Unit Principles of Mathematics
- Course
- Primary teacher education
- Study-unit Code
- A001982
- Curriculum
- In all curricula
- Teacher
- Danilo Costarelli
- Teachers
-
- Danilo Costarelli
- Hours
- 48 ore - Danilo Costarelli
- CFU
- 8
- Course Regulation
- Coorte 2021
- Offered
- 2021/22
- Learning activities
- Caratterizzante
- Area
- Discipline matematiche
- Academic discipline
- MAT/03
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Sets and Logic; The set of natural numbers and their properties; Ordinal and cardinal numbers; The four operations; The powers; the Radicals; Prime, integer and rational numbers; The proportions and percentages; Real numbers; The Cartesian plane and the three-dimensional space; Literal calculation: expressions and equations; Troubleshooting; Flowcharts; Relationships of order and equivalence; Functions; Linear functions; Arithmetic progressions; Overview of descriptive statistics.
- Reference texts
- 1. G. Caiati, A. Castellano, In equilibrio sulla linea dei numeri, ed. Mimesis Milano 2007.
2. H. Cooke, Primary Mathematics, Developing Subject Knowledge - Sage Publications Company - London, 2000. (in English)
3. S. Di Sieno, S. Levi, Aritmetica di base, Mcgraw-Hill ed., 2010.
4. G. Israel, A. M. Gasca, Pensare in matematica, Zanichelli, Bologna, 2012.
5. Notes written by the teacher - Educational objectives
- The student must acquire the basic Mathematical skills necessary for teaching the above subject in primary and childhood school.
- Prerequisites
- None
- Teaching methods
- Lectures and exercises.
- Learning verification modality
- Written test concerning the topics covered during the course. Optional oral exam.
- Extended program
- 1. Sets and Logic;
2. The concept of quantity;
3. The set of natural numbers and the `` line of numbers '';
4. Properties of the numbers, the preceding and the following of a number, the ordinal and cardinal numbers;
5. The 4 operations, their properties and their meaning;
6. Methods for the direct calculation of the 4 operations (column operations), the 9 test;
7. The powers and their properties;
8. Radicals (square roots and cubic roots);
9. First numbers and compound numbers, The sieve of Eratosthenes;
10. Dividers of a number, MCD, mcm;
11. integer numbers;
12. The set of rational numbers (classification of fractions, equivalent fractions, comparison between fractions);
13. integer and rational expressions;
14. The proportions and percentages;
15. Problems with fractions and percentages;
16. Decimal numbers;
17. Introduction to real numbers (numbers with commas and operations) and to the Cartesian plan;
18. Three-dimensional space;
19. Literal calculation, expressions;
20. First and fractional equations;
21. Problems to be solved with equations and schematized by flow charts;
22. Relationships (of equivalence and of order);
23. Functions (domain, range, inverse function and other fundamental properties, graph of a function);
24. Linear functions (lines) and application models;
25. Arithmetic progressions.
26. Descriptive statistics (representation of data through histograms, tables, pie charts, etc.).