Geometry history and education

A.Y. 2019/2020
9
Max ECTS
73
Overall hours
SSD
MAT/04
Language
Italian
Learning objectives
This class will deal with some basic questions on the learning and teaching of middle and high school mathematics, setting the historical and laboratory perspectives in the appropriate theoretical math education frameworks.
In the optional second part the focus will be on some specific topics, the goal being the production of teaching items.
Expected learning outcomes
Basic elements of methodologies and technologies for the teaching of geometry useful for the exercise of the teaching profession.
Course syllabus and organization

Single session

Responsible
Lesson period
First semester
Prerequisites for admission
A thorough understanding of the bases of mathematics
Assessment methods and Criteria
Written exam of Euclidean geometry.
Lab test with GeoGebra.
Writing of a didactic unit.
Oral exam, with presentation and discussion of the D. U.
Storia e Didattica dellla Geometria (prima parte)
Course syllabus
An introduction to Maths Education; from Euclid's Elements to Hilbert's Grundlagen der Geometrie; Euclidean geometry lab.
Teaching methods
Academic lectures and computer lab
Teaching Resources
Euclide, Elements. Any edition.
A. Baccaglini-Frank, P. Di Martino, R. Natalini, G. Rosolini, Didattica della Matematica. Mondadori università, 2018.
R. Hartshorne, Geometry: Euclid and Beyond. Springer, 2010.
Storia e Didattica della Geometria (mod/02)
Course syllabus
Argumentation in Mathematics; construibility; non Euclidean geometries
Teaching methods
Seminars
Teaching Resources
Seminar notes. It could be useful to refer to the corresponding chapters of Baccaglini-Frank et al. and of Hartshorne.
Storia e Didattica della Geometria (mod/02)
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 3
Lessons: 21 hours
Professor: Mantovani Sandra
Storia e Didattica dellla Geometria (prima parte)
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Laboratories: 24 hours
Lessons: 28 hours
Educational website(s)
Professor(s)
Reception:
Thursday 12.45-14.15, by appointment
Studio 1019, I Floor, Dipartimento di Matematica, Via Saldini, 50