• Michela Tramonti Bulgarian Academy of Sciences, Bulgaria
  • Desislava Paneva-Marinova Bulgarian Academy of Sciences, Sofia, Bulgaria
  • Radoslav Pavlov Bulgarian Academy of Sciences, Sofia, Bulgaria
Keywords: mathematics education, learning by doing, inquiry-based learning, arts, technology-enhanced learning


According to worldwide surveys (such as PISA and TIMSS), European students often lack both mathematical and key basic competencies in science and technology. The mean scores for mathematics obtained by students are below the Organisation for Economic Co-operation and Development average (OECD). The learning of the mathematics literacy enables students to contribute effectively in actual society, enhancing their employment prospects. This paper intends to describe an innovative learning and teaching approach, actually in the development phase, in the field of mathematics for 14-16 years old students through the combination of current approaches used in Europe (such as inquiry based learning and technology-enhanced learning) and the Asian one, the Singapore’s method based on three phases, concrete-pictorial-abstract, through the use of artworks. This intends to allow the development of a more effective educational and training environment for teachers and their students who will benefit from the use of more attractive and fun pedagogical tools in the study of mathematics.


Brousseau, G. (2002). Theory of didactical Situations in Mathematics. New York: Kluwer Academic Publishers.

Clements, D. H. (1999). “Concrete” manipulatives, concrete ideas. Contemporary Issues in Early Childhood, 1(1), 56-57.

ERT. (2009). Mathematics, Science &Technology Education Report. OECD. Retrieved September 26, 2016, from

Gombrich, E.H. (2006). The Story of Art, Perfection Learning Corporation.

Gu, L., Huang, R., & Marton, F. (2004). Teaching with variation: a Chinese way of promoting effective mathematics learning. In L. Fan, N.-Y. Wong, J. Cai, & S. Li, How Chinese learn mathematics: Perspectives from insiders (pp. 309-347). Singapore: World Scientific.

Lamb, E. (2012). Bridging the Gap Between Math and Art. Retrieved March 13, 2017, from Scientific American:

Maletic, V. (1987). Body Space Expression: the development of Rudolf Laban’s movement and dance concepts. Berlin: Walter de Gruyter & Co.

Mullis, I. Et al. (2012). TIMSS 2011 International Results in Mathematics. Chestnut Hill, MA, USA: TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College and International Association for the Evaluation of Educational Achievement (IEA) IEA Secretariat Amsterdam, the Netherland. Retrieved March 10, 2017, from

OECD. (2014). PISA 2012 Results in Focus: What 15-year-olds know and what they can do with what they know. OECD. Retrieved March 13, 2017, from

Schwartz, K. (2015). How Integrating Arts into Other Subjects Makes Learning Come Alive. Retrieved March 10, 2017, from KQED:

Senka, G., Plota, S., Monova-Zheleva, M., Zhelev, Y., D., L., & Paneva-Marinova, D. (2016). Technology-enhanced Teaching of Exact Science through Art. Cultural heritage - conservation, presentation and digitization, 2, pp. 75–79. Veliko Tarnovo.

Zheleva, M., & Tramonti, M. (2015). Use of the Virtual World for Educational Purposes. Electronic Journal for Computer Science and Communications, 4(2), 106–125.