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First Semester 
Teaching style
Lingua Insegnamento

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[30/46]  PRIMARY TEACHER EDUCATION [46/00 - Ord. 2011]  PERCORSO COMUNE 10 80


Knowledge and understanding: Students will be required to master the main notions of mathematics education and be acquainted with the main applications of maths to everyday life.
Applying knowledge and understanding: Students will be required to possess the skill to use active learning methods as applied to K-5 classes.
Making judgements. Students must acquire an autonomous and critical reflection on the course’s issues.
Communication skills. At the end of the course, students will be able to communicate information regarding the educational situations and the possible/feasible interventions.
Learning skills. Finally, students must acquire teamwork abilities for the implementation of group projects


Students are recommended to take the "Fondamenti di matematica" ("Basic Maths") course before this one.


The course is divided into 3 teaching modules. The third module is a hands-on module.

First module (30 hours, Francesco Paoli)
METHODS AND CONCEPTS. What is maths education? Constructivism and problem-based learning. Maths activites in kindergarten. Discovery learning in primary school.
THE CURRICULUM. Number sense. The four operations. Basic arithmetic facts. Place value. Multidigit arithmetic. Fractions and decimal numbers. Geometry and measurement. Pre-algebra. Probability and statistics.

Second module (30 hours, Hector Freytes)
Maths and nature. Maths in art. Maths as applied to physics. Relevant examples of maths workshops.

Workshop (20 hours, Francesco Paoli, Alessandra Massa, Monica Muscas)
Examples of mathematics workshop at the K-5 level

Teaching Methods

For each of the first two modules, taught classes will coexist with practical workshops. The workshop module, whose attendance is mandatory, will consist in groupwork, hands-on activities.

Verification of learning

First module: Optional open-question in-class test; viva voce. Students who pass the in-class test are exempted from the final viva, unless they want to improve their marks.
Second module: Mandatory open-question in-class tests; report on a group work; written resit for students who fail the previous test.
Workshop. Oral report on activities shown during the sessions.
Students will be required to demonstrate their mastering of the main notions of mathematics education, their acquaintance with the main applications of maths to everyday life, and the skill to use workshop methods as applied to K-5 classes.
The final mark will be given as a result of a comprehensive assessment of all the available material concerning each student: written and oral examination marks, workshop attendance, groupwork reports, active participation in classes, observation in workshops.


F. Paoli, Didattica della matematica: dai tre agli undici anni, Carocci, Roma, 2014 (the exact sections of this text that must be studied will be communicated during classes and made public on the web in the section “Materiali didattici” of prof. Paoli).
Students who prefer to learn material in English can replace this textbook with J.A. Van de Walle et al., Elementary and Middle School Mathematics: Teaching Developmentally, Pearson, Harlow, 2020.
“A conversation with John Van de Walle”, downloadable from

More Information

Classnotes and slides available in the section “Materiali didattici” of the instructors' websites. Office hours: see the instructors' websites.
Students with special needs may benefit from a Disability Office ( that certifies their difficulties in order to customise syllabi and exams.

Questionnaire and social

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