Comunication and Teaching of Mathematics
A.Y. 2022/2023
Learning objectives
The course aims to address the foundations of mathematics in a thorough and critical manner, the implicit theories of intelligence and those of learning. The course aims to improve communication skills, to develop mathematical thinking, the ability to apply mathematics to other disciplines, to civic education, to the real world and to the development of the whole person according to modern research in pedagogy, neuroscience and cognitive development. The student will be involved in various activities, in particular communication and simulation activities in the educational context.
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: Second 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
Second semester
Course syllabus
Contents
Mathematical thinking and strategies for teaching mathematical thinking
The founding nucleus of mathematics (analysed in depth)
Euclidean and non-Euclidean geometry
Demonstration
Sets in general and numerical sets
The Cartesian plane
Relations
The problem
Mathematics, civics and other disciplines
Carol Dweck's thinking.
Feuerstein's thinking.
Daniel Kahneman's thinking.
Assessment as a teaching tool
Activities
Simulating the training context and effective communication situations
Working on error
Curriculum and mathematical skills
Constructing UDAs
Misconceptions and difficulties
Working on stereotypes and prejudices
Reflecting on the contribution of STEM disciplines to students' cultural development.
Communicating reasoning in mathematics.
Mathematical thinking and strategies for teaching mathematical thinking
The founding nucleus of mathematics (analysed in depth)
Euclidean and non-Euclidean geometry
Demonstration
Sets in general and numerical sets
The Cartesian plane
Relations
The problem
Mathematics, civics and other disciplines
Carol Dweck's thinking.
Feuerstein's thinking.
Daniel Kahneman's thinking.
Assessment as a teaching tool
Activities
Simulating the training context and effective communication situations
Working on error
Curriculum and mathematical skills
Constructing UDAs
Misconceptions and difficulties
Working on stereotypes and prejudices
Reflecting on the contribution of STEM disciplines to students' cultural development.
Communicating reasoning in mathematics.
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:
Carimali Lorella