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http://hdl.handle.net/2445/185569
Title: | L’agulla de Buffon i les seves aplicacions didàctiques |
Author: | Merlos Ordoñez, Marc |
Director/Tutor: | Font Gonzàlez, Jordi |
Keywords: | Didàctica de la matemàtica Treballs de fi de grau Geometria Probabilitats Batxillerat Mathematics teaching methods Bachelor's theses Geometry Probabilities Baccalaureate (Secondary school educational programme) |
Issue Date: | 20-Jun-2021 |
Abstract: | [en] In this Project we study Buffon’s needle problem and its generalizations. We begin with a short introduction about the evolution of first games of chance until geometric probability problems. After including previous concepts, we work, following Santaló’s work, the Buffon’s needle problem and Buffon-Laplace’s needle problem. Then, we suggest generalizations with the same areas but with the long needle. The number of dimensions is also increased and the probability of the short needle is computed for orthoedra. Finally, we propose a didactic activity directed to students who are 17 years old, whose main problem is short needle for a rectangular tessellation. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Jordi Font Gonzàlez |
URI: | http://hdl.handle.net/2445/185569 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_merlos_ordoñez_marc.pdf | Memòria | 66.42 MB | Adobe PDF | View/Open |
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