The course aims to provide students with the basics of Mathematics with some references to related educational items, essential requirements for facing teaching in primary school and kindergarten.
1. Acquiring basic mathematics knowledge for teaching in kindergarten and primary school
2. Acquiring didactic knowledge and competences in mathematics education.
3. Acquiring competences in developing practical activities and critical reflections in mathematics education, as well as in carrying out evaluation strategies.
TRAINING OBJECTIVES
Consolidate and acquire basic mathematical knowledge and skills on disciplinary content, which will take up some of the National Guidelines (MIUR, 2012) for primary and childhood schools, in particular "numbers" with attention to exploring, conjecturing and argumenting. In particular, attention will be paid to:
Meaning of the number Genesis of the number Development of counting and calculation skills Natural numbers and their representation in the decimal-positional system, decimal numbers Natural numbers and properties of arithmetic operations
EXPECTED RESULTS
Knowledge and understanding
Acquiring critical knowledge of the theoretical foundations and languages of mathematics.
Teaching knowledge related to mathematics in nursery and primary schools, with attention to interdisciplinary links.
Ability to apply knowledge and understanding
Design learning paths in mathematics.
Reading articles on dissemination and research in mathematics education, demonstrating the ability to understand, evaluate and use the results of empirical studies in order to build knowledge and improve interventions.
Working in a group for the design, organization and verification of educational and didactic interventions.
Communication skills
Knowing how to adequately use the main representations typical of mathematics (different number writing, algebraic register, graph, tables) and knowing how to express a mathematical argument in a clear and complete manner.
Learning ability
Knowing how to recognize mathematical and didactic models addressed in the course in new contexts and knowing how to apply them adequately.
Lessons, carried out as lectures or in laboratory modality.
Students will produce (in groups, in rotation) detailed notes about classroom activities, which - reviewed by the teacher - will be the reference for the students' subsequent work and for the preparation for the final evaluation.
Frequency not less than 2/3 of the course.
Non-attending students are required to prepare a final report about a topic to be agreed with the teacher.
- Numbers: concept of number and its different aspects; counting process; natural numbers: operations, meanings and properties; number line; prime numbers, integers, decimal numbers
- Ratio and functions: modeling; representation registers; direct and inverse proportionality; the Cartesian graph as a modeling tool
- Examples of the concepts addressed with the description of educational activities
Slides and notes prepared by the teacher (uploaded in the AulaWeb space during the course).
Sabena, Martignone, Ferri, Robotti, (2019). Insegnare e apprendere matematica nella scuola dell'infanzia e primaria. Modandori Università
Bartolini Bussi (2008). Matematica. I numeri e lo spazio. Juvenilia.
Donaldson, M. (2009). Come ragionano i bambini. Springer Verlag.
Zan, R. (2007). Difficoltà in matematica. Osservare, interpretare, intervenire. Springer Verlag.
U.M.I. Matematica 2001- Materiali per un muovo curricolo di matematica con suggerimenti per attività e prove di verifica: http://umi.dm.unibo.it/old/italiano/Matematica2001/matematica2001.html
INDIRE - Risorse per docenti dai progetti nazionali: Il progetto M@t.abel: http://www.scuolavalore.indire.it/?s=search&keyword=&taxo[0][name]=ordine_di_scuole&taxo[0][term]=primaria&taxo[1][name]=discipline&taxo[1][term]=matematica
ELISABETTA ROBOTTI (President)
ROSALIA ZUNINO (President)
MATHMATICS (MODULE I)
