scholarly journals Analisis Berpikir Siswa dalam Memecahkan Masalah Dimensi Tiga Berdasarkan Van Hiele

2021 ◽  
Vol 1 (2) ◽  
pp. 137
Author(s):  
Amaliyatul Indah ◽  
Erfan Yudianto ◽  
Titik Sugiarti ◽  
Tri Murniawati
Keyword(s):  
Problem Solving ◽  
Three Dimensional ◽  
Thought Process ◽  
Dimensional Problem ◽  
Research Subjects ◽  
Van Hiele ◽  
Visualization Analysis ◽  
Learning Mathematics ◽  
Building Information ◽  
Qualitative Descriptive

In learning mathematics, innovation is still needed to make mathematics more easily understood by students, especially in the field of geometry. This becomes interesting when examined and is associated with van Hiele's level of geometrical thinking which is modified by Polya's problem solving steps. This study aims to determine the thought process of vocational students majoring in Modeling Design Engineering and Building Information in solving three dimensional problems. This type of research is a qualitative descriptive study. The research subjects are students of pre-visualization, visualization, analysis, and informal deduction level. The research subjects worked on the three dimensional problem test and were interviewed. The results obtained are pre-visualization level students fulfilling several indicators at the visualization level, students at the visualization and analysis level meet all indicators at their respective levels, while informal deduction level students are unable to meet one indicator when implementing a plan that is having another way of solving problems. This can be seen from the results of problem solving given and interviews conducted on research subjects. Kata kunci: Berpikir, Pemecahan Masalah, Dimensi Tiga, Van Hiele

scholarly journals Problem Solving Geometry of Visualization, Analysis, and Informal deduction subject based on SOLO Taxonomy

2018 ◽  
Vol 7 (2) ◽  
Author(s):  
Asep Rosadi ◽  
Siti M. Amin ◽  
Raden Sulaiman
Keyword(s):  
Problem Solving ◽  
Research Subjects ◽  
Solo Taxonomy ◽  
Concept Understanding ◽  
Visualization Analysis ◽  
Thinking Ability ◽  
Qualitative Descriptive ◽  
Geometry Problem ◽  
Data Collection Technique ◽  
Geometry Analysis

Problem solving is a way which will be conducted someone by employing acquired skills, knowledge, and understanding in order to solve certain problem. Problem solving stages which attained in this research is according to Polya which encompasses comprehending problem, arranging plan completion, and rechecking the result. Mathematics concept understanding is required in order to solve the problem. SOLO Taxonomy classifies the subject’s ability of solving problem into five different level, prestructural, unistructural, multistructural, relational, and extended abstract. The aim of this research is to describe geometry problem solving of visualization, analysis and informal deduction according to SOLO Taxonomy. Additionally, qualitative descriptive method is used to analyze the data. Subjects of this research are subjects who possess high mathematics thinking ability of visualization geometry, analysis and informal deduction. Besides, the type of data collection technique uses problem solving geometry test and interview. According to the result of research, subjects who possess in visualization geometry thinking level to solve the problem tend to use the aspect of unistructural level of SOLO Taxonomy. Then, subjects with analysis geometry thinking level to solve the problem mostly use multistructurallevel of SOLO Taxonomy. Lastly, subjects who own informal deduction geometry thinking level to solve the problem apparently use relational level of SOLO Taxonomy.

scholarly journals ANALISIS KEMAMPUAN PEMECAHAN MASALAH BERDASARKAN TEORI KRULIK DAN RUTNICK DALAM MENGERJAKAN SOAL OLIMPIADE OLEH SISWA SMP

2018 ◽  
Vol 1 (1) ◽  
pp. 42
Author(s):  
Trimahesti Trimahesti ◽  
Kriswandani Kriswandani ◽  
Novisita Ratu
Keyword(s):  
Problem Solving ◽  
Sampling Technique ◽  
Research Subjects ◽  
Purposive Sampling ◽  
Mathematics Problem Solving ◽  
Descriptive Research ◽  
Extend Abstract ◽  
Qualitative Descriptive ◽  
The Subject ◽  
Mathematics Problem

Abstrak: Penelitian ini adalah penelitian deskriptif kualitatif, yang bertujuan untuk mengetahui kemampuan pemecahan masalah matematika dalam mengerjakan soal olimpiade SMP bagi siswa kelas IX SMP N 8 Salatiga. Subjek penelitian terdiri dari 4 siswa yang dipilih dengan teknik purposive sampling. Berdasarkan hasil tes dan wawancara diketahui semua subjek tidak memenuhi kelima tahap Krulik & Rudnick pada soal nomor 1. Pada langkah awal tahap membaca dan berfikir (read and think) subjek  telah melakukan kesalahan dalam memahami soal/masalah. Sedangkan untuk soal nomor 2 hanya 1 subjek yang tidak mampu melewati tahap kelima pada tahap teori Krulik dan Rudnick yaitu refleksi dan pengembangan (reflect and extend). Abstract:  This is a qualitative descriptive research. The purpose of this research is to know the ability of mathematics problem solving in doing Junior High Olympics for students of grade IX SMP N 8 Salatiga. The research subjects consist of 4 students selected by purposive sampling technique. Based on the results of tests and interviews are known that all subjects did not meet the five stages of Krulik & Rudnick in question number 1. In the first step of reading and thinking phase, the subject has made a mistake in understanding the problem. Meanwhile, in question number 2 only 1 subject who is not able to pass the fifth stage at the stage of Krulik and Rudnick theory, that is reflect and extend.

scholarly journals STUDI KASUS: ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL DI SMA NEGERI 1 CERME GRESIK JAWA TIMUR

MATHEdunesa ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 529-539
Author(s):  
Heni Baskorowati
Keyword(s):  
Problem Solving ◽  
Cognitive Factors ◽  
Research Subjects ◽  
Story Problem ◽  
Interview Methods ◽  
Qualitative Descriptive ◽  
Descriptive Approach ◽  
Written Test ◽  
Location Type ◽  
Analysis Errors

Abstrak Penelitian ini didasari atas banyaknya kesulitan yang dihadapi siswa dalam mengerjakan soal cerita matematika menyebabkan terjadinya kesalahan. Kesalahan siswa harus segera dipecahkan agar tidak terulang dan mempengaruhi hasil belajar. Pemecahan ini dapat dilakukan dengan cara mengetahui dimana letak kesalahan yang terjadi, jenis kesalahan yang dilakukan dan faktor penyebabnya. Penelitian ini menggunakan metode deskriptif-kualitatif. Penelitian ini bertujuan untuk menganalisis letak dan jenis kesalahan serta faktor yang menyebabkan kesalahan yang dilakukan siswa menggunakan tahapan pemecahan pemecahan masalah Polya. Teknik pengambilan data menggunakan metode tes tulis dan wawancara. Tes tulis yang diberikan berupa soal cerita matematika pada materi sistem persamaan linear tiga variabel. Subjek penelitian yaitu 3 siswa dipilih dari 36 siswa XI IPA4 SMA Negeri 1 Cerme. Subjek penelitian dipilih berdasarkan banyaknya kesalahan yang dilakukan pada saat tes tulis, kemudian diwawancarai. Hasil penelitian mengindikasikan bahwa dalam mengerjakan soal cerita dengan materi sistem persamaan linear tiga variabel, terjadi kesalahan pada masing-masing indikator dalam tahapan pemecahan masalah Polya, di antaranya (1) kesalahan dalam pemahaman soal, (2) kesalahan dalam perencanaan penyelesaian, (3) kesalahan dalam pelaksanaan rencana penyelesaian, dan (4) kesalahan dalam pemeriksaan kembali. Siswa melakukan kesalahan dalam bentuk kesalahan konsep, kesalahan prinsip, dan kesalahan operasi. Faktor penyebab kesalahan siswa yaitu tidak memahami makna soal, lemahnya pemahaman konsep, tidak fokus dalam pengerjaan, lingkungan dan cara belajar siswa. Dari letak, jenis dan faktor penyebab kesalahan yang diperoleh pada penelitian ini dapat digunakan oleh pendidik sebagai pertimbangan dalam merencanakan pembelajaran agar kesalahan serupa tidak terulang. Kata kunci: analisis, kesalahan, pemecahan masalah Polya, soal cerita, spltv. Abstract This research is motivated by the number of difficulties students faced while solving mathematics story problem which causes errors. Student’s error needs to be solved immediately to not affecting the learning result. To solve them, we needs to identified location of the errors occur, types of mistakes are made, and what are the causes. This research use a qualitative-descriptive approach. This research aims to analyze the location, type of errors, and the causes using Polya’s problem-solving steps. To collect data, this research using written test and interview methods. The written test is in the form of mathematics story problem involving the linear equation of three variables. The research subjects were 3 of 36 students from class 11th Science 4 State Highschool of Cerme. Research subject is chosen based on the number of errors made during the written test then interviewed. The result of this research shows that in order to solve problems, errors occurs on each Polya’s problem-solving steps indicators, such as (1) errors in understanding the problem, (2) errors in devising a plan, (3) errors in carrying out the plan, and (4) errors in looking back. The type of errors made by students were concept error, principle error, and operation error. The factors are not understand the problem, low concept, not focus, cognitive factors, and their learning environment. The result of this research can be used for teachers to make their teaching plan to avoid the same error occurs. Keywords: analysis, errors, story problems, Polya’s problem-solving, spltv.

scholarly journals Pembelajaran Matematika dengan Media Software GeoGebra Materi Dimensi Tiga

2021 ◽  
Vol 10 (3) ◽  
pp. 449-460
Author(s):  
Syarifatul Maf’ulah ◽  
Suci Wulandari ◽  
Lia Jauhariyah ◽  
Ngateno Ngateno
Keyword(s):  
Learning Outcomes ◽  
Learning Process ◽  
Three Dimensional ◽  
Student Learning Outcomes ◽  
Learning Objectives ◽  
Core Material ◽  
The Core ◽  
Learning Mathematics ◽  
Before And After ◽  
Qualitative Descriptive

AbstrakKesulitan siswa dalam memahami materi dimensi tiga perlu diatasi. Misalnya dengan menggunakan bantuan media pembelajaran yang tepat seperti  Software GeoGebra. Penelitian bertujuan mendeskripsikan proses pembelajaran dan hasil belajar matematika menggunakan software GeoGebra. Penelitian deskriptif kualitatif ini terdiri dari 19 subjek kelas XII IPS salah satu MA swasta di Jombang. Instrumen penelitian yaitu lembar observasi, tes dan dokumentasi. Berdasarkan hasil penelitian diketahui bahwa proses pembelajaran dengan media software GeoGebra diawali dengan menyampaikan tujuan pembelajaran dan mengingatkan materi sebelumnya, menjelaskan unsur-unsur bangun ruang, memperkenalkan software GeoGebra, menjelaskan fungsi masing-masing menu, menjelaskan materi dimensi tiga menggunakan software GeoGebra, dan memberikan penguatan serta menyimpulkan inti materi yang telah dipelajari. Hasil penelitian lainnya menunjukkan bahwa terdapat perbedaan hasil belajar siswa yang signifikan antara sebelum dan sesudah pemanfaatan GeoGebra. Software GeoGebra cocok digunakan untuk membantu siswa memahami materi dimensi tiga dengan baik. Learning Mathematics with GeoGebra Software Media with Three-Dimensional MaterialAbstractStudents' difficulties in understanding three-dimensional material need to be overcome. For example, by using the help of appropriate learning media such as GeoGebra Software. The purpose of this research was to describe the learning process and learning outcomes of mathematics using GeoGebra software. This qualitative descriptive study consisted of 19 subjects of class XII IPS, one of the private MA in Jombang. The research instruments are observation sheets, tests, and documentation. Based on the results of the study, it is known that the learning process using the GeoGebra software media begins with conveying the learning objectives and reminding the previous material, explaining the elements of spatial structure, introducing the GeoGebra software, explaining the function of each menu, explaining the Three Dimensional material using the GeoGebra software, and closing with providing reinforcement and conclude the core material that has been studied. The results of other studies indicate that there are significant differences in student learning outcomes between before and after the use of GeoGebra. GeoGebra software is suitable to help students understand three-dimensional material well.

scholarly journals Analisis Proses Pemecahan Masalah Geometri Berdasarkan Teori Van Hiele di Sekolah Menengah Atas

2018 ◽  
Author(s):  
Marlinda Indah Eka Budiarti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Qualitative Approach ◽  
School Students ◽  
Van Hiele ◽  
Visualization Analysis ◽  
Van Hiele Theory ◽  
Level Of Thinking ◽  
Language Question

This study aims to explore and describe the process of problem solving geometry reach the level of visualization, analysis and informal deduction based on the Van Hiele theory. This type of research is descriptive explorative and qualitative approach. Subject of the study was obtained from the high school students who were tested on the level of Van Hiele geometry. Each level of visualization, analysis and informal deduction taken two learners who can communicate well. The results of this study indicate that solving problems in geometry learners who attained think visualization is to identify problems and set goals using the language question. Troubleshooting on the geometry of learners who attained think theanalysis is through fifth troubleshooting step IDEAL using their own language, but less systematic. Troubleshooting on the geometry of students who reach a level of thinking is through the informal deduction fifth troubleshooting step IDEAL by systematically using their own language.

scholarly journals Profil Berpikir Kreatif Siswa SMP dalam Menyelesaikan Masalah Matematika Kontekstual Berdasarkan Perbedaan Tipe Kepribadian Introvert dan Ekstrovert

2020 ◽  
Vol 8 (2) ◽  
pp. 165
Author(s):  
Selvia Desi Ekayana ◽  
Didik Hermanto ◽  
Moh Affaf
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Female Students ◽  
Personality Test ◽  
Research Subjects ◽  
Test Instrument ◽  
Qualitative Descriptive ◽  
Data Validity ◽  
Routine Procedures ◽  
Problem Solving Task

<p>This research is a qualitative descriptive study. The research subjects consisted of female students with introverted personality and female students with extrovert personality. The instruments used in this study consisted of a personality test instrument, interview guidelines, and problem solving tasks (TPM). Data collection was carried out by means of contextual problem solving task-based interviews. The data validity test was conducted by means of time triangulation. The data analysis used refers to the 3 flows of data analysis from Milles &amp; Huberman, namely data reduction, data presentation and conclusion drawing. The results of this study can be concluded as follows. Introverted students mentioned all the information contained in the questions correctly in a halting voice, while extrovert students mentioned all the information contained in the questions correctly and smoothly. The two students solved the questions in two ways even though the methods used were routine procedures that were commonly used by students. In re-examining the results obtained, the two students matched the results obtained with the steps in one method with another method.<strong></strong></p>

scholarly journals Profil Kemampuan Pemecahan Masalah Matematika Pada Materi Segitiga Berdasarkan Teori Van Hielle

2020 ◽  
Vol 9 (3) ◽  
pp. 487-498
Author(s):  
Viyang Firnanda ◽  
Fika Widya Pratama
Keyword(s):  
Problem Solving ◽  
Learning Outcomes ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Structured Interview ◽  
Research Subjects ◽  
Van Hiele ◽  
Analysis Technique ◽  
Collection Data ◽  
Main Instrument

AbstrakMasalah dalam penelitian ini yaitu kemampuan pemecahan masalah siswa yang rendah pada materi segitiga. Penelitian ini bertujuan untuk mendeskripsikan profil kemampuan pemecahan masalah matematika pada materi segitiga berdasarkan Teori Van Hiele. Jenis penelitian ini adalah deskriptif kualitatif. Instrumen utama adalah peneliti itu sendiri, dibantu instrumen pendukung yang terdiri dari 3 soal tes berupa soal uraian sesuai dengan indikator Van Hiele dan pedoman wawancara yang semi terstruktur.Teknik analisis data menggunakan 4 tahapan yaitu pengumpulan data, reduksi data, penyajian data, dan penarikan kesimpulan. Waktu penelitian dilakukan pada tanggal 13 November sampai 14 Desember 2019 semester ganjil tahun ajaran 2019/2020. Subjek penelitian sebanyak 3 siswa kelas VIII SMP Negeri 2 Salatiga dengan hasil belajar matematika tinggi, sedang, dan rendah. Data yang terkumpul dianalisis menggunakan tahap berpikir Van Hiele. Hasil penelitian ini menemukan bahwa siswa dengan hasil belajar matematika tinggi mencapai tahap 0 (visualisasi). Siswa dengan hasil belajar matematika sedang mampu mencapai tahap 1 (analisis). Siswa dengan hasil belajar matematika rendah mencapai tahap 0 (visualisasi). Kesimpulan penelitian ini adalah tahap berpikir Van Hiele pada setiap siswa berbeda-beda berdasarkan kemampaun pemecahan yang dimiliki setiap siswa. .  Profile of Mathematical Troubleshooting Abilities In The Triangle Material Based On Van Hiele TheoryAbstractThe problem in this study is students' problem-solving ability is low on triangle material. This study aims to describe the profile of mathematical problem-solving abilities on a triangular material based on the Van Hiele's Theory. This type of research is descriptive qualitative. The main instrument was the researcher himself, assisted by supporting instruments consisting of 3 test questions in the form of a matter of description following Van Hiele indicators and semi-structured interview guidelines. The data analysis technique uses 4 stages, data collection, data reduction, data presentation, and drawing conclusions. The time of the research studies conducted from November 13 until December 14 2019 on the odd semester of the 2019/2020 year. Research subjects were 3 students of class VIII of SMP Negeri 2 Salatiga with high, medium, and low mathematics learning outcomes. The collected data were analyzed using Van Hiele's thinking stage. The results of this study found that students with high mathematics learning outcomes reached stage 0 (visualization). Students with medium mathematics learning outcomes were able to reach stage 1 (analysis). Students with low mathematics learning outcomes reached stage 0 (visualization). The conclusion of this study is that Van Hiele's thinking stage for each student is different based on the solving ability of each student

scholarly journals Analisis Minat Belajar Matematika Berbasis Daring Pada Siswa Sekolah Dasar Di Kelas Rendah

2020 ◽  
Vol 3 (2) ◽  
pp. 153
Author(s):  
Dhea Nada Oktavia ◽  
Astri Sutisnawati ◽  
Luthfi Hamdani Maula
Keyword(s):  
Learning Process ◽  
Mathematics Learning ◽  
Research Subjects ◽  
Study Approach ◽  
Learning Mathematics ◽  
Concrete Objects ◽  
Qualitative Descriptive ◽  
Quota Sampling ◽  
Learning Interest ◽  
Descriptive Method

This study aims to analyze the online mathematics learning interest of students in grade 3.2 at SDN Suryakencana CBM. This type of research uses a basic theory study approach with a qualitative descriptive method, because in examining problems regarding the interest in learning mathematics online. In practice, it uses interview guidelines and documentation of student interviews to find out the extent of interest in online-based mathematics learning. The research subjects used Quota Sampling, because the subjects studied were groups that had been determined according to the quota in class 3.2 SDN Suryakencana CBM. The results obtained from this study were to determine how students' interest in learning mathematics based online, in practice the teacher applied various methods and strategies in the form of making videos with concrete objects in order to make it easier for students when the learning process took place at home online. However, there are some students who do not understand when the online-based learning process takes place, which is sent by the teacher via the WhatsApp application, because the learning is ineffective and the lack of support from the students 'parents has reduced students' interest in learning mathematics in grade 3.2 SDN Suryakencana CBM.

scholarly journals ANALISIS PEMECAHAN MASALAH GEOMETRI BERDASARKAN TINGKAT BERPIKIR TEORI VAN HIELE DAN GENDER

2020 ◽  
Vol 3 (1) ◽  
pp. 28-37
Author(s):  
Marlinda Indah Eka Budiarti ◽  
Faisal Eka Mahendra
Keyword(s):  
Problem Solving ◽  
Active Role ◽  
Qualitative Approach ◽  
Problem Solving Skills ◽  
Van Hiele ◽  
Visualization Analysis ◽  
Language Problem ◽  
Geometry Problem ◽  
The Subject ◽  
Geometry Problem Solving

Abstract: Due to difficulties in learning geometry, the teacher plays an important and active role in creating students who have good problem solving skills. The teacher also has to test the level of geometrical thinking of students based on Van Hiele's theory to find out the students understanding about geometry material, so the teacher can overcome the difficulties of students in learning geometry. This research is designed to explore and describe the process of geometry problem solving based on Van Hiele's theory. Therefore this research used descriptive exploratory. It used qualitative approach. The subject of this research is limited to University of Muhammadiyah Sorong students which obtained the level of visualization, analysis, informal deductive and will be analyzed based on the gender. Data of this research is 1) Geometry Van Hiele Test; 2) Problem Solving Test; 3) Interview. The conclusion of this research is: 1) At the level of male visualization thinking is to identify problem and determine goal using language problem. While at the level of women visualization, it reached on determining goal, ; 2) the level of male analysis thinking is able to pass five steps in problem solving by using own language but are less systematic. While level of female analysis thinking is able to pass five steps in problem solving systematically; 3) level of male deductive formal thinking is to pass five steps problem solving systematically and using own language. While level of female deductive formal thinking is able to pass five steps problem solving systematically and explaining by using own language.

scholarly journals Pemecahan Masalah Matematika Siswa Al-Fityan School Gowa ditinjau dari Gender

2020 ◽  
Vol 12 (2) ◽  
pp. 38-48
Author(s):  
Andi Aras ◽  
Sartika Arifin ◽  
Fawziah Zahrawati B
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Female Students ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Learning Mathematics ◽  
Ability Tests ◽  
Level Of Thinking ◽  
Academic Year

Problem solving is the highest level of thinking which students need in learning mathematics. This study aims to describe students' mathematical problem solving abilities in terms of gender’s perspective. The research subjects consisted of four students of Class X at SMAIT Al-Fityan School Gowa in the 2018/2019 academic year, consisting of two male students and two female students. The research phase begins with the selection of research subjects determined based on equivalent problem solving ability tests. After selecting the subject, the next phase is giving assignment problem solving, quadratic equations, and interviews. The validity of the data is done by using triangulation of sources by twice interviews, giving tests to students who are different but have the same ability and the same sex in order to produce consistent data. The results showed that female students had better mathematical problem-solving abilities compared to male students based on Polya Steps: 1) understanding the problem, 2) planning the solution, 3) solving the problem, and 4) looking back at the answers.

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