Principles of mathematics
(objectives)
Knowing Mathematics of primary schools within the framework of the current discipline, and along its historical development; being aware of the value, the need, and the nature of mathematical reasoning and of it symbolism.
Knowledge and understanding: - know the elementary mathematics of pre-primary and primary schools, making use of disciplinary, epistemological and historical elements, reflecting on primordial and basic mathematical concepts, on the nature of mathematical reasoning and its argumentative techniques, on the extension of the theoretical field of mathematics and mathematical symbolism; - integrate mathematics in the field of culture, as a gateway to scientific thought in its philosophical matrix and its links with techniques and arts. Ability to apply knowledge and understanding: - promote the ability to consider mathematical and scientific literacy in pre-primary and primary school from a superior point of view. Making judgements: - encourage the opening to renewal of teaching practices through the combination of historical, epistemological and didactic research on the basic concepts of mathematics. Communication skills: - develop a superior vision on mathematical language, on symbolism, on representation, on the network structure of mathematical concepts and on approaching reality by setting and solving problems. Learning skills: - promote skills and interest in the constant study and tireless updating in the field of elementary mathematics, history and the epistemology of mathematics, through books and articles, conferences, courses and conferences, with discernment and depth.
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Code
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22910727 |
Language
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ITA |
Type of certificate
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Profit certificate
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Credits
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2
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Scientific Disciplinary Sector Code
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MAT/02
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Contact Hours
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15
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Personal Study Hours
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-
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Type of Activity
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Core compulsory activities
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Credits
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3
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Scientific Disciplinary Sector Code
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MAT/03
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Contact Hours
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22,5
|
Personal Study Hours
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-
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Type of Activity
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Core compulsory activities
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Credits
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3
|
Scientific Disciplinary Sector Code
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MAT/04
|
Contact Hours
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22,5
|
Personal Study Hours
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-
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Type of Activity
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Core compulsory activities
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Credits
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2
|
Scientific Disciplinary Sector Code
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MAT/06
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Contact Hours
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15
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Personal Study Hours
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-
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Type of Activity
|
Core compulsory activities
|
|
Group: CANALE 1
Teacher
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CENTURIONI SANTE
(syllabus)
Mathematics Institutions Program
What is math. Mathematical thinking and its meaning Role of mathematics in the cognitive development of the child The mathematical language The number Natural numbers and numbering systems Number as an expression of quantity and order The oriented line Sets and operations between sets Set of natural numbers and their algebra Elementary arithmetic Set of rational numbers Set of real numbers The base 10 positional system. Numbering systems with a base other than 10 Geometric thought and its historical evolution Euclidean geometry, a good approximation of reality Pedagogical role of geometry in the child Intuitive approach to plane geometry elementary concepts Geometric quantities, concept of measurement Geometric figures and their properties Relation between geometry and algebra Geometry of the straight line of the plane and of space Applications of mathematics, models and predictions Concept of theorem as a frame of reference for mathematical thinking. The theorem of Pitagora How to set up an arithmetic lesson in a practical way How to set up a geometry lesson in a practical way Experience of play and work in kindergarten Algebra and geometry in primary school Understanding mathematics from experience Problem solving
Reference texts Pensare in matematica, G. Israel, A. M. Gasca, Zanichelli 2012 Elementi di Matematica, A. Gimigliano, L. Peggion, Utet 2018
(reference books)
Pensare in matematica, G. Israel, A. M. Gasca, Zanichelli 2012 Elementi di Matematica, A. Gimigliano, L. Peggion, Utet 2018
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Dates of beginning and end of teaching activities
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From 01/03/2023 to 24/05/2023 |
Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
A project evaluation
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Group: CANALE 2
Teacher
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FASCITIELLO ISABELLA
(syllabus)
1. Numerals and counting. Symbols: modern and ancient numbering systems 2. Integers numbers. Mental calculation and written algorithms. 3. Elementary arithmetic. 4. Ratios and proportions. The mathematical basis of measurement. 5. Elementary Euclidean geometry, geometric constructions and the Cartesian plane. 6. Isometries, symmetries and geometric transformations in the plane. 7. The number system in mathematics: rational numbers. 8. Proportionality and introduction to the concept of function. 9. Introduction to real numbers and the concept of continuum. 10. Didactic nodes of children's initiation into mathematics.
(reference books)
- GIORGIO ISRAEL, ANA MILLÁN GASCA, Pensare in matematica, Bologna, Zanichelli, 2012.
- ANA MILLÁN GASCA, All’inizio fu lo scriba. Piccola storia della matematica come strumento di conoscenza, Milano, Mimesis, 2009 (3° ristampa).
- GIULIO CAIATI, ANGELICA CASTELLANO, In equilibrio su una linea di numeri, Milano, Mimesis, 2007.
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Dates of beginning and end of teaching activities
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From 01/03/2023 to 24/05/2023 |
Delivery mode
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Traditional
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Attendance
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not mandatory
|
Evaluation methods
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Written test
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|
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