Banca de DEFESA: KALINE ANDREZA DE FRANCA CORREIA ANDRADE

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : KALINE ANDREZA DE FRANCA CORREIA ANDRADE
DATE: 21/07/2022
TIME: 14:00
LOCAL: Remoto
TITLE:

A STUDY ON AL-RISĀLA AL-MUHĪTĪYYA (1424) BY AL- KĀSHĪ AND ITS PEDAGOGIC POTENTIAL

KEY WORDS:

History of Mathematics; Medieval Islamic Mathematics; Theory of Objectification.

PAGES: 111
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

Our thesis consists of a qualitative documentary and bibliographic research that makes a historical and mathematical study of the Treaty of the Circumference (al-Risāla al-Muhītīyya) written by the Islamic scholar al-Kāshī in the year 1424 in Samarkanda in Uzbekistan. This treaty consists of the search for a better approximation for the relationship between the circumference of the circumference and its diameter, taking as a comparison the existing approximations until then. The result obtained by al-Kāshī for the relationship sought was a value with a precision of sixteen decimal places, this was obtained by an iterative method of rapid convergence. Our thesis aimed to highlight elements of the Treaty of Circumference that presented pedagogical
potential for use in the classroom. To achieve our objective, we rely on concepts from the Theory of Objectification (TO), developed by Luis Radford and on this author's conceptions about the articulation between the history of mathematics and mathematics teaching. We also used the methodology of Analysis of Historical Texts of Mathematics (ATHM) developed by Fumikazu Saito and collaborators. The base text for our studies was the Russian translation of the Treaty of the Circumference from which we created a working version in Portuguese. Through the historical and mathematical study, we made an exposition of the external characteristics of the work such as the existence or not of manuscripts and translations, historiographical and contextual aspects. We selected thirteen excerpts from the text and from their analysis we were able to discuss historical, epistemological, mathematical and axiological issues found in the text. One of the results obtained was the observation that the knowledge incorporated by the Treaty of the Circumference of al-Kāshī and its
context have pedagogical potentialities that can be used in the classroom aligned with both pedagogical issues that favor a broader training of teachers, as well as the teaching mathematics, exemplified through the elaboration of two activities according to the Theory of Objectification.

COMMITTEE MEMBERS:
Externa à Instituição - ANA CAROLINA COSTA PEREIRA - UECE
Presidente - 1169920 - BERNADETE BARBOSA MOREY
Externo à Instituição - FRANCISCO DE ASSIS BANDEIRA
Externo ao Programa - 346565 - JOHN ANDREW FOSSA - nullExterno à Instituição - SEVERINO CARLOS GOMES - IFRN