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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Main Authors: Dwi Priyo Utomo, Tuti Zahrotul Amaliyah, Rani Darmayanti, Usmiyatun Usmiyatun, Choirudin Choirudin
Format: Article
Language:English
Published: Universitas Muhammadiyah Mataram 2023-01-01
Series:JTAM (Jurnal Teori dan Aplikasi Matematika)
Subjects:
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).
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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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AT ranidarmayanti studentsintuitivethinkingprocessinsolvinggeometrytasksfromthevanhielelevel
AT usmiyatunusmiyatun studentsintuitivethinkingprocessinsolvinggeometrytasksfromthevanhielelevel
AT choirudinchoirudin studentsintuitivethinkingprocessinsolvinggeometrytasksfromthevanhielelevel