Primary teacher education

Activity type

Discipline matematiche

SSD

MAT/04

Year

1st year

Semester

1st semester

CFU

3

Hours distribution

16 classroom hours, 12 laboratory hours

Lecturers

VALENTINA BARUCCI

Activity type

Discipline matematiche

SSD

MAT/02

Year

1st year

Semester

1st semester

CFU

6

Hours distribution

48 classroom hours

Lecturers

ANNALISA CUSI

Activity type

Discipline matematiche

SSD

MAT/04

Year

1st year

Semester

1st semester

CFU

3

Hours distribution

24 classroom hours

Lecturers

VALENTINA BARUCCI

General aims:
To acquire basic knowledge and skills in mathematics, about numbers and structures and to be able to apply them in various contexts. To acquire basic knowledge and skills useful for teaching paying attention to mathematical language and reasoning.

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
The course is aimed at making students reach the following specific aims:

Knowledge and understanding
develop the capability of correctly translating information from verbal to mathematical language, and viceversa; becoming able to use algebraic language and, more generally, mathematical representations in different registers as thinking tools. Being able to use algebraic language and other representation tools in an aware way. Being able to explore numerical situations and, more generally, mathematical representations to recognize properties, produce conjectures and develop argumentations.

Apply knowledge and understanding:
Develop competences useful to design and implement teaching-learning processes in relation to the themes of "numbers" and "relations and functions". Being able to design effective methodologies through which leading students to develop aware and reasonable choices.

Critical and judgment skills
Being able to compare different strategies to solve problems and to reflect on the most effective approaches to face them.

Communicative skills
Being able to develop effective argumentations on the strategies adopted to face problems; being able to reflect on the argumentations produced by others; being able to argument on the most effective didactical approaches to be adopted in relation to the themes "numbers" and "relations and functions".

Learning skills
Develop awareness about the need of pursuing longlife professional education and of keeping in touch with institutional structures and of being open to civil society.



Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
The basics of mathematics that are taught in the five years of high school.


Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
• Didactical reflections on the strand "Numbers": concept of number and its different aspects; counting process; natural numbers: operations, meanings and properties; number line; whole numbers; fractions and percentages.
• Didactical reflections on the strand "Relationships and functions": modeling; representation registers; direct and inverse proportionality, from sequences to functions.
• Use of algebraic language as a tool for reasoning: focus on exploration, conjecture and argumentation processes. Identify and describe regularities; produce conjectures, test them and validate them; justify claims in numerical terms.
• Early algebra: an approach to arithmetic through a a pre-algebraic perspective.
• Methodological aspects: the mathematics laboratory, problem solving and problem posing.
• Cognitive and affective aspects: reflections on learning difficulties and on the attitude toward mathematics.
• Analysis of teaching experiences, textbooks, questions from Invalsi tests.


Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
The slides of the lessons and teaching materials will be shared on the e-learning page of the course.

The main reference textbooks for the course will be:
1) Barucci V. (2019). Matematica per la scuola primaria, Padova, Libreriauniversitaria.
2) Sabena C., Ferri F., Martignone F., Robotti E. (2019). Insegnare e apprendere matematica nella scuola dell’infanzia e primaria. Milano: Mondadori.
3) Bazzini, L., Scimone, A, Spagnolo, F. (2006). Il mondo dei numeri. Teoria e didattica. Ed. Palumbo.



Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
N/D
Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
The teaching methodology adopted for the course will be characterized by interactive lessons and moments devoted to working group activities and collective discussions, focused on the analysis of activities for the classes, students’ protocols and excerpts that document teaching-learning processes.
The student will find on the e-learning platform the slides and the teaching materials useful for the preparation of the exam. This platform will be used also to assign “distance tasks”, which will be discussed during the lessons.
If the course will have to be held also at distance due to the COVID emergency, the teacher will adopt the following methodology:
- online lessons through zoom or Google-meet;
- video-recording of online lessons and sharing of these recordings on the e-learning page of the course;
- assigning distance-tasks via the e-learning page of the course and discussing them during online lessons.



Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
Course attendance is mandatory.


Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
Analysis of individual or group production, as essays, structured forms, or designed teaching materials, to be formatively assessed during the course. Collection of individual reflections on the path developed within the course.
Final oral examination on the contents of the course and on their teaching.


Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
During the exam, students will be asked to answer to questions aimed at stimulating reflections on the main issues provided by means of the different activities realized during the course (both group and collective activities).


Module: From arithmetic to algebra. From algebra to arithmetic
N/D

Module: The different number systems
N/D
Module: Manipulate numbers and recognize structures
N/D
Module: From arithmetic to algebra. From algebra to arithmetic
N/D