基于认知风格场独立(fi)和场独立(fd)的学生解决数学问题的反思抽象水平

A. Yanti, Yuni Arrifadah, Adelia Ayu Mustikarini
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引用次数: 0

摘要

反思性抽象是一种通过现有结构的相似性和组合来构建数学概念的活动,并将其重组为四个层次:(1)识别,(2)表示,(3)结构抽象,(4)结构意识。个体在信息加工过程中具有不同的认知风格特征。认知风格的差异会影响个体理解问题的能力。本研究旨在从场独立(FI)和场依赖(FD)的认知风格来描述学生在解决数学问题时的反思性抽象水平。本研究为定性描述性研究。任务型访谈采用了数据收集技术。结果表明,场独立型学生在解决数学问题的各个阶段都能正确地进行反思性抽象,而场依赖型学生只能在介绍和表示阶段进行抽象。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
STUDENTS' REFLECTIVE ABSTRACTION LEVEL IN SOLVING MATHEMATICS PROBLEMS BASED ON COGNITIVE STYLES FIELD INDEPENDENT (FI) AND FIELD INDEPENDENT (FD)
Reflective abstraction is an activity to construct mathematical concepts through similarities and combinations of existing structures and reorganized into four levels: (1) recognition, (2) representation, (3) structural abstraction, and (4) structural awareness. Each individual has different characteristics of cognitive style in processing information. Differences in cognitive style affect the individual's ability to understand the problem. This study aims to describe students' level of reflective abstraction in solving mathematical problems in terms of field-independent (FI) and field-dependent (FD) cognitive styles. This research is a qualitative descriptive study. Task-based interviews carried out the data collection technique. The results are that field-independent (FI) students can correctly perform all levels of reflective abstraction in the stages of solving mathematical problems, but field-dependent (FD) students can only do abstraction on the introduction and representation.
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