中学生对矩形和三角形材料的反射性抽象

Ahmad Choirul Anam
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引用次数: 1

摘要

这项研究的目的是确定一个人在将新信息与先前拥有的信息(重构)联系起来时进行机械的心理活动的能力,这是一种反射性的抽象。学生重构四边形和三角形概念的过程采用了APOS理论的心理机制方法(内化、封装、解封装、协调)。这个过程可以通过观察学生和分析学生作业的结果来了解,首先要确定一个班级进行数学能力测试。进行数学能力测试时,有29名学生在场。对数学能力测试结果进行分析,发现2名不同性别的学生数学能力中等。第一名学生为男,第二名学生为女,以下简称研究对象,然后给研究对象分配四边形和三角形的任务。结果表明,女学生完成了APOS理论中所有阶段的反思性抽象。所以这些学生处于关系理解的水平。而男生在APOS理论的反思抽象阶段只做了几个阶段,因此被纳入工具性理解的层面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ABSTRAKSI REFLEKTIF SISWA SEKOLAH MENENGAH PERTAMA PADA MATERI SEGIEMPAT DAN SEGITIGA
The purpose of this study is to determine a person's ability to perform mental activities mechanically in associating new information received with previously owned information (reconstruction) which is a reflective abstraction. The process of reconstructing the concepts of quadrilaterals and triangles by students uses the mental mechanism approach of APOS theory (interiorization, encapsulation, de-encapsulation, coordination). The process can be known by observing students and analyzing the results of student work, starting with determining 1 class to be given a mathematical ability test. 29 students were present when the math ability test was given. The results of the mathematical ability test were analyzed and then found 2 students of different sexes with moderate ability. The first student is male and the second student is female, hereinafter referred to as the research subject, then the research subject is given the task of quadrilateral and triangle. The results showed that female students had done all stages of reflective abstraction in APOS theory. So, that these students were at the level of relational understanding. Meanwhile, male students only did several stages in the reflective abstraction stage on the APOS theory so that these students were included in the level of instrumental understanding.
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