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tfg_company_ferrer_miquel.pdf (3.57 MB)

Document type

Bachelor thesis

Publication date

2024-01-17

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cc-by-nc-nd (c) Miquel Company Ferrer, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/210807

Didàctica de superfícies planes en taxigeometria

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Abstract

[en] In this work, we study some 2D surfaces in a non-Euclidean geometry: taxicab geometry, whose metric is defined by the norm l1 . To be more specifically, we discuss how some of the definitions used in Euclidean geometry apply when converted into taxicab geometry. In this way, we consider triangles with its centroid, circumcenter and incenter and its area. We also discuss the circumference, the ellipse, the hyperbola and the parabola and we introduce some results related to regular polygons. Finally, all this knowledge is used to design a didactic plan in order to bring it closer to high school students, with the aim to let them discover some mathematics different from what is usually taught at class and to work on their investigation skills and mathematimal thinking by learning about this geometry.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Jordi Font Gonzàlez

Subject

Geometria no euclidiana, Estratègies d'aprenentatge, Didàctica de la matemàtica, Batxillerat, Treballs de fi de grau

Subject (English)

Non-Euclidean geometry, Learning strategies, Mathematics teaching methods, Baccalaureate (Secondary school educational programme), Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

COMPANY FERRER, Miquel. Didàctica de superfícies planes en taxigeometria. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/210807

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