Van 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.

Effect of the Use of Virtual Reality (VR)-nased Geometry Virtual Lab Media with the Van Hiele Theory Approach to Student Learning Achievement at IVET University Semarang

Effect of the Use of Virtual Reality (VR)-nased Geometry Virtual Lab Media with the Van Hiele Theory Approach to Student Learning Achievement at IVET University Semarang

Junior High School Students’ Geometry Ability Based on Van Hiele Level’s Thinking

The ability to solve problems and logical thinking of students can be grown by studying Geometry. However, the reality in the field and some research in Indonesia shows that the geometric thinking ability of junior high school students is still relatively low. This study aims to examine the geometric thinking ability of junior high school students according to Van Hiele Theory. This research is a qualitative study with a descriptive approach, which was conducted in one of the junior high schools in Pringsewu Regency involving 28 students of class VIII. One student was selected to represent levels 1, 2, 3, and 4 Van Hiele as the research subject. Data collection was carried out using multiple choice tests and interviews. Data analysis techniques were conducted with data reduction, data presentation, and conclusion drawing stages. The data originality technique was carried out by triangulation, in which the researcher compared the test data with the results of student interviews. The results showed that level 1 students (28.57%) could recognize and name geometric shapes visually; level 2 students (14.28%) could study geometric shapes by observing and mentioning the properties of the shapes; level 3 students (7.14%) could make connections between various geometric shapes and detect general properties of certain geometry; level 4 students (3.57%) could distinguish and make simple conclusions about the shapes and properties of shapes.
 Kata kunci: berpikir geometri, level van hiele, siswa SMP.

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

Examination of 9th Graders' Levels of Geometric Thinking

Robust understanding of geometry is important for students’ future studies in mathematical sciences, many careers, and for understanding the world around them. Therefore, the aim of this study was to understand the geometric thinking levels of 9th graders in Ghana before they enter the Senior High School. This study used the van Hiele theory (Van Hiele-Geldof, 1957) to understand geometric thinking levels of 400 9th graders in western Ghana. These students were given the van Hiele Geometry Test (VHGT) developed by Usiskin (1982). The results showed that 56.2% of 9th graders demonstrated thinking at the pre-visualization level, 30.75%of the graders attained level 1(visualization), 12.5% reached level 2 and only 0.5% demonstrated level 3 thinking. These findings indicate that students are struggling to meet the Ministry of Education’s curriculum standards. Additional analysis points to reasoning about properties of geometric figures using definitions and informal deductive reasoning, instead of relying on visual characteristics of diagrams as a specific obstacle for students. Recommendations are made for improving the teaching and learning geometry based on our findings.

Using the Van Hiele Theory to Explain Pre-Service Teachers’ Understanding of Similarity in Euclidean Geometry

Helping learners to develop a solid grasp of geometric concepts poses a challenge for teachers. Therefore, it is important that teachers have a sound understanding of the geometry they teach. The aim of this qualitative study was to explore pre-service teachers’ (PST’s) understanding of the concept of similarity in Euclidean geometry and to use van Hiele’s theory to explain misconceptions evidenced by the PSTs. Data in this study were collected from 34 first-year PSTs studying for a Bachelor of Education degree in high school mathematics. The authors analysed the written responses to a 13-item worksheet and also conducted interviews with seven of the participants. The analysis of the data was guided by van Hiele’s theory which was used to identify misconceptions amongst PST’s who had not yet developed the appropriate reasoning skills linked to particular van Hiele levels of geometric thought. It was found that these students used reasoning that is characteristic of the elementary levels to make judgments. Many PST’s faced challenges with similarity notation and the process of proving the similarity between two figures. This study recommends that PST’s should be given more opportunities to connect visual and analytic representations of similarity.

Virtual reality-based virtual lab product development in developing students' spatial abilities using the van hiele theory approach

Virtual reality-based virtual lab product development in developing students' spatial abilities using the van hiele theory approach

Kinds of Mathematical Thinking Addressed in Geometry Research in Schools: A Systematic Review

Geometry is one of the content of mathematics which in many studies is associated with students' thinking abilities, such as critical thinking and reasoning abilities or others..This study aims to conduct a systematic review of the geometry research in school for identifying the types of mathematical thinking and their interconnections. We searched the Scopus database for articles published from 2003 to 2023 using relevant keywords. We applied the PRISMA method to select and evaluate the studies or articles based on the empirical data. We retrieved and evaluated data from the studies on the various styles of mathematical thinking evolved. Out of 166 titles that were initially obtained, only 10 titles passed the five stages of the systematic review protocol process. We identified 10 types of mathematical thinking that were discussed in the context of learning geometry at school: Creative Mathematical Reasoning (CMR), Computational thinking, Geometric reasoning, Geometric thinking van hiele theory, Geometric thinking (3D geometric thinking with representations), 3D geometry thinking, Visuo spatial reasoning, Geometry Spatial Reasoning, mathematical creative reasoning (MCR), and Inductive reasoning. We also found some connections of literature between these types of mathematical thinking, such as CMR and MCR, Geometric reasoning and Geometric thinking, and Visuo spatial reasoning and Geometry Spatial Reasoning. This systematic review provides an overview of the current state of research on geometry and reasoning in school mathematics and reveals some gaps and directions for future study. It also has implications for teachers who want to enhance their students’ mathematical thinking skills in geometry by exposing them to different types of mathematical thinking and their connections.

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.

Development of Geometry Learning Devices According to Van Hiele Theory and Wingeom Assisted Guided - Discovery Learning Model

Development of Geometry Learning Devices According to Van Hiele Theory and Wingeom Assisted Guided - Discovery Learning Model

Analysis of Changes in Robot Activity Levels in Mathematics Classes Based on Van Hiele Theory

This study designed robot programming classes toward mathematical concepts and curriculum to introduce robotics, a representative technology of the Fourth Industrial Revolution era, into the mathematics classroom, and analyzed the changes in students’ van Hiele levels. This study presented the robot activity levels (RLs) per the van Hiele levels of geometric thinking (VLs), and applied each RL to the class’s design, including tasks. The students’ learning process and class results were analyzed to ascertain whether their VL increased. The class was conducted with gifted middle school students, and utilized LEGO Mindstorms EV3, an extensively used educational robot. While performing RL based tasks, students sequentially completed tasks RL1~RL4. This study focused on the task performance process of VL3 students to investigate how they transition to a RL beyond their VL. As students performed the five tasks designed to help them transition from VL3 to VL4, reflecting the rise in the van Hiele levels of geometric thinking, they gradually progressed through the active inquiry and finally reached VL4 by completing RL4 tasks.

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

Passing the exam and not mastering the material in geometry

It is a common assumption that taking a mathematics course and passing the exam means that one has mastered the course requirements and gained a sufficiently deep understanding of the course material. According to the communication part of the Van Hiele Theory, if someone does not reach the expected entry-level, they won’t be able to develop during the course. In our research, we investigated this contradiction in the field of geometry. We examined this phenomenon with mathematics major and pre-service mathematics teacher students during their first geometry course.