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 and geometry contents to be taught in grades K-5; more specifically, the following themes will be addressed: rational numbers and their representations; heights of a triangle; parallelism in plane; definitions in geometry.

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. They are also required to write down, in groups, the notes of the lessons.

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

SYLLABUS/CONTENT

The concept of rational number and its representations.

The concept of parallelism in plane; areas; theoretical figures and drawings; heights of a triangle; definitions in geometry.

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

RECOMMENDED READING/BIBLIOGRAPHY

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

A revised version of the notes of the lessons will be provided 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)

ELISABETTA ROBOTTI (President)

LESSONS

Class schedule

MATHEMATICS (MODULE I)

EXAMS

EXAM DESCRIPTION

Participant students: Individual report on the course + written exam. The written exam will consist of open-ended quesiton concerning mathematical aspects (e.g. representing a rational number on the number line) 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).

Non participant students will receive additional questions in the written exam.

ASSESSMENT METHODS

Written exam (open ended questions)

Exam schedule