STUDENTS' GEOMETRY THINKING ON CIRCLE MATERIAL BASED ON VAN HIELE'S THEORY

R. A. Prafianti, Novitasari Novitasari, Dian Novi Ambarwati
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Abstract

The purpose of this study was to describe students' geometric thinking skills on circle material based on Van Hiele's theory (Visualization, Analysis, Informal Deduction, Deduction, Rigor). The subjects of this study were 3 students of class IX-A SMP Hang Tuah 4 Surabaya based on their initial mathematical abilities (high, medium, and low). The initial mathematical ability data was obtained from data on report cards for the even semester of the 2021-2022 academic year and based on the considerations of the mathematics teacher for class IX-A. This type of research is descriptive qualitative research. Collecting data in this study used tests and interviews. The test instrument used in this study was a circular geometry test in the form of mathematical questions with circle material arranged based on the Van Hiele indicator without stage 4 (Rigor) with the consideration that the research was conducted in class IX SMP so students have not been able to understand the material at stage 4 (rigor). Student with high initial mathematical abilities, geometric thinking abilities is already at stage 2 (informal deduction). Student with medium mathematical abilities, geometric thinking skills is at stage 2 (informal deduction). Student with low mathematical abilities, geometric thinking skills is at stage 0 (visualization).
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基于范海勒理论的学生对圆形材料的几何思考
本研究的目的是描述学生在圆形材料上的几何思维能力,基于范·海尔的理论(可视化、分析、非正式演绎、演绎、严谨)。本研究的研究对象是3名SMP Hang Tuah 4泗水中学IX-A班的学生,根据他们的初始数学能力(高、中、低)进行研究。最初的数学能力数据来源于2021-2022学年偶数学期的成绩单数据,基于IX-A班数学老师的考虑。这种类型的研究是描述性质的研究。本研究采用测试和访谈的方式收集数据。本研究使用的测试工具是一个圆形几何测试,以数学问题的形式,根据Van Hiele指标排列圆形材料,没有第4阶段(严谨性),考虑到研究是在SMP IX班进行的,因此学生无法理解第4阶段(严谨性)的材料。初值数学能力较高的学生,几何思维能力已处于第二阶段(非正式演绎)。数学能力中等的学生,几何思维能力处于第二阶段(非正式演绎)。数学能力低的学生,几何思维能力处于0阶段(形象化)。
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审稿时长
24 weeks
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