INVEDUMAT: Research in Mathematical Education at University Level

Brief description:
Research in teaching and learning of mathematics at university level is relatively new in the field of mathematics education. Some studies have highlighted a number of external factors affecting the university education such as, for example, the increasing number of students coming to University, the growing gap between secondary and tertiary education, the rapid development of technology and the evolution of scientific and social demand concerning mathematics.
In the transition from high school to college, we distinguish several epistemological approaches, cognitive, and sociocultural perspectives teaching, which emphasize different origins of rupture: modes of thought, knowledge organization and modes of mathematical reasoning expert demonstration aspects of language and practices related to the mathematical community, transposition and didactic contract.

Aims of the program:
This program will give priority to the transition from high school to university education and the integration of technology in learning mathematics.
An aim of the program will be to answer the following question: How to encourage the development of cognitive flexibility in students through teaching practices by integrating technological uses?

Website:        http://www.mat.ucm.es/catedramdeguzman/drupal/
                        http://www.mat.ucm.es/catedramdeguzman/drupal/igm/igm
                        http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=70980
                        http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=25920

Researchers: Inés Mª Gómez Chacón (Associate Professor, Fac. Math. UCM)
Carlos Andradas (Full Professor, Fac. Math. UCM)
Capi Corrales (Associate Professor, Fac. Math. UCM)
Antonio Díaz-Cano (Associate Professor, Fac. Math. UCM)
Jesús Escribano (Associate Professor, Fac. Math. UCM)
José Manuel Gamboa (Full Professor, Fac. Math. UCM)
Juan Antonio Infante (Associate Professor, Fac. Math. UCM)
Victoria López (Associate Professor, Fac. Computing UCM)
Mª Ángeles Prieto (Associate Professor, Fac. Math. UCM)
Mercedes Sánchez (Fac. Math. UCM)
Luis Sanz (Fac. Math. UCM)
Blanca Souto (PhD Student, Fac. Math. UCM)

External collaborators:  Alain Kuzniak and team (Université de Montréal, Université Paris Diderot, Laboratoire de Didactique André Revuz).
Philippe Richard (Université de Montréal.)

Future events:  Organization in Madrid of the Colloque MWS-4: Mathematical Work Space, in collaboration with Université de Chypre, Université de Montréal, Université Paris Diderot, Laboratoire de Didactique André Revuz in 2014.
GeoGebra Conference in 2013 and 2014 with the support of the GeoGebra Institute of Madrid that belongs to the network The International GeoGebra Institute (IGI, http://www.geogebra.org/igi)

Publications: Some members of the INVEDUMATprogramme recently contributed to the publication of the Proceedings of the ETM4 conference. You can find the complete proceedings here: Link Please cite the text as:

Gómez-Chacón, Mª I., Escribano, J., Kuzniak A., Richard, P. (Eds.) (2015). Espacio de Trabajo Matemático, Actas Cuarto Simposio Internacional ETM. Madrid: Publicaciones del Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid. ISBN: 978-84-606-9475-5

Gómez-Chacón, Mª I., Escribano, J., Kuzniak A., Richard, P. (Eds.) (2015). Mathematical Working Space, Proceedings Fourth ETM Symposium. Madrid: Publicaciones del Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid. ISBN: 978-84-606-9475-5

Gómez-Chacón, Mª I., Escribano, J., Kuzniak A., Richard, P. (Eds.) (2015). Espace de Travail Mathématique Actes Quatrième Symposium ETM. Madrid: Publicaciones del Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid. ISBN: 978-84-606-9475-5