Comunication and Teaching of Mathematics
A.Y. 2026/2027
Learning objectives
The course aims to address the foundations of mathematics in a thorough and critical manner, the implicit theories of intelligence and those of learning. The course aims to improve communication skills, to develop mathematical thinking, the ability to apply mathematics to other disciplines, to civic education, to the real world and to the development of the whole person according to modern research in pedagogy, neuroscience and cognitive development. The student will be involved in various activities, in particular communication and simulation activities in the educational context.
Expected learning outcomes
Students will be able to manipulate geometric figures and concepts and to explore their properties in a semi-autonomous way.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
The course covers the following three main aspects:
1. Active and Laboratory-Based Methodologies (Mathematics laboratory, outdoor mathematics, and interdisciplinary laboratories).
2. Game and Outreach (Game-based learning and storytelling).
3. Management of the Learning Process (Reflections on mistakes, assessment, and homework).
1. Active and Laboratory-Based Methodologies (Mathematics laboratory, outdoor mathematics, and interdisciplinary laboratories).
2. Game and Outreach (Game-based learning and storytelling).
3. Management of the Learning Process (Reflections on mistakes, assessment, and homework).
Prerequisites for admission
Basic Mathematics Skills
Teaching methods
Methodology: Hands-on, object-based learning, learning by doing, inquiry-based learning, cooperative and collaborative learning, game based learning.
Teaching Resources
During the course, recent research articles related to the topics covered will be suggested and made available on MyAriel. A selection of recommended readings is provided below
Castelnuovo, E. (2008). L'officina matematica. Ragionare con i materiali. Molfetta: Edizioni La Meridiana
D'Amore, B., Sbaragli, S., Fandiño Pinilla, M. I., & Marazzani, I. (2020). Le difficoltà di apprendimento in matematica. Bologna: Bonomo Editore
pratiche. Milano: FrancoAngeli.
Castelnuovo, E. (2008). L'officina matematica. Ragionare con i materiali. Molfetta: Edizioni La Meridiana
D'Amore, B., Sbaragli, S., Fandiño Pinilla, M. I., & Marazzani, I. (2020). Le difficoltà di apprendimento in matematica. Bologna: Bonomo Editore
pratiche. Milano: FrancoAngeli.
Assessment methods and Criteria
he final grade is expressed out of thirty, for a maximum total of 32 points (achieving 31 or 32 points results in the award of Lode / Honors).
The overall assessment is based on the sum of the scores obtained in three components:
1. Active participation (up to 4 points)
Attending students: Assessment of the contribution and active involvement during lecture hours.
Non-attending students: Participation is integrated and assessed through the submission of MANDATORY weekly assignments, which are required to make up for attendance.
2. Individual portfolio (from 0 to 14 points)
It consists of the creation of 5 individual projects.
The portfolio must be strictly submitted 15 days before the exam session date.
The discussion and critical analysis of these projects will form the subject of the oral exam.
3. Written exam (from 0 to 14 points)
Duration: 1 hour and 30 minutes (1.5 hours).
Structure: The exam requires a theoretical framework and a critical commentary on an activity similar to those presented and addressed in class.
The overall assessment is based on the sum of the scores obtained in three components:
1. Active participation (up to 4 points)
Attending students: Assessment of the contribution and active involvement during lecture hours.
Non-attending students: Participation is integrated and assessed through the submission of MANDATORY weekly assignments, which are required to make up for attendance.
2. Individual portfolio (from 0 to 14 points)
It consists of the creation of 5 individual projects.
The portfolio must be strictly submitted 15 days before the exam session date.
The discussion and critical analysis of these projects will form the subject of the oral exam.
3. Written exam (from 0 to 14 points)
Duration: 1 hour and 30 minutes (1.5 hours).
Structure: The exam requires a theoretical framework and a critical commentary on an activity similar to those presented and addressed in class.
MATH-01/B - Mathematics Education and History of Mathematics - University credits: 6
Lessons: 36 hours
Professors:
Morando Paola, Spreafico Maria Luisa Sonia
Shifts:
Professor(s)
Reception:
by appointment