基于范·海尔理论的萨纳维耶伊斯兰学校学生几何思维阶段分析

Nasifah, Arif Muchyidin, Muhamad Ali Misri
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引用次数: 1

摘要

在学习数学,特别是几何的过程中,教师必须关注学生的能力水平。Van Hiele提出,学生在学习几何时会经历五个阶段的思维:形象化阶段、分析阶段、非正式演绎阶段、演绎阶段和严谨阶段。每个思考阶段将由学生依次通过,而不通过任何前一个阶段。本研究旨在识别和描述高中学生的几何思维阶段。第一种是基于凡·海尔的理论。本研究采用的研究方法是描述性定量的。本研究是在锡勒本市安努尔的MTs (Madrasah Tsanawiyah)进行的,共有318名学生和72名学生,采用有目的抽样技术。所使用的数据收集技术是以Van Hiele几何思维阶段测试的形式进行的,该测试有25个选择题,分为五个子测试。结果显示,29.17%的学生处于第一阶段(可视化),25%的学生处于第二阶段(分析),6.94%的学生处于第三阶段(非正式演绎)。还有学生没有进入van Hiele几何思维阶段(0阶段),占13.89%。而无法确定其van Hiele几何思维阶段的学生,高达25%。学生达到的最高阶段是第3阶段(非正式推理),因此没有学生达到第4阶段(推理)和第5阶段(严格)。一般来说,安努尔MTs (Madrasah Tsanawiyah)学生的几何思维阶段处于van Hiele几何思维的第一阶段。
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Analysis of the Geometric Thinking Stage of Madrasah Tsanawiyah Students Based on Van Hiele's Theory
In the process of learning mathematics, especially geometry, teachers must pay attention to the level of ability possessed by students. Van Hiele suggests that there are five stages of thinking that students will go through in learning geometry: the visualization stage, the analysis stage, the informal deduction stage, the deduction stage, and the rigor stage. Each stage of thinking will be passed by students sequentially without passing any of the previous stages. This study aimed to identify and describe the geometric thinking stages of high school students. The first is based on van Hiele's theory. The research method used in this research is descriptive quantitative. This research was conducted at MTs (Madrasah Tsanawiyah) An-Nur, Cirebon City, with a population of 318 students and a sample of 72 students selected using a purposive sampling technique. The data collection technique used is in the form of a Van Hiele geometric thinking stage test with 25 multiple choice questions divided into five subtests. The results showed that 29.17% of students were in stage 1 (visualization), 25% of students were in stage 2 (analysis), and 6.94% of students were in stage 3 (informal deduction). There are still students who have not entered the van Hiele geometric thinking stage (at stage 0), namely 13.89%. As for the students who could not determine their van Hiele geometric thinking stage, as many as 25%. The highest stage achieved by students was stage 3 (informal deduction), so no student reached stage 4 (deduction) and stage 5 (rigor). In general, the geometric thinking stage of MTs (Madrasah Tsanawiyah) An-Nur students is at stage 1 of van Hiele's geometric thinking.
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