フィリピン児童が有する図形概念の形成初期における困難性

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  • Difficulty in Initial Stage of Filipino Students’ Concept Formation of Geometric Figures
  • フィリピン ジドウ ガ ユウスル ズケイ ガイネン ノ ケイセイ ショキ ニ オケル コンナンセイ

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<p>　　 At the beginning of learning geometry at school, it is said that students have some difficulties to form mathematical concept of geometric figures because of keeping their own experienced based concepts. The purpose of this study is to figure out the difficulties of concept formation of geometric figures related to generalization.</p><p>　　 The author conducted a questionnaire for Filipino students in grade 1(n=40), grade 2(n=41), grade 3(n=40) and grade 4(n=41) at two schools in Metro Manila. The questionnaire consists of twenty shapes, triangles, quadrilaterals, sectors, unclosed shape and others. These shapes include prototype example and non-prototype examples, stable and unstable position and orientation. And also three choices, “No”, “Maybe Yes”, “Yes” as an answer for “Is this shape triangles?” are set. Through focusing on extension and analyzing data using three choices, three problems are indicated; (1) some grade 1 students have difficulty related to upside-down prototype example, (2) many of the students in grade 2 and 3 undertake the influence of visual features in a figure, for example “pointy” “curved side”, and their decisions in the case of identification are often vague, (3) most of students in each grade do not have mathematical view point relating to formal definition, therefore they recognize three types of shapes, sector, unclosed shape and rounded triangle as a triangle.</p><p>　　 In conclusion, in the process of generalization related to prototype, visual features in a figure and orientation, Filipino students have difficulties to use some essential attributes. There are three types of difficulties; (1) influence of horizontal triangle as prototype example, (2) vague and unstable judgment influenced by visual features, (3) scarcity of changing to mathematical viewpoint.</p>

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