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JOHME: Journal of Holistic Mathematics Education
Published by Universitas Pelita Harapan
ISSN : 25986759     EISSN : 25986759     DOI : -
Core Subject : Education,
Education Mathematics
JOHME is an online scientific journal designated as a medium for communication among redeemed Christian scholars who practice the integration of faith and learning based on a broader and holistic understanding of the Bible's Grand Narrative as the ultimate telos of all education curriculum, including mathematics education. It is committed to publishing high quality articles about research, teaching, philosophy, and curriculum development which show holistic approaches in mathematics education.
Arjuna Subject : -
Articles 228 Documents
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KEMAMPUAN BERPIKIR KRITIS SISWA KELAS VIII PADA PEMBELAJARAN MATEMATIKA MELALUI MODEL PEMBELAJARAN BERBASIS MASALAH [THE CRITICAL THINKING ABILITIES OF GRADE 8 MATHEMATICS STUDENTS USING THE PROBLEM-BASED LEARNING MODEL] Simatupang, Taruli; Appulembang, Oce
JOHME: Journal of Holistic Mathematics Education Vol 6, No 2 (2022): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v6i2.4726

Abstract

Based on PISA research, Indonesian students' mathematical abilities are still below average with one of the assessment indicators being critical thinking skills. This was also found by the authors at the observed schools. The average percentage of students' critical thinking skills in grade 8 is 36% or at less intervals. Meanwhile, the problem-based learning model (PBM) is seen as effective in helping students' critical thinking skills. Thus, the purpose of this study is to describe the critical thinking skills of grade 8 students using the problem-based learning model. The research method used is descriptive qualitative. The conclusion of this paper shows that students' critical thinking skills using the PBM model have an average percentage of 65% for the three indicators. The characteristics of PBM by providing contextual problems can train students' critical thinking power. The stages in PBM make students actively involved in learning by asking various questions as well as in group discussions in designing problem solving. In Christian education, students' critical thinking skills are trained to be able to understand God's truth. Through this, students are expected to live responsibly. Suggestions that can be given are to train students' critical thinking skills in schools through appropriate learning models or approaches. In the implementation of PBM, it is better to pay attention to the estimated time in each stage.BAHASA INDONESIA ABSTRAK: Berdasarkan penelitian PISA, kemampuan matematika siswa Indonesia masih di bawah rata-rata dengan salah satu indikator penilaiannya ialah kemampuan berpikir kritis. Hal ini juga ditemukan oleh penulis di sekolah yang diobservasi. Persentase rata-rata kemampuan berpikir kritis siswa kelas VIII ialah 36% atau pada interval kurang. Sementara itu, model pembelajaran berbasis masalah (PBM) ditinjau efektif dalam membantu kemampuan berpikir kritis siswa. Sehingga, tujuan penelitian ini ialah untuk memaparkan kemampuan berpikir kritis siswa kelas VIII melalui model pembelajaran berbasis masalah. Metode penelitian yang digunakan adalah kualitatif deskriptif. Kesimpulan penulisan ini menunjukkan bahwa kemampuan berpikir kritis siswa melalui model PBM memiliki persentase rata-rata untuk ketiga indikatornya sebesar 65%. Karakteristik PBM dengan pemberian masalah kontekstual dapat melatih daya pikir kritis siswa. Tahapan dalam PBM membuat siswa terlibat aktif dalam pembelajaran dengan mengajukan berbagai pertanyaan juga dalam diskusi kelompok dalam merancang penyelesaian masalah. Dalam pendidikan Kristen, kemampuan berpikir kritis siswa dilatih untuk dapat memahami kebenaran Allah. Melalui hal tersebut, siswa diharapkan hidup bertanggung jawab. Saran yang dapat diberikan adalah melatih kemampuan berpikir kritis siswa di sekolah melalui model atau pendekatan pembelajaran yang sesuai. Dalam pelaksanaan PBM, sebaiknya memperhatikan estimasi waktu dalam setiap tahapannya.
PENGGUNAAN GEOGEBRA DALAM MENGEMBANGKAN KEMAMPUAN VISUAL THINKING MATEMATIS SISWA PADA PEMBELAJARAN MATEMATIKA SECARA DARING [USING GEOGEBRA TO DEVELOP STUDENTS’ MATHEMATICAL VISUAL THINKING ABILITY IN ONLINE MATHEMATICS LEARNING] Subakti, Mega Prana; Listiani, Tanti
JOHME: Journal of Holistic Mathematics Education Vol 6, No 2 (2022): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v6i2.2823

Abstract

Mathematics is a subject which uses mathematical symbols, such as numbers and graphs, that some students find difficult to learn. To understand it, mathematical visual thinking skills are needed. In one of the schools in Kupang, the students’ mathematical visual thinking ability is low. Many students cannot represent problems with mathematical symbols. To solve this, the teacher uses GeoGebra as a teaching aid. GeoGebra is a software program that has many advantages as a tool for learning mathematics. GeoGebra can be used effectively with the various features it has. The purpose of this research is to describe how to use GeoGebra and what features can be used in GeoGebra to develop mathematical visual thinking abilities. This research was conducted in grade 10 at one of the schools in the city of Kupang. The method of this reseacrh is qualitative descriptive. The result of this research is that there are several GeoGebra features that can help learning, including point, line, algebra input, and pen. These features can be used easily by just clicking on or writing according to the instructions on the GeoGebra page. The implication of this research is that teachers still have to teach students how to use this tool wisely so that its advantages can be maximally utilized, moreover, they can glorify God through using GeoGebra. The conclusion is that GeoGebra is a tool that can help in developing mathematical visual thinking abilities because its features can enable indicators of mathematical visual thinking abilities.BAHASA INDONESIA ABSTRACT: Matematika merupakan mata pelajaran yang identik dengan simbol-simbol matematis seperti angka-angka hingga grafik-grafik yang bisa membuat siswa merasa kesulitan. Untuk memahaminya, dibutuhkan kemampuan visual thinking matematis. Namun masalah yang terjadi pada salah satu sekolah di Kupang, kemampuan visual thinking matematis siswa masih kurang. Banyak dari siswa yang tidak bisa merepresentasikan persoalan-persoalan ke dalam simbol matematis. Untuk memecahkan masalah tersebut, guru menggunakan GeoGebra sebagai media pembelajaran. GeoGebra merupakan aplikasi yang punya banyak kelebihan dalam membantu pembelajaran matematika. GeoGebra dapat digunakan secara efektif dengan berbagai fitur yang dimilikinya. Tujuan penulisan ini adalah untuk mendeskripsikan bagaimana cara menggunakan GeoGebra dan apa saja fitur yang dapat digunakan dalam GeoGebra untuk mengembangkan kemampuan visual thinking matematis.Penelitian ini dilakukan di kelas X pada salah satu sekolah yang ada di kota Kupang Penulisan ini menggunakan metode deskriptif kualitatif. Hasil penulisan ini adalah ada beberapa fitur-fitur yang dapat membantu pembelajaran, di antaranya adalah point, line, input algebra, dan pen. Implikasi penelitian ini yaitu guru tetap harus mengajarkan kepada siswa agar dapat menggunakannya dengan bijak sehingga dapat dimanfaatkan secara maksimal, bahkan dapat memuliakan Allah melalui GeoGebra. Kesimpulannya adalah GeoGebra merupakan alat yang dapat membantu dalam mengembangkan kemampuan visual thinking matematis, karena fitur yang dimilikinya dapat mengampu setiap indikator visual thinking matematis.
INVESTIGATING SOCIAL SCIENCE STUDENTS’ UNDERSTANDING OF LIMITS THROUGH THE LENS OF THE PROCEPT THEORY Moru, Eunice Kolitsoe; Essien, Anthony A
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.5900

Abstract

The idea of limit is central to both differential and integral calculus. It is also applicable in other disciplines such as physics, engineering, economics, etc.  Because of this, conducting a study to further improve teachers’ knowledge about how social science students (whose major is economics) understand limits is of utmost importance. The reported study sought to find out how students understand the idea of limit with regard to the use of its symbolism. Sixty first year university students in the social sciences acted as the sample of the study. An adapted procept theory was used to analyse data obtained from these students through their solution to tasks on limit and explanations on their thinking and solution processes. Qualitative analysis of data indicated that some students understood the limit symbolism  to be a procept while others did not. When solving the mathematical tasks, students’ difficulties emanated from: (i) their inability to coordinate the two processes,  and , or  and  (ii) the proper use of the limit operator,  and (iii) inability to realise that the simplification has led to the same response as they could not see the relationship between the results. This resulted in misalignment between their reasoning and their choice of answers where justification was required. The results also show that limits at infinity were more problematic than those of the form  as where a is a constant. Students’ choice of method used depended mostly on how much efficient the method was in terms of saving time and not really on promoting understanding. The lesson learnt from the study is that when using the adjusted procept theory, the yes or no answers do not qualify to be used in concluding the level of thinking at which students are at. It is recommended that students be asked to show their working and also explain their answers so that the type of understanding that leads to their choices come to fore
RESEARCH ON STUDENTS' MATHEMATICAL ABILITY IN LEARNING MATHEMATICS IN THE LAST DECADE: A BIBLIOMETRIC REVIEW Muhammad, Ilham; Angraini, Lilis Marina
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6867

Abstract

Mathematical ability is a cognitive ability that needs to be developed in every student because the mathematical ability is closely related to solving problems that involve the relationship of numerical symbols with students' cognitive activities. This study aims to look at the description of previous research related to mathematical abilities in learning mathematics in the last decade using bibliometric analysis methods. The data taken from the Scopus database was refined so that it became 157 publications. The United States of America is the most influential country and has high cooperation with other countries in this field. The focus of this research is: 1) ICT, Augmented reality, Computational thinking, and university; 2) mathematical problems, pre-service teachers, and higher education: 3) mathematics abilities, mathematics literacy, and outcomes; 4) high mathematical ability, technology and critical thinking ability. The results of this study can be used as a reference for future researchers
THE IMPLEMENTATION OF PROJECT-BASED LEARNING MINI-RESEARCH TASKS ON STUDENTS' LEARNING OUTCOMES DURING THE PANDEMIC Listiani, Tanti; Dirgantoro, Kurnia
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6137

Abstract

Statistics for Research Education is an important course for students in the Faculty of Education. Serious problems are experienced by students learning statistics, one of them is because the learning outcomes are not optimal. To overcome this problem, a lecturer can provide mini-research tasks. Mini-research is one form of assignment from project-based learning. This research was descriptive qualitative research. The subjects in this study were students from Cohort 2019 who took Educational Research Statistics courses. Learning activities and mini-research assignments are handled fully online. By giving students a mini-research assignment, students can be encouraged to learn statistical theories and concepts. Through mini-research tasks, students can increasingly see the big picture and interrelationships between topics in this course. The positive responses can be seen from students’ reflections and results of the review given to the paper. The use of project-based learning with a mini-research task is an interesting idea and suitable for students. In addition to better student learning outcomes, students also become more conscious of the problems around them. Prospective teachers can learn to make research an upcoming provision when they enter the field of teaching.
USING THE REACT LEARNING MODEL TO REDUCE STUDENT ANXIETY IN LEARNING MATHEMATICS Sitorus, Martina Srimega; Saragih, Melda Jaya
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6216

Abstract

Mathematical anxiety is an emotional response to the entire mathematical activity that affects students' mathematical to psychological abilities. This anxiety is influenced by various factors, such as negative perspectives on mathematics, experiences of failing in learning mathematics, and others. Research data at one Christian High School in Tangerang shows that class X social studies students experience mathematical anxiety where students have difficulty concentrating, are restless, unconfident, and have headaches when learning mathematics. Anxiety affects students' self-confidence and makes the learning process not optimal, so it needs to be reduced. The selection of the REACT model as a solution to this problem leads to varied, contextual, and collaborative learning. The purpose of this writing is to find out the application of the REACT model in reducing the mathematical anxiety of X social studies students. The method used in the research is descriptive qualitative, where data is collected through questionnaires. The results show that the REACT model stages, namely relating, experiencing, applying, cooperating, and transferring, succeeded in reducing the anxiety of class X social studies students towards learning mathematics. During the application of the model, students are seen concentrating while studying, having confidence, daring to ask questions, and others. Applying the REACT model can be a solution for teachers to manage mathematical anxiety while leading students to realize their identity as imago dei who have been reconciled to God in Jesus Christ. Students are endowed with a Divine capacity to do God's work. Reflecting on the implementation of the REACT model, the author suggests recognizing the characteristics of each student the characteristics and collaborating the REACT model with other learning resources.
PRE-SERVICE TEACHERS' PERCEPTION OF THE USE OF GEOGEBRA IN TEACHING AND LEARNING GEOMETRY IN THE COLLEGES OF EDUCATION, GHANA Zutaah, Puotier; Ondigi, Samson Rosana; Miheso-O'Connor, Marguerite Khakasa
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6124

Abstract

The introduction of technology has given opportunities and made it easy for educators to utilize it in various ways, including in the field of education, as an instrument to support the teaching and learning of mathematics. GeoGebra is one of the mathematical software programs that can be effectively used in delivering mathematics lessons. GeoGebra is computer software that supports the teaching and learning of mathematics subjects, especially algebra, calculus, geometry, probability, and statistics. The objectives of this systematic analysis were to investigate pre-service teachers' perceptions and benefits of using GeoGebra to teach geometry. This study used a quantitative research design to review published articles from 2011 to 2021 related to the research objectives. This investigation purposefully sampled 17 published articles out of the over 200 articles found. The study used Google scholar, Google, and Sci Direct as the search engines to gather data using the keywords. The selected articles were validated using content analysis. This investigation selected the 17 articles for data analysis based on the research design, location, area of research, research focus and the type of technology applied. The findings of this study disclosed that pre-service teachers had the following perceptions regarding learning geometry with GeoGebra: GeoGebra enhances the teaching and learning of geometry, it helps learners to have positive perceptions concerning GeoGebra integration, GeoGebra improves learners' interest, motivation, and willingness to learn geometry. Also, it motivates learners to interact among themselves. Nevertheless, some benefits were identified as follows: GeoGebra increases students’ academic performance, develops learners' confidence in learning geometry, makes the learning of mathematics enjoyable, and helps learners to conceptualize abstract concepts in mathematics. Based on the findings of this study, it is concluded that GeoGebra is effective for teaching and learning geometry. This study recommends that mathematics educators should embrace GeoGebra software in the teaching and learning of geometry at the college level of education. Additionally, the Ministry of Education should enforce the integration of GeoGebra in the delivery of mathematics lessons. 
PENERAPAN METODE BERCERITA BAGI KEMAMPUAN NUMERASI SISWA USIA DINI DALAM PEMBELAJARAN TEMATIK [APPLICATION OF THE STORY METHOD FOR EARLY STUDENT NUMERATION ABILITY IN THEMATIC LEARNING] Sarwuna, Yostinawely; Ani, Yubali; Soesanto, Robert Harry
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6468

Abstract

Based on the results of observations made at a Christian Kindergarten in Tangerang, it was found that there was an unevenness in the numeracy abilities of early-age students. Some students already have the ability to count numbers 1 and 3, but some others do not. Therefore, it is necessary to introduce numeracy skills by the teacher so that students have an even numeracy ability. The purpose of writing this scientific work is to describe the application of the storytelling method to the numeracy skills of early-age students in thematic learning. The research method used is descriptive qualitative research method. Based on the results of the discussion, it was found that the application of the storytelling method was carried out in six stage’s that were closely related to the introduction of numeracy skills, namely making preparations before learning, checking readiness and providing motivation to students, actively involving students, telling stories with attention to language, developing, and checking student understanding.  Through the application of the six stages of the storytelling method in thematic learning it can help teachers to assess and confirm the level of numeracy abilities of early age students. The next suggestion is to pay attention to various indicators of numeracy skills that have not been studied and to pay attention to the time allocation in teaching so that the effectiveness of the six stages of the storytelling method can be assessed.BAHASA INDONESIA ABSTRACT: Berdasarkan hasil observasi yang dilakukan pada salah satu Taman Kanak-kanak Kristen di Tangerang ditemukan ketidakrataan kemampuan numerasi siswa usia dini. Beberapa siswa telah memiliki kemampuan membilang bilangan 1 dan 3 namun beberapa lainnya belum. Oleh sebab itu, diperlukan pengenalan kemampuan numerasi oleh guru agar siswa memiliki kemampuan numerasi yang merata. Tujuan penulisan karya ilmiah ini adalah memaparkan penerapan metode bercerita bagi kemampuan numerasi siswa usia dini dalam pembelajaran tematik. Metode penelitian yang digunakan adalah metode penelitian deskriptif kualitatif. Berdasarkan pemaparan hasil pembahasan ditemukan penerapan metode bercerita dilakukan dalam enam tahapan yang berkaitan erat dengan pengenalan kemampuan numerasi yaitu melakukan persiapan sebelum pembelajaran, mengecek kesiapan dan memberikan motivasi kepada siswa, melibatkan siswa secara aktif, bercerita dengan memperhatikan bahasa, melakukan pengembangan, dan mengecek pemahaman siswa. Melalui penerapan keenam tahapan metode bercerita dalam pembelajaran tematik dapat membantu guru untuk menilai serta mengkonfirmasi tingkatan kemampuan numerasi siswa usia dini.  Adapun saran selanjutnya adalah memperhatikan berbagai indikator kemampuan numerasi yang belum dikaji serta memerhatikan alokasi waktu dalam melakukan pengajaran sehingga keenam tahapan metode bercerita dapat dinilai keefektifannya.
PENERAPAN SISTEM AMONG SEBAGAI IMPLEMENTASI MERDEKA BELAJAR DALAM MENINGKATKAN KEAKTIFAN BELAJAR SISWA PADA PEMBELAJARAN DARING [IMPLEMENTING THE AMONG SYSTEM TO FOSTER INDEPENDENT LEARNING AND INCREASE STUDENT LEARNING ACTIVENESS DURING ONLINE LEARNING] Tampubolon, Yohanes Kasih Tua; Tamba, Kimura Patar
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.2843

Abstract

Student learning activeness is very important in the learning process. However, student learning activeness remains a problem at many schools. Students observed by researchers during the field practice programme had low activeness. Based on the results of the total percentage of student learning activeness observation sheets, 37% of the group belongs in the less active category. Students' learning activeness is influenced by the approach used by the teacher during the learning process. As an implementation of the independent learning concept, the Among learning approach provides freedom and space for students to be actively involved. The freedom concept certainly does not deviate from the correct understanding of a Christian perspective, which is freedom under the authority of God. Therefore, to overcome this problem, the researcher applied the Among system. The purpose of this paper is to determine the activeness of student learning in online informatics learning using the Among system. This research is descriptive qualitative research. The results showed that the students' learning activeness having implemented the Among system had increased. The researcher suggests that teachers need to first identify students’ existent situations and conditions before implementing the Among system due to its non-suitability in any context.BAHASA INDONESIA ABSTRACT: Keaktifan belajar siswa merupakan hal yang sangat penting dalam proses pembelajaran. Namun, keaktifan belajar siswa masih menjadi sebuah permasalahan di sekolah. Siswa yang diobservasi oleh peneliti saat menjalani program praktek lapangan memiliki keaktifan yang rendah. Berdasarkan hasil total persentase lembar observasi keaktifan belajar siswa yaitu sebesar 37% tergolong pada kategori kurang aktif. Pada dasarnya sikap keaktifan belajar siswa dipengaruhi oleh pendekatan yang digunakan oleh guru dalam pembelajaran. Pendekatan pembelajaran dengan sistem among memberikan kebebasan maupun ruang bagi siswa untuk terlibat aktif dalam pembelajaran. Kebebasan yang ada tentunya tidak menyimpang dari pemahaman yang benar menurut perspektif Kristen, yaitu kebebasan yang tetap berada di bawah otoritas Allah. Oleh karena itu untuk mengatasi permasalahan ini peneliti menerapkan sistem among. Tujuan penulisan paper ini yaitu untuk mengetahui keaktifan belajar siswa pada pembelajaran informatika yang dilakukan secara daring dengan menggunakan sistem among. Penelitian ini merupakan penelitian kualitatif deskriptif. Hasil penelitian menunjukkan bahwa keaktifan belajar siswa setelah penerapan sistem among mengalami peningkatan. Saran yang diberikan oleh peneliti sebelum menerapkan sistem among guru perlu terlebih dahulu mengidentifikasi situasi dan kondisi yang ada pada siswa. Sebab tidak semua permasalahan yang ada di dalam kelas dapat terselesaikan dengan menerapkan sistem among. 
ANALISIS BERPIKIR KRITIS MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH KONTROVERSIAL [THE ANALYSIS OF STUDENTS’ MATHEMATICAL CRITICAL THINKING FOR SOLVING CONTROVERSIAL ISSUES] Suryawan, I Putu Pasek; Ratnaya, I Gede
JOHME: Journal of Holistic Mathematics Education Vol 7, No 1 (2023): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i1.6523

Abstract

This research is a descriptive study using a qualitative approach with the aim of analyzing students' critical thinking skills in solving controversial mathematics problems using six indicators of IDEALS critical thinking. The research subjects in this study were 3 students of class X MIPA 1 SMA N 1 Singaraja who were obtained through a purposive sampling method. The research instruments this time were researchers, student worksheets, student test results, and interview results. Miles and Huberman's model is used in analyzing research data, through the process of data reduction, data presentation, and ending with drawing conclusions based on the data obtained. The results of the research and interviews show that students' critical thinking skills solve controversial mathematics problems with six indicators of IDEALS critical thinking, namely: (1) identify, it is found that the three subjects are able to identify the main problem and identify solutions to problems given that do not make sense, (2 ) define, it was found that the three subjects could define what was known and what was asked in the mathematical problem, but only by re-copying the questions, (3) enumerate, it was found that the three subjects only found one problem solving strategy that made sense, (4) analyze , each of the three subjects only used one problem-solving strategy for analysis, (5) list, it was found that the three subjects were able to state reasons for using the problem-solving strategy they used respectively, and (6) self-correct, it was obtained that the three subjects have re-checked the delivery strategy problem solutions that they use.BAHASA INDONESIA ABSTRACT: Penelitian ini merupakan penelitian deskriptif menggunakan pendekatan kualitatif dengan tujuan menganalisis kemampuan berpikir kritis siswa dalam menyelesaikan masalah kontroversial matematika menggunakan enam indikator berpikir kritis IDEALS. Subjek penelitian dalam penelitian ini yaitu 3 orang siswa kelas X MIPA 1 SMA N 1 Singaraja yang didapatkan melalui metode purposive sampling. Dengan instrumen penelitian kali ini yaitu peneliti, lembar kerja siswa, hasil tes siswa, dan hasil wawancara. Model Miles dan Huberman digunakan dalam menganalisis data penelitian, melalui proses reduksi data, penyajian data, serta diakhiri dengan penarikan kesimpulan berdasarkan data yang diperoleh. Adapun hasil penelitian serta wawancara menunjukkan bahwa kemampuan berpikir kritis siswa menyelesaikan masalah kontroversial matematika dengan enam indikator berpikir kritis IDEALS, yaitu: (1) identify, diperoleh bahwa ketiga subjek mampu mengidentifikasi pokok permasalahan dan mengidentifikasi solusi dari masalah yang diberikan tidak masuk akal, (2) define, diperoleh bahwa ketiga subjek dapat mendefinisikan terkait yang diketahui serta apa yang ditanyakan pada persoalan matematika, tetapi hanya dengan menyalin ulang soal, (3) enumerate, diperoleh bahwa ketiga subjek hanya menemukan satu strategi penyelesaian masalah yang masuk akal, (4) analyze, masing-masing dari ketiga subjek hanya menggunakan satu strategi penyelesaian masalah tersebut untuk dianalisis, (5) list, diperoleh bahwa ketiga subjek mampu menyebutkan alasan menggunakan strategi penyelesaian masalah yang mereka gunakan masing-masing, dan (6) self-correct, diperoleh bahwa ketiga subjek sudah mengecek kembali strategi penyelesaian masalah yang masing-masing mereka gunakan.

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