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  • 标题:As Relações entre Área e Perímetro na Geometria Plana: o papel dos observáveis e das regulações na construção da explicação
  • 本地全文:下载
  • 作者:João Alberto da Silva
  • 期刊名称:Bolema: Mathematics Education Bulletin = Bolema: Boletim de Educação Matemática
  • 印刷版ISSN:1980-4415
  • 出版年度:2009
  • 卷号:22
  • 期号:34
  • 页码:81-104
  • 语种:Portuguese
  • 出版社:UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
  • 摘要:The teaching of plane geometry in elementary school is often lacking in meaning. Teachers choose teaching practices based on algorithms, without concern for the thinking processes involved in the construction of geometric thinking. This study is based on Genetic Epistemology to investigate how adolescents and adults who attended school, and were successful in learning geometry, construct explanations about problems involving the calculation of the area and the perimeter of plane figures. The data show that the interviewees are capable of doing the calculation with the algorithm, but very few show elaborated explanations. The explanatory models are the most varied, ranging from thinking based solely on perception to logical-mathematical explanations of the concepts involved. Keywords: Teaching of Geometry. Explanatory Models. Jean Piaget. Genetic Epistemology.
  • 其他摘要:The teaching of plane geometry in elementary school is often lacking in meaning. Teachers choose teaching practices based on algorithms, without concern for the thinking processes involved in the construction of geometric thinking. This study is based on Genetic Epistemology to investigate how adolescents and adults who attended school, and were successful in learning geometry, construct explanations about problems involving the calculation of the area and the perimeter of plane figures. The data show that the interviewees are capable of doing the calculation with the algorithm, but very few show elaborated explanations. The explanatory models are the most varied, ranging from thinking based solely on perception to logical-mathematical explanations of the concepts involved. Keywords: Teaching of Geometry. Explanatory Models. Jean Piaget. Genetic Epistemology.
  • 关键词:Ensino de Geometria. Modelos Explicativos. Jean Piaget. Epistemologia Genética.
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