Comunication and Teaching of Mathematics
A.Y. 2020/2021
Learning objectives
The course aims to achive the basic concepts in elementary geometry from an advanced standpoint. The course aims to enable students to develop communication, reasoning and application skills to other disciplines and the real world. Students are involved in communication, problem- posing and problem- solving activities.
Expected learning outcomes
Students will be able to manipulate geometric figures and concepts and to explore their properties in a semi-autonomous way.
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Lesson period
First semester
The course will take place remotely, in synchronous and asynchronous mode.
Lessons in synchronous mode will use the Zoom platform.
The materials of the lessons in asynchronous mode will be published on the ARIEL platform.
Lessons in synchronous mode will use the Zoom platform.
The materials of the lessons in asynchronous mode will be published on the ARIEL platform.
Course syllabus
Contents
The language of mathematics: basics of logic and set theory.
The foundations of Geometry: Euclid's Elements, Books I-IV.
Ruler and compass constructions.
The real Cartesian plane.
Activities
Exploring shapes and their properties. Geogebra.
Geometrical reasoning to solve problems and find new relationships. Misunderstandings and difficulties.
What is wrong with this proof.
Communicating mathematical reasoning.
The language of mathematics: basics of logic and set theory.
The foundations of Geometry: Euclid's Elements, Books I-IV.
Ruler and compass constructions.
The real Cartesian plane.
Activities
Exploring shapes and their properties. Geogebra.
Geometrical reasoning to solve problems and find new relationships. Misunderstandings and difficulties.
What is wrong with this proof.
Communicating mathematical reasoning.
Prerequisites for admission
NONE
Teaching methods
Theoretical lessons and practical exercises.
Teaching methodology will include heuristic, synthetic, problem solving, laboratory and project methods.
Teaching methodology will include heuristic, synthetic, problem solving, laboratory and project methods.
Teaching Resources
Gli Elementi di Euclide, a cura di Frajese-Maccioni, UTET, Torino 1970.
Gario Paola, Appunti del Corso.
Videos and Power Point Presentations.
Gario Paola, Appunti del Corso.
Videos and Power Point Presentations.
Assessment methods and Criteria
The final exam consists in an oral exam dealing with the mainly theoretic contents and in a presentation of a didactict project.
Evaluation of language skills in mathematics.
Evaluation of Mathematical skills: reasoning (deductive and inductive reasoning) and critical thinking skills; active learning skills: the ability to choose the right mathematical methods in problem-solving and decision-making.
Evaluation of language skills in mathematics.
Evaluation of Mathematical skills: reasoning (deductive and inductive reasoning) and critical thinking skills; active learning skills: the ability to choose the right mathematical methods in problem-solving and decision-making.
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Practicals with elements of theory: 24 hours
Lessons: 24 hours
Lessons: 24 hours
Professor:
Gario Paola