Argumentação e prova no ensino fundamental: análise de uma coleção didática de matemática

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

This dissertation aims to analyze how the collection Mathematics and Reality approaches argumentation and proof when it refers to the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras. Its inserted in the Project AProvaME (Argumentation and Proof in School Mathematics) that proposes the investigation of conceptions of argumentation and proof in the teaching of mathematics in schools in the state of São Paulo and to form a group of researchers to elaborate situations of learning involving arguments and proof to be investigated in the classroom. The analysis of the collection, in our research, is based on the work done by BALACHEFF et. al. (2001) which presents possible activities that may involve argumentation and proof classifying them into various types and levels. We have used this classification, when it refers to the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras, to consider the theoretical text and the respective exercises presented in the collection that are related to argumentation and proof. We have noticed that the proposed activities may basically be classified as "tasks of initiation to proof." We conclude, in our analysis, that the collection is not designed to work with argumentation and proof to develop such skills in students when presenting the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras, and also when proposing its activities. We propose, at the end of our work, dynamic activities that may complement those that are present in the collection, aiming to help in the development of new approaches on argumentation and proof in the classroom

ASSUNTO(S)

teorema fundamental da aritmética technology in mathematics education argumentação e prova livros didaticos teorema de pitágoras matematica (elementar) tecnologia na educação matemática argumentation and proof theorem of pythagoras matematica -- estudo e ensino matematica fundamental theorem of arithmetic

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