LEARNING OUTCOMES

Objectives of the course : A) revising some basic concepts in arithmetic and geometry (in particular: natural numbers, rational numbers, angle), with reference to the possible application and learning situations in nursery and primary school; B) developing logical and linguistic competences concerning the use of the Italian language in mathematical activities, giving special attention to communication problems in nursery and primary school and to argumentation

AIMS AND LEARNING OUTCOMES

The teaching aims to consolidate and acquire basic mathematical knowledge and skills concerning some of the nuclei of the National Indications (MIUR, 2012) for primary and kindergarten. The central theme will be "numbers" with attention to exploring, conjecturing and arguing. In particular, attention will be paid to:

    Sense of the number
    Genesis of the number
    Development of counting and calculation skills
    Natural numbers and their representation in the decimal-positional system, decimal numbers
    Natural numbers and properties of arithmetic operations

Attendance and active participation in the proposed training activities (lectures and laboratory activities) and individual study will allow the student to:

- know the theoretical foundations and the languages ​​of mathematics.

- know disciplinary teaching approaches related to kindergarten and primary school mathematics, with attention to interdisciplinary links.

Furthermore, at the end of the course, the student will be able to:

- Designing mathematical lteaching and earning paths.

- Reading dissemination and research articles in mathematics education, demonstrating that they are able to grasp, evaluate and use the results of empirical studies in order to build knowledge and improve teaching interventions.

- Working in groups for the planning, organization and assessment of didactic interventions related to mathematics.

- Using the main representative methods typical of mathematics (different number scripts, algebraic register, graph, tables) and beeing  able to express a mathematical argument in a clear and complete manner.

- Knowing how to recognize mathematical and didactic models faced in teaching in new contexts and knowing how to apply them appropriately.

TEACHING METHODS

Lessons will be held face to face or online in accordance with the University regulations  the health emergency. The recordings of the lessons  will be available on streaming.

In particular, the teaching is divided into lectures and discussions with students.
Students will be provided, on the teams or Aulaweb platform, with study materials (slides, articles, videos ...) which will be discussed / verified during the lessons.

There are also moments of work in small groups and subsequent discussion: students will be divided into working groups (in the classroom or on the Teams platform) and they will be asked to collaborate in the solution of tasks (reflection, production ...). The productions of the groups will be presented and discussed collectively during the plenary lessons (in person or online) with the possibility of revisions and relaunches

- The productions of the groups will be presented and discussed collectively during online lessons with the possibility of revisions and relaunches

SYLLABUS/CONTENT

The course aims to address mathematical aspects of fundamentals  cognitive and didactic problems relating to the nucleus Numbers: concept of number and its various senses; number system in decimal and other bases; counting and calculation process; natural numbers: operations, meanings and properties; number line; prime numbers, integers.

It also aims to present basic theoretical elements from research in mathematics education: body, tools and mathematical symbols; the mathematics laboratory; cognitive and didactic and affective aspects in the teaching-learning of mathematics.

Finally, the course aims to present examples of didactic activities related to the topics covered.

RECOMMENDED READING/BIBLIOGRAPHY

Slides and notes prepared by the teacher (uploaded in the AulaWeb space during the course).

Sabena, Martignone, Ferri, Robotti, (2019). Insegnare e apprendere matematica nella scuola dell'infanzia e primaria. Modandori Università

Bartolini Bussi (2008). Matematica. I numeri e lo spazio. Juvenilia.

Donaldson, M. (2009). Come ragionano i bambini. Springer Verlag.

Zan, R. (2007). Difficoltà in matematica. Osservare, interpretare, intervenire. Springer Verlag.

U.M.I. Matematica 2001- Materiali per un muovo curricolo di matematica con suggerimenti per attività e prove di verifica: http://umi.dm.unibo.it/old/italiano/Matematica2001/matematica2001.html

INDIRE - Risorse per docenti dai progetti nazionali: Il progetto M@t.abel: http://www.scuolavalore.indire.it/?s=search&keyword=&taxo[0][name]=ordine_di_scuole&taxo[0][term]=primaria&taxo[1][name]=discipline&taxo[1][term]=matematica