OVERVIEW

The course aims at: 1) revising the concept of function, its uses and representations; 2) developing didactical competences related to its mathematics teaching; 3) developing the competence of planning and implementing teaching sequences, performing critical reflections on practice and carrying out meaningful assessment strategies

AIMS AND CONTENT

LEARNING OUTCOMES

Developing mastery (with a view to teaching) of coordinate systems and of various forms of graphic representation of situations and phenomena, giving special attention to the logical and linguistic competences involved. Particular problems related to primary and kindrgarten school will be taken into consideration

TEACHING METHODS

Laboratory-style lessons (individual work on worksheets + class discussions).

Frequency of minimum 2/3 of the lessons is required. Participants are expcted to fill the worksheets, produce homeworks and, cyclically, to write down the notes of the lessons.

Non-participant students are expected to fill the worksheets at home and send them to the teacher.

SYLLABUS/CONTENT

The concept of function as a key concept in mathematics.

"Empirical" data: tables of experimental data and cartesian graphs; tasks of reading and creating graphs; reliability of a graph obtained by interpolation or extrapolation as a model for a phoenomeno; cartesian plane, cartesiona and polar coordinates; different ways of representing functions (tables, graphs, algebraic formulas...).

The theory of conceptual fields by Vergnaud as a theoretical construct to frame the notion of "mathematical concept" and to link mathematical concpets and their didactical implementation.

All the aforementioned contents will be presented in relation to the current National Giudelines and to the related teaching and learning processes, with a special focus on linguistic and representational aspects.

RECOMMENDED READING/BIBLIOGRAPHY

urante le lezioni verranno forniti gratuitamente agli studenti i materiali di studio e di lavoro necessari per l'apprendimento; alla fine del periodo delle lezioni, per la preparazione della relazione di esame, saranno resi disponibili gli appunti delle lezioni.

Students will receive during the course worksheets and reading materials. At the end of the course, the notes of the lessons will be provided.

TEACHERS AND EXAM BOARD

Exam Board

PAOLO BOERO (President)

ROSSANA IADAROLA (President)

FRANCESCA MORSELLI (President)

ROSALIA ZUNINO (President)

LESSONS

Class schedule

MATHMATICS (MODULE II)

EXAMS

EXAM DESCRIPTION

Individual report on all the lessons and written examination.

For the non-participant students, additional questions will be inserted in the written exam.

ASSESSMENT METHODS

Written exam

Exam schedule