Teaching Mathematics and Algorithmics with Recreational Problems: The Liber Abaci of Fibonacci - Archive ouverte HAL
Chapitre D'ouvrage Année : 2019

Teaching Mathematics and Algorithmics with Recreational Problems: The Liber Abaci of Fibonacci

Enseigner les mathématiques et l'algorithmique à l'aide de problèmes récréatifs : Le Liber Abaci de Fibonacci

Résumé

I propose an empirical study on theintroduction of an historical perspective onmathematics education at different levels in the French secondary school curriculum (11-18 years old). First of all, I present, in the historical contexts of the twelfth and thirteenth centuries, elements of the biography of Leonardo da Pisa, better known as Fibonacci, and of his mathematical work. I pay close attention to the mathematics of the Islamic countries that had largely fed his thinking. I dedicate an important part of our contribution to excerpts from theLiber Abaci to understandbetterhow his work might contribute to today's classroom. All selected extracts belong to the category of so-called 'recreational' problems. They were chosen for their algorithmic structure that allows us to work with pupils on, among other themes, algebra and algorithmics (including coding). Finally, I give details of mathematical and historical extensions.
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Dates et versions

hal-02343435 , version 1 (02-11-2019)

Identifiants

  • HAL Id : hal-02343435 , version 1

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Marc Moyon. Teaching Mathematics and Algorithmics with Recreational Problems: The Liber Abaci of Fibonacci. Évelyne Barbin; Uffe T. Jankvist; Tinne H. Kjeldsen; Bjorn Smestad; Costas Tzanakis. (Eds.), Proceedings of the Eighth European Summer University on History and Epistemology in mathematics Education (ESU-8) (Skriftserie 2019, nr 11)., Oslo Metropolitan University, pp.417-436, 2019, 978-82-8364-211-7. ⟨hal-02343435⟩
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