Hiele Theory Research Articles

An Investigation into the Challenges and Strategies of Secondary Students' Geometric Thought Processes through the Lens of Van Hiele's Theory

An Investigation into the Challenges and Strategies of Secondary Students' Geometric Thought Processes through the Lens of Van Hiele's Theory

Studi Pustaka Kemampuan Menganalisis pada Pembelajaran Geometri dengan Menerapkan Teori Van Hiele terhadap Peserta Didik Kelas V SD

This study aims to determine the ability to analyze students on geometry learning by applying Van Hiele's theory to elementary theory to grade V elementary school students. The background of this researchis the author found an indication of the low ability to analyze learners in elementary school. This article aims to provide a proposal for Van Hiele Theory in geomtery learning. The method of this research is through literature study, which is collecting data from various books, articles, and research results to obtain the information being researched. research results to obtain information that is being researched. The approach used in this research is qualitative, which is to collect descriptive data from previous research as a source of research. as a source of research. The data that has been obtained is analyzed and concluded so as to get conclusions from several previous studies to answer how to provide proposals for the ability to analyze students through Van Hiele's theory in learning geometry. The results of the literature study This literature study shows that Van Hiele's theory has an important role in helping the teachers to develop learning methods that are suitable for geometry material, by going through the stages of geometry learning based on through the stages of learning geometry based on Van Hiele's theory, namely: 1) Recognition stage; 2) Analysis stage; 3) Deduction stage; 4) The accuracy stage. With this it can be concluded that Van Hiele's theory can help students and teachers in the process of learning geometry by going through the stages that have been proposed by Van Hiele stages that have been put forward by Van Hiele. In this case, the teacher can apply Van Hiele's theory to students starting from the introduction stage by using concrete media that is commonly found in the classroom. Introduction stage by using concrete media that is commonly found around, up to the analysis stage, namely the around, up to the analysis stage, which is the stage of students to analyze in depth about the observed flat shapes.

ANALISIS BERPIKIR SISWA KELAS VII SMP BERDASARKAN TEORI VAN HIELE DALAM MENYELESAIKAN SOAL PADA MATERI SEGITIGA

Abstract
 This research aims to describe the thinking of class VII students at SMP Negeri 21 Ambon based on Van Hiele's theory in solving problems on triangle material. Types of research, namely qualitative research. The subjects in this research were 3 selected students of 21 students provided that students answer all questions correctly and students who are able to communicate according to the teacher's considerations that school. The qualitative data analysis used consists of data reduction, data presentation and drawing conclusions. The research results show that for level 0 (visualization) the three subjects have fulfilled level 0, namely being able to describe something build on its properties and use the description to draw a shape. For level 1 (analysis) all three subjects have fulfilled level 1, namely being able to say they are awake flat what is formed based on given properties. And level 2 (sorting) All three subjects have fulfilled level 2, namely being able to identify information that is known and asked from the question and can be use the right strategy and get the right answer

Analisis Kemampuan Berpikir Siswa Berdasarkan Teori Van Hiele pada Materi Kubus dan Balok

Every student has different abilities, this difference is due to the different stages of ability that students have. The purpose of this study was to describe students' thinking skills based on Van Hiele's learning theory. The subjects of this study were 15 students of class VIII SMPN 2 Makale. The instruments used were test descriptions and interviews. The results showed 93% who had the ability to think at the introductory stage (stage 0), 80% of students who had the ability to think at the stage of analysis (stage 1), 33% of students who had the ability to think at the sequencing stage (stage 2), and 20% of students. who has the ability to think at the deduction stage (stage 3). Thus, the thinking ability of iclass VIII students of SMP Negeri 2 Makale based on Van Hiele's theory on cube and block material reaches stage 3 or the deduction stage.

Analisis Kebutuhan Pengembangan Instrumen Penilaian Kemampuan Berpikir Geometri Berbasis Website

The ability to think geometrically is hierarchical so students need to master the initial level of thinking before they are going to the next level. Geometry learning strategies need to consider the level of students' thinking abilities. Assessment with paper-based tests has weaknesses in terms of practicality and does not develop students' technological literacy in the digitalization era. This study aims to analyze the need for the development of a website-based instrument to assess the geometric thinking skills of elementary school students referring to Van Hiele's theory. This research is a literature review with a qualitative approach. The articles reviewed in this research are articles that discuss thinking skills based on Van Hiele's theory with research subjects of elementary school students and published from 2021 to 2023. Data were analyzed by Miles and Huberman's interactive model. The results showed that a web-based instrument for assessing the geometric thinking abilities of elementary school students based on Van Hiele's theory was needed to systematically assess students' geometric thinking abilities then could be followed up with learning activities according to students' abilities. The level of thinking of elementary school students assessed is from visualization to abstraction which is adapted to the material and curriculum of the elementary school.

Analisis Peningkatan Level Berpikir Geometri Mahasiswa Berdasarkan Teori Van Hiele dengan Pendekatan Konstruktivisme

The provision of problem-solving, analytical, systematic, critical, and creative skills is important to improve human resources that can be obtained from learning mathematics. Geometry is a field of mathematics that aims to develop logical thinking skills, develop spatial intuition, and interpret mathematical arguments. Several studies show that students' understanding of geometry material is still at a low level, so it is necessary to develop or improve the geometry learning process. The purpose of this study is to describe the increase in students' geometric thinking levels based on Van Hiele's theory with a constructivism approach. The method used in this research is descriptive qualitative with data analysis techniques using the Miles & Huberman model in the form of data reduction, data presentation, and drawing conclusions. The results showed that before the learning process using a constructivist approach, students' geometric thinking skills were at levels 1 to 3 or the analysis stage to a formal deduction with the average being at the informal deduction and pre-formal deduction stages. Meanwhile, after the learning process using a constructivist approach was carried out, geometric thinking skills increased at levels 2 to 4 or the informal deduction stage to the rigor with an average increase in the formal deduction stage.

ANALISIS KEMAMPUAN SPASIAL SISWA MELALUI TEORI BELAJAR VAN HIELE PADA PEMBELAJARAN MATEMATIKA DI SEKOLAH DASAR

Mathematics learning must be facilitated by students' skills in conveying their creative ideas and the teacher's skills needed to provide constructive learning. One of the abilities that can develop students' thinking skills in learning geometry is spatial ability. Mathematical spatial ability pressure in the field of geometry and is important for students to master. The importance of spatial abilities requires students to have good mathematical spatial abilities. Because learning mathematics cannot be separated from geometry, so with good spatial abilities, mathematical abilities will also be good, especially in the field of geometry. The form of an effort to find out students understand geometry material is by using van Hiele's geometric thinking theory so that they are able to overcome students' difficulties in learning geometry. Van Hiele's stages consist of the visualization stage, the analysis stage, the abstraction stage, the deduction stage, and the rigor stage. ). In this study, we wanted to know the spatial abilities of students at the level of visualization (0) and analysis (1) from van Hiele's theory, namely students' initial ability to recognize geometric elements/components.

Development of GeoGebra-Assisted Digital Learning Media for Geometry Transformation Materials based on Van Hiele's Theory

Development of GeoGebra-Assisted Digital Learning Media for Geometry Transformation Materials based on Van Hiele's Theory

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 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).

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

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).

Analisis Kecerdasan Spasial Siswa dalam Menyelesaikan Soal-Soal Geometri Berdasarkan Tingkat Berpikir Van Hiele

The purpose of this research is to describe, identify and analyze students' spatial intelligence in working on geometry problems according to Van Hiele's theory. The method used in this research is descriptive research with a qualitative approach. This research was conducted at SMP Negeri 2 Tarakan. The research instrument used was the Van Hiele geometric thinking level test and spatial ability test, interview guides and documentation. Prior to use, the test, an interview guide, was first validated. The data analysis technique will be used in 4 stages, namely collecting, reducing, presenting, and concluding all the data obtained. The results of this study are that students with high spatial intelligence (KST) are at the level of informal deductive thinking (level 3) where at this ability students are able to know the relationship between shapes. While students with moderate spatial intelligence (SCC) are at the level of analytical thinking (level 2), namely the ability to know and mention the properties of flat shapes. Students with low spatial intelligence (KSR) are at the level of visualization thinking (level 1). In conclusion, it is important for teachers to know students' abilities in learning geometry by paying attention to the level of geometric thinking, being able to use the Van Hiele Geometry learning model, increasing spatial intelligence and van Hiele levels can be done through training involving geometric media or software (geogebra).
 
 Keywords: spatial intelligence, geometry, level of thinking, Van Hiele

Analysis of Student's Geometry Thinking Ability Based on Van Hiele's Theory

<p>The purpose of this study was to analyze students' geometric thinking skills in solving geometric problems based on Van Hiele's thinking stages. This research is a qualitative research. The subjects of this study were students of class XII MIPA 2 SMA Negeri Tomo, totaling 29 students. With purposive sampling obtained 6 research subjects representing the stages of thinking Van Hiele, data collection methods with test questions and interviews. Analysis of research data is data collection, data reduction, data presentation, and drawing conclusions. The results of the study are: no student can reach the rigor stage</p>

Analysis of mathematics problem-solving ability on plane figure subject based on van hieles theory at Junior High School

This study aims to describe the ability to solve mathematical problems in Plane Figure Subject based on van Hiele's theory in class VIII students of SMP Negeri 1 Mataram in the academic year 2021/2022. The type of research used is descriptive qualitative, which produces data in the form of written or spoken words from people and observed behavior. The subjects in this study were students in class VIII-E at SMP Negeri 1 Mataram, totaling 36 students. The method of taking the subject in this study used purposive sampling, which was selected based on the objectives to be achieved. The data collection methods used are the van Hiele test and the flat wake problem-solving ability test, interviews, and documentation. The thinking level of students in taking the van Hiele test was: 20 students at level 0 (visualization) with a percentage of 55.56%, 13 students at level 1 (analysis) with a percentage of 36.11%, and 3 students at level 2 (informal deduction) with a percentage of 8.33%. Furthermore, students at each level of van Hiele's thinking were taken as representatives of each of the 2 subjects to carry out a problem-solving ability test. Based on the results of the research on the problem-solving abilities of students based on the Polya problem-solving stage, students who are at level 0 can understand the problem but have not been able to carry out the other Polya-solving stages. Students at level 1 can understand the problem and develop a settlement plan but have not been able to carry out the other stages of Polya solving. Students at the level can understand the problem, develop a settlement plan, and carry out a settlement plan but have not been able to re-examine. It shows that the higher the van Hiele thinking level of the students, the better their problem-solving abilities will be.

PROBLEM SOLVING FOR FIFTH GRADE IN QUADRILATERAL LEARNING USING VAN HIELE THEORY AND CONTEXTUAL APPROACH

This research is a literature study with a qualitative approach. This research is motivated by the importance of students' understanding of the material properties of quadrilaterals. The purpose of this study is that researchers want to find out whether Van Hiele's theory and contextual approaches are effective in increasing the understanding of fifth grade elementary school students about the material properties of quadrilaterals. Van Hiele's theory is a theory that is specifically used in the field of geometry which has 5 stages of learning, namely the information stage, the directed orientation stage, the explicitization stage, the free orientation stage, and the integration stage. While the contextual approach emphasizes on 7 contextual components, namely: (1) Constructivism, (2) Asking, (3) Finding, (4) Learning Society, (5) Modeling, (6) Reflection, (7) Actual assessment. So that learning is obtained through knowledge and experience or the real world, improving students' higher order thinking processes, student-centered, active students, critical, creative, problem solving, students learn in a fun, exciting, not boring, and use various learning resources. The results of this study indicate that there is an increase in students' understanding of the material properties of quadrilaterals by using Van Hiele's learning theory and contextual approach.

Van Hiele's Theory and Think Pair Share Cooperative Learning Model and Their Effect on Madrasah Tsanawiyah Student's Level of Mathematical Thinking

This study aimed to determine the effect of applying van Hiele's theory using a Think Pair Share (TPS) cooperative learning model on students' mathematical thinking levels. Following the research objectives, the researchers used experimental and quantitative research methods. In this study, two sampling techniques were used, namely using, purposive and random samples. Based on the sampling technique, class VIII F is the experimental class, and class VIII G is the control class, with 32 students each. Based on the results of the analysis, it was found that the level of students' mathematical thinking after the implementation of van Hiele's theory used the TPS type cooperative learning model with an average post-test score of 63.38, which was considered sufficient, and based on the results of hypothesis testing using t-test calculations, t-count = 3.825 > t-table = 2.04. This means that applying van Hiele's theory utilizing a Think Pair Share (TPS) cooperative learning model affects the level of students' mathematical thinking.

Android Educational Game “MATHOLIC” Based on Van Hiele’s Geometric Thinking Level on Plane Figures

The objective of this study was to produce an educational game based on Van Hiele’s geometric thinking level called “MATHOLIC” on plane figures material in fourth-grade elementary school. This research was Research and Development (RD), which used the ADDIE model. The subjects of this study were fourth-grade students of Tlumpu Blitar State Elementary School. The data collection instruments were interview guidelines and questionnaires. The data was obtained in the form of qualitative data and quantitative data. The results of this study showed that: (1) the material experts gave the level validity of MATHOLIC 95,8%, while media experts gave the validity level of MATHOLIC 94,4%, and the classroom teacher gave the level validity of 98%, which meant that MATHOLIC was very valid; (2 )student responses in small group trials obtained a percentage of the practicality was 95% and in the field trial was 97,7% which meant that MATHOLIC was very practice; (3) the average score was 87,7 in the small group trial and 96,4 in the field trial which meant that the average was already above the Minimum Completeness Criteria score. MATHOLIC was declared valid and practical to be suitably used in learning mathematics. This study showed the validity and practicality of learning media in educational games that use van Hiele's theory. The findings of this study will be a solution for teachers who have difficulty teaching the material of plane figures to make it more effective and easily understood.

Profil level penalaran geometris siswa SMP dalam menyelesaikan soal geometri berdasarkan Teori Van Hiele

This study aims to describe the level profile of junior high school students' geometric reasoning in solving geometry problems in terms of Van Hiele's theory. The instruments used in this study consisted of the main and supporting instruments. The main instrument is the researcher himself. The supporting instruments consist of a Van Hiele thinking level test, a geometry problem-solving test and an interview guide that aims to verify how students step in solving geometry problems. The results showed that most students were still low in mastering the subject of understanding the concept of geometry so that it could cause errors when answering questions. This shows that the mathematical reasoning of junior high school students based on Van Hiele's theory for subjects with high and medium abilities is at level 1 (analysis) while those with low abilities are at level 0 (visualization).

Analisis Tingkat Berpikir Siswa Berdasarkan Teori Van Hiele Materi Segi Empat dan Segitiga Ditinjau dari Gaya Kognitif

This study aims to describe students' thinking levels based on Van Hiele's theory on quadrilaterals and triangles material in terms of reflective and impulsive cognitive styles. The research method used is descriptive qualitative. The subjects in this study were students of class VIII H SMP Negeri 1 Wanasaba. The instruments used are cognitive style tests, geometry tests, and interviews. The results showed that the cognitive style of students in class VIII H of SMP Negeri 1 Wanasaba was generally dominated by students with reflective and impulsive cognitive styles, 71.9% greater than students with fast accurate and slow inaccurate cognitive styles, namely 28.1%. Students with reflective cognitive style are generally at the analysis level (level 1). Reflektive students are able to identify the shapes of quadrilaterals and triangles, are able to determine the names of a quadrilateral and triangular shapes, are able to determine the properties and similarities of the properties. Students with impulsive cognitive style are generally at the visualization level (level 0). Impulsive student at this level are able to identify rectangular and triangular and are able to determine the names of flat shapes correctly but not yet complete.

GEOMETRY LEARNING WITH INDONESIAN REALISTIC MATHEMATICS EDUCATION APPROACH

This research is based on the learning background that is still a teacher-centered dynamic while students are passive. The purpose of this research is to develop a teacher’s guideline in learning geometry with the Indonesian Realistic Mathematics Education (PMRI) approach that is valid, practical, and influential. This research is a development research (R&D) with the Tjeerd Plomp model. Field trial with an experimental design of one group pre-test and post-test time series, with a sample of 33 elementary school students in the city of Padang. The results showed that the PMRI teacher guidelines were valid, practical, and influential. In particular, there are significant differences in the geometry learning outcomes between before and after using this teacher guide. This is indicated by the results of the data analysis of the significant difference between post-test 1 and pre-test 1, post-test 2 and pre-test 2, as well as post-test 3 and pre-test 3 with a p-value of 0.001 < 0.05. Qualitatively, students can understand that a square is a rectangle whose all sides are the same length, and that a square and a rectangle had the characteristics of a parallelogram. In term of van Hiele's theory, students are at the stage of informal deductive thinking. Students can conclude the shapes and characteristics of flat shapes of triangles, squares, rectangles, and parallelograms. Elementary school teachers are advised in learning geometry to use the teacher’s guidelines that have been developed.Keywords: Learning, geometry, PMRI, van Hiele, primary school.

Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory

The aims of this analysis are to explain the level of thinking of grade VIII students at SMP Negeri 1 Talang Ubi in solving Pythagorean Theorem questions based on Van Hiele's theory. The research approach used in this analysis is descriptive qualitative case study research. The subjects of this research were three students of grade VIII of SMP Negeri 1 Talang Ubi, South Sumatera Indonesia. The three students were chosen based on their test answers on the Pythagorean Theorem material, with one being a high-ability student, one being a medium-ability student, and one being a low-ability student. The study's data collection techniques included assessments, interviews, and documentation. Techniques for data processing include data reduction, data presentation, and conclusion. The findings revealed that high-ability students could complete all four stages of Van Hiele's thinking: imagination, interpretation, informal deduction, and deduction. Moderate students achieved three levels of Van Hiele's thinking, including visualization, analysis, and informal deduction, while low-ability students achieved only one level of Van Hiele's thinking, visualization.