DIDATTICA DELLA MATEMATICA 1

To know the main theoretical frameworks in mathematics education.

To know the main methodologies developed in mathematics education.

To know how to manage concrete classroom situations in the process of teaching-learning mathematics in secondary school.

To be able to use technologies for the teaching of mathematics.

The course aims to provide theoretical and practical tools for professional growth as a teacher of mathematics.

Each lesson, therefore, consists of two parts:

I) In the first part of the lesson, knowledge of pedagogical theories and didactical methodologies is conveyed through participatory frontal lessons;

II) in the second part of the lesson in general these theories and methodologies are put into practice in

laboratory activities (usually already tested at school), often in a collaborative or cooperative way.

If logistically possible, a visit to a science museum is planned.

The course includes activities related to teacher training.

• Theoretical frameworks and basic elements of mathematics education;
• Institutional context: National guidelines for high schools and guidelines for technical and professional institutes;
• Classical models of mathematical learning and specific studies on the development of mathematical thought;
• The didactical methodology of the mathematics laboratory;
• History of mathematics in mathematics education;
• Presentation and discussion of the main cognitive and didactic aspects (strategies and methodologies, the role and management of error, misconceptions, registers of representation, ...);
• Reflection on some transversal skills such as argumentation, conjecture and proof through guided analysis of teaching materials supported by experiments (UMI, m@t.abel, ...) and INVALSI tests of mathematics for possible educational uses;
• Study of the teaching and learning processes of mathematics mediated by the use of technologies, with particular attention to new digital technologies;
• Examples of national and international research in mathematics education.

1. Materiale didattico fornito dal docente
2. B. D’Amore, S. Sbaragli. (2011). Principi di base di Didattica della matematica. Bologna: Pitagora.
3. R. Zan. (2007). Difficoltà in matematica. Osservare, interpretare, intervenire. Milano: Springer.
4. Villani, V. (2003). Cominciamo da zero: domande, risposte e commenti per saperne di più sui perchè della matematica: aritmetica e algebra. Bologna: Pitagora.
5. Villani, V. (2006). Cominciamo dal punto: domande, risposte e commenti per saperne di più sui perché della matematica (geometria). Bologna: Pitagora.
6. 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
7. U.M.I. Matematica 2001 – Materiali per un nuovo curricolo di matematica con suggerimenti per attività e prove di verifica: http://www.umi-ciim.it/materiali-umi-ciim/primo-ciclo/