History and Teaching of Geometry (First Part)

A.Y. 2020/2021
6
Max ECTS
47
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.
Expected learning outcomes
Basic elements of methodologies and technologies for the teaching of geometry useful in forming a perspective math teacher.
Course syllabus and organization

Single session

Responsible
Lesson period
First semester
Synchronous and asynchronous distance learning
Course syllabus
An introduction to Maths Education; from Euclid's Elements to Hilbert's Grundlagen der Geometrie; Euclidean geometry lab.
Prerequisites for admission
A thorough understanding of the bases of mathematics
Teaching methods
Live lectures; recored videos; live discussion; discussion forum; Geogebra 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.
Assessment methods and Criteria
Written exam of Euclidean geometry.
Lab test with GeoGebra.
Periodical essays to be presented on scheduled dates
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Laboratories: 12 hours
Lessons: 35 hours
Professor(s)
Reception:
Thursday 12.45-14.15, by appointment
Studio 1019, I Floor, Dipartimento di Matematica, Via Saldini, 50