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O desenvolvimento do pensamento geométrico de acordo com a teoria de Van Hiele
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Abstract(s)
Este relatório foi elaborado no âmbito do Mestrado em Ensino do 1.º Ciclo do Ensino
Básico e de Matemática e Ciências Naturais do 2.º Ciclo do Ensino Básico, realizado na
Escola Superior de Educação do Instituto Politécnico de Santarém. O presente relatório
está organizado em duas partes. A primeira refere-se à apresentação e reflexão acerca
das Práticas de Ensino Supervisionadas em 1.º e 2.º ciclos. A segunda parte contempla
a componente investigativa, que se centra no desenvolvimento do pensamento
geométrico segundo a teoria de van Hiele. Neste estudo, que seguiu um paradigma
interpretativo, decorreu em contexto de estágio e teve como participante alunos do 4.º
ano do 1.º Ciclo do Ensino Báscio e 6.º ano do 2.º Ciclo do Ensino Básico. Os dados
foram obtidos através da observação participante e análise documental.
Os resultados mostraram que os alunos do 4.º e 6.º ano apresentam, nas suas
produções, elementos explícitos e implícitos do nível 1 e explícitos de nível 2 do
pensamento de van Hiele. Além disso, a generalidade dos alunos mostraram evidências
de se encontrarem numa fase de desenvolvimento entre os níveis 1 e 2. Os resultados
revelam ainda a importância dos professores terem em conta o nível de van Hiele em
que os alunos se encontram para poder adequar o vocabulário e organizar as suas
aulas.
This report was drawn up as part of the Master's Degree in Teaching the 1st Cycle of Basic Education and Maths and Natural Sciences in the 2nd Cycle of Basic Education, held at the School of Education of the Polytechnic Institute of Santarém. This report is organised into two parts. The first refers to the presentation and reflection on the Supervised Teaching Practices in the 1st and 2nd cycles. The second part covers the research component, which centres on the development of geometric thinking according to van Hiele's theory. This study, which followed an interpretative paradigm, took place in the context of an internship and involved students from the 4th and 6th year of primary school. The data was obtained through participant observation and document analysis. The results show that the 4th and 6th grade students present explicit and implicit elements of level 1 and explicit elements of level 2 of van Hiele's thinking in their productions. Furthermore, most students exhibited evidence of being in a developmental phase between Levels 1 and 2. They also show how important it is for teachers to take into account the level of van Hiele's thinking their students are at in order to adapt their vocabulary and organise their lessons.
This report was drawn up as part of the Master's Degree in Teaching the 1st Cycle of Basic Education and Maths and Natural Sciences in the 2nd Cycle of Basic Education, held at the School of Education of the Polytechnic Institute of Santarém. This report is organised into two parts. The first refers to the presentation and reflection on the Supervised Teaching Practices in the 1st and 2nd cycles. The second part covers the research component, which centres on the development of geometric thinking according to van Hiele's theory. This study, which followed an interpretative paradigm, took place in the context of an internship and involved students from the 4th and 6th year of primary school. The data was obtained through participant observation and document analysis. The results show that the 4th and 6th grade students present explicit and implicit elements of level 1 and explicit elements of level 2 of van Hiele's thinking in their productions. Furthermore, most students exhibited evidence of being in a developmental phase between Levels 1 and 2. They also show how important it is for teachers to take into account the level of van Hiele's thinking their students are at in order to adapt their vocabulary and organise their lessons.
Description
Mestrado em Ensino do 1º ciclo e de Matemática e Ciências da Naturais no 2º ciclo do Ensino Básico
Keywords
estágio geometria elementos explícitos elementos implícitos níveis de van Hiele stage geometry explicit elements implicit elements van Hiele levels
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