OVERVIEW

The course is aimed at: revising basic arithmetics and geometry contents to be taught; developing didactical competences in mathematics teaching; developing competences in planning, implementing, critically revising teaching sequences and carrying out efficient assessment strategies.

AIMS AND CONTENT

LEARNING OUTCOMES

The aims of this part of the course are: A. to revise and further develop the theme of rational numbers (fractions, decimal representation, representation on the number line); B. to revise basic geometry notions (length and surface measurements; elementary plane and space geometry concepts). Both subjects will be treated with reference to teaching in grades K to 5.

AIMS AND LEARNING OUTCOMES

The course is aimed at:

1) revising basic arithmetics to be taught in grades K-5; more specifically, the following themes will be addressed: additive and multiplicative structures; algorithms for subtraction and division.

2) developing didactical competences in mathematics teaching (being aware of didatical issues connected with the mathematical content; being able to perform a priori analysis of the tasks)

3) developing competences in planning, implementing, critically revising teaching sequences and carrying out efficient assessment strategies.

TEACHING METHODS

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

Participant students are expected to attend to minimum 2/3 of the lessons, fill out the worksheet and do some homeworks.

Non participant students are expected to fill the worksheets at home.

SYLLABUS/CONTENT

Additive and subtractive structures; proto-conceptualization of the operations (for kindergarten); conceptual aspects arithmetic operations and calculation techniques, in relation to solving problems (for primary school).

The aforementioned contents will be treated in reference to current National Guidelines and to the related teaching and learning problems, with a special focus on linguistic and representational aspects.

RECOMMENDED READING/BIBLIOGRAPHY

Worksheets and reading materials will be provided during the course on aulaweb.

Recommended reading:

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

TEACHERS AND EXAM BOARD

Exam Board

FRANCESCA MORSELLI (President)

ELDA GUALA (President Substitute)

LESSONS

LESSONS START

22 september, According to the academic calendar.

Class schedule

MATHEMATICS (MODULE I)

EXAMS

EXAM DESCRIPTION

Individual report on the course + written exam. The written exam will consist of open-ended quesiton concerning mathematical aspects and didatical ones (e.g. analysis of an INVALSI item; analysis of an excerpt from a textbook; designing a task to address a mathematical topic).

ASSESSMENT METHODS

Written exam (open ended questions)

Exam schedule

FURTHER INFORMATION

Students with DSA, disability or other special educational needs are recommended to contact the professor at the beginning of the course to agree on teaching and exam methods which, according to the course’s objectives, take into account the modalities individual learning and provide suitable compensatory tools.

For international students, texts and articles in English are available on request. The exam can be taken in English in the prescribed manner