OVERVIEW

The course is aimed at: revising basic contents in arithmetics, probability and statistics; developing didactical competences in mathematics teaching; developing competences in planning, implementing and critically analysing teaching units and carrying our efficient assessment strategies.

AIMS AND CONTENT

LEARNING OUTCOMES

The aims of this part of the course are: A. to revise and further develop - according to educational aims related to teaching in grades K to 5 – the theme of arithmetic operations (particularly subtraction and division); B. to introduce basic statistics and probability notions, according to educational aims related to the approach to statistical and probabilistic thinking 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: additive and multiplicative structures; algorithms for subtraction and division; classic and frequentist probability.

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 worksheets and class discussions).

Participant students are expected to fill the worksheets and do some homeworks. They will also be asked to write down, in groups, the nots of the lessons.

Non participant students are expected to fill the worksheets.

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).

Basic elements of probability.

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.

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 Substitute)

LESSONS

Class schedule

MATHEMATICS (MODULE II)

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. classical probability) 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