Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level

Authors

  • Dwi Priyo Utomo Mathematics Education, University of Muhammadiyah Malang East Java
  • Tuti Zahrotul Amaliyah Mathematics Education, University of Muhammadiyah Malang East Java
  • Rani Darmayanti Mathematics Education, University of Muhammadiyah Malang East Java
  • Usmiyatun Usmiyatun Mathematics Education, University of Muhammadiyah Malang East Java
  • Choirudin Choirudin Mathematics Education, Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

DOI:

https://doi.org/10.31764/jtam.v7i1.11528

Keywords:

Solving Geometry, Intuitive Thinking Process, Van Hiele level.

Abstract

Thinking is a cognitive way of generating ideas for problem-solving decision-making strategies. This study aims to analyze and describe intuitive thinking processes in solving students' mathematical assignments about geometry based on Van Hiele's theory. The method used is descriptive qualitative. The research subjects were students of class VIIIA. The research location is one of the Madrasah Tsanawiyah in Pasuruan Regency. Credibility uses source data collection techniques using the VHGT test to determine the level of the subject, geometry problem tests, document studies, and interviews. The main instruments are researchers and supporters of geometry tests and interviews. The results of this study indicate that students who think intuitively through catalytic inference are obtained spontaneously and suddenly in completing the math tasks they face without using prior knowledge, and intuitively appear globally and use shortcuts. Whereas students who think intuitively with common sense are obtained directly and directly using the steps to complete mathematical tasks neatly and neatly, intuitively, the sequence of completing tasks appears by their experience and knowledge. Based on Van Hiele's level, students who think intuitively with catalytic inference are included in level 0 (visualization), and students who think intuitively with common sense are included in level 1 (analysis). Students who think intuitively with common sense can directly and immediately use the steps to complete math tasks neatly and neatly, intuitively appearing in the sequence of completing tasks according to their experience and knowledge. Based on Van Hiele's level, students who think intuitively with catalytic inference are included in level 0 (visualization), and students who think intuitively with common sense are included in level 1 (analysis). Students who think intuitively with common sense can directly and immediately use the steps to complete math tasks neatly and neatly, intuitively appearing in the sequence of completing tasks according to their experience and knowledge. Based on the Van Hiele level, students who think intuitively with catalytic inference are included in level 0 (visualization).

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Published

2023-01-12

Issue

Vol. 7 No. 1 (2023): January

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