TEACHING MATHEMATICS A (PREFIT)
CAP1: RESEARCH IN THE DIDACTICS OF MATHEMATICS
Disciplinary teaching and general teaching: perspectives on research in the educational field. Current research topics in Mathematics Education at the international level, with particular attention to first and second level secondary schools: The role of epistemology and history in mathematics education research. Classical themes of disciplinary research and learning difficulties. Knowledge, competence, reference frameworks for the development of key competences for the citizen (examples from national and international development and competence assessment programs). General research, with particular attention to research conducted in the national field, for a scientific approach to research in mathematics education: theory of situations, didactic contract, didactic transposition (Brousseau, Sarrazy, D'Amore, Chevallard), obstacles, errors , misconceptions (Brousseau), theory of figural concepts and intuition in mathematics (Fischbein), concept image and concept definition (Tall and Vinner), semiotics and didactics of mathematics (Duval, Mariotti and Bartolini Bussi, D'Amore, Godino and Font), argumentation and demonstration (Boero and Morselli), problem solving (Brousseau, Schoenfeld, D'Amore), the role of language in the learning of mathematics, formative and summative assessment (Bolondi), methodologies for the teaching of mathematics ( laboratory, mathematical discussion, group work, technologies and software), affects and convictions (Zan, Di Martino), interdisciplinarity between mathematics and physics.
CHAP 2: FROM RESEARCH TO TEACHING-LEARNING IN THE CLASSROOM
Examples of teaching units on different themes and for different scholastic orders and evaluation tests.
The course has a weight of 6 CFU, which corresponds to 48 hours of lessons. The teaching activities will be conducted by giving lectures in the classroom in blended teaching mode (some students in the classroom and some connected in streaming), although there may be some lessons in remote synchronous teaching mode and part of the work will be carried out in laboratory mode, using the technologies available for sharing documents, the creation of virtual classrooms and collaborative writing. During the lectures the topics of the course are dealt with from a theoretical point of view and with detailed examples. In addition to the teaching methods presented so far, in-depth seminars are organized on the topics of the course. The slides and documents used to support the lessons will be uploaded at the beginning of the course on the Elly platform; To download the slides it is necessary to register for the online course. All shared material is considered an integral part of the teaching material. Non-attending students are reminded to check the available teaching materials and the indications provided by the teacher through the Elly platform, the only communication tool used for direct teacher / student contact. On this platform, on a weekly basis, the topics discussed in class are indicated, which will then form the contents index in preparation for the final exam.