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All Journal International Journal of Evaluation and Research in Education (IJERE) Jurnal Matematika JURNAL MAGISTER HUKUM UDAYANA Mimbar PGSD Undiksha Jurnal Informatika Jurnal Infinity Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains AKSIOMA: Jurnal Program Studi Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Edukasi Matematika dan Sains EDU-MAT: Jurnal Pendidikan Matematika Jurnal Gantang Al-Jabar : Jurnal Pendidikan Matematika Jurnal Penelitian Pendidikan IPA (JPPIPA) Jurnal Cendekia : Jurnal Pendidikan Matematika Jurnal Basicedu Global Conference Index Jurnal Pendidikan Matematika (JPM) FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Jurnal Matematika UNAND Jurnal Pendidikan dan Kebudayaan FARABI: Jurnal Matematika dan Pendidikan Matematika Journal of Social Research Journal Of World Science Jurnal Ilmu Hukum, Humaniora dan Politik (JIHHP) Jurnal Basicedu Jurnal Infinity Jurnal Pendidikan MIPA Edumaspul: Jurnal Pendidikan
I Made Arnawa
Universitas Andalas
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Social Sciences Other

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Development of Learning Tools Based on Realistic Mathematics Education to Improve the Mathematical Problem-Solving Ability of Students in Class VII Middle School Putri, Febby Fauzila; Yerizon, Yerizon; Arnawa, I Made
Journal of Social Research Vol. 2 No. 10 (2023): Journal of Social Research
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/josr.v2i10.1436

Abstract

This research aims to describe: 1) the effectiveness of the realistic approach-based learning tools developed; 2) increasing students' mathematical problem-solving skills taught through a developed realistic approach-based learning tool; and 3) student responses to the realistic approach-based learning tools developed. This research is a development research. This research was conducted in two stages, namely the first stage of developing learning tools based on the Realistic Mathematics Education approach, and the second stage of testing learning tools based on the Realistic Mathematics Education approach developed in class VII at SMP IT Darul Ikhlas Al Islami to see their effectiveness. The results of the trial, it was obtained: 1) learning tools based on a realistic approach that were developed effectively, in terms of a) classical student learning completeness; b) achievement of learning objectives; and c) learning time; 2) The realistic approach-based learning tools developed can improve students' mathematical problem-solving abilities; and 3) students' positive response to the activities and learning tools based on the realistic approach developed.
Hypothetical Learning Trajectory Sistem Persamaan Linear Dua Variabel Dengan Pendekatan Realistic Mathematics Education Deciku, Belia; Musdi, Edwin; Arnawa, I Made; Suherman, Suherman
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 1: Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 1 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i1.1781

Abstract

Materi Sistem Persamaan Linier Dua Variabel (SPLDV) menjadi materi prasyarat untuk ke tingkatan yang lebih tinggi. Alasan dilakukannya eksplorasi ini adalah untuk membuat suatu teknik pembelajaran/ Hipothetical Learning Trajectory (HLT) SPLDV dengan pendekatan Realistic Mathematics Education (RME). Penelitian ini menggunakan teknik perbaikan pemeriksaan yang terdiri dari 3 tahap, yaitu persiapan investigasi, rencana eksplorasi, dan pemeriksaan review. Subyek penelitian ini adalah 3 siswa SMPN 3 Lareh Sago Halaban. Ketiga siswa ini mewakili siswa dengan kapasitas tinggi, sedang, dan rendah. Hasil penelitian menunjukkan bahwa kerangka kondisi arahan pembelajaran spekulatif (HLT) yang dicobakan menunjukkan adanya strategi pembelajaran SPLDV yang dapat dilakukan dengan pendekatan RME. Demikian pula, strategi pembelajaran SPLDV berbasis RME dimulai dengan mempelajari peluang pertumbuhan dan ide-ide baru yang akan diperkenalkan. Selain itu, dalam pelaksanaan pembelajaran siswa menerapkan penemuan-penemuan ide materi baru terhadap masalah-masalah nyata yang diberikan. Dengan tujuan agar siswa dapat melibatkan ide materi SPLDV dalam berbagai situasi. Siswa memperoleh pemahaman tentang materi yang mereka atasi peluang pertumbuhan mereka sendiri. Peluang untuk berkembang seperti ini akan memperkuat pemahaman siswa yang mungkin menafsirkan materi SPLDV.
Hypothetical Learning Trajectory Berbasis Realistics Mathematics Education Maria Magdalena Zagoto; I Made Arnawa; Edwin Musdi; Firman Edi; Oskah Dakhi; Unung Verawardina
Edumaspul: Jurnal Pendidikan Vol 6 No 2 (2022): Edumaspul: Jurnal Pendidikan
Publisher : Universitas Muhammadiyah Enrekang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33487/edumaspul.v6i2.5263

Abstract

The purpose of this research was to produce a Hypothetical Learning Trajectory (HLT) for the addition of fractions with the same denominator using the context of löma typical food of Nias region. The learning approach used was Realistics Mathematics Education (RME). The research method used was design research. The research subjects were three fourth grade students of SDN 071104 Botohilitano with heterogeneous ability levels, namely low, medium and high ability. The research focused on designing HLT which was validated, revised and tested one-to-one with students. Data collection was carried out by collecting the results of the NLPD given, and interviewing students. Retrospective analysis of the one to one implementation showed that the context of the instrument used in the form of HLT and learner worksheets using the RME approach through literature study. The data collected was analyzed qualitatively. Based on the results of the analysis, it was found that students with medium and high abilities could understand the material quite well, while low ability students had difficulty in understanding the problems given.
DEVELOPING PROBLEM-BASED LEARNING WORKSHEETS TO ENHANCE PROBLEM-SOLVING SKILLS IN NUMBER PATTERNS FOR JUNIOR HIGH SCHOOL STUDENTS Ismalyanti, Rima; Asmar, Ali; Fauzan, Ahmad; Arnawa, I Made
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.13743

Abstract

This study aims to design a student worksheet grounded in the Problem-Based Learning (PBL) approach that meets the criteria of validity, practicality, and effectiveness to enhance junior high school students' mathematical problem-solving skills in the topic of number patterns. Employing the Plomp development framework, the research followed three sequential phases: preliminary investigation, design, and assessment. The needs analysis identified limitations in conventional teaching practices and inadequate learning resources, which often hinder student understanding. The developed worksheet integrates the five essential stages of PBL and was validated through expert evaluation, limited trials, and broader implementation. Results demonstrated that the worksheet was highly valid with an average expert score of 3.71. Practicality testing showed strong user engagement and clarity, with a score of 83.8%, while effectiveness was confirmed by a 91.4% student mastery rate in mathematical problem-solving based on Polya’s stages. These findings suggest that the PBL-based worksheet significantly contributes to students' cognitive development and offers a viable instructional tool for mathematics education.
MENELUSURI KESULITAN MAHASISWA DALAM PEMBUKTIAN MATEMATIS PADA PERKULIAHAN PENGANTAR ANALISIS REAL Dewi Murni; Yerizon Yerizon; Ahmad Fauzan; Elita Zusti Jamaan; I Made Arnawa; Helma Helma
EDU-MAT: Jurnal Pendidikan Matematika Vol 13, No 2 (2025)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v13i2.22776

Abstract

Pembuktian matematis merupakan elemen kunci dalam pendidikan matematika tingkat lanjut dan menjadi fokus utama dalam perkuliahan Pengantar Analisis Real. Namun, banyak mahasiswa mengalami kesulitan dalam memahami konsep dasar, menghubungkan definisi dengan teorema, serta menyusun pembuktian secara runtut, sehingga memengaruhi penguasaan mereka terhadap mata kuliah ini. Penelitian ini bertujuan menelusuri kesulitan mahasiswa dalam memahami soal pembuktian, melaksanakan proses pembuktian, dan menarik kesimpulan dari hasil pembuktian. Jenis penelitian yang digunakan adalah metode campuran (mixed methods), yang menggabungkan pendekatan kuantitatif dan kualitatif. Subjek penelitian adalah satu kelas mahasiswa Jurusan Matematika, Program Studi Pendidikan Matematika, FMIPA, Universitas Negeri Padang yang menempuh mata kuliah Pengantar Analisis Real pada semester Januari–Juni 2024, dengan jumlah 35 mahasiswa. Dari jumlah tersebut, enam orang mahasiswa dipilih sebagai responden wawancara. Instrumen yang digunakan adalah tes soal pembuktian dan lembar wawancara. Data tes (rentang 1-100) dikategorikan dengan nilai 1 sampai dengan 4 berdasarkan rubrik penilaian yang terdapat dalam standar operasional prosedur penilaian UNP. Data wawancara dianalisis menggunakan analisis deskriptif. Hasil penelitian menunjukkan bahwa pada proses pembuktian diperoleh kesulitan mahasiswa: dalam memahami soal pembuktian sebanyak 44,83%, dalam melaksanakan pembuktian sebanyak 52,49%, dan dalam membuat kesimpulan hasil pembuktian sebanyak 65,52%. Analisis jawaban mahasiswa menunjukkan bahwa kesulitan utama terletak pada: kesalahan memahami premis soal, penggunaan definisi irisan yang tidak benar, penyusunan argumen pembuktian yang tidak sistematis, serta penarikan kesimpulan yang tidak didasarkan pada langkah-langkah yang benar. Kata kunci: pembuktian matematis, analisis real, kesulitan mahasiswa. Abstract: Mathematical proof is a key element in advanced mathematics education and is the main focus of the Introduction to Real Analysis course. However, many students experience difficulties in understanding basic concepts, connecting definitions to theorems, and constructing proofs coherently, thus affecting their mastery of this course. This study aims to explore students' difficulties in understanding proof problems, carrying out the proof process, and drawing conclusions from the proof results. The type of research used is a mixed methods study, combining quantitative and qualitative approaches. The subjects were a class of 35 students from the Mathematics Department, Mathematics Education Study Program, Faculty of Mathematics and Natural Sciences, Padang State University, who took the Introduction to Real Analysis course in the January–June 2024 semester. Of these, six students were selected as interview respondents. The instruments used were a proof test and an interview sheet. Test data (range 1–100) were categorized with a score of 1 to 4 based on the assessment rubric contained in the UNP assessment standard operating procedures. Interview data were analyzed using descriptive analysis. The results of the study showed that in the proof process, students found difficulties: in understanding the proof questions as much as 44.83%, in carrying out the proof as much as 52.49%, and in drawing conclusions from the proof results as much as 65.52%. Analysis of student answers showed that the main difficulties lay in: misunderstanding the question premise, using incorrect intersection definitions, compiling unsystematic proof arguments, and drawing conclusions that were not based on correct steps. Keywords: mathematical proff; real analysis; student struggles; proof construction
Integrating Scientific Inquiry in Mathematics Education: Development of a Problem-Based Learning Module to Enhance Mathematical Literacy in Vocational High School Students Ayu Selvia; I Made Arnawa; Arnellis; Yarman
Jurnal Penelitian Pendidikan IPA Vol 11 No 9 (2025): September
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i9.12565

Abstract

This study aimed to develop a valid, practical, and effective Problem-Based Learning (PBL) mathematics teaching module integrated with scientific inquiry to enhance mathematical literacy among Grade X vocational high school students in a Computer and Network Engineering program. The development followed the Plomp model, comprising preliminary research, prototyping, and assessment phases. Data were collected through expert validation, student and teacher response questionnaires, observations, and pre- and post-tests. The module was validated by experts with an average score of 3.607 (very valid), while the student worksheets scored 3.582 (very valid). Practicality was confirmed with a 88.33% score from teachers and 88.40% from students, both categorized as very practical. The module significantly improved students’ mathematical literacy, with an average post-test score of 82.66, reflecting gains in formulating, employing, and interpreting mathematical solutions within real-world vocational contexts. Findings indicate that the integration of scientific inquiry into PBL fosters deeper engagement and strengthens problem-solving skills.
Development of RME-based Teaching Modules to Improve Problem-Solving Skills and Mastery of IPAS Concepts for Junior High School Students Lisdiani Pamio; Armiati; I Made Arnawa; Yulyanti Harisman
Jurnal Penelitian Pendidikan IPA Vol 10 No 10 (2024): October
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i10.8852

Abstract

This research aims to develop a teaching module based on RME that is valid, practical, and effective for class VII SMP, with a focus on improving the ability to solve problems with mathematical students. We developed the modules by considering the local context and culture, adhering to RME measures, and emphasizing the use of relevant and conceivable situations for students. We utilized the Plomp development model, which encompasses the stages of investigation, creation, and evaluation. We tested the prototype and assessment of this teaching module on participants enrolled in class VII at SMP N 1 Ranah Batahan. The research results demonstrate that the developed teaching modules have high validity (89.33%), practicality (89.60%), and proven effectiveness, as evidenced by an average score of 85.50% among the test study students.  In addition to enhancing the mathematical skills of students, the RME approach also enhances the study of IPAS (Natural and Social Sciences). The development of problem-solving and critical thinking skills through this module enhances students' understanding of natural and social phenomena. Therefore, this teaching module not only promotes mathematical achievement but also fosters integrative and holistic learning within the framework of IPAS.
Development of Local Instructional Theory on Parallelogram Topics Based on RME to Improve Mathematical Problem-Solving Skills Endah Zulfah; Ahmad Fauzan; I Made Arnawa
Journal of World Science Vol. 3 No. 3 (2024): Journal of World Science
Publisher : Riviera Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58344/jws.v3i3.582

Abstract

The purpose of this research is to develop a local instructional theory on parallelogram material and examine the improvement of students' mathematical problem-solving skills by using local instructional theory. This research uses the Design Research method, which uses the Gravemeijer and Cobb development model and the Plomp model. The Plomp development model has three stages, namely, preliminary research, prototyping phase, and assessment phase. The research subjects were seventh-grade students of MTs N 5 Jambi City. Data analysis techniques in this study used Quantitative data were obtained through questionnaires, while qualitative data were obtained through observations, interviews, field notes, and final test questions. The results of this study indicate that the local instructional theory on the topic of RME-based parallelogram in class VII is valid. The learning design met the practical criteria based on the results of the questionnaires and interviews. Based on the final test conducted shows that the local instructional theory is already in the effective category. So, the learning flow produced is valid, practical and effective. The implication of this research is that the development of local instructional theory on RME-based quadrilateral material can significantly improve students' mathematical problem solving ability. This shows that through the right approach in learning design, as implemented in this study, the problem solving ability problems that students often experience can be overcome. Thus, this approach has the potential to be widely applied in improving the effectiveness of mathematics learning in schools.
Pengembangan Perangkat Pembelajaran Berbasis Kecerdasan Majemuk untuk Meningkatkan Kemampuan Berpikir Matematis Fitri Andriani; Yerizon Yerizon; I Made Arnawa; Ali Asmar
Jurnal Pendidikan Matematika (JPM) Vol 7 No 2 (2021): Jurnal Pendidikan Matematika (JPM)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33474/jpm.v7i2.11363

Abstract

Masalah yang ditemui di lapangan adalah kemampuan berfikir kritis matematis peserta didik yang belum optimal. Kemampuan berfikir kritis matematis peserta didik dapat ditingkatkan dengan menggunakan perangkat pembelajaran berbasis kecerdasan majemuk. Tujuan dari penelitian ini adalah untuk mengetahui proses dan hasil pengembangan perangkat pembelajaran berbasis kecerdasan majemuk dalam meningkatkan kemampuan berfikir matematis peserta didik. Jenis penelitian ini adalah penelitian pengembangan (Development Research). Model pengembangan yang digunakan adalah model Plomp yang terdiri dari tiga fase yaitu fase investigasi awal (preliminary research), fase pengembangan atau pembuatan prototype (development or prototyping phase), dan fase penilaian (assessment phase). Pada bagian ini hanya membahas penelitian pada investigasi awal (preliminary research). Instrument yang digunakan pada fase investigasi awal (preliminary research) adalah angket peserta didik, pedoman wawancara guru, catatan lapangan, lembar soal tes pendahuluan. Hasil analisis data pada fase investigasi awal (preliminary research) menunjukkan bahwa 1) rendahnya kemampuan berfikir kritis matematis, 2) kemampuan peserta didik bervariasi, 3) cara belajar peserta didik bervariasi, 4) perangkat yang digunakan guru kurang memfasilitasi peserta didik untuk meningkatkan kemampuan berfikir kritis matematis peserta didik, 5) kurang terlibatnya peserta didik dalam proses pembelajaran, 6) peserta didik sulit memahami Bahasa yang digunakan pada sumber belajar.The problem encountered in the field is that students' mathematical critical thinking skills are not satisfying yet. Students' mathematical critical thinking skills can be improved by using multiple intelligence-based learning tools. The purpose of this study was to determine the process and the results of the development of learning tools based on multiple intelligence in improving students' mathematical thinking skills. This is a development research. The development model used is the Plomp model which consists of three phases, namely the preliminary research phase, the development or prototyping phase, and the assessment phase. This thesis only discusses the preliminary research phase. The instruments used in this research are student questionnaires, teacher interview guidelines, field notes, preliminary test question sheets. The results of data analysis in the preliminary research phase showed that 1) there is a lack of mathematical critical thinking skills, 2) Students have various kinds of abilities, 3) There are differences in students’ learning styles, 4) There is a lack of teaching tools used by the teacher so that the students are not able to improve their critical thinking mathematically, 5) there is lack of students participation in the learning process, 6) It is difficult for students to understand the language used in the learning resources.
DEVELOPING PROBLEM-BASED LEARNING WORKSHEETS TO ENHANCE PROBLEM-SOLVING SKILLS IN NUMBER PATTERNS FOR JUNIOR HIGH SCHOOL STUDENTS Rima Ismalyanti; Ali Asmar; Ahmad Fauzan; I Made Arnawa
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol. 14 No. 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.13743

Abstract

This study aims to design a student worksheet grounded in the Problem-Based Learning (PBL) approach that meets the criteria of validity, practicality, and effectiveness to enhance junior high school students' mathematical problem-solving skills in the topic of number patterns. Employing the Plomp development framework, the research followed three sequential phases: preliminary investigation, design, and assessment. The needs analysis identified limitations in conventional teaching practices and inadequate learning resources, which often hinder student understanding. The developed worksheet integrates the five essential stages of PBL and was validated through expert evaluation, limited trials, and broader implementation. Results demonstrated that the worksheet was highly valid with an average expert score of 3.71. Practicality testing showed strong user engagement and clarity, with a score of 83.8%, while effectiveness was confirmed by a 91.4% student mastery rate in mathematical problem-solving based on Polya’s stages. These findings suggest that the PBL-based worksheet significantly contributes to students' cognitive development and offers a viable instructional tool for mathematics education.
Co-Authors ., Jenizon Adityawarman Hidayat Admi Nazra Afniati, Ilhami Ahmad Fauzan Ahmad Fauzan Ahmad Fauzan Ahmad Fauzan Ali Asmar Armiati Arnellis Arnellis, Arnellis Asmar, Ali Asrar, Astari Astuti Atmazaki Atmazaki Ayu Selvia Azwir Anhar Bahri, Susila Bana Kartasasmita Cholis Sa’dijah Deciku, Belia DELLA, SEPTI RAHMA Dewi Murni Dony Permana Dwi Ratih Listiani Yusri Edwin Musdi Edy Tri Baskoro Elita Zusti Jamaan Elza Nora Yuliani Emi Suryani Putri Endah Zulfah Ermanto Ermanto Ermanto Ervinasari, Bunga Fadila Suciana Feby Rendani Firman Edi Fitri Andriani Hamdani, Vikri Handaru, Siti Mico Haswenova, Fadhilah Helma Helma Helma Helma Hendrajah, Apdyan Dwi HESTI SRI HANDANI Hidayah, Irma Rachmah I Ketut Ardana I Wayan Kartika Jaya Utama Indang Dewata Intan Parwati Pane Irwan Irwan Ismalyanti, Rima Ita Desnatalia Jamaan, Elita Zusti Johannes Ibrahim Kosasih Juandika, Suci Khairunnisa, Nurul Maulina Khoberlin Khoberlin Lathifah Mudhiani Lathiful Anwar Leni, Nofri Lisdiani Pamio Liza Wulandari Lufri Lufri M.Si Dr. I Wayan Rinda Suardika,S.Pd . Meria Ultra Gusteti Molli Wahyuni MUTHIA GUSRIATI muyassar a'la Nevi Nurmalasari Nova Noliza Bakar Novia Safitri Nunung Septriani Nurhadi, Muhammad Oskah Dakhi Pane, Intan Parwati Permana, Dony Purwoko, Agus Putri May Windy Putri, Febby Fauzila Rasli, Amran Md. Rima Ismalyanti Rusdi Rusdi Rusdi Sakinah, Hanifatus Shelvia Mandasari SILVIA MARTASARI Silvia Rahayu Silviana Ekasari Asmar Sri Wahyuni Suherman, Suherman Syafrizal Wandi Syarifuddin, Hendra Unung Verawardina Utari sumarno Wirdaningsih, Sari Yanita Yanita Yarman Yarman Yarman Yarman Yarman, Yarman Yerizon Yerizon Yerizon Yerizon Yuliana Shinta Yulyanti Harisman Yuslenita Muda Yuswar, Tarinur ZAGOTO, MARIA MAGDALENA Zulfah, Endah