Geometry in Natural and Anthropic Environments and Its Teaching
A.Y. 2020/2021
Learning objectives
This class will deal with some basic questions on the learning and teaching of middle school mathematics.
The focus will be on some specific topics, the goal being the production of teaching items.
The focus will be on some specific topics, the goal being the production of teaching items.
Expected learning outcomes
Basic elements of methodologies and technologies for the teaching of geometry useful for the exercise of the teaching profession.
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
non attivo (attivo nel 2021-22)
Lesson period
Second semester
As this course is not activated this year, the field will be filled in next year
Course syllabus
A Geometry
Plan isometries (definitions, examples, classification)
Other plan transformations (overviews)
Space isometries (nods)
Curves in plane and space (examples of significant curves found in natural environments)
Space geometry (basic concepts, definitions, justification of some formulas)
Mathematics laboratory (dynamic geometry software, construction of physical models, visit to the exhibition "Symmetry, Mirror Games" at the Department of Mathematics, educational output research geometries in anthropogenic environment)
B Interdisciplinary laboratory
Laboratory teaching and field experience as a methodology for learning.
Educational output and experimentation of educational-disclosure activities in the museum context.
Construction of interactive interdisciplinary paths for secondary school and general public.
Main contents: phyllots, flower charts, number sequences, isometries in nature.
Plan isometries (definitions, examples, classification)
Other plan transformations (overviews)
Space isometries (nods)
Curves in plane and space (examples of significant curves found in natural environments)
Space geometry (basic concepts, definitions, justification of some formulas)
Mathematics laboratory (dynamic geometry software, construction of physical models, visit to the exhibition "Symmetry, Mirror Games" at the Department of Mathematics, educational output research geometries in anthropogenic environment)
B Interdisciplinary laboratory
Laboratory teaching and field experience as a methodology for learning.
Educational output and experimentation of educational-disclosure activities in the museum context.
Construction of interactive interdisciplinary paths for secondary school and general public.
Main contents: phyllots, flower charts, number sequences, isometries in nature.
Prerequisites for admission
None
Teaching methods
Frontal lessons, practical exercises, laboratory activities of various kinds.
Highly recommended frequency.
Highly recommended frequency.
Teaching Resources
Indicated and/or provided during the course
Assessment methods and Criteria
Written and oral.
The writing consists of a final test for Part A; writing an educational project for Part B.
The oral consists of a brief discussion on the theoretical contents of Part A and the discussion of the report presented for Part B.
The writing consists of a final test for Part A; writing an educational project for Part B.
The oral consists of a brief discussion on the theoretical contents of Part A and the discussion of the report presented for Part B.
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
Lessons: 48 hours