The Problem Based Learning (PBL) Applied to Higher Education: San Carlo Alle Quattro Fontane from Mathematics and Historical Sources

By Maria Luisa Garcia Valverde and Antonio López Carmona.

Published by The International Journal of Science, Mathematics and Technology Learning

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Article: Print $US10.00
Published online: June 11, 2015 $US5.00

The new university studies in Spain have produced the progressive change of traditional methodologies with more active and varied ones. Among these is“based problem learning” (BPL), which involves active students’ involvement in their education, improves their academic performance, and combines the use of both traditional and electronic search tools to deepen other academic disciplines to ensure transversality and the acquisition of different competencies of mathematics. This paper aims to apply this methodology to an advanced mathematics course in civil engineering. We focus on the church of San Carlo Alle Quattro Fontane (Rome, 1638–41), studied from different points of view: mathematical,location, analysis, and interpretation of historical sources. The analysis of the results obtained in the application of this methodology is given.

Keywords: Based Problem Learning, Applied Mathematics, Historical Sources, Differential Geometry, Francesco Borromini

The International Journal of Science, Mathematics, and Technology Learning, Volume 22, Issue 3, September 2015, pp.31-42. Article: Print (Spiral Bound). Published online: June 11, 2015 (Article: Electronic (PDF File; 750.358KB)).

Dr. Maria Luisa Garcia Valverde

Professor, Departamento de Historia Medieval y Ciencias y Técnicas Historiográficas. Facultad de Filosofia y Letras. Universidad de Granada. ESPAÑA, Universidad de Granada (Spain), Granada, Spain

Dr. Antonio López Carmona

Full Professor, Dept. Matemática Aplicada, Facultad de Ciencias, Universidad de Granada (Spain), Granada, Granada, Spain

Antonio López Carmona is a full professor and Ph. D. in Applied Mathematic in Dept. of Applied Mathematic (University of Granada). His research field is the multivariate polynomial interpolation and, also, the History of Mathematics. Some interesting publications are “An interpolation identity formula and applications” and he’s a co-author of the monography “El saber universitario a comienzos del siglo XVI: Gregor Reichs”, Granada, Universidad, 2010). He’s a reviewer of Mathematical Reviews and, also, Zenträlblatt für Mathematik. He teaches courses on Applied Mathematic in Civil engineering and he’s speaker and attendees of educational innovation courses applied to higher education. He’s co-author with María Luisa García Valverde of “Learning in the Distance: Applied Technology to Palaeography and Diplomatic Learning, The International Journal of Adult, Community and Professional Learning, Volume 19, Issue 3, pp.1-9”.