1. Critical analysis of the evolution of ideas and methodologies in teaching mathematics, with particular emphasis on the role of the teacher. 2. The mathematics curriculum in compulsory schooling and in the various secondary schools (high schools, technical schools and trade schools), in an international context. 3. Didactic planning and methodologies for teaching mathematics: programming and rhythm, principles and methods for the construction of activities, classroom management. 4. Problem solving. Logic, intuition and history in teaching mathematics.
Curriculum
teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Mutuazione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 MAGRONE PAOLA
Programme
The course aims to introduce students to the teaching of mathematics in first and second grade secondary schools, through a historical-epistemological approach to the basic concepts of elementary mathematics (arithmetic, geometry, algebra, probability, functions). In particular: the teaching of mathematics and its evolution; numerical systems; Euclid's axioms and postulates; non-Euclidean and locally Euclidean geometries; geometric constructions with ruler and compass and mathematical machines; elements of history of infinitesimal calculus. Outline of national guidelines.Core Documentation
GIORGIO ISRAEL, ANA MILLÁN GASCA, Pensare in matematica, Zanichelli, 2012.ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Type of delivery of the course
The course includes 75% of lectures. The remaining 25% is dedicated to classroom exercises: students prepare a lesson on a topic agreed with the teacher and carry it out in the classroom. During the lesson weeks, deliveries are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Type of evaluation
The assessment is based on the written tests assigned during the course, a written test and an oral test (one week apart) teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Mutuazione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 MAGRONE PAOLA
Programme
The course aims to introduce students to the teaching of mathematics in first and second grade secondary schools, through a historical-epistemological approach to the basic concepts of elementary mathematics (arithmetic, geometry, algebra, probability, functions). In particular: the teaching of mathematics and its evolution; numerical systems; Euclid's axioms and postulates; non-Euclidean and locally Euclidean geometries; geometric constructions with ruler and compass and mathematical machines; elements of history of infinitesimal calculus. Outline of national guidelines.Core Documentation
GIORGIO ISRAEL, ANA MILLÁN GASCA, Pensare in matematica, Zanichelli, 2012.ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Type of delivery of the course
The course includes 75% of lectures. The remaining 25% is dedicated to classroom exercises: students prepare a lesson on a topic agreed with the teacher and carry it out in the classroom. During the lesson weeks, deliveries are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Type of evaluation
The assessment is based on the written tests assigned during the course, a written test and an oral test (one week apart)