sociedad Puig Adam de Profesores de Matemáticas'. Advisor of 3 PhD Thesis in Computer Science and 2 PhD Thesis in Pedagogy.


Research interests

Applications of technology to mathematics education. Applications of computer algebra to logic and artificial intelligence. Applications of computational mathematics to transportation engineering. Applications of computer algebra to mechanical theorem proving in geometry.


Latest Publications

  • Enrique Ferres López, Eugenio Roanes Lozano. Una breve nota didáctica sobre la evaluación de funciones fuera de su dominio usando software matemático. Boletín de la Soc. Puig Adam, 113, 71-80, 2022
  • E. Roanes-Lozano, A. Martínez-Zarzuelo. A Decision Making Tool for Mathematics Curricula Formal Verification. In Mathematics Education in the Age of Artificial Intelligence. 2022, 77 - 88, vol 17, Springer, Cham.
  • E. Roanes Macías, E. Roanes Lozano. Redescubriendo y extendiendo algunos lugares geométricos clásicos con ayuda de GeoGebra. Boletín de la Soc. Puig Adam. 2021, 112, 7-26.
  • M. Villalba-Orero, E. Roanes-Lozano. A Prototype of a Decision Support System for Equine Cardiovascular Diseases Diagnosis and Management. Mathematics. 2021, 9(20), 2580.
  • E. Roanes-Lozano, C. Solano-Macías. Using Fractals and Turtle Geometry to Visually Explain the Spread of a Virus to Kids: A STEM Multitarget Activity. Mathematics in Computer Science. 2021, 15, 689–699.
  • Eugenio Roanes Lozano, Eugenio Roanes Macías. A simplified introduction to Virus Propagation using Maple's Turtle Graphics Package Suitable for Children. In Maple in Mathematics Education and Research. Editorial: Springer Nature Switzerland AG (Communications in Computer and Information Science CCIS 1414). 2021, 334-349. ISSN 1865-0929, 1865-0937 (electronic), ISBN 978-3-030-81697-1, ISBN 978-3-030-81698-8 (eBook).
  • A. Almech, E. Roanes Lozano. An Accelerated-Time Simulation of Queues at Ticket Offices at Railway Stations. Mathematical Problems in Engineering, 2021, 2021, Article ID 9313174.
  • C. Roncero-Clemente, E. Roanes-Lozano, F. Barrero-González. A Multi-Criteria Computer Package-Based Energy Management System for a Grid-Connected AC Nanogrid. Mathematics. 2021, 9(5), Article number 487.
  • E. Roanes-Lozano, J. L. Galán-García, G. Aguilera-Venegas. A computer approach to overtaking station track layout diagram design using graphs. An alternative track diagram proposal for these stations. Journal of Computational and Applied Mathematics. 2021, 391, Article number 113455.
  • E. Roanes Macías, E.Roanes Lozano. Introduciendo la derivación de funciones a través de visualización con GeoGebra. Boletín de la Sociedad "Puig Adam" de Profesores de Matemáticas. 2020, 110, 29-45. ISSN: 1135-0261. Link.
  • P. Solin, E. Roanes-Lozano. Using Computer Programming as an Effective Complement to Mathematics Education: Experimenting with the Standards for Mathematics Practice in a Multidisciplinary Environment for Teaching and Learning with Technology in the 21st Century. International Journal for Technology in Mathematics Education. 2020, 27(3), 147-156. Link.
  • E. Roanes-Lozano, P. Solin. Revisiting Elementary Arithmetic Through the Development of Iterative Sentences: Some Brief Reflections about the Ordering of the Corresponding Teaching Activities.International Journal for Technology in Mathematics Education. 2020, 27(3), 129-134, Link.
  • E. Roanes Lozano, A. Martínez-Zarzuelo, M. J. Fernández-Díaz. An application of knowledge engineering to mathematics curricula organization and formal verification. Mathematical Problems in Engineering. 2020, Article ID 3485846, 12 pages.
  • A. Almech, E. Roanes-LozanoA 3D proposal for the visualization of speed in railway networks. AIMS-Mathematics. 2020, 5(6), 7480-7499.
  • A. Almech, E. Roanes-Lozano. Automatic Generation of Diagrammatic Subway Maps for Any Date with Maple. Math.Comput.Sci. Published online 13th november, 2019.
  • A. Almech, E. Roanes Lozano, C. Solano Macías, A. Hernando. A New Approach to Shortest Route Finding in a Railway Network with Two Track Gauges and Gauge Changeovers. Mathematical Problems in Engineering Volume 2019, Article ID 8146150, 16 pages. DOI link: 
  • E. Roanes–Lozano, J. L. Galán–García , G. Aguilera–Venegas. A prototype of a functional approach to personalized menus generation using set operations. Advances in Computational Mathematics (2019) 45:1881–1895.
  • E. Roanes-Lozano, J. L. Galán-García, C. Solano-Macías. Some Reflections About the Success and Impact of the Computer Algebra System DERIVE with a 10-Year Time Perspective (2019). Mathematics in Computer Science, 13 (3), pp. 417-431. DOI:
  • E. Roanes-Lozano, R. González-Martín, J. Montero. An Algebraic Approach to DC Railway Electrification Verification (2019). Mathematics in Computer Science, 13 (3), pp. 449-457. DOI:

Contact details


L. M. Laita, L. de Ledesma, E. Roanes Lozano. The Genesis of Boole’s Logic: its History and a Computer Exploration. Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid, Serie de CC. Exactas, Tomo XXXIII, Madrid, 2005

E. Roanes Macías, E. Roanes Lozano. Cálculos Matemáticos por Ordenador con Maple V.5. Ed. Rubiños-1860 S.A., Madrid, 1999.
E. Roanes Macías, E. Roanes Lozano. Nuevas Tecnologías en Geometría. Ed. Complutense, Madrid, 1994.