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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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Kemampuan Pemecahan Masalah Matematis pada Penyelesaian Soal Jumping Task Berdasarkan Adversity Quotient Peserta Didik Prasetyo, Yudha Eka; Rahardi, Rustanto; Rahmadani, Desi
Jambura Journal of Mathematics Education Vol 6, No 1: Maret 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v6i1.30230

Mathematical problem-solving ability is essential in learning activities at school and real life. Until now, students' abilities in solving mathematical problems vary, especially in solving non-routine problems, such as jumping task problems. These differences can be influenced by several factors, one of which is the adversity quotient. This study determined the mathematical problem-solving ability according to Polya's stages to solve jumping task problems based on students' adversity quotient. This study was conducted by involving 22 students in one of the junior high schools (SMP) in Malang Regency as research subjects. In this study, the researcher acted as the main instrument assisted by the Adversity Response Profile (ARP) questionnaire, problem-solving question sheets, and semi-structured interview guidelines. This study began with the provision of a questionnaire. Continued by working on test questions and selecting three students to conduct interviews. This study found that climber students tend to be more able to solve problems according to Polya's stages tactically and effectively, and have better verbal skills. Students have also been able to understand the issues contained in the jumping task questions. However, all students tend to skip the stage of re-examining the process and answers.

An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems Agusman, Agusman; Purwanto, Purwanto; Rahardi, Rustanto
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 10 Issue 3 July 2025
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v10i3.8911

Critical thinking is a fundamental competence in 21st-century education, particularly in mathematics, where students frequently encounter contradictory information that requires logical reasoning and reflective judgment. This study explores the stages of critical thinking among junior high school students when solving contradictory mathematical problems. A qualitative descriptive design was employed, involving two eighth-grade students from SMP Negeri 01 Sumber Pucung, Malang, who were selected based on their skeptical responses to illogical mathematical tasks. Data were collected through open-ended tests and interviews, then analyzed to capture reasoning patterns and problem-solving strategies. The findings revealed three distinct stages of mathematical critical thinking: (1) Initial Stage (interpretation), where anomalies are sensed; (2) Tracing Stage (analysis), where contradictions are identified; and (3) Global View Stage (evaluation and inference), where holistic reasoning and alternative solutions are proposed. Subject 1 demonstrated conceptual awareness, cognitive flexibility, and evaluative rigor, while Subject 2 showed procedural accuracy but limited inferential precision. These findings suggest that contradictory problems can serve as effective instructional tools for balancing procedural and conceptual reasoning. Practical implications highlight the need for integrating contradictory problems into mathematics instruction to promote metacognitive reflection. Future research should expand participant diversity, employ longitudinal and experimental designs, and explore affective dispositions influencing students’ critical engagement.

Development of Differentiate Student Worksheets: an Efforts to Improve Student Argumentation Ability Putra, Zuhadur Ra'is Ariyono; Rahardi, Rustanto; Sisworo, Sisworo
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 1 (2024): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i1.17426

Online learning experiences have been associated with reduced learning outcomes and limited student engagement in argumentation. To address this issue, the focus on teaching materials becomes crucial, especially in promoting differentiated learning to accommodate pandemic-induced learning losses. A prime candidate for enhancing argumentation skills is the study of quadrilaterals within mathematics. Mastering the quadrilateral concept and its argumentative structure is pivotal for students. Hence, the creation of student worksheets employing differentiated learning principles is imperative. This research aims to develop valid, practical, and effective quadrilateral worksheets with a focus on adversity quotient differentiation. The ADDIE model guides the development process through Analysis, Design, Development, Implementation, and Evaluation stages. Rigorous evaluation, including expert validation (83.8% very valid), field trials (91% very practical), and N-Gain score analysis (0.73, indicating effectiveness), underscores the quality of the developed worksheets. In conclusion, the adversity quotient differentiated quadrilateral worksheets has been successfully crafted to enhance students' argumentation skills. It is deemed valid, practical, and effective in improving learning outcomes. This initiative holds potential for addressing the challenges posed by online learning and contributes to students' academic development.

Pengenalan Media Manipulatif untuk Mendukung Konsep Matematika pada Siswa Kelas XII SMA Negeri 1 Gondang Nganjuk Dewi Utami, Anita; Rustanto Rahardi; Mochammad Hafiizh; Lucky Tri Oktaviana
Room of Civil Society Development Vol. 2 No. 2 (2023): Room of Civil Society Development
Publisher : Lembaga Riset dan Inovasi Masyarakat Madani

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59110/rcsd.170

Media manipulatif merupakan berbagai jenis benda yang dapat dimanipulasi untuk membantu siswa dalam memahami konsep matematis. Tujuan dari pengabdian ini adalah mengenalkan media manipulatif untuk mendukung pemahaman konsep matematis pada Siswa SMA Negeri 1 Gondang Nganjuk. Metode yang digunakan melalui empat tahap yaitu tahap pertama adalah persiapan tim dari Departemen Matematika. Tahap kedua adalah diskusi antar tim pengabdi tentang pemanfaatan media manipulatif. Tahap ketiga adalah koordinasi antara tim pengabdi dengan pihak sekolah. Tahap keempat yaitu penyampaian pemateri kepada siswa kelas XII SMA Negeri 1 Gondang Nganjuk. Pengabdian telah terlaksana dengan cukup baik. Hal ini dapat dilihat dari partisipasi mitra dalam pelaksanaan kegiatan pkm sangat antusias dan aktif. Tingkat keberhasilan pkm ini didasarkan pada indikator partisipasi peserta dalam pelaksanaan kegiatan dan daya serap peserta dari materi yang diberikan yaitu: (1) partisipasi peserta sangat tinggi, telah dibuktikan dengan kehadiran siswa pada kegiatan secara penuh dan selalu aktif mengemukakan pendapat serta antusias saat pelaksanaan. (2) Daya serap peserta pkm dalam penguasaan membuat media manipulatif memiliki rata-rata baik.

Analisis Kesalahan Siswa dalam Penyelesaian Masalah Aritmatika Sosial Tipe HOTS dengan Prosedur Polya Irianto, Savitri Oktavia; Nusantara, Toto; Rahardi, Rustanto
BRILIANT: Jurnal Riset dan Konseptual Vol 9 No 4 (2024): Volume 9 Nomor 4, November 2024
Publisher : Universitas Nahdlatul Ulama Blitar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28926/briliant.v9i4.1769

This study is motivated by the importance of social arithmetic in students' social life. This study uses a descriptive qualitative approach that aims to identify students' errors in solving HOTS type social arithmetic problems with the Polya procedure. The subjects of this study were grade VII students of SMP Taman Siswa Malang. Data were obtained from the results of the HOTS type social arithmetic test as many as 2 items in the form of descriptions. The results of this study are errors in the stage of understanding the problem of 30.10% and are included in the fairly high category, errors in the stage of planning problem solving of 28.28% which are included in the fairly high category, errors in the stage of carrying out problem solving plans of 06.26% and are included in the very small category, and errors in the stage of re-checking the solutions obtained of 28.68% and are included in the fairly high category. The causes of errors made by students are quite diverse, one of which is that students forget to write down information known from the questions, students are unable to analyze the existing information, students are not careful when calculating, and students are not used to re-examining what has been done.

Analisis Kesalahan Siswa dalam Menyelesaikan Soal Persamaan dan Pertidaksamaan Nilai Mutlak Berdasarkan Teori Newman Cahyaningtyas, Octavita; Rahardi, Rustanto; Irawati, Santi
Edumatica : Jurnal Pendidikan Matematika Vol 11 No 3 (2021): Edumatica: Jurnal Pendidikan Matematika (Desember 2022)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

The purpose of this study is to describe the types of errors that students make in solving absolute value equations and inequalities using Newman's theory (NEA). The method used in this study is a qualitative descriptive method. Questions were given to 30 students of class X SMA Negeri 1 Sumberpucung. The data collection techniques in this study were the results of students' written tests and the results of interviews related to the results of students' written tests. Based on the results of the research conducted, it is known that there are no students who experience reading errors on all questions while encoding error in answers are the mistakes that most students make. This happens because when students make mistakes in understanding, students will automatically make mistakes in understanding, transforming, processing skill and encoding error. The mistakes that students make are based on their lack of understanding of the concept of absolute value. Because if students understand the existing concepts correctly, they will be able to solve various existing problems. So that teachers are advised to provide meaningful learning for students so that students do not easily forget the concept of a material. From this research, it can be concluded that the types of errors that students make are understanding, transforming, processing skill and encoding error.

Does Domain of Absolute Value Function Always Positive? Commognitive-Conflict Analysis of Students of First Semester Emanuel, Endrayana Putut Laksminto; Nusantara, Toto; Rahardi, Rustanto
QALAMUNA: Jurnal Pendidikan, Sosial, dan Agama Vol. 16 No. 2 (2024): Qalamuna - Jurnal Pendidikan, Sosial, dan Agama
Publisher : Lembaga Penerbitan dan Publikasi Ilmiah Program Pascasarjana IAI Sunan Giri Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37680/qalamuna.v16i2.5169

This research aims to analyze the result of students' work in finding the solution to math-problems about absolute functions. Commognitive's analysis was used to analyze student works in this qualitative research. This research's methods were, namely, preparing, collecting data, transcription data, and analyzing data. A total of 25 students from two universities were given math questions, and two were selected as research subjects. The selection of subjects is based on different and exciting work results. The research subjects attended in-depth interviews to learn more about the commognitive's components. The results showed that commognitive conflict occurred in the word use component when the subject experienced errors in interpreting the data on the questions. Subjects cannot correctly describe the graphic requested in the questions (visual mediators). Describing what is known in the problem is also incompatible (narratives). Subjects experienced the incorrect routines. Based on the results of in-depth interviews, it can be said that the commognitive conflicts occurred because of a lack of understanding of the concepts.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59110/rcsd.170

Kemampuan Pemecahan Masalah Siswa SMP Negeri 1 Papar pada Materi Bangun Ruang Arumanita, Destri Mega; Susanto, Hery; Rahardi, Rustanto
Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Vol 4 No 2 (2018): JMEN : Jurnal Math Educator Nusantara
Publisher : Program Studi Pendidikan Matematika, Universitas Nusantara PGRI Kediri

Abstrak: Kemampuan pemecahan masalah adalah suatu kecakapan atau potensi yang dimiliki dalam diri individu untuk menyelesaiakan suatu masalah dari permasalahan yang berbeda-beda. Tujuan penelitian ini adalah mendeskripsikan kemampuan pemecahan masalah pada tingkatan sangat baik dan kurang. Kemampuan ini diteliti terkait dengan materi bangun ruang dengan menggunakan pendekatan kualitatif, dengan sampel 4 siswa SMPN 1 Papar kelas VIII-I. Teknik pengumpulan data yang digunakan dalam penelitian ini adalah tes dan wawancara. Hasil penelitian menunjukkan bahwa sampel berkemampuan: (1) Pada tingkat sangat baik, mengalami kesulitan dalam menstranfer pengetahuan (2) Pada tingkat baik, mengalami kesulitan dalam memahami dan memvisualisasikan konsep matematika karena terbiasa dengan soal-soal rutin (3) Pada tingkat cukup baik, mengalami kesulitan yaitu lemah dalam perhitungan (4) Pada tingkat sangat kurang, mengalami kesulitan yaitu lemah dalam melakukan perhitungan dan membuat koneksi. Kata Kunci: kemampuan pemecahan masalah, tingkat kemampuan pemecahan masalah, kesulitan, bangun ruang Abstract: The ability to solve problems is a skill or potential possessed in an individual to solve a problem from different problems. The purpose of this study is to describe problem-solving abilities at very good and poor levels. This ability was examined in relation to space building material using a qualitative approach, with a sample of 4 students of Papar 1 Junior High School class VIII-I. Data collection techniques used in this study are tests and interviews. The results showed that the sample was capable of: (1) at a very good level, having difficulty in transferring knowledge (2) At a good level, having difficulty understanding and visualizing mathematical concepts because they are familiar with routine questions (3) At a fairly good level, experiencing difficulties that is weak in calculation (4) At a very low level, having difficulties is weak in performing calculations and making connections. Keywords: problem-solving ability, level of problem-solving ability, difficulty, building space

KESULITAN SISWA DALAM MENYELESAIKAN SOAL AKM PADA KONTEN DOMAIN DATA DAN KETIDAKPASTIAN Ria Risyandani Akhidayati; Purwanto Purwanto; Rustanto Rahardi
EDU-MAT: Jurnal Pendidikan Matematika Vol 12, No 1 (2024)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v12i1.17052

Penelitian ini bertujuan untuk mendeskripsikan kesulitan siswa dalam mengerjakan soal Asesmen kompetensi minimum (AKM) pada domain data dan ketidakpastian. Penelitian ini merupakan penelitian kualitatif dengan jenis penelitian deskriptif. Subjek penelitian ini ada dua siswa dari 31 siswa siswa di SMP Plus Hidayatul Mubtadiin. Instrument yang digunakan adalah soal AKM. Analisis data dilakukan sesuai dengan proses pemecahan masalah pada OECD yaitu merumuskan masalah (formulate), menerapkan (employ), dan menafsirkan dan mengevaluasi (interpret and evaluate). Hasil penelitian yaitu, bahwa 1) pada proses merumuskan, siswa mengalami kesulitan dalam memahami masalah sehingga mengalami kesulitan juga dalam mengidentifikasi informasi yang relevan pada soal AKM, 2) pada proses menerapkan, siswa mengalami kesulitan dalam menerapkan konsep matematika sehingga kesulitan dalam menuliskan langkah-langkah penyelesaian pada soal AKM, 3) pada proses menafsirkan, siswa tidak menarik kesimpulan dari pemecahan masalah yang diberikan ke dalam konteks nyata karena kurang terbiasa..Kata kunci: kesulitan, AKM, data dan ketidakpastian. Abstract:This study aims to describe students' difficulties in working on Minimum Competency Assessment questions in the data and uncertainty domain. This research is a qualitative research with a descriptive research type. The subjects of this study were two students from 31 students of SMP Plus Hidayatul Mubtadiin. The instrument used was the Minimum Competency Assessment questions. Data analysis is performed in accordance with the problem solving proces in OECD that is formulate, employ, interpred and evaluate. The results of the research are, that 1) in the process of formulating, students have difficulty understanding the problem so they have difficulty also in identifying relevant information on Minimum Competency Assessment questions, 2) in the process of applying, students have difficulty in applying mathematical concepts so that it is difficult in writing down the steps completion of Minimum Competency Assessment questions, 3) in the process of interpreting, students do not draw conclusions from problem solving given in real contexts because they are not used to it. Keywords: difficulty, Minimum Competency Assessment, data and uncertainty

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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