The Process of Student's Mathematic Abstract from Spatial Intelligence

Nor Khasanah, Nurkaidah Nurkaidah, R. Dewi, Y. A. Prihandika
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Abstract

Every student must have mathematical abstraction skills. Research with a qualitative approach aims to identify the mathematical abstraction process of students when working on geometric material problems in terms of spatial intelligence. By using a descriptive design, apart from the researcher as the main instrument, the mathematical abstraction test, the spatial intelligence test, and the interview reference were used as auxiliary instruments. A total of 6 students from class VIII were selected through purposive sampling technique which was taken from each category of spatial ability which had been classified into high, medium and low criteria. Based on data analysis, students' mathematical abstraction can be grouped into 4 levels, namely: recognition, representation, structural abstraction, and structural awareness. The conclusions of this study are: 1) students with a high level of spatial intelligence can achieve all four levels of mathematical abstraction characteristics and activities, namely recognition, representation, structural abstraction, and structural awareness. 2) students with moderate spatial intelligence can only achieve two levels of mathematical characteristics and abstraction activities, namely recognition and representation. 3) students with low-level spatial intelligence are only able to achieve one level of mathematical abstraction characteristics and activity, namely recognition where students are able to remember previous activities and experiences related to the problems at hand. This shows that students with moderate and low-level spatial intelligence do not have adequate abstraction skills in the concept of geometry.
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从空间智能看学生数学文摘的过程
每个学生都必须具备数学抽象技能。采用定性方法的研究旨在从空间智能的角度确定学生在处理几何材料问题时的数学抽象过程。采用描述性设计,除研究者为主要工具外,还采用数学抽象测验、空间智力测验和访谈参考作为辅助工具。采用有目的抽样的方法,从空间能力的高、中、低三个类别中抽取六名八班学生。根据数据分析,学生的数学抽象可以分为4个层次,分别是:识别、表征、结构抽象和结构意识。研究结果表明:1)空间智能水平高的学生能够实现数学抽象特征和活动的所有四个层次,即识别、表征、结构抽象和结构意识。2)中等空间智力的学生在数学特征和抽象活动上只能达到两个层次,即识别和表征。3)空间智力水平低的学生只能达到一个层次的数学抽象特征和活动,即识别,即学生能够记住与手头问题相关的先前活动和经验。这说明空间智能中低水平的学生在几何概念的抽象能力不足。
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