Unit GEOMETRY
- Course
- Primary teacher education
- Study-unit Code
- A000641
- Curriculum
- In all curricula
- CFU
- 7
- Course Regulation
- Coorte 2020
- Offered
- 2023/24
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
GEOMETRY
| Code | A000643 |
|---|---|
| CFU | 6 |
| Teacher | Daniele Bartoli |
| Teachers |
|
| Hours |
|
| Learning activities | Caratterizzante |
| Area | Discipline matematiche |
| Academic discipline | MAT/03 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Hilbert's approach to Geometry. Resolution of basic exercises. |
| Reference texts | David Hilbert, Fondamenti della Geometria. Franco Angeli Editore. |
| Educational objectives | The course aims to provide an adequate theoretical background in geometry and also to solve basic exercises. |
| Prerequisites | Mastery of the basic tools of logic and mathematics including: - elementary algebraic calculation: powers, absolute value, polynomials, equations and inequalities of 1st and 2nd degree; - basic notions of set theory |
| Teaching methods | Face-to-faace lessons. |
| Other information | Contact directly the teacher for specific questions. |
| Learning verification modality | The verification method consists of an exam (written /oral) with a score of thirty and possible laude. The test consists of two parts: first the theoretical background is checked and further basic numerical exercises must be solved by the students. |
| Extended program | Axioms of Hilbertian geometry - axioms of connection -Ordering axioms - axioms of congruence - axiom of parallels - axioms of continuity Notes on non-contradictory and independence of axioms Congruence and similitude theorems Pascal's theorem Desargues theorem Equivalence of plane figures and area calculation Geometric constructions with ruler and compass Basics of solid geometry |
| Obiettivi Agenda 2030 per lo sviluppo sostenibile | 4 |
GEOMETRY LAB
| Code | A000642 |
|---|---|
| CFU | 1 |
| Teacher | Daniele Bartoli |
| Teachers |
|
| Hours |
|
| Learning activities | Caratterizzante |
| Area | Discipline matematiche |
| Academic discipline | MAT/03 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Mathematical Laboratory: from the theory to teaching activities |
| Reference texts | Montagnoli, Crespi, Dal Fabbro, Panzeri. Poligoni a tutto tondo. Scholé. |
| Educational objectives | To elaborate a didactic activity for teaching geometry. |
| Prerequisites | No |
| Teaching methods | The students are divided into groups to prepare the didactic activity. |
| Other information | For other information, please contact the professor directly. daniele.bartoli@unipg.it |
| Learning verification modality | The groups discuss their proposed activity. |
| Extended program | Basic definitions will be recalled. Notions for preparing the didactic activity. |
| Obiettivi Agenda 2030 per lo sviluppo sostenibile | 4 |