1. Critical analysis of the evolution of ideas and methodologies in mathematics teaching, with particular regard to the role of the teacher. 2. The mathematics curriculum in compulsory education and in the various addresses of secondary schools (high schools, technical institutes and professional institutes) in an international framework 3. Educational design and teaching methods of mathematics: programming and rhythm, principles and methods for activity building, class management. 4. Troubleshooting. Logic, intuition and history in the teaching of mathematics.
Curriculum
teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Fruizione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 R 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 indications.Prerequisiti
The contents of a Calculus courseCore 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
Lectures and laboratory sessions. During the weeks of lessons, assignments are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Attendance
Attendance is highly recommended, but not mandatoryType of evaluation
Assessment is based on 3-4 written tests assigned during the course (short essays to be submitted); a simulated lesson, which takes place during the course; a written test and an oral exam. teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Fruizione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 R 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 indications.Prerequisiti
The contents of a Calculus courseCore 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
Lectures and laboratory sessions. During the weeks of lessons, assignments are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Attendance
Attendance is highly recommended, but not mandatoryType of evaluation
Assessment is based on 3-4 written tests assigned during the course (short essays to be submitted); a simulated lesson, which takes place during the course; a written test and an oral exam. teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Fruizione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 R 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 indications.Prerequisiti
The contents of a Calculus courseCore 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
Lectures and laboratory sessions. During the weeks of lessons, assignments are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Attendance
Attendance is highly recommended, but not mandatoryType of evaluation
Assessment is based on 3-4 written tests assigned during the course (short essays to be submitted); a simulated lesson, which takes place during the course; a written test and an oral exam. teacher profile teaching materials
ANA MILLÁN GASCA, All'inizio fu lo scriba, Mimesis, 2004
ENRICO GIUSTI, Analisi matematica 1, Bollati Boringhieri, 2002
Fruizione: 20410456 MC420-DIDATTICA DELLA MATEMATICA in Matematica LM-40 R 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 indications.Prerequisiti
The contents of a Calculus courseCore 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
Lectures and laboratory sessions. During the weeks of lessons, assignments are assigned to be carried out individually or in groups, which will be corrected and discussed in the classroom.Attendance
Attendance is highly recommended, but not mandatoryType of evaluation
Assessment is based on 3-4 written tests assigned during the course (short essays to be submitted); a simulated lesson, which takes place during the course; a written test and an oral exam.