Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level
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 qual...
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Format: | Article |
Language: | English |
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Universitas Muhammadiyah Mataram
2023-01-01
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Series: | JTAM (Jurnal Teori dan Aplikasi Matematika) |
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Online Access: | http://journal.ummat.ac.id/index.php/jtam/article/view/11528 |
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author | Dwi Priyo Utomo Tuti Zahrotul Amaliyah Rani Darmayanti Usmiyatun Usmiyatun Choirudin Choirudin |
author_facet | Dwi Priyo Utomo Tuti Zahrotul Amaliyah Rani Darmayanti Usmiyatun Usmiyatun Choirudin Choirudin |
author_sort | Dwi Priyo Utomo |
collection | DOAJ |
description | 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). |
first_indexed | 2024-04-10T09:38:24Z |
format | Article |
id | doaj.art-302130dd5b5244a6825835539ff568fb |
institution | Directory Open Access Journal |
issn | 2597-7512 2614-1175 |
language | English |
last_indexed | 2024-04-10T09:38:24Z |
publishDate | 2023-01-01 |
publisher | Universitas Muhammadiyah Mataram |
record_format | Article |
series | JTAM (Jurnal Teori dan Aplikasi Matematika) |
spelling | doaj.art-302130dd5b5244a6825835539ff568fb2023-02-17T13:49:27ZengUniversitas Muhammadiyah MataramJTAM (Jurnal Teori dan Aplikasi Matematika)2597-75122614-11752023-01-017113914910.31764/jtam.v7i1.115285798Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele LevelDwi Priyo Utomo0Tuti Zahrotul Amaliyah1Rani Darmayanti2Usmiyatun Usmiyatun3Choirudin Choirudin4Mathematics Education, University of Muhammadiyah Malang East JavaMathematics Education, University of Muhammadiyah Malang East JavaMathematics Education, University of Muhammadiyah Malang East JavaMathematics Education, University of Muhammadiyah Malang East JavaMathematics Education, Institut Agama Islam Ma'arif NU (IAIMNU) Metro LampungThinking 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).http://journal.ummat.ac.id/index.php/jtam/article/view/11528solving geometryintuitive thinking processvan hiele level. |
spellingShingle | Dwi Priyo Utomo Tuti Zahrotul Amaliyah Rani Darmayanti Usmiyatun Usmiyatun Choirudin Choirudin Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level JTAM (Jurnal Teori dan Aplikasi Matematika) solving geometry intuitive thinking process van hiele level. |
title | Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level |
title_full | Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level |
title_fullStr | Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level |
title_full_unstemmed | Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level |
title_short | Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level |
title_sort | students intuitive thinking process in solving geometry tasks from the van hiele level |
topic | solving geometry intuitive thinking process van hiele level. |
url | http://journal.ummat.ac.id/index.php/jtam/article/view/11528 |
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