Mémoire de Maîtrise
DOI
10.11606/D.45.2018.tde-08042018-120458
Document
Auteur
Nom complet
Ronaldo Bezerra Nobre
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Paulo, 2017
Directeur
Jury
Druck, Iole de Freitas (Président)
Cerri, Cristina
Santos, Vinicio de Macedo
Titre en portugais
Sobre possibilidades de ensino e aprendizagem dos números irracionais no 8º ano do Ensino Fundamental
Mots-clés en portugais
Investigações matemáticas
Números irracionais no Ensino Fundamental II
Protagonismo dos estudantes
Resumé en portugais
Titre en anglais
Learning and teaching possibilities towards irrational numbers in the 8th grade of Elementary School
Mots-clés en anglais
Irrational numbers in Elementary Education II
Mathematical investigations
Student protagonism
Resumé en anglais
This dissertation presents a didactical work developed with 8th grade classes of Elementary School aiming a significant introduction to the irrational numbers in the sense that it confronts the conceptual difficulties related to the theme, as well the observation of the stimulating involvement of students in their learning process. In order to elaborate, apply and analyze the didactical activities, we considered as the main theoretical basis the doctoral thesis of Olga Corbo (CORBO,O., 2012) about the fundamental knowledge necessary for the exploration of irrational numbers in Basic Education and texts on mathematical investigations written by portuguese researchers and coordinated by João Pedro da Ponte (PONTE, JP, et al., 1998 and ABRANTES, P. et al., 1999). The activities were planned aiming to make the content approaches meaningful and accessible to the target age group. Eighth-grade students conducted researches and group presentations on the golden number and investigative activities to assess specific characteristics of rational and irrational numbers as: decimal representation, association to the measurement of straight segments, location in the numbered line, infinity, and density in this line. In 2017, new groups developed researches broadening the objectives to include the notion of commensurability of segments, in order to enable a debate in classroom about the demonstration of the incommensurability between the side and the diagonal of a square elaborated in ancient Greece. All of these steps contributed to the students understanding of the need for a multitude of new numbers besides rational ones.

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Date de Publication
2018-04-16

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