Thabit ibn Qurra (836-901) e a generalização do Teorema de Pitágoras: aliando História, tecnologia e investigação no ensino de matemática
This research focuses on the area of History of Mathematics, more precisely on Medieval Islamic Mathematics, and on the support that Digital Technologies of Information and Communication can provide to the understanding of this History, via Mathematical Investigation in favor of Mathematics teach...
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| Formato: | Dissertação |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/47551 |
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| Resumo: | This research focuses on the area of History of Mathematics, more precisely on Medieval
Islamic Mathematics, and on the support that Digital Technologies of Information and
Communication can provide to the understanding of this History, via Mathematical
Investigation in favor of Mathematics teaching. This work is justified due to the Islamic
contribution to the understanding of the paths taken by Mathematics, as well as its
influence on the development of Western Mathematics. Thus, this work aims to promote
reflections on the teaching of mathematics from a historical text and its author in a
proposed alliance between History of Mathematics, Digital Technologies of Information
and Communication and Mathematical Investigation. To this end, we followed the
assumptions of qualitative research of the bibliographical type, in the first phase, in which
the analysis of the document object of study was made in order to elaborate an educational
product applied in the second phase of the research with elements of action research. For
the construction of this proposal, the object of investigation is the Islamic scholar of the
9th century Thabit ibn Qurra and his scientific production, besides the visualization of the
whole context that emerges from the analyzed document of Thabit, in which he presents
an answer, in the form of a letter to a friend who was dissatisfied with the Pythagorean
Theorem applied only to isosceles right triangles, called in the letter as Socratic proof, in
this direction Thabit presents and enunciates rhetorically the Generalization of the
Pythagorean Theorem applied to any triangles. Given these data, we produced a
historiographical investigation that culminates in the construction of an Educational
Product, with the objective of making this alliance between History of Mathematics and
Digital Technologies effective, applied in an extension course, open to undergraduate
students of Mathematics and Mathematics Teachers. |
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