DIDATTICA DELLA MATEMATICA 1

The course aims to provide those skills related to the role of mathematics’ teacher (for middle and high school) through theoretical framework in math education and concrete experience. In particular, the following objectives are pursued:

a. Knowledge and understanding: analyse the main problems of teaching/learning mathematics in real contexts. Knowledge of some theoretical frameworks in math education

b. Applied knowledge and understanding: design effective educational paths for specific schools/classes and specific topics; Apply teaching methodologies in real class contexts, experimenting them.

c. Making judgments: analyse the carried out experimentations under the lens of the main theoretical research frameworks in mathematics’ education.

d. Communication skills: learn to communicate mathematical contents in a simple way, highlighting the mathematical meanings underneath the contents; knowing how to communicate with colleagues, in order to enhance teamwork skills.

e. Learning skills: ability to work both in groups and independently; enhance creative skills; learn how to design teaching activities by adapting the topic to the most appropriate teaching transposition, acquire professional skills related to the teaching role.

The course is divided into four parts:

In the first part of the course (about 12 hoours) we will deal with some theoretical frameworks in Math Education (Objective a.)

In the second part (about 20 hours) the main problems inherent to the topics chosen for the classroom experiments will be analysed. Students will choose appropriate didactic strategies and will design didactic paths suitable for the classes chosen to experiment (Objectives a., b. , d. and e.).

In the third part of the course (about 9 hours) the designed paths will be applied in the classes. The experiments will be video-recorded. (Objectives b., c. and e.).

In the fourth part of the course (about 6 hours) the videos recorded in the experimentation phase will be analysed to evaluate their teaching effectiveness. (Objective c.).

If logistically possible, a visit to a science museum will take place. (Objectives d. And e.)

Activities related to teacher training are foreseen within the course. (Objectives e.).

Information for students with disabilities and / or SLD

To guarantee equal opportunities and in compliance with the laws in
force, interested students can ask for a personal interview in order to
plan any compensatory and / or compensatory measures, based on the
didactic objectives and specific needs. It is also possible to contact
the referent teacher CInAP (Center for Active and Participated
Integration - Services for Disabilities and / or SLD) of our Department,
prof. Patrizia Daniele.

Knowledge of Italian language. The course is accessible only for Italian-speakers, because students are requested to design and experiment teaching/learning activities in italian real classes.

Deep knowledge of the mathematical topics of middle and secondary school.

Theoretical frameworks in math education research: Mathematics' Laboratory; Collaborative and cooperative learning; Vygotskij theory; Artifacts and instruments; TPACK; History of mathematics in math education; Critical mathematics education and Mathem-Ethics.

Analysis of problematic situations within the teaching of mathematics.

Planning of activities and didactic paths for schools also with the use of digital technologies.

Analysis of students in mathematics’ activity under the lens of research theories in mathematics education.

The main resource is attendance at the course, during which the didactic paths will be developed. If useful, research papers will be provided.

What teaching theories or methodologies have been applied in this instructional design?

How can student learning be assessed?

What improvements could be made to the proposed activity?