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Rustanto Rahardi

Universitas Negeri Malang

Author-ID : 2915433

Religion Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Energy Immunology & microbiology Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Social Sciences Other

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‘Matcha-Act’ Website as Learning Media for Linear Equation in Junior High School Mei Dwi Jayanti; Rustanto Rahardi; Cholis Sa'dijah
PRISMA Vol. 15 No. 1 (2026): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v15i1.6186

One of mathematic topic that often considered difficult is linear equation. This research aims to develop “Matcha-Act” website as learning media for linear equation that is both valid and practical for mathematic learning. Adopting a Research and Development (R&D) framework, the study employed ADDIE model (Analysis, Design, Development, Implementation, Evaluation). The subjects of this research were 8th grade junior high school students. The data gathered via media validation instruments and response questionnaires. The result indicated that the “Matcha-Act” website were valid and achieving a score of 3.2 or 80%. Furthermore, practicality test yielded a score of 3.1 or 77.5%. It means that “Matcha-Act” website-media were practical to use. The advantages of “Matcha-Act” website media include its accessibility and convenience, an engaging and interactive interface, and its ability to assist students in discovering concepts independently under teacher guidance. Consequently, the Matcha-Act” website is verified as a valid and practical learning media, making it suitable for mathematics learning, particularly on the topic of linear equations.

REPRESENTASI MATEMATIS DAN KEMAMPUAN MATEMATIKA SISWA SMP DITINJAU DARI TAKSONOMI BLOOM Lailin Hijriani; Swasono Rahardjo; Rustanto Rahardi
AXIOM : Jurnal Pendidikan dan Matematika Vol 11, No 1 (2022)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v11i1.9340

Representasi matematis dibutuhkan untuk menyajikan ide-ide matematika. Kemampuan matematika siswa dapat dilihat dari bagaimana siswa merepresentasikan gagasannya atas suatu masalah matematis. Representasi yang digunakan siswa akan berbeda dengan siswa lainnya. Tujuan penelitian ini adalah untuk melihat representasi matematis dan kemampuan matematika siswa ditinjau dari Taksonomi Bloom. Metode yang digunakan dalam penelitian ini deskriptif kualitatif yang bertujuan untuk mendeskripsikan Representasi Matematis dan Kemampuan Matematika Siswa SMP ditinjau dari Taksonomi Bloom. Instrumen dalam penelitian ini terbagi menjadi dua yaitu instrumen utama yaitu peneliti sendiri dan instrumen pendukung yaitu lembar tes representasi matematis, lembar tes taksonomi Bloom, dan wawancara. Hasil menunjukkan bahwa secara keseluruhan kemampuan subjek dalam menyelesaikan masalah sistem persamaan linear dua variabel berbeda-beda. Hal ini terlihat dari masih terdapatnya proses penyelesaian yang belum terjawab dengan benar, meskipun representasi yang digunakan sudah tepat tetapi terdapat beberapa soal yang belum terjawab dengan benar. Sedangkan untuk kemampuan matematika yang ditinjau dari level Taksonomi Bloom, belum ada subjek yang mampu menyelesaikan soal level satu sampai enam secara berturut-turut dengan benar.AbstractMathematical representations are needed to present mathematical ideas. Students' mathematical ability can be seen in how students represent their ideas on a mathematical problem. The representation used by students will be different from other students. This study aims to see the mathematical representation and mathematical ability of students based on Bloom's Taxonomy. A descriptive qualitative method was used to describe the Mathematical Representation and Mathematical Ability of Junior High School Students based on Bloom's Taxonomy. In this study, the instruments were divided into two, namely the main instrument (the researcher himself) and the supporting instruments, namely the mathematical representation test, Bloom's taxonomy test, and interviews. The results show that the overall ability of students to solve the problem of linear equations of two variables is different. This can be seen in the process of solving the mathematical problems which have not been answered correctly. Although the representation is correct, several questions have not been answered correctly. As for the mathematical ability in terms of Bloom's Taxonomy level, no subject has been able to solve level one to six questions in a row correctly.

Transformasi Kompetensi Guru Melalui Sinergi Pascasarjana UM dalam Pemanfaatan AI Guna Pengembangan Media Pembelajaran Inovatif Sinta Agustin Ningseh; Rustanto Rahardi; Tomi Listiawan; Sapti Wahyuningsih; Sukoriyanto Sukoriyanto; Amelia Rizky; A’yunnisa Tsani; Ratna Maulida
SWARNA: Jurnal Pengabdian Kepada Masyarakat Vol. 5 No. 7 (2026): SWARNA : Jurnal Pengabdian Kepada Masyarakat, Juli, 2026
Publisher : LPPM Sekolah Tinggi Ilmu Ekonomi 45 Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55681/swarna.v5i7.2909

Kurangnya kompetensi guru dalam memanfaatkan Artificial Intelligence (AI) guna mengembangkan media pembelajaran inovatif menjadi salah satu faktor yang menghambat implemnetasi kurikulum merdeka. Kegiatan Pengabdian Kepada Masyarakat (PKM) ini memiliki tujuan untuk membekali guru SMPN 21 Malang dengan kemampuan praktis dalam mengembangakan media pembelajaran inovatif Berbasis AI melalui penguasaan platform Lumi dan Canva AI yang bersifat interaktif dan konstruktif sehingga mendorong transformasi kompetensi guru. Metode pengabdian menggunakan action research design dengan pendekatan Participatory Action Research (PAR) melalui tiga tahapan berupa persiapan, pelaksanaan, dan evaluasi. Hasil kegiatan ini menunjukkan bahwa tidak hanya memberikan wawasan secara konseptual, melainkan juga pengalaman praktik yang baik bagi guru, serta menghasilakn media pembelajaran inovatif yang dapat diterapkan dalam pembelajaran. Berdasarkan temuan tersebut, sinergi pascasarjana matematika UM dan SMPN 21 Malang dapat menjadi strategi efektif untuk mendorong transformasi kompetensi guru yang relevan dengan tuntutan era digital saat ini.

Penerapan SEDVIA terhadap efektivitas media game muatan lokal berburu ubur-ubur dalam pembelajaran matematika Rustanto Rahardi; Aulia Ismi Aziz
Jurnal Tadris Matematika Vol. 9 No. 1 (2026)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2026.9.1.31-46

Mathematics is often perceived as a subject involving abstract formulas and is considered less enjoyable by some students, resulting in limited active participation during the learning process. Many teachers have attempted to engage students in mathematics learning activities through games. A game-based learning media design oriented toward local culture is expected to enhance computational skills, and its effectiveness needs to be examined. This article reports a study on the effectiveness of a local-content learning medium in the form of a non-digital game “jellyfish hunt”. The study was conducted with 25 ninth-grade students at a public junior high school in the suburban area of Malang Regency, Indonesia, using the topic of Exponential Numbers. The research focused solely on computational skills, and the analysis was carried out using the implementation of SEDVIA (Survey, Evaluation, Design, Validation, Implementation, Analysis). The analysis results showed that the average final score of the five teams was 75.4%, which falls into Category B (fairly effective), rather than Category A (effective). The effectiveness of games as pedagogical tools should be further investigated when they are used for teaching mathematical concepts.

Semiosis formal construction of limit concepts: a study on students’ comprehensive triadic understanding Beni Asyhar; Purwanto Purwanto; Rustanto Rahardi; Sudirman Sudirman
Journal of Education and Learning (EduLearn) Vol 20, No 4: November 2026
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/edulearn.v20i4.27206

This study applied Peirce’s triadic semiotic framework to map students’ representational transitions in constructing the formal definition of limit, an approach that has rarely been employed in limit research. Meanwhile, the prior studies documented students’ difficulties and instructional interventions, few explicate the internal semiotic mechanisms underlying the shift from visual intuition to the epsilon-delta formulation. Using a qualitative case study approach, this study examined students’ semiotic processes in formally constructing the concept of limit through written tests and interviews. The test was administered to 21 students for 120 minutes to assess their understanding of the limit concept, meanwhile interview with 2 students was conducted for 90 minutes for each student to explore their semiotic processes. The results indicated that the students constructed the limit concept in a formal manner through the sequential stages of representamen, object, and interpretant operating in a triadic and comprehensive. Multimodal representamens facilitate the transition toward the formal epsilon-delta conception; the object was construed as the function’s behavior near a point; and the interpretant emerges as a coherent formal understanding. Findings show that multimodal representamens facilitate students’ transition from intuition to rigorous epsilon-delta reasoning.

Students' Use and Coordination of Symbolic and Number-Line Representations in Fraction Comparison: A Qualitative Multiple-Case Study Miftahul Jannah; Rustanto Rahardi; Dahliatul Hasanah
International Journal of Learning Reformation in Elementary Education Vol. 5 No. 03 (2026): Article in Press - International Journal of Learning Reformation in Elementary
Publisher : The Indonesian Institute of Science and Technology Research

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56741/IISTR.ijlree.002408

Using more than one representation in fraction comparison does not, by itself, indicate that students have coordinated the mathematical relationships across representations. This study aimed to analyze the use and functions of symbolic and number-line representations, shifts and coordination across representations, and the final basis on which students accepted their answers as correct when comparing fractions. A qualitative multiple-case study design was employed. Twenty-four seventh-grade students completed an open-ended task comparing and . Based on variation in written representational patterns, four focal cases (S7, S11, S17, and S24) were purposively selected and participated in two rounds of task-based interviews. Data were analyzed using a hybrid deductive–inductive thematic analysis integrating written work, interview data, and cross-case comparison. The findings showed that the number line served different functions across cases, including initial solution search, visualization, explanation, and verification, whereas symbolic procedures were used to obtain, clarify, and justify results. Conversion, cross-representational consistency, and conceptual coordination also showed distinct patterns: evidence of coordination was partial for S7, could not be established for S11, was stronger within the task context for S17, and could not be assessed across representations for S24. For S7, S11, and S17, symbolic procedures carried greater justificatory weight than the number line, whereas for S24, the symbolic procedure was the only observable procedural basis. These findings highlight the importance of distinguishing representational form from function, conversion and cross-representational consistency from conceptual coordination, and representational function from justificatory function when analyzing students’ reasoning in fraction-comparison tasks.

Pengembangan LKPD Berbasis Etnomatematika Sidoarjo Kelas XI Materi Dilatasi Nabila Ekaputri Widuri; Rustanto Rahardi; Toto Nusantara
Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Vol 14 No 1 (2026)
Publisher : Universitas Dr. Soetomo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25139/smj.v14i1.11236

Mathematics plays an essential role in daily life, requires effective learning, participatory and supported by media that helps visualize abstract concepts. The Merdeka Curriculum encourages differentiated learning and provides teachers with the freedom to develop engaging learning media, including student worksheets. Integrating ethnomathematics such as the local culture of Sidoarjo into the student worksheets can make learning more meaningful. Students still experience difficulties in geometry, particularly in dilation, making the development of an ethnomathematics-based student worksheets highly relevant. This study is a Research and Development using the Dick and Carey development model, which consists of ten stages, from identifying learning objectives to conducting summative evaluations. The research subjects were 34 grade XI-1 students from MAN Sidoarjo. The study focuses on the process and results of developing an ethnomathematics-based student worksheets for grade XI that is valid, practical, and effective. Data collection techniques include interviews, observations, questionnaires, tests, and documentation, using instruments such as the Learning Objective Flow, teaching modules, student worksheets, quiz questions, teacher and student questionnaires, observation sheets, and validation sheets.The results show that the ethnomathematics-based student worksheets on dilation for grade XI is feasible for use. Validity scores reached 100% for the learning objective flow, teaching module, student questionnaire, and teacher questionnaire; the student worksheets 96%, the quiz 95%, and the observation sheet 100%. Practicality scores for student responses 92%, teacher responses at 100%, and observation sheets at 100%. The effectiveness of the student worksheets is demonstrated by learning mastery, with 97% of students successfully completing the quiz. Keywords: LKPD; Ethnomathematics; Sidoarjo; Dilation.

Berpikir Kritis Siswa Melalui Aktivitas Problem Posing dengan Konteks Masalah yang Tidak Masuk Akal Rizaldi, Muhammad; Hidayanto, Erry; Rahardi, Rustanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol. 6, No. 2
Publisher : citeus

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This study aims to describe students' critical thinking when peforming problem posing activities with the nonsense problem contexts. The result of this study shows that selected student in this study as subject reached all indicators of critical thinking. In the focus criteria, she was able to identify information from the given context. In the reason criteria, she was able to provide reasons why the given context does not make sense. In the inference criteria, she was able to pose new contexts and problems in accordance with the objectives of the initial problems so that the correct conclusions were obtained. In the situation criteria, she was able to connect relevant information, contexts and problems that she had created and the problem conclusion. In the clarity criteria, she wrote the solution of problem that she had posed correctly. In the overview criteria, she re-checked contexts and problems that she had posed, so that she got the problem solution which is systematic and complete.

Profil Pointing dan Representational Gesture Siswa dalam Menyelesaikan Soal Matematika Materi Fungsi Linear Gunawan, Ewan; Hidayanto, Erry; Rahardi, Rustanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol. 6, No. 3
Publisher : citeus

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This study used a qualitative-descriptive study with the aim of this study to describe the pointing profile and gesture representation of students in solving mathematical problems with the material of linear functions. The subjects in the study were 2 students of class X SMA Negeri 2 Dompu. The research subjects were selected by 1 student as the pointing gesture and 1 student as the representational gesture. Data was collected by providing assignments, gesture observation sheets, and interviews with selected subjects. The data were analyzed qualitatively through data reduction, data presentation, and drawing conclusions. This study resulted that the pointing gesture helped P1 describe the answer completion plan, helped focus himself to perform calculations, generate ideas, and facilitate the description of information from questions and answers as well as check and understand questions and answers when solving questions. Representational gesture helps R1 to describe the steps to understand the graphic related to the problem, helps focus on understanding the problem and can be careful in solving the problem. Also plays a role in concretizing ideas/ideas that are being worked on or are being thought of by students.

Profil Komunikasi Matematis Tulis Siswa Pembelajaran Daring dalam Menyelesaikan Masalah Bangun Ruang Sisi Lengkung Cahyani, Nia; Muksar, Makbul; Rahardi, Rustanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol. 6, No. 7
Publisher : citeus

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The purpose of this study is to describe the profile of online learning students’ written mathematical communication in solving problems about curved three dimensional objects. The problem given is a contextual problem and delivered online to 2 students in Bimbingan Belajar Gracia in 9th grade. The indicator is adapted from previous research and is using QCAI criteria. The result shows that one of two students can respond clearly and state verbal sentence to mathematical expression. Both students are less able to communicate their mathematical thinking to others and haven’t been able to give argumentation to support their answer.

Co-Authors Abdur Rahman As’ari Agusman, Agusman Alimuddin, Fauziyyah Alip Rahmawati Zahrotun Nisak Amelia Rizky Anik Rizka Rahmawati Anita Dewi Utami Ardan S, Muhammad Rey Ardan Saputra, Muhammad Rey Arnaningtyas Rofi'i Arumanita, Destri Mega Arwan Mhd. Said Astuti, Ririn Novia Aulia Ismi Aziz A’yunnisa Tsani Beni Asyhar Cahyani, Nia Cahyaningtyas, Octavita Cholis Sa’dijah Christiyanto, Dana Yuli Christiyanto, Dana Yuli Dahliatul Hasanah Dana Yuli Christiyanto Elis Dwi Wulandari Emanuel, Endrayana Putut Laksminto Erry Hidayanto Ewan Gunawan Faradila Nur Sabrina Fauziyyah Alimuddin Ghofiqi, Maulana Al - Gunawan, Ewan HAFIIZH, MOCHAMMAD Herdiansyah, Adi Hery Susanto Hijriani, Lailin Huda, Ristianur I Made Sulandra I Nengah Parta Indriati Nurul Hidayah Irianto, Savitri Oktavia Izzah Khairu Rahmah Janah, Miftakul Khalisa Naura Imanda Lailin Hijriani Lailin Hijriani Lestary, Ratnah Lucky Tri Oktaviana Lutfika Zayyenu Zuhairini M Zainul Arifin Makbul Muksar Maulana Al - Ghofiqi Mei Dwi Jayanti Miftahul Jannah Millenia Nugraha, Hermawan Septa Muhammad Rizaldi Musriroh, Risna Zulfa Nabila Ekaputri Widuri Na’imah, Siti Nia Cahyani Nopem Kusumaningtyas Sumitro Novi Nurhayati Nugraha, Hermawan Septa Millenia Nursani Indah Pratiwi Octavita Cahyaningtyas Okviarini, Dewi Permadi, Hendro Prasetyo, Yudha Eka Purwanto Purwanto Purwanto Purwanto Putra, Zuhadur Ra'is Ariyono Qomarudin, Moch Hamzah Rachmat Wasqita Rahma Wahyu Rahmadani, Desi Ratna Maulida RIA ANGGRAINI Ria Risyandani Akhidayati Risna Zulfa Musriroh Rizaldi, Muhammad Saidah Ajilatun Nahdawiyah Sapti Wahyuningsih, Sapti Sinta Agustin Ningseh Sisworo Siti Na’imah Slamet . Subanji Subanji Sudirman Sudirman Sudirman Sudirman Sukoriyanto Susiswo Suwanto Suwanto Swasono Rahardjo Syaiful Hamzah Nasution Tjang Daniel Chandra Tomi Listiawan Toto Nusantara Trianingsih Eni Lestari Widuri, Nabila Ekaputri Wulandari, Elis Dwi Ziadatul Muslimah, Khilma Zuhadur Ra'is Ariyono Putra

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