基于场依赖和场独立认知风格的数学比例推理能力分析

A. Taufik, N. Nurhayati, A. Prayitno, B. Tresnawati, R. Syafari
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摘要

. 本研究旨在以场依赖型和场独立型学习风格描述学生数学比例推理能力的结果和分析。本研究于2020/2021学年9月在七A班Nurul Huda Beringin进行,共有9名学生。采用有目的抽样的方法,选取了多达4名学生作为研究对象,即2名具有场依赖型认知风格的学生和2名具有场独立型认知风格的学生。研究方法采用描述性定性结合案例研究设计。数据收集采用分组嵌入图测试、数学比例推理能力测试、深度访谈和观察法。数据分析是通过减少数据、呈现数据和得出结论来完成的。检验数据有效性的技术采用了技术三角法。结果表明:(1)具有场依赖型认知风格的学生有7人,具有场依赖型认知风格的学生有2人;(2)具有场依赖型认知风格的学生,即WL和IS被试处于0级非比例推理,两个被试都能够满足寻找值或数量进行比较的指标,但没有满足寻找值或数量之间的关系的指标,并使用适当的程序进行计算比较。具有独立场认知风格的学生,即LH和DK被试处于3级形式比例推理,两个被试都能够满足寻找值或数量进行比较的指标,找到值或数量之间的关系,并使用适当的程序进行计算比较
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Analysis of Mathematical Proportional Reasoning Ability Based on Field Dependent and Field Independent Cognitive Style
. This study aims to describe the results and the analysis of students' mathematical proportional reasoning abilities in terms of field dependent and field independent learning styles. This research was conducted in class VII A MTs Nurul Huda Beringin in September Odd Semester Academic Year 2020/2021 with a total of 9 students. The research subjects were selected by purposive sampling as many as 4 students, namely 2 students who had a field dependent cognitive style and 2 students who had a field independent cognitive style. The research method used descriptive qualitative with a case study research design. The data collection used the Group Embedded Figures Test, mathematical proportional reasoning ability test, in-depth interviews and observation. The data analysis is done by reducing the data, presenting the data, and drawing conclusions. The technique of checking the validity of the data used the technique triangulation method. The results showed that: (1) There were 7 students who had a field dependent cognitive style and 2 students who had a field dependent cognitive style; (2) Students with a field dependent cognitive style, namely the WL and IS subject are at level 0 non-proportional reasoning, both subjects have been able to meet the indicators of finding values or quantities to compare, however it has not met the indicators to find a relationship between value or quantity, and use appropriate procedures in calculating comparisons. Students with the independent field cognitive style, namely the LH and DK subjects are at level 3 formal proportional reasoning, both subjects have been able to meet the indicators of finding values or quantities to compare, find the relationship between values or quantities, and use appropriate procedures in calculating comparisons
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