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A didactic engineering in the research process of the generalization of the Padovan sequence: an experience in a pre-service teacher training course

Vieira, Renata Passos Machado; Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado Cruz (2020). A didactic engineering in the research process of the generalization of the Padovan sequence: an experience in a pre-service teacher training course. Acta Scientiae. Revista de Ensino de Ciências e Matemática, 22(6), pp. 109-136 .

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URL Oficial: http://www.periodicos.ulbra.br/index.php/acta

Resumen

Background: Obstacles are found during the epistemological construction of mathematical concepts research, aiming to contribute to the Didactics of Mathematics through a study of Padovan sequence. Objectives: describe elements of a systematic study, based on Didactic Engineering in conjunction with the Theory of Didactic Situations. I addition, referring to the generalization model of Padovan sequence and promoting a historical-evolutionary understanding and its mathematical properties. Design: it presents the most representative data of an investigation supported by the foundations of Didactic Engineering research design, in association with the Theory of Didactic Situations teaching methodology. Setting and Participants: the research was developed in 2019 and applied in a Pre-Service Mathematics Teacher Training Course in the History of Mathematics discipline, with the eight students enrolled. Data collection and analysis: data validation occurred internally due to the short period of the research. Results: it describes an investigation around the object of study, the Padovan sequence, focusing on the generalization process of this sequence and its properties. Thus, three problem situations are elaborated and analyzed based on the assumed research and teaching methodologies, seeking to examine their properties and the student’s intuitive thinking, before the insertion of a historical-epistemological conception of this investigation. Conclusions: the research makes it possible to extract repercussions, suggest and promote research scripts aiming at the formation of teachers (initial) in the context of the teaching of History of Mathematics.

Tipo de Registro:Artículo
Términos clave:06. Aprendizaje > Procesos cognitivos > Modelización
12. Investigación e innovación en Educación Matemática > Marcos teóricos > Didáctica francesa
11. Educación Matemática y otras disciplinas > Historia de la Educación Matemática
05. Profesor > Formación de profesores > Inicial
11. Educación Matemática y otras disciplinas > Fundamentos de la Educación Matemática > Epistemología
10. Otras nociones de Educación Matemática > Fenomenología didáctica > Situaciones
Nivel Educativo:Título de grado universitario
Código ID:28654
Depositado Por:Monitor Funes 2
Depositado En:13 Jun 2022 16:42
Fecha de Modificación Más Reciente:13 Jun 2022 16:42
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