Geometry in Natural and Anthropic Environments and Its Teaching
A.Y. 2023/2024
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 can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
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.
Mandatory attendance for interdisciplinary lab hours.
Highly recommended frequency.
Mandatory attendance for interdisciplinary lab hours.
Teaching Resources
Sulla piattaforma Ariel saranno resi disponibili le slides del corso in formato PDF e altro materiale impiegato durante le attività in classe e in Orto Botanico. In aggiunta al materiale condiviso, lo studente può approfondire personalmente alcuni argomenti affrontati durante il corso facendo riferimento ai seguenti testi consigliati:
AA.VV., 2001. Il ritmo delle forme. Ed. Mimesis.
Bell A. D., 1993. La forma delle piante. Guida illustrata alla morfologia delle angiosperme. Zanichelli.
Castelnuovo E., 2017. Didattica della matematica.UTET Università.
Castelnuovo E., 2017. Pentole, ombre, formiche. In viaggio con la matematica. UTET Università.
Dedò M., 2010. Galleria di metamorfosi. Milano. Ed. Mimesis.
Frigerio E., Spreafico M.L.S., 2018. Ed ora, origami. 18 laboratori di matematica con l'origami. Kangourou Italia.
Ronse De Craene L.P., 2010. Floral Diagrams: An Aid to Understanding Flower Morphology and Evolution. Cambridge: Cambridge University Press, ISBN 978-0-521-72945-1.
AA.VV., 2001. Il ritmo delle forme. Ed. Mimesis.
Bell A. D., 1993. La forma delle piante. Guida illustrata alla morfologia delle angiosperme. Zanichelli.
Castelnuovo E., 2017. Didattica della matematica.UTET Università.
Castelnuovo E., 2017. Pentole, ombre, formiche. In viaggio con la matematica. UTET Università.
Dedò M., 2010. Galleria di metamorfosi. Milano. Ed. Mimesis.
Frigerio E., Spreafico M.L.S., 2018. Ed ora, origami. 18 laboratori di matematica con l'origami. Kangourou Italia.
Ronse De Craene L.P., 2010. Floral Diagrams: An Aid to Understanding Flower Morphology and Evolution. Cambridge: Cambridge University Press, ISBN 978-0-521-72945-1.
Assessment methods and Criteria
Written and oral.
The writing consists of a final test for Part A; writing an educational project for the secondary school, in accordance with the scheme proposed at the end of the course by the Professor, for Part B. The drafting of the educational project, should lead to an original insight on a topic approved by the Professor within the given time frame.
The oral consists of a brief discussion on the theoretical contents of Part A and the discussion of the report presented for Part B, with a presentation in slide-show format (lasting 15-20 minutes).
Evaluation criteria for part B: the educational project will be evaluated on the basis of the understanding and correct exposition of the contents exposed in class, clarity and property of language, personal elaboration of the contents, originality of the project, in-depth analysis taken from the bibliography used in class.
Type of evaluation: grade in thirtieths.
The writing consists of a final test for Part A; writing an educational project for the secondary school, in accordance with the scheme proposed at the end of the course by the Professor, for Part B. The drafting of the educational project, should lead to an original insight on a topic approved by the Professor within the given time frame.
The oral consists of a brief discussion on the theoretical contents of Part A and the discussion of the report presented for Part B, with a presentation in slide-show format (lasting 15-20 minutes).
Evaluation criteria for part B: the educational project will be evaluated on the basis of the understanding and correct exposition of the contents exposed in class, clarity and property of language, personal elaboration of the contents, originality of the project, in-depth analysis taken from the bibliography used in class.
Type of evaluation: grade in thirtieths.
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
Practicals: 16 hours
Practicals with elements of theory: 24 hours
Lessons: 18 hours
Practicals with elements of theory: 24 hours
Lessons: 18 hours
Professors:
Angelucci Giovanna, Spreafico Maria Luisa Sonia
Educational website(s)
Professor(s)