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The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach Khathibul Umam Zaid Nugroho; Y. L. Sukestiyarno; Adi Nurcahyo
Edumatika Vol 4 No 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v4i2.1015

Abstract

Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
The Relationship among Self-Efficacy, Mathematical Concepts Understanding, Creative Thinking Skills, Mathematical Problem-Solving Skills, and Mathematics Learning Outcomes Khathibul Umam Zaid Nugroho; Eddy Izwanto; Wahyu Widada; Norma Alias; Abdurrobbil Falaq Dwi Anggoro; Dewi Herawaty; Rahmat Jumri; Shadaqnas Dewarif Tri Anggoro
Edumatika Vol 6 No 2 (2023): November 2023, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v6i2.3169

Abstract

The proficiency of students in mathematical problem-solving skills is believed to be shaped by factors such as mathematical concepts understanding, creative thinking skills, and self-efficacy. This research endeavors to investigate the interplay among self-efficacy, mathematical concepts understanding, creative thinking skills, problem-solving skills, and mathematics learning outcomes. Employing a survey approach, the study encompasses all ninth-grade students in Central Bengkulu, Bengkulu, Indonesia, with a sample of 100 students selected through proportional stratified random sampling. Data collection involves Likert scale instruments for self-efficacy, along with tests for mathematical concepts understanding, creative thinking skills, and problem-solving skills. Path analysis techniques are applied for data analysis. The findings of the research indicate that mathematical concepts understanding, creative thinking skills, and problem-solving skills collectively exert a positive influence on mathematics learning outcomes. Additionally, it is demonstrated that self-efficacy, understanding mathematical concepts, and creative thinking skills collectively contribute positively to problem-solving skills. Furthermore, the research reveals a direct positive influence of self-efficacy on both mathematical concepts understanding and creative thinking skills.
Decoding cognitive transitions in undergraduate mathematics: An integrated APOS AND SOLO+ framework for formal epsilon-delta limit proofs Nugroho, Khathibul Umam Zaid; Sukasno, Sukasno; Widada, Wahyu; Alias, Norma; Herawaty, Dewi; Anggoro, Shadaqnas Dewarif Tri
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 2 (2026): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i2.31308

Abstract

Purpose: This study examines cognitive transitions and epistemological obstacles in undergraduate mathematics education by testing an integrated APOS and SOLO+ framework within formal ε-δ limit proofs. Method: Using an explanatory sequential mixed-methods design, CB-SEM analyzed data from 278 undergraduates to test theoretical structural relationships. Qualitatively, a "diagnostic task analysis" employing the Constant Comparative Method examined task-based interviews from 8 key informants to dissect transitional cognitive anomalies. Findings: CB-SEM confirmed that Structural Complexity (SOLO+) significantly partially mediates the effect of Cognitive Mechanisms (APOS) on Proof Proficiency, explaining 62.4% of the variance. Qualitative autopsies identified two specific transitional traps: Interiorization Instability (Semi-Relational level), marked by universal quantifier failures and reversed logic in linear tasks; and Encapsulation Rigidity (Semi-Extended level), marked by intuitive blockages during bounding strategies in non-linear tasks. Consequently, a grounded taxonomy was generated to distinguish superficial syntactic "slips" from deep-seated epistemological "errors." Significance: This framework shifts pedagogical evaluation from outcome-based syntax to transitional cognitive diagnosis, providing a powerful blueprint for addressing learning barriers and laying the theoretical foundation for future diagnostic tools.
Meningkatkan Berpikir Matematika di Sekolah Dasar: Studi Implementasi Metode Inovatif dalam Pembelajaran Dona Ningrum Mawardi; Rani Refianti; Khathibul Umam Zaid Nugroho
Konsienti : Community Services Journal Vol. 3 No. 01 (2025): January
Publisher : PT. TAKAZA INNOVATIX LABS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61536/konsienti.v3i01.258

Abstract

Berpikir matematis merupakan keterampilan kognitif esensial yang harus dikembangkan sejak pendidikan dasar guna meningkatkan kemampuan pemecahan masalah, analisis, dan berpikir kritis siswa. Penelitian ini bertujuan untuk mengeksplorasi efektivitas metode inovatif dalam pembelajaran matematika di sekolah dasar, yang mencakup pembelajaran berbasis masalah (Problem-Based Learning/PBL), pendekatan inkuiri, serta integrasi teknologi dalam meningkatkan keterampilan berpikir matematis siswa. Menggunakan pendekatan kualitatif dengan metode studi kasus, penelitian ini mengumpulkan data melalui observasi kelas, wawancara dengan guru dan siswa, serta analisis dokumen pembelajaran. Hasil penelitian menunjukkan bahwa metode inovatif secara signifikan meningkatkan pemahaman konseptual siswa serta keterampilan berpikir analitis dibandingkan dengan metode pembelajaran tradisional berbasis instruksi langsung. Data kuantitatif dari tes diagnostik menunjukkan peningkatan skor yang lebih besar pada siswa yang menggunakan metode inovatif dibandingkan dengan mereka yang belajar melalui metode konvensional. Selain itu, integrasi teknologi dalam pembelajaran memungkinkan siswa memahami konsep matematika yang kompleks secara lebih interaktif dan intuitif. Namun, tantangan dalam implementasi metode inovatif ini meliputi kesiapan guru dalam mengadopsi strategi pembelajaran yang lebih eksploratif serta keterbatasan infrastruktur di beberapa sekolah. Oleh karena itu, diperlukan kebijakan yang mendukung pelatihan berkelanjutan bagi guru serta peningkatan akses terhadap teknologi pendidikan guna memastikan efektivitas penerapan metode inovatif dalam pembelajaran matematika di sekolah dasar.
Pendampingan Pemanfaatan Teknologi Interaktif Untuk Menyusun Soal AKM Literasi Kontekstual di SMP PGRI KOTA LUBUKLINGGAU Ahmad Marsehan; Khathibul Umam Zaid Nugroho; Yoga Lorenza; Nihad Khalilullah
Jurnal Masyarakat Madani Indonesia Vol. 5 No. 1 (2026): Februari
Publisher : Alesha Media Digital

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59025/qycc1438

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Program pendampingan ini dirancang untuk meningkatkan kompetensi guru SMP PGRI Kota Lubuklinggau dalam menyusun soal AKM Literasi yang kontekstual dengan memanfaatkan teknologi interaktif. Hal ini dilatarbelakangi oleh kendala yang dihadapi guru dalam merancang soal berbasis konteks nyata dan memanfaatkan platform digital. Tujuannya adalah agar guru mampu memahami konsep AKM Literasi kontekstual, terampil menggunakan platform seperti Quizizz atau Google Form, dan akhirnya menciptakan bank soal yang berkualitas. Metode pencapaiannya meliputi tiga tahap, yakni pelatihan teknis, pendampingan praktik langsung dalam merancang soal, serta evaluasi dan pengembangan berkelanjutan melalui uji coba. Rencana kegiatannya terstruktur dalam fase persiapan, pelaksanaan (pelatihan dan praktik), dan evaluasi akhir. Dampak jangka panjang yang diharapkan adalah terwujudnya bank soal AKM yang relevan, peningkatan kualitas asesmen literasi, serta penguatan budaya pemanfaatan teknologi dalam evaluasi, yang pada akhirnya akan meningkatkan kemampuan literasi siswa secara lebih efektif dan bermakna.
Enhancing PISA-like mathematical literacy through deep learning assisted by mathos ai for junior high school students Wahyu Widada; Khathibul Umam Zaid Nugroho; Masri Masri; Abdurrobbil Falaq Dwi Anggoro; Dewi Herawaty; Rahmat Jumri; Shadaqnas Dewarif Tri Anggoro
Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Vol 11 No 1 (2025): Jurnal Math Educator Nusantara
Publisher : Program Studi Pendidikan Matematika, Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29407/jmen.v11i1.25109

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Based on PISA, Indonesian students' mathematical literacy skills are very low. This study investigates the effectiveness of Mathos AI-assisted deep learning design in improving PISA-like mathematical literacy among junior high school students. Using design research methodology with validation studies approach. Data were collected through pre-test and post-test, classroom observation, interviews, and analysis of student work. The findings revealed significant improvements in students' mathematical literacy, with positive impacts on their motivation and engagement. The integration of Mathos AI facilitates personalized learning and provides valuable insights into students' learning processes. This study contributes to the growing literature on AI-driven educational interventions, which offer practical implications for improving mathematical literacy in real-world classroom settings. The conclusion of this study is that Mathos AI-assisted deep learning is able to improve PISA-like mathematical literacy skills among junior high school students. The integration of AI-based tools in mathematics education can result in improved learning outcomes and student engagement. Further research is needed to explore the long-term effects of AI-based interventions and develop best practices for their implementation.
Improving students' mathematics HOTS ability through the integration of deep learning and SOLO taxonomy Khathibul Umam Zaid Nugroho; Ahmad Marsehan; Lili Tri Yulianti; Nurtiara Nurtiara
Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Vol 11 No 2 (2025): Jurnal Math Educator Nusantara
Publisher : Program Studi Pendidikan Matematika, Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29407/jmen.v11i2.27111

Abstract

Education in the 21st century requires students to have high-level thinking skills (HOTS), but the low HOTS of students' mathematics is still a significant challenge, as reflected in the results of international evaluations. This study aims to investigate the effectiveness of the integration of deep learning and SOLO Taxonomy in optimizing students' mathematics HOTS. Using a quasi-experimental design, the study involved 60 of students in grade VIII who were divided into an experimental group (n = 30) and a control group (n = 30). The experimental group received a learning intervention based on deep learning principles with the guidance of the SOLO Taxonomy, while the control group received conventional learning. Data were collected through a math HOTS pre-test and post-test and analyzed using ANCOVA to control students' initial scores. The results showed a significant increase in students' math HOTS in both groups, but the increase in the experimental group was much higher (p<0.01). The qualitative analysis of the students' responses also shows a clear development at the level of SOLO Taxonomy, from Unistructural/Multistructural to Relational and Extended Abstract. These findings indicate that the integration of deep learning and SOLO Taxonomy creates an effective synergistic effect in facilitating deep thinking. This research contributes to the educational literature by providing a measurable and practical learning model to improve HOTS, as well as providing important implications for teacher practice and curriculum development in the future.
IMPLEMENTATION OF THE TEAMS GAMES TOURNAMENT (TGT) LEARNING MODEL BASED ON THE ETHNOMATHEMATICS APPROACH OF LUBUK LINGGAU CITY TOURISM TOWARD JUNIOR HIGH SCHOOL STUDENTS’ MATHEMATICAL CONNECTION ABILITY: South Sumatera, Indonesia Aldi Saputra; Khathibul Umam Zaid Nugroho; Ranti; Ratna Anjani; Suci Artila
Jurnal Math-UMB.EDU Vol. 13 No. 3 (2026): JULY
Publisher : Universitas Muhammadiyah Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36085/math-umb.edu.v13i3.10707

Abstract

This study was conducted to investigate the effect of the Teams Games Tournament (TGT) learning model, integrated with an ethnomathematical approach based on tourist attractions in Lubuk Linggau, on the mathematical connections made by junior high school students. This study used a quantitative approach with a pre-experimental method and a single-group pretest-posttest design. A total of 20 eighth-grade students participated in this study. Data collection was carried out through pretest and posttest measurements of mathematical connections, supported by observation forms and interview guidelines. The ethnomathematical approach was implemented by using the Watervang tourist attraction as a contextual learning resource for teaching plane geometry. The collected data were analyzed using descriptive statistics techniques and N-Gain analysis to determine the improvement of students' skills after the learning intervention. The results showed that the implementation of the ethnomathematical-based TGT learning model made a positive contribution to improving students' mathematical connections. Through learning activities that integrate geometric concepts found in real objects at the Watervang tourist location, students are able to connect mathematical ideas more effectively and recognize their relevance to everyday situations. These results suggest that integrating ethnomathematics into the TGT learning model can be a meaningful and effective alternative for building mathematical relationships among students in the early years of secondary education. Keywords: Teams Games Tournament, Ethnomathematics, Mathematical Connection Ability, Plane Geometry, Watervang Tourism
Model Pembelajaran STAD Menggunakan Pendekatan Etnomatematika untuk Meningkatkan Hasil Belajar Siswa Dina Salsabila; Maria Luthfiana; Khathibul Umam Zaid Nugroho
Prosiding Silampari Conference of Life Sciences and Techonology (Silamparilist) Vol 1 (2025): Proceeding Silampari Conference of Life Science and Technology
Publisher : Proceeding of Silampari Conference of Life Science and Technology

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Kajian ini bertujuan untuk meninjau model pembelajaran Student Teams Achievement Division (STAD) menggunakan pendekatan etnomatematika dalam meningkatkan hasil belajar siswa. STAD merupakan strategi pembelajaran kooperatif yang melibatkan siswa dalam kelompok dengan kemampuan berbeda untuk berkerja sama dalam menyelesaikan masalah. Sedangkan pendekatan etnomatematika yakni konsep pembelajaran matematika dengan budaya lokal siswa. Pengalaman belajar yang lebih kontekstual dapat dihasilkan dengan menggabungkan keduanya supaya proses pembelajaran lebih bermakna, dan interaktif. Strategi yang digunakan dalam kajian adalah Systematic Literature Review (SLR) dengan 23 artikel ilmiah pada tahun terbit 2020 hingga 2025 yang membahas implementasi STAD dan etnomatematika dalam pembelajaran matematika. Maka hasil kajian menunjukan bahwa penerapan model STAD menggunakan pendekatan etnomatematika dapat meningkatkan partisipasi siswa, memperkuat pemahaman konsep, serta memberikan dampak posistif terhadap hasil belajar. tinjauan literatur ini mendukung bahwa kombinasi kedua pendekatan tersebut merupakan strategi yang efektif dalam meningkatkan kualitas pembelajaran matematika, serta perlu direkomendasikan untuk guru agar diterapkan dalam proses pembelajaran yang berlandasan konteks budaya dan kolaboratif.
Systematic Literature Review: Penggunaan Game Edukasi Berbasis Scratch dalam Pembelajaran Matematika Mellisa Agustriana; Lucy Asri Purwasi; Khathibul Umam Zaid Nugroho
Prosiding Silampari Conference of Life Sciences and Techonology (Silamparilist) Vol 1 (2025): Proceeding Silampari Conference of Life Science and Technology
Publisher : Proceeding of Silampari Conference of Life Science and Technology

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Kemajuan teknologi digital dewasa ini telah mendorong munculnya berbagai inovasi dalam dunia pendidikan, termasuk dalam proses pembelajaran matematika. Salah satu media pembelajaran yang semakin banyak dimanfaatkan adalah Scratch, sebuah perangkat lunak pemrograman visual yang memungkinkan pengguna menciptakan game edukatif secara interaktif, menarik, dan menyenangkan. Penelitian ini bertujuan untuk melakukan kajian sistematis terhadap desain dan pemanfaatan game edukasi berbasis Scratch dalam pembelajaran matematika sebagai upaya untuk meningkatkan kualitas pembelajaran di era digital. Metode yang digunakan adalah Systematic Literature Review (SLR) dengan pendekatan yang tersusun dan sistematis. Penelitian ini menerapkan dua kriteria utama dalam menentukan kelayakan artikel, yakni kriteria inklusi dan eksklusi, sehingga diperoleh 30 artikel terpilih yang dipublikasikan antara tahun 2020 hingga 2025. Proses identifikasi dan seleksi artikel dilakukan dengan menggunakan kerangka kerja PICOC serta panduan PRISMA. Selain itu, Scratch dinilai mampu mendorong kolaborasi antar siswa dan mengembangkan kemampuan berpikir komputasional secara menyeluruh dan efektif.
Co-Authors Ababil, Dini Abdurrobbil Falaq Dwi Anggoro Abdurrobbil Falaq Dwi Anggoro Abdurrobbil Falaq Dwi Anggoro Abu Bakar, Suriani Ade Krisma Oktavia Adi Nurcahyo Ahmad Marsehan Aisyah Rahmawaty Akmal Rijal Aldi Saputra Aldi Saputra Alias, Norma Anggoro, Abdurrobbil Falaq Anggoro, Abdurrobbil Falaq Dwi Anggoro, Shadaqnas Dewarif Tri Anisya Soneta As Elly As Elly Aswarliansyah Badeni Balqis, Reka Destha Ulandari DEWI HERAWATY Dewi Herawaty Dewi Herawaty Dewi Herawaty Dina Salsabila Dona Ningrum Mawardi Drajat Friansah Eddy Izwanto ELLY, AS Eva Aprilia Gufiran, Hermu Haji, H Saleh Heti Sanjaya Idul Adha Irpan Pranata Isebria Ismoen, Muhaimin Isti Hidayah Izwanto, Eddy Jannah, Miftahul Jannah Lili Tri Yulianti Luthfiana, Maria M Rusni Eka Putra M. Asikin Maria Luthfiana Masri Masri Mellisa Agustriana Mey Line Saputri Mohammad Asikin Muqoyyanah, Muqoyyanah Nihad Khalilullah Noprianto Wahyudi Norma Alias Nugroho Ponco Riyanto Nur Fitriyana Nur, Nur Fitriyana Nurtiara Nurtiara Okta Selvia Olivia Pandra, Viktor Purwasi, Lucy Asri Rahmat Jumri Ranita, Ranita Ranti Rasna Puspita Sari Ratna Anjani Refianti, Rani Revita, Ade Nindya Salsabila, Dina Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Suci Artila Sugiarto, Anjar Sugiman Sugiman Sukasno Sukestiyarno Sukestiyarno Sukestiyarno, Y. L. Sulaiman Vivi Sakta Tri Rahmadona Wahyu Widada Wahyu Widada Wayan Gede Wayan Gede Y. L. Sukestiyarno YL Sukestiyarno Yoga Lorenza Yufitri Yanto Yulia Darmi Zamzaili Zamzaili