Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2022/2023
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3° Year activated in the A.Y. 2023/2024
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4° Year activated in the A.Y. 2024/2025
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English laboratory 4th year
5° Year It will be activated in the A.Y. 2025/2026
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English laboratory 4th year
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Foundations and Teaching of Mathematics II (2022/2023)
Teaching code
4S006147
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA MAT/03 - GEOMETRY
The teaching is organized as follows:
Lezione
Laboratorio [Gruppo 1]
Laboratorio [Gruppo 2]
Laboratorio [Gruppo 3]
Laboratorio [Gruppo 4]
Learning objectives
1. Knowledge and understanding
Pre-school. At the end of the course students will:
– know the basic principles of the axiomatic conception of geometry
– have acquired familiarity with the main geometric figures (triangles, quadrilaterals, regular polygons)
– know the abstract concept of measure, not linked with the choice of a unit of measure such as the meter
– know the basics about area and know how to apply them for proving results such as Pythagoras' theorem
– know how to handle simple graphs
– know the concept of algorithm and recursion
– have familiarity with the basic of probability and the main tools of statistics (mean, median, mode and variance)
Primary School.
At the end of the course students will:
– know the basic principles of the axiomatic conception of geometry
– have acquired familiarity with the main geometric figures (triangles, quadrilaterals, regular polygons)
– know the abstract concept of measure, not linked with the choice of a unit of measure such as the meter
– know the basics about area and know how to apply them for proving results such as Pythagoras' theorem
– know how to handle simple graphs
– know the concept of algorithm and recursion
– have familiarity with the basic of probability and the main tools of statistics (mean, median, mode and variance).
2. Applying knowledge and understanding
Pre-school. At the end of the course the future teachers will be able to propose to children learning paths in mathematics based upon modelization of natural behaviors (measure) or the heuristic exam of situations (probability) in order to start a reflection on the connection between counting and measuring.
Primary School. At the end of the course the future teachers will be able to propose to children learning paths in mathematics based upon modelization of natural behaviors (measure) or the heuristic exam of situations (probability) in order to make them more rigorous; the will also guide children to getting through preconceptions.
3. Making judgements
Pre-school. At the end of the course students will have acquired a critical and analytical attitude that makes them able to put into discussion beliefs and spontaneous ideas.
Primary School. At the end of the course students will have acquired a critical and analytical attitude that makes them able to put into discussion beliefs and spontaneous ideas.
4. Communication skills
Pre-school. At the end of the course students should be able to employ a language which is rigorous and suitable for mathematics.
Primary School. At the end of the course students should be able to employ a language which is rigorous and suitable for mathematics.
5. Learning skills
Pre-school. At the end of the course students will be able to find in autonomy teaching material which is suitable and useful for building learning paths in mathematics.
Primary School. At the end of the course students will be able to find in autonomy teaching material which is suitable and useful for building learning paths in mathematics.
Prerequisites and basic notions
Humanities high school mathematical material
Program
Shape and number.
Basic Euclidean geometry.
Lengths, areas and measure, Pythagoras' theorem and Pick's theorem.
Graphs.
Algorithms and recursion.
Elements of probability.
Elements of statistics.
Didactic methods
Classroom lectures
Learning assessment procedures
The exam consists in:
- solving exercise on the theoretical parts of the program;
- exposing a learning path on an assigned topic.
The exam is written.
Evaluation criteria
• Knowledge and understanding: understanding and knowledge of the presented theory.
• Applying knowledge and understanding: ability to apply the learned material to different situations.
• Making judgements: ability to synthesize from various sources.
• Communication skills: language clarity and appropriateness.
• Learning skills: ability to read texts chosen in autonomy.
Criteria for the composition of the final grade
Exercises: 22/30
Didactics: 10/30
Exam language
Italiano