Comunication and Teaching of Mathematics
A.Y. 2018/2019
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
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; 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; Geometrical reasoning to solve problems and find new relationships; Misunderstandings and difficulties; What is wrong with this proof?; Communicating mathematical reasoning.
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