平衡在数学学习认知结构形成中的作用

I. Kusmaryono, M. Aminudin, K. Kartinah
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摘要

摘要本研究旨在探讨均衡在学生数学学习过程中对认知结构的组织与建构所起的关键作用。本定性研究采用现象学研究方法。主要的研究工具是访谈指南格式和圆形方程材料的认知测试问题文件。通过三角剖分对所得研究数据的有效性进行检验。方法通过比较学生工作资料和访谈资料进行三角剖分。理论三角测量是通过将所获得的数据描述与相关理论来源进行比较来完成的。结果表明,在知识建构(认知结构)的背景下,同化和适应过程与平衡之间存在很强的关系。平衡在认知结构形成中的作用是通过考虑数学学习中的社会文化维度(环境),引导学生组织以前的知识(图式)和新的知识,并使思维结构变得更加复杂。进一步的研究表明,在为基于平衡的活动选择主题时,教师应该提供一个有效的学习环境,以支持认知结构的形成,使其变得更加繁荣和复杂。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
THE ROLE OF EQUILIBRATION IN THE FORMATION OF COGNITIVE STRUCTURES IN MATHEMATICS LEARNING
The purpose of this study was to investigate the critical role of equilibration in organizing and building students' cognitive structure in the practice of learning mathematics. This qualitative research was designed using a phenomenological study approach. Participants in this study were 30 high school students of XI level. The main research instrument was the interview guide format and the document of cognitive test questions with the circle equation material. Research data obtained were tested for the validity of the data by triangulation. Method triangulation was done by comparing student work data and interview data. Theory triangulation is done by comparing the descriptions of the data obtained with the relevant theoretical sources. The results showed that in the context of knowledge construction (cognitive structure), there is a strong relationship between the process of assimilation and accommodation with equilibration. The role of balance in forming cognitive structures is to guide students to organize previous knowledge (schemas) and new knowledge and create thinking structures to become more complex by considering the socio-cultural dimension (environment) in mathematics learning. Further studies suggest that when selecting topics for equilibration-based activities, teachers should provide an effective learning environment to support the formation of cognitive structures to become more prosperous and complex.
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