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Student's Mathematical Representation in Solving Geometry Problems Based on Cognitive Style

机译:基于认知风格解决几何问题的学生数学表示

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This research aims to describe the student's mathematical representation of junior high school who had field independent cognitive style and field dependent in solving geometry problem. Subjects were selected based on the test results of the Group Embedded Figures Test (GEFT), and had equivalent mathematical abilities. The research subjects consisted of two female students who had field independent and field dependent cognitive style. This research uses a qualitative method. The results showed that the subject used mathematical representation in expressing his idea to solve geometry problems by using Polya's problem solving. The mathematical representation of field independent in solving geometry problem is: understanding information and what is asked in verbal, devising a plan in a visual of geometric images, then presenting verbal plans, carrying out the plan in symbolic by doing calculations, and looking back in symbolic by doing recalculation. Where as field dependent mathematical representations to solving geometry problems is: understanding information and asking in visual of geometrical images and verbal, devising a plan in a visual in the form of subsequent images presenting verbal plans, carrying out the plan in symbolic by performing calculations, and looking back in symbolic in the form of recalculation.
机译:本研究旨在描述学生的初中的数学代表,他们依赖于解决几何问题的现场独立认知风格和领域。基于组嵌入式数据测试(GEFT)的测试结果选择受试者,并具有等同的数学能力。研究科目由两名女学生组成,他们拥有独立和现场依赖认知风格。该研究使用定性方法。结果表明,该主题使用数学表示在表达他的想法来解决几何问题,通过使用Polya的解决问题。独立于解决几何问题的字段的数学表示是:了解信息和口头上的要求,在几何图像的视觉中设计了一个计划,然后呈现口头计划,通过执行计算,在符号中执行计划,并回顾通过重新计算来象征性。作为解决几何问题的现场依赖性数学表示是:了解信息并在几何图像和口头询问,以呈现口头计划的后续图像的形式设计了一种规划,通过执行计算,在符号中执行计划,并以重新计算的形式回顾象征性。

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