The course aims to encourage the development of constructive criticism
on mathematical knowledge, by promoting a reflection on the ability to
distinguish between fundamental and ancillary notions, in order to insert
them into an educational path which is suitable for secondary school
Notions of algebra, geometry and mathematical analysis of courses of the
first two years of mathematics or equivalent courses
Notions of the history of education. Notions of the history of the teaching
of mathematics. The teaching of mathematics in its historical
development. Basic issues in mathematics education. Geometry and
foundations of geometry. Mathematics as a calculation. Mathematics as a
conceptual understanding and problem solving. Trends in current
mathematics education (embodied mathematics, semiotic mediation).
Tools and technologies in mathematics education.
Frontal lectures with teacher-student dialogue, in-depth studies and
group exercises (participatory planning also with the use of digital
Oral exam. The knowledge of the topics treated in the course and the
ability to link them together, as well as the active participation in the
lectures, will be assessed
Lecture materials will be available on the Moodle platform of the
University of Trieste. These materials must be integrated with the study
of the texts indicated by the teacher (with appropriate references to indepth
English, L. D. (Ed.) (2008). Handbook of international research in
mathematics education (II Edition). New York: Routledge.
Frajese, A., & Maccioni, L. (Eds.) (1970). Gli Elementi di Euclide. Torino:
Hilbert, D. (1970) (1968). Fondamenti della geometria. Milano: Feltrinelli.
Karp, A., & Schubring, G. (Eds.) (2014). Handbook on history of
mathematics education. New York: Springer.
Manacorda, M. A. (1997). Storia dell’educazione. Roma: TEN.
Polya, G. (1967) (1945). Come risolvere i problemi di matematica. Milano:
Polya, G. (1970-1971) (1962-1965). La scoperta matematica. Milano:
Resnick, L. B., & Ford, W. W. (1991) (1981). Psicologia della matematica e
apprendimento scolastico. Torino: SEI.
Vita, V. (1986). I programmi di matematica per le scuole secondarie
dall’Unità d’Italia al 1986. Rilettura storico-critica. Bologna: Pitagora.
Wertheimer, M. (1965) (1945). Il pensiero produttivo. Edition by P. Bozzi.
Firenze: Giunti Barbera.