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tfg_merlos_ordoñez_marc.pdf (64.86 MB)

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Bachelor thesis

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2021-06-20

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cc-by-nc-nd (c) Marc Merlos Ordoñez, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/185569

L’agulla de Buffon i les seves aplicacions didàctiques

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Jordi Font Gonzàlez

Subject

Didàctica de la matemàtica, Treballs de fi de grau, Geometria, Probabilitats, Batxillerat

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Mathematics teaching methods, Bachelor's theses, Geometry, Probabilities, Baccalaureate (Secondary school educational programme)

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

MERLOS ORDOÑEZ, Marc. L’agulla de Buffon i les seves aplicacions didàctiques. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/185569

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