O componente espacial da habilidade matematica de alunos do ensino medio e as relações com o desempenho escolar e as atitudes em relação a matematica e a geometria

AUTOR(ES)

Odaléa Aparecida Viana

DATA DE PUBLICAÇÃO

2005

RESUMO

In considering the influence of cognitive and affective factors in academic achievement of geometry, the objectives of this work were to analyze the spatial component of mathematical ability and to verify the existence of relations among this component, the spatial sense, the attitudes toward Mathematics and Geometry and the academic performance. The subjects of this research were 177 students, from three grades of a particular school from Mogi das Cruzes ? SP. Two questionnaires with pencil and paper, one spatial sense test and two attitudes scales toward mathematics and geometry were applied. The factorial analysis of spatial component operations of mathematics ability (counting of cubes, formation and identification of polygon in space, section, planning, projection and rotation) indicated the existence of one factor. It proved that the test evaluated the general ability to deal with geometric concepts that are taught in the secondary school, taking into account the proposed tasks. The attitudes toward Mathematics were related to the attitudes toward geometry. The geometry performance was related to the spatial sense, to the spatial component of mathematical ability and to the attitudes toward mathematics and geometry. This work made reference to the formation, inspection and transformation of visual mental images, whose processes were evidenced in the phases of acquisition and processing of problems geometrical information. The external graphical representations that were evidenced in the solution of geometry problems with the spatial structure were classified according to the function, coherence and detailing, and the dates indicated that the most talented students made partial and coherent representations and did not utilize them as perceptual assistance.Psychology of Mathematics Education; geometry teaching; mathematical abilities; spatial sense

ASSUNTO(S)

mathematical abilities raciocinio (psicologia) spatial sense geometry teaching educação matematica matematica capacidade matematica psychology or mathematics education geometria - estudo e ensino psicologia da educação

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