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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.
PENGEMBANGAN MODUL AJAR BERBANTUAN E-LKPD BERBASIS CREATIVE PROBLEM SOLVING UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS Mahendra, Annisa; Armiati, Armiati; Musdi, Edwin; Suherman, Suherman
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.v14i4.13986

Abstract

Kemampuan pemecahan masalah sangat penting untuk menghasilkan ide dan strategi untuk mengonstruksi pengetahuan. Faktanya, kemampuan pemecahan masalah matematika peserta didik masih kurang akibat kurangnya perangkat pembelajaran dan keterlibaatan belajar yang tidak memadai. Penelitian ini memiliki tujuan untuk mengembangkan modul ajar dan E-LKPD berbasis Creative Problem Solving untuk meningkatkan kemampuan pemecahan masalah matematis peserta didik kelas X SMA. Penelitian pengembangan ini dilakukan dengan mengikuti tiga tahapan model Plomp yang meliputi fase investigasi awal, pengembangan, dan penilaian. Investigasi awal mencakup analisis kebutuhan, kurikulum, konsep, karakteristik peserta didik, dan studi literatur. Fase pengembangan mencakup perancangan modul ajar dan E-LKPD berbasis CPS, diikuti evaluasi formatif melalui self evaluation, expert review, one to one evaluation, dan small group evaluation. Fase penilaian melibatkan field test dan analisis soal tes kemampuan pemecahan masalah. Data dikumpulkan melalui lembar validasi, pedoman wawancara, angket, daftar ceklis, dan soal tes kemampuan pemecahan masalah. Hasil penelitian menunjukkan modul ajar berbantuan E-LKPD berbasis CPS memenuhi kriteria “sangat valid” dengan nilai validitas sebesar 3,51 untuk modul ajar dan 3,50 untuk E-LKPD pada aspek kelayakan isi, penyajian, kegrafikan, dan bahasa. Praktikalitasnya dikategorikan “sangat praktis” dengan nilai praktikalitasnya 91,67% (modul ajar) dan 85,59% serta 86,28% (E-LKPD). Efektivitasnya terlihat dari peningkatan kemampuan pemecahan masalah dengan persentase peserta didik yang tuntas adalah 71,88%. Disimpulkan bahwa modul ajar dan E-LKPD berbasis CPS pada materi perbandingan trigonometri valid, praktis, dan efektif dalam meningkatkan kemampuan pemecahan masalah matematis peserta didik.Problem-solving ability plays a crucial role in developing ideas and strategies to construct knowledge. However, students’ mathematical problem-solving skills remain low due to limited active learning and the absence of learning tools specifically designed to support this skill development. This study aims to develop a teaching module and an electronic student worksheet (E-LKPD) based on Creative Problem Solving (CPS) to improve the mathematical problem-solving ability of tenth-grade high school students.The research follows the Plomp development model with three phases: preliminary investigation, development, and assessment. The preliminary investigation includes needs analysis, curriculum study, concept review, student characteristics analysis, and literature review. The development phase involves designing the teaching module and CPS-based E-LKPD, followed by formative evaluations through self-evaluation, expert review, one-on-one evaluation, and small group evaluation. The assessment phase consists of field testing and analyzing problem-solving test results.Data were collected via validation sheets, interview guides, questionnaires, checklists, and problem-solving tests. The results show the CPS-based teaching module and E-LKPD are “very valid,” with validity scores of 3.51 for the module and 3.50 for the E-LKPD, covering content feasibility, presentation, graphics, and language. Practicality is rated “very practical,” with scores of 91.67% for the module and 85.59% and 86.28% for the E-LKPD. Effectiveness is indicated by an increase in problem-solving skills, with 71.88% of students achieving mastery. In conclusion, the CPS-based teaching module and E-LKPD on trigonometric ratios are valid, practical, and effective in improving students’ mathematical problem-solving abilities.
Efektivitas Perangkat Pembelajaran Berbasis Flipped Classroom untuk Meningkatkan Kemampuan Penalaran Matematis Peserta Didik Ridia Fedistia; Edwin Musdi
Didaktik Matematika Vol 7, No 1 (2020): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v7i1.14371

Abstract

This study was aiming at determining the impact of mathematics learning instruments based on flipped classroom in improving students' mathematical reasoning abilities. This is development research adapting the Plomp development model. This research was conducted in three stages: preliminary research, prototyping phase, and assessment phase. The subjects of this study were students one of the senior high schools in Padang, Indonesia. The instrument used was a test of mathematical reasoning ability. Data were analyzed by quantitative methods. The results showed the number of students achieving the minimum criteria of mastering learning concerning mathematical reasoning ability, increasing from 47.22% to 75%. The mathematical reasoning ability of students in groups increased from the first to the fifth meeting, and the level of implementation of learning by the teacher was in a good category. This means that the learning tools based on Flipped Classroom were effective in improving students' mathematical reasoning abilities.
Literature Science Analysis on the Validity and Practicality Criteria of GeoGebra-Supported Mathematics Learning Modules Nelvy Yunita; Suherman; Edwin Musdi; Zusti Jamaan
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.v11i9.12355

Abstract

This study presents a systematic literature review analyzing the validity and practicality of GeoGebra-supported mathematics learning modules. The purpose is to evaluate the scientific quality and classroom feasibility of these modules based on empirical evidence from published research between 2013 and 2023. A total of 27 studies were synthesized using PRISMA guidelines to assess content, construct, and instructional design validity, as well as ease of use, time efficiency, and user response. Findings indicate that most modules demonstrate high content validity through expert validation and curriculum alignment, and are perceived as practical and engaging by teachers and students. However, gaps exist in empirical validation of learning constructs and in the integration of cognitive load principles within instructional design. Challenges such as extended implementation time, technical barriers, and insufficient teacher training affect practicality in real classroom settings. The study concludes that while GeoGebra-supported modules hold strong potential for enhancing mathematics learning, their effectiveness depends on pedagogical soundness, systematic development, and contextual support. Standardized evaluation frameworks and improved teacher readiness are recommended for sustainable implementation.
Integration of Everyday Life Science Context in RME-Based Social Arithmetic Learning Muth Mainnah Rangkuti; Edwin Musdi; Ahmad Fauzan; Yerizon; Arnellis
Jurnal Penelitian Pendidikan IPA Vol 12 No 2 (2026)
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v12i2.14269

Abstract

This study develops and validates a Hypothetical Learning Trajectory (HLT) integrating everyday life science contexts within Realistic Mathematics Education (RME) framework for teaching social arithmetic to seventh-grade students. Through design research methodology involving three students with varying mathematical abilities, the research examined how contextually rich learning activities scaffold students' progression from informal to formal mathematical reasoning. Results demonstrated significant improvements in conceptual understanding across all ability levels, with most substantial gains observed among lower-ability students (143.8% improvement). Qualitative analysis revealed students' transformation from procedural memorization to conceptual reasoning, with contextual barriers rather than cognitive limitations identified as primary impediments to mathematical understanding. The HLT successfully facilitated students' development of meaningful connections between mathematical procedures and real-world applications, particularly in profit-loss scenarios and taxation calculations. These findings indicate that RME-based contextual integration creates effective pathways to conceptual mastery, offering inclusive learning opportunities that address persistent gaps between classroom mathematics and practical application. The research contributes to both theoretical understanding of mathematics learning trajectories and practical instructional design for meaningful mathematics education.
The Effect of Project Activity Cooperative Exercise (PACE) Learning Model on Students’ Mathematical Communication Skills in Science Integrated Mathematics Education Reka Afrillia Zeni; Edwin Musdi; Laswadi; Eline Yanty Putri Nasution; Romi Kurniawan
Jurnal Penelitian Pendidikan IPA Vol 12 No 2 (2026)
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v12i2.14450

Abstract

This quasi-experimental study examined the effect of the Project, Activity, Cooperative Learning, and Exercise (PACE) model on eighth-grade students' mathematical communication ability in solid geometry. Forty students from SMPN 6 Model Kota Sungai Penuh were assigned to an experimental group (PACE model) and a control group (conventional instruction). Both groups received six learning sessions on cubes and cuboids, followed by a six-item essay test assessing three communication indicators: written text, drawing, and mathematical expressions. Data analysis using independent samples t-test revealed the experimental group achieved a significantly higher mean score (81.25, high category) compared to the control group (73.125, moderate category); t(38) = 2.899, p = 0.006. The rejection of the null hypothesis confirmed that PACE implementation positively influenced students' ability to express mathematical ideas through verbal explanations, accurate visual representations, and appropriate symbolic notations. The model's project-based and collaborative components effectively scaffolded students' articulation of geometric concepts, demonstrating its pedagogical value for enhancing mathematical discourse in Indonesian lower secondary classrooms.
PENGEMBANGAN PERANGKAT PEMBELAJARAN BERBASIS KEARIFAN LOKAL KOTA PAYAKUMBUH UNTUK MENINGKATKAN KEMAMPUAN PENALARAN MATEMATIS PESERTA DIDIK Azizah, Novia; Musdi, Edwin; Fauzan, Ahmad; Asmar, Ali
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 15, No 1 (2026)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v15i1.12386

Abstract

Kemampuan penalaran matematis sangat penting karena dapat membantu memecahkan masalah sehari-hari dan memahami materi matematika. Observasi awal yang dilakukan di SMPN 1 Mungka, SMPN 2 Guguak, dan SMPN 1 Akabiluru mengungkapkan bahwa kemampuan penalaran matematis peserta didik masih rendah. Salah satu faktor yang menyebabkan permasalahan ini adalah belum tersedianya perangkat pembelajaran yang dirancang secara khusus untuk mendukung pengembangan kemampuan penalaran matematis peserta didik. Berdasarkan hal tersebut, penelitian ini bertujuan untuk merancang dan mengembangkan modul ajar serta LKPD berbasis kearifan lokal Kota Payakumbuh guna meningkatkan kemampuan penalaran matematis peserta didik kelas VII SMP. Penelitian ini menerapkan metode penelitian dan pengembangan (R&D) dengan model prump, yang terdiri dari tiga tahap yaitu investigasi awal, pengembangan, dan penilaian. Kualitas modul ajar dan LKPD dinilai berdasarkan tiga aspek utama yaitu validitas, kepraktisan, dan efektivitas. Pengumpulan data dilakukan menggunakan berbagai instrumen, seperti lembar observasi, lembar validasi, angket, pedoman wawancara, serta tes kemampuan untuk mengukur kemampuan penalaran matematis peserta didik. Hasil analisis menunjukkan bahwa rata-rata validitas modul terbuka mencapai 0,87 dengan kategori sangat valid, sementara LKPD memperoleh rata-rata validitas 0,84 dengan kategori yang sama. Dari segi kepraktisan modul terbuka dan LKPD dengan kategori sangat praktis dengan skor masing-masing 92% dan 91%. Selain itu, perangkat pembelajaran ini efektif dalam meningkatkan hasil belajar peserta didik setelah menggunakan modul ajar dan LKPD. Berdasarkan temuan tersebut, dapat disimpulkan bahwa modul ajar dan LKPD matematika berbasis kearifan lokal Kota Payakumbuh yang dikembangkan telah memenuhi kriteria sebagai perangkat pembelajaran yang valid, praktis, dan efektif.  
Development of Geometry Learning Tools Integrated Transformation of Ethnomathematics of Jambi Batik Tiya Marsya; Ahmad Fauzan; Edwin Musdi
Jurnal Penelitian Pendidikan IPA Vol 9 No 12 (2023): December
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v9i12.6096

Abstract

This research was motivated by low student learning outcomes, learning tools that did not provide a positive relationship to students' mathematical abilities, and learning tools that did not include the surrounding culture. This research aims to produce an integrated learning tool for Jambi Batik ethnomathematics that meets the valid, practical, and effective criteria for transforming geometry material in class IX junior high schools. The method used in this research is a combination of ethnographic research and development research with the Plomp model which consists of the Preliminary, Prototyping, and Assessment Phases. The subjects of this research were class IX students of SMP Negeri 21 Batanghari. The results of this research show that the Jambi Batik Ethnomathematics integrated Transformation Geometry learning tool in Class IX Middle School is valid. The device also meets practical criteria based on the results of questionnaires and interviews. Based on the final tests carried out, it shows that the device is in the effective category. So, it can be concluded that the resulting device is valid, practical, and effective.
Bibliometric Analysis: Collaboration Networks In Discovery Learning Research Andi Suparjo; Edwin Musdi; Yerizon Yerizon; I Made Arnawa
Jurnal Penelitian Pendidikan IPA Vol 10 No 2 (2024): February
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i2.7002

Abstract

This research identifies publications related to Discovery learning. Discovery learning is a learning model that encourages active learning in students through self-discovery and research so that the results achieved are long-lasting and difficult to forget. This research aims to identify and analyze articles researching Discovery Learning that have been published in several reputable international journals published in the 2014-2023 period, which was carried out using bibliometric studies. Bibliometric analysis produced four findings: publications about Discovery Learning in Scopus-indexed journals have been in a fluid and balanced pattern every year for the last ten years; 328 of the ten journals producing the most articles have been published. The top-ranked journal published 15 articles, and the tenth-ranked journal published five articles; The most citations occurred in articles published in 2020 with a total of 1101 citations. The most cited article was written by B.R. Goldsmith with 241 citations; The author's keywords that are most frequently used in the top three are discovery, machine, and machine learning
Integrating TSTS Model into Digital Flipbooks: A Strategy to Foster Numerical and Scientific Problem-Solving Ability Annisa Fauzana; Suherman; Yerizon; Edwin Musdi
Jurnal Penelitian Pendidikan IPA Vol 12 No 5 (2026)
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v12i5.14991

Abstract

This study aimed to develop and evaluate a Two Stay Two Stray (TSTS)-integrated digital flipbook electronic worksheet (E-LKPD) designed to enhance mathematical problem-solving abilities among eighth-grade students. Employing the Plomp research and development model, the product underwent systematic expert validation, iterative usability testing, and classroom-based field evaluation. Results indicated that both the teaching module and E-LKPD achieved "Very Valid" status, with mean validity scores of 3.47 and 3.54 respectively across content, instructional design, graphics, and language dimensions. Practicality assessments yielded "Very Practical" ratings: 90% for the teaching module and 84.26% for the E-LKPD during field testing. Effectiveness was demonstrated by 80% of students achieving mastery on a mathematical problem-solving assessment, surpassing the predefined 65% success threshold. These findings confirm that integrating the structured TSTS cooperative learning protocol within an interactive digital flipbook format can effectively support the development of mathematical problem-solving competencies. The developed product offers a scalable, curriculum-aligned instructional resource that bridges cooperative pedagogy with technology-enhanced learning.
Co-Authors A.A. Ketut Agung Cahyawan W Abdur Rahman As’ari Adityawarman Hidayat Afriyanto Afriyanto Agung Setia Budi Ahmad Fauzan Ahmad Fauzan Ahmad Fauzi Aidatul Ira Harahap Ali Asmar Andi Suparjo Anggrawati, Ari Annisa Fauzana Annisa Mahendra Armiati Armiati Armiati Arnawa, Made Arnellis Arnellis Arnellis Arnellis Arnilawati Arnilawati Asmar, Ali Azizah, Novia Azwir Anhar Barus, Sri Ayu Ulihna Beta Indo Putra Chintya Novelia Deciku, Belia Dewi Soleha Dony Permana Dwi Putri Amilia Dwina, Fitrani Eline Yanty Putri Nasution Elita Zusti Jamaan Elza Nora Yuliani EZ Jamaan Fadila Suciana Faisal Amri Tanjung Fauzi Ahmad Muda Firman Edi Fitriana Fitriana Gunawan, Rilla Gina Hamdani Syaputra Hamidah . Harahap, Adek Nilasari Hendra Syarifuddin Hendra Syarifuddin I Made Arnawa I Made Arnawa I Made Arwana IMade Arnawa Indang Dewata Indri EkaYulia Sari Irwan Irwan Irwan Irwan Irwan Jihe Chen Kelly Angelly Hevardani Khairani, Devi Kurnia Syabrinawati Laksono Trisnantoro Laswadi Leni, Nofri Lusi Susanti Made Arnawa Mahendra, Annisa Mega Anggraini Melisya Melisya Meria Ultra Gusteti Mirna Mudjiran Muth Mainnah Rangkuti Muthia Rahmi Muthia Rahmi, Muthia Nelvy Yunita Nidaul Himmah Nidya Oktadila Nola Nari Nola Nari Nonong Amalita Novia Azizah Novia Safitri Nurlaili Nurlaili Oskah Dakhi Permana, Dony Putri, Wina Friliza R.Iska Meiliputri Rahmadia Tiara Agusta Rahmadila, Rahmadila Rahmiati Rahmiati Rahmiati Rahmiati Rahmiati Ranny Putri Yoma Rasli, Amran Md. Reka Afrillia Zeni Rendi Hidayat Ridha Fajria Ridia Fedistia Romi Kurniawan Ronal Rifandi Rozika, Eri Rusdinal Rusdinal Rusdinal Rusdinal Rusyda, Nurul Afifah Safitri, Winda Sakinah, Hanifatus Shafira, Vindi Siltima Wiska Silvia Silvia Suci Aisyah Putri Suherman Suherman Suherman Suherman, Suherman Suparman Suparman Suri Srima Eled Susanti Susanti Syafriandi Syafriandi Syaputra, Hamdani Syarifuddin*, Hendra Syarifuddin, Hendra Tamur, Maximus Tiya Marsya Ulfi Waddani Yuni Ummul Huda Unung Verawardina Wahyuni Aflah Rambe Yanrizawati Yanrizawati Yanti Azmaniar Yarmaina Yarmaina Yerizon Yerizon Yerizon Yerizo Yerizon Yerizon Yerizon Yerizon Yerizon Yerizon Yulia Utami Putri Yulyanti Harisman Yusri Wahyuni ZAGOTO, MARIA MAGDALENA Zahrun Zulhendri Zulhendri Zulhendri Zusti Jamaan