CODE  66449 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/04 
LANGUAGE  Italian 
TEACHING LOCATION 

SEMESTER  1° Semester 
TEACHING MATERIALS  AULAWEB 
The course focuses on mathematical modeling and its teaching and learning in secodnary school
The course aims at promoting a reflection on the complex process of mathematical modeling and on the approximate and previsional nature of methods and results. The course addresses technical aspects of modeling, as well as historical/epistemological and didactical ones. Students will be led to reflect on the construction of a mathematical model and on the comparison between deterministic and probabilistic models. Students will also be led to reflect on the required knowledge for a first approach to modeling in school, and on difficulties and potentialities of such a first approach.
The course will encompass:
The analysis of experimental data in order to evaluate whether the models are suitbale to represent real situations (linear regression, exponential regression, tests…)
Mathematical analysis: onevariable functions, integral calculus, differential equations
Physics: basic notions of mechanics, thermodynamics and electromagnetism.
Probability: elementary probability, discrete and continuous random variables, law of large numbers and central limit theorem.
Didactics of mathematics: tools and knowledge of epistemology, history of mathematics, and psychology, finalized to the analysis of the problems related to the teaching and to the learning of mathematics in the secondary school.
Lectures, individual work on worksheets, class discussions
Mathematical modeling (differential models, stocastic processes) and its teaching and learning in secondary school: from a historical/epistemological reflection on modeling processes to educational design
 Belcastro A., Guala E., Eserciziario di probabilitá e statistica, Dip. di Matematica,Ge
 Costantini D., Monari P., Probabilità e giochi d’azzardo, Franco Muzzio Editore
 Devlin K., La lettera di Pascal, Rizzoli
 Glaymann M., Varga T., La probabilità nella scuola dell’obbligo, Armando Editore
 Guala E., Dispense di probabilitá e statistica Dipartimento di Matematica, Ge
 Guala E., Modelli deterministici e modelli probabilistici, Dip.di Matematica, Ge
 Hacking I., L’emergenza della probabilità, Il Saggiatore
 Israel G., La visione matematica della realtá, Laterza
 Mood A.M., Graybill F.A., Boes D.C., Introduzione alla statistica, McGrawHill
 Pintacuda N., Insegnare la probabilità, Franco Muzzio Editore
 Vajani L., Saggi sui processi stocastici, Giuffré Editore
 Volterra V., D’Ancona U., Les associations biologiques étudiées au point de vue mathématique, Hermann, Paris
Office hours: Contact the teacher: guala@dima.unige.it
ELDA GUALA (President)
FRANCESCA MORSELLI
ELISABETTA ROBOTTI (President Substitute)
According to the academical calendar
All class schedules are posted on the EasyAcademy portal.
Written examination
Individual review of all the worksheets.
Written dissertation on a given topic
The attendance to the lessons is recommended