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.
Euclid's Geometry. Hilbert's Axioms. Geometry over Fields. GeoGebra Lab. Digital Microworlds.
Prerequisites for admission
Knowledge of principles and main theories of math education
Face-to-face lectures; computer lab; work in small groups
R. Hartshorne, Geometry: Euclid and Beyond. Springer, 2010. A. Baccaglini-Frank, P. Di Martino, R. Natalini, G. Rosolini, Didattica della Matematica. Mondadori università, 2018. Euclid, The Elements. Any edition.
Assessment methods and Criteria
Written exam. Lab exam on GeoGebra. Presentation of a teaching project. Attending the GeoGebra lab excuses from the lab exam.