Issues involving learning and teaching mathematics with respect the teaching in secondary school. The course also proposes issues studied in mathematics education with respect both to specific content and general content (v.g problem solving)
Documents and papers provided by the instructor.
- P.L.Ferrari, Matematica e Linguaggio. Quadro teorico e idee per la didattica, Pitagora, Bologna 2004
- R. Zan, Difficoltà in Matematica Osservare, Intepretare, Intervenire. Springer 2007.
Learning Objectives
The course aims to acquire didactic knowledge about teaching and learning mathematics
The competencies that the course aims to develop in its participants are to:
- Read and understand research papers in mathematics education
- Read with a critical approach a research paper or a book
- Analyze whether artifacts are appropriate for the mediation of particular mathematical concepts,
- Be able to use dynamic geometry environments;
Prerequisites
None
Teaching Methods
Discussion, critical reading of papers and book chapters, traditional teacher-led classes.
Further information
NONE2
Type of Assessment
Evaluation consists of an oral interview and a seminar activity based on the reading of an assigned text about mathematical education.
The oral interview focuses on the topics dealt with in the lesson and aims to evaluate the acquired knowledge and the ability to expose them critically and consciously.
The seminar activity is prepared in groups of 2/3 students to promote the ability to work in teams and is presented to the teacher and other students. Understanding the read text, contextualization capability, ability to communicate the essential points, and constructive objections are evaluated.
Course program
Issues related to the teaching and learning of mathematics through some important "theories" giving a general overview of the research in mathematics education. In details: Piaget and constructivism in mathematics education;
The Theory of Didactical Situations;
Vygotsky and the theory of of Semiotic Mediation;
Sfard and the Theory of "commognition", Fischbein and the theory of figural concepts, Van Hiele's model of learning geometry Mathematical learning difficulties;
Assessment