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Ethnomathematical Insights into Student Errors: Javanese Calendar and Pigeonhole Principle Ahmad Ryan Hidayat; Ali Shodikin; Salma Hasna Hamiydah
Journal of Current Studies in SDGs Vol. 1 No. 3 (2025): September
Publisher : Sekolah Tinggi Agama Islam Sabilul Muttaqin Mojokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63230/jocsis.1.3.58

Abstract

Objective: This article aims to examine the implications for student learning by investigating student errors through the lens of the pigeonhole principle and the Javanese calendar. Method: The study used a descriptive qualitative research method and included six high school students and vocational students. Data collection involved tests and interviews. The researchers focused on Ethnomathematics problems related to the Javanese calendar system. Result: The analysis of student responses revealed several types of errors based on Watson's criteria for error analysis in problem-solving. These errors included inappropriate data, inappropriate procedure, and undirected manipulation. Students struggled with understanding the given information, selecting appropriate procedures, and applying logical reasoning. Novelty: Interestingly, the researchers found that when the students were provided with guidance and assistance, they were able to grasp the concepts and successfully solve the problems. This suggests that the students had the potential to understand the material but lacked prior exposure to the concepts, particularly the pigeonhole principle.
Ethnomathematical Insights into Student Errors: Javanese Calendar and Pigeonhole Principle Ahmad Ryan Hidayat; Ali Shodikin; Salma Hasna Hamiydah
Journal of Current Studies in SDGs Vol. 1 No. 3 (2025): September
Publisher : Sekolah Tinggi Agama Islam Sabilul Muttaqin Mojokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63230/jocsis.1.3.58

Abstract

Objective: This article aims to examine the implications for student learning by investigating student errors through the lens of the pigeonhole principle and the Javanese calendar. Method: The study used a descriptive qualitative research method and included six high school students and vocational students. Data collection involved tests and interviews. The researchers focused on Ethnomathematics problems related to the Javanese calendar system. Result: The analysis of student responses revealed several types of errors based on Watson's criteria for error analysis in problem-solving. These errors included inappropriate data, inappropriate procedure, and undirected manipulation. Students struggled with understanding the given information, selecting appropriate procedures, and applying logical reasoning. Novelty: Interestingly, the researchers found that when the students were provided with guidance and assistance, they were able to grasp the concepts and successfully solve the problems. This suggests that the students had the potential to understand the material but lacked prior exposure to the concepts, particularly the pigeonhole principle.
Analysis of junior high school students’ algebraic reasoning abilities in solving problems viewed from the perspective of Adversity Quotient (AQ) Diyah, Fima Hayu Ning; Shodikin, Ali
RIGGS: Journal of Artificial Intelligence and Digital Business Vol. 5 No. 1 (2026): Februari - April
Publisher : Prodi Bisnis Digital Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/riggs.v5i1.7263

Abstract

This study is motivated by the relatively low algebraic abilities of Indonesian students, particularly in transforming contextual problems into formal mathematical representations, as highlighted in recent mathematics education findings . Beyond cognitive factors, students’ success in overcoming such difficulties is strongly influenced by their mental resilience, known as Adversity Quotient (AQ). Therefore, this research aims to describe junior high school students’ algebraic reasoning abilities in problem-solving from the perspective of AQ. A descriptive qualitative approach was employed, involving three ninth-grade students representing each AQ category: climber, camper, and quitter. The subjects were selected through stratified purposive sampling based on the results of the Adversity Response Profile (ARP) questionnaire. Data were collected using written algebraic reasoning tasks integrating social arithmetic and two-variable linear inequalities, as well as in-depth semi-structured interviews. Data analysis followed the Miles, Huberman, and Saldaña model, including data condensation, data display, and conclusion drawing. The findings indicate significant differences in algebraic reasoning across AQ types. Climber students successfully demonstrated all stages of algebraic reasoning—pattern seeking, pattern recognition, and generalization—supported by persistence and adaptive strategies. Camper students showed adequate ability in identifying and recognizing patterns but were limited in formal representation and generalization. In contrast, quitter students experienced substantial difficulties at almost all stages, reflecting low persistence. These results confirm that AQ plays a crucial role in shaping students’ algebraic reasoning and problem-solving performance.
Developing Computer Science Unplugged Worksheets to Enhance Second-Grade Number Concept Understanding Titik Purnamasari; Raden Sulaiman; Ali Shodikin
Journal of Mathematics Education and Science Vol. 9 No. 1 (2026): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v9i1.6341

Abstract

This study aimed to develop and evaluate Computer Science Unplugged (CS Unplugged)–based student worksheets to enhance second-grade students’ understanding of number concepts. This study employed a Research and Development approach using the ADDIE model and involved 26 second‑grade students in a limited practical trial. The developed worksheets were evaluated through expert validation, practicality testing based on teacher and student responses, and effectiveness testing using a one-group pretest–posttest design. The results indicated that the worksheets achieved a very high level of validity (media: 92.67%; content: 91.67%) and practicality (students: 91.38%; teacher: 90%). The effectiveness test showed a substantial improvement in students’ learning outcomes, with the mean score increasing from 67 in the pretest to 90.38 in the posttest, and an N-gain score of 0.73, categorized as high. These findings demonstrate that CS Unplugged–based worksheets are valid, practical, and effective for improving students’ understanding of number concepts while supporting the integration of computational thinking in elementary mathematics education.  
Students’ Abductive Reasoning in Solving Quadratic Pattern Generalization Problem Based on the Initial Mathematical Ability Istianatun Nabilah; Ali Shodikin
Journal of Mathematical Pedagogy (JoMP) Vol. 6 No. 2: July 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v6n2.p72-93

Abstract

The purpose of this study was to describe students' abductive reasoning in solving quadratic pattern generalization problem based on initial mathematical ability. Abductive reasoning is a process of drawing conclusions based on certain facts where the conclusion is still an assumption that can be revised based on new information. This type of research is descriptive research with a qualitative approach. The subjects of this study were 6 junior high school students based on the category of students' initial mathematical ability, namely 2 students with high initial mathematical ability, 2 students with moderate initial mathematical ability, and 2 students with low initial mathematical ability. The data collection technique was carried out through an initial mathematical ability test to determine the research subjects, generalization problems of quadratic patterns to identify students' abductive reasoning processes, and interviews. Data analysis was carried out based on the process and indicators of abductive reasoning. The results of the study showed that in the process of (1) realizing the existence of abductive problems, all subjects had never solved generalization problems of quadratic patterns so that the problem became a surprise because it was something new that was obtained, all subjects also found differences in generalization problems of quadratic patterns with number pattern problems that had been encountered before, all subjects carried out this process as an initial process of abductive reasoning; (2) identifying solutions, all subjects explained the discrepancy between the information obtained from the facts of observations and previous knowledge, namely students with high and moderate initial mathematical abilities explained the difference in the given generalization questions on quadratic patterns only presenting the 4th pattern, while the number pattern questions that have been encountered usually contain patterns 1 to 4 in sequence, students with low initial mathematical abilities explained the difference lies in the process of working on it; all subjects mentioned alternative solution guesses that might help to solve the problem, namely all subjects made guesses about different pattern shapes and determined the fixed difference in the number of black circles in each pattern; students with high initial mathematical abilities grouped the black circles into three shapes, using the quadratic formula, the first and second level arithmetic sequence formulas, and obtained two alternative solutions; students with moderate initial mathematical abilities used the first level arithmetic sequence formula and obtained one alternative solution; while students with low initial mathematical abilities did not get an alternative solution; (3) choosing the best solution, students with high and medium initial mathematical ability choose a certain solution from the alternative solutions provided and explain the reasons for choosing this solution as the best solution, while students with low initial mathematical ability do not; students with high initial mathematical ability choose one formula from two formulas obtained because this formula is easier; students with low initial mathematical ability only get one formula and choose this formula because it is easy to use (4) assimilating the chosen solution, students with high and medium initial mathematical ability use the chosen solution to solve the problem, while students with low initial mathematical ability do not; the solution used by students with high initial mathematical ability produces the correct answer, while the solution used by students with medium initial mathematical ability can be the right solution if it is adjusted to the estimated pattern shape that has been made. Keywords: abductive reasoning, initial mathematical ability, pattern generalization, quadratic pattern generalization problem.
Exploring Student’s Computational Thinking in Number Line Patterns through the Dakon Context Rahma Mutiari; Ali Shodikin
Journal of Mathematical Pedagogy (JoMP) Vol. 7 No. 1: December 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v7n1.p43-53

Abstract

This study explores how the traditional game Dakon supports students’ computational thinking in understanding number patterns. Computational thinking ability in this study includes four main indicators: decomposition, pattern recognition, abstraction, and algorithm. This study employed a case study design and a qualitative methodology and involved six students in grade VIII of junior high school who were purposively selected based on their level of mathematical ability. Data collection was conducted through observation of Dakon playing activities, number pattern-based written tests, semi-structured interviews as well as records. Data analysis was carried out, with triangulation of data from various sources to increase validity. The findings highlight strengths in decomposition and pattern recognition, while indicating the need for scaffolding in abstraction and algorithmic strategies. This finding confirms that the Dakon game not only strengthens mathematical understanding through a local cultural context, but is also able to build a deep and meaningful foundation of computational thinking. This research recommends the integration of traditional games as part of contextualized and fun math learning strategies to support acquiring skills for the twenty-first century.
Effectiveness of the MathShark Application in Enhancing Students’ Problem-Solving Skills in Exponent Learning: A STEM-Integrated Approach Inaz Iffarani Sofiana; Ali Shodikin
Journal of Mathematical Pedagogy (JoMP) Vol. 7 No. 1: December 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v7n1.p35-42

Abstract

Learning exponent concepts remains challenging for middle school students, particularly in developing problem-solving skills. This study aimed to examine the effectiveness of the MathShark game-based application integrated with a STEM approach compared to conventional mathematics instruction. A quasi-experimental design with a pretest–posttest control group was employed. The participants consisted of two groups of middle school students: an experimental group using the MathShark application and a control group receiving traditional instruction. Data were collected through problem-solving tests and analyzed using the Mann–Whitney U test and the Wilcoxon Signed-Rank test. The results indicated a significant improvement in students’ problem-solving skills in the experimental group compared to the control group (p < 0.05). These findings suggest that integrating game-based applications within a STEM framework has a positive effect on students’ understanding of exponent concepts and their problem-solving abilities.
Students’ commognition in solving linear programming question Achmad Ghozi Khoiruddin; Ali Shodikin; Evangelista Lus Windyana Palupi
Jurnal Elemen Vol 12 No 2 (2026): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i2.34184

Abstract

Although mathematical communication is considered important, students still struggle to express mathematical ideas effectively. Therefore, this research is going to use a commognitive framework that provides a valuable lens for analyzing and enhancing students' mathematical communication skills. The purpose of this study is to describe students' cognition in solving linear programming problems. The researcher selected six students for interviews based on the consistency of their answers and then selected two students from the six students who had been interviewed. Commognitive analysis shows striking differences in mathematical thinking and communication between DAJ and ED subjects, who are students with high and low commognitive abilities, respectively. Students with high commognitive abilities tend to be more comprehensive and exploratory. In contrast, a student with low commognitive ability is relatively more limited and procedural. This implies that teachers cannot judge understanding only by whether students reach the correct answer. They must also attend to how students talk, write, and represent mathematics, since these discursive moves reveal whether their routines are genuinely conceptual or merely imitative. As a result, it is advised that future studies include a group discussion, better-developed question types, and more specified student criteria.
Sapta Bamboo Karangan Sebagai Upaya pemberdayaan Masyarakat Penghasil Bambu Dalam Menangani Sampah Desa Ali Shodikin; Sa’abdillah Abas; Gita Ainul Hidayah
Jurnal Pengabdian Masyarakat : BAKTI KITA Vol. 1 No. 1 (2020): Jurnal Bakti Kita
Publisher : LPPM Universitas Islam Darul 'Ulum Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/baktikita.v1i1.1925

Abstract

Masalah sampah hingga saat ini masih menjadi masalah laten yang belum tertangani secara optimal, mulai dari pengumpulan hingga pengolahan. Sayangnya masalah ini tidak hanya dialami oleh daerah perkotaan, namun juga masalah di daerah pedesaaan. Di Desa Karangan Kecamatan Kepohbaru Kabupaten Bojonegoro, contohnya, masih banyak ditemukan sampah yang berserakan di jalan, selokan, bahkan di halaman rumah warga. Salah satu penyebabnya adalah kurangnya kesadaran masyarakat dan ketidaktersediaan tempat sampah. Gerakan Sapta Bamboo Karangan yang diinisiasi oleh KKN Universitas Islam Darul Ulum merupakan program pemberdayaan masyarakat dalam upaya menangani sampah di Desa Karangan. Tujuan program pemberdayaan masyarakat ini adalah memberikan kesadaran kepada masyarakat akan pentingnya mengelola sampah desa. Metode yang digunakan dalam program pemberdayaan ini adalah pendekatan preventif dan kuratif diantaranya ajakan hidup bersih melalui kerja bakti bersih desa, pemanfaatan bambu menjadi tempat sampah, dan pemanfaatan sampah plastik menjadi berbagai kerajinan. Hasil dari program ini terjalinnya kerjasama masyarakat Desa Karangan dalam membersihkan sampah sebagai bentuk kesadaran masyarakat akan pentingnya mengelola sampah desa dan tersedianya tempat sampah dari bahan bambu dan hasil kerajinan dari sampah plastik. Disarankan program pemberdayaan selanjutnya bisa melanjutkan program ini dan lebih intensif pada tahapan kuratif dalam hal pemanfaatan sampah.
Kemampuan Pemecahan Masalah Kolaboratif Siswa SMA Ditinjau dari Kemampuan Matematis Siswa Dwi Ayu Emelia; Ali Shodikin
Educational Journal Vol. 1 No. 4 (2026): MAY-JULY
Publisher : Indo Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/n74ev886

Abstract

Penyelesaian masalah kolaboratif adalah suatu proses di mana siswa bekerja sama untuk memahami masalah, bertukar ide, mengembangkan strategi solusi, dan mengevaluasi solusi secara kolektif. Melalui proses ini, siswa membangun pemahaman matematika secara kolaboratif, sehingga mendukung pengembangan kemampuan pemecahan masalah matematika mereka. Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemecahan masalah kolaboratif siswa dengan kemampuan matematika tinggi, sedang, dan rendah dalam menyelesaikan masalah matematika tentang barisan dan deret. Penelitian ini menggunakan pendekatan kualitatif dengan desain penelitian deskriptif. Partisipan penelitian terdiri dari enam siswa kelas sepuluh, yang dibagi menjadi tiga kelompok heterogen: kelompok kemampuan matematika tinggi-sedang, tinggi-rendah, dan sedang-rendah. Data dikumpulkan melalui tes kemampuan matematika, tes pemecahan masalah kolaboratif, observasi, dan wawancara. Hasil penelitian menunjukkan bahwa ketiga kelompok tersebut menunjukkan empat tahapan pemecahan masalah kolaboratif, yaitu eksplorasi dan pemahaman, representasi dan formulasi, perencanaan dan pelaksanaan, serta pemantauan dan refleksi. Perbedaan kemampuan matematika memengaruhi sifat kontribusi masing-masing anggota selama proses kolaboratif. Siswa dengan kemampuan matematika tinggi dan sedang cenderung berperan lebih aktif dalam memimpin diskusi dan mengembangkan strategi penyelesaian, sedangkan siswa dengan kemampuan matematika rendah terutama berkontribusi dengan menanggapi ide, melaksanakan tugas yang diberikan, dan merefleksikan proses pemecahan masalah. Meskipun demikian, semua kelompok mampu menyelesaikan masalah secara kolaboratif melalui komunikasi, kerja sama, dan pembagian peran.
Co-Authors Abdul Halim Abdullah Abdullah, Abdul Halim Abdur Rohim Achmad Ghozi Khoiruddin Adinda Aulia Rahmawati AGUNG LUKITO Ahmad Rohman Ahmad Ryan Hidayat Ali muhajir, Ali Alvenna Nursyafira Angesti Gita Kartika Anggita Auni Anik Novianti Anik Novianti, Anik Anisa Firdaus Asmana, Arezqi Tunggal Ayu Lestari Balqisway Alima Brigita Febi Valensiana Dessy Wulandari, Dessy Didan Rizky Adha Didan Rizky Adha Diyah, Fima Hayu Ning Dwi Ayu Emelia Ekawati, Dea Wulan Erieza Dwi Pratiwi Erina Ellen Rusmana Evangelista Lus Windyana Palupi Faiqotul Himmah Faizah, Siti Fathimatuz Auriza Rosetia Febriani, Indri Rohmatul Fakhri Fernanda, Betita Nadia Fuadah, Putri Fithrotul Galleh Dwi Samudro Galleh Dwi Samudro Gita Ainul Hidayah Hendrik Furqon Hendrik Furqon Heny Ekawati Haryono Hidayati, Alifia Putri Hidayatul Maratin Hilaria Yesieka Ayu Wulandari Holyness Nurdin Singadimedja Ida Ayu Putu Sri Widnyani Ifana Putri Adelia Ihsani, Ulynnuha Aulia Imam Rofiki Imro’atus Solikha Inaz Iffarani Sofiana Indraswari, Annisa Yora Innes Nurazzahra Intan Sari Rufiana Iqbal Farrel Bramasta Ismah, Arina Izzatil Ismail Ismail Istianatun Nabilah Janet Trineke Manoy Kartika Rahmania Putri Khafidhoh Nurul Aini Khusnah, Khotimatul Kusnul Khotimah Mas Fiyah MASRIYAH Masriyah Mega Fatimah Rosana Meliani Dwi Pertiwi Mohammad Nurwahid Mohammad Yusuf Randy Mudhiah, Siti Mustofah Mustofah Nadiayah, Ishomah Nadifah, Lailatul Naharia Safitri Nasha Aqilatuz Zahroh Nazilatun Ni&#039;mah Niawati, Zulin Nindya Tifa Novitasari Novandi Kevin Pratama Novandi Kevin Pratama Novandi Kevin Pratama Novandi Kevin Pratama Nugroho, Setiaji Nugroho, Setiaji Nur Imro’atus Solikha Nur Imro’atus Solikha Nur Imro’atus Solikha Nur Imro’atus Solikha Nurkumala, Silvia Eka Nurzatulshima Kamaruddin Oktavia, Siwi Putri Pratama, Novandi Kevin Prismahardi Aji Riyantoko Putri Dian Shafira Putri, Kharisma Dwisinta RADEN SULAIMAN Rahaju, Endah Budi Rahayu, Tri Retno Rahma Mutiari Ramidha, Nur Fitriani Ratih Sasmita Habsa Rika Nur Safitri Riska Fatikkatin Ri’ayatul Khoiriyah Rooselyna Ekawati Salma Hasna Hamiydah Sa’abdillah Abas Setiaji Nugroho Siti Amiroch, Siti Siti Daiyatul Hamidah Siti Faizah Siti Mudhiah Siti Nur Millah Slamet Arifin Solikha, Nur Imro’atus Sri Rahayuningsih SUSANAH Sutardi Sutardi Syifaurrohman, Muhammad Huda Tatik Retno Murniasih Tatik Tatik Titik Purnamasari Tri Ratna Rahayu Valensiana, Brigita Febi Wahyu Kyestiati Sumarno Yunis Setiyowati Yurizka Melia Sari