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 course aims at: 1) Revising mathematical knowledge concerning arothmetics (operations), probability and statistics 2) Promoting the development of didactical competences concerning the teaching and learning of mathematics 3) Promoting the development of didactical competences concerning the design, implementation, analysis and assessment of teaching sequences. More specifically, the course will address: proto-conceptualization of operations (in kindergarten); problems in the conceptual fields of additive and multiplicative structures; algorithms for subtraction and division; approach to probabilistic thinking; classical and frequentist definition of probability

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.

Non participant students are expected to fill the worksheets.

In case of distance-teaching, lessons will be held on TEAMS and students will be asked to upload their 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

ELDA GUALA (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

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