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Title: Aplicacions didàctiques del problema de la il·luminació
Author: Arrebola Oya, Paula
Director/Tutor: Font Gonzàlez, Jordi
Keywords: Òptica geomètrica
Treballs de fi de grau
El·lipse (Matemàtica)
Seccions còniques
Didàctica de la matemàtica
Educació secundària obligatòria
Geometrical optics
Bachelor's thesis
Conic sections
Mathematics teaching methods
Secondary education
Issue Date: 27-Jun-2018
Abstract: [en] The Illumination Problem asks whether every region is illuminable from every point in the region and whether every region is illuminable from at least one point in the region. We will analise this problem and the proposed solutions. We will focuse on Roger Penrose’s solution, which uses the properties of the choniques. We will also study the physics needed to understand the situation and its limitations in the real world. We will develope a series of activities, set on this context, suitable for Secondary level, which allow to work units from the inforce Catalonia’s Curriculum and, simultaneously, show the lively nature of mathematics. This problem, which has progressed in the last few years, is capable of opening the door of creativity, curiosity, simulation, experimentation and emotion to the students.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Jordi Font Gonzàlez
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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