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Profil Kesalahan Siswa SMK Dalam Menyelesaikan Soal Gema Lomba Matematika Ditinjau Dari Teori Newman I Gusti Agung Melia Putri Ningrat; Ni Made Sri Mertasari; I Made Ardana; I Gusti Nyoman Yudi Hartawan; I Putu Pasek Suryawan
Jurnal Fibonaci: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2026): Jurnal Fibonaci: Jurnal Pendidikan Matematika
Publisher : Prodi Pendidikan Matematika FMIPA Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jfi.v7i1.72551

Abstract

Gema Lomba Matematika (GLM) merupakan ajang olimpiade tingkat nasional yang diadakan oleh Jurusan Matematika, Universitas Pendidikan Ganesha. Penelitian ini bertujuan untuk menganalisis kesalahan finalis GLM tingkat SMK tahun 2025. Soal yang digunakan dalam olimpiade ini adalah soal HOTS (Higher Order Thinking Skills). Subjek penelitian dipilih menggunakan teknik purposive sampling, yaitu  masing-masing 2 siswa dengan nilai tertinggi, menengah, dan rendah. Teknik pengumpulan data dilakukan melalui tes dan wawancara dan analisis data mencakup reduksi data, penyajian data, dan penarikan kesimpulan dengan triangulasi. Hasil penelitian menunjukkan bahwa kesalahan siswa paling dominan terjadi pada tahap pemahaman proses (50%), diikuti oleh kesalahan memahami masalah (33%), serta kesalahan transdormasi masalah (17%). Analisis ini mengindikasikan bahwa proses berpikir sistematis dan pemahaman konsep menjadi tantangan utama siswa dalam menyelesaikan soal kombinatorika tipe HOTS.
BILANGAN KROMATIK GRACEFUL GANJIL PADA HASIL OPERASI COMB GRAF TANGGA DAN LINTASAN Ni Nyoman Trisya Inne Kristhina; I Gusti Nyoman Yudi Hartawan; Raphita Yanisari Silalahi
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 02 (2025)
Publisher : Universitas Negeri Surabaya

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

Abstract

Pada suatu graf G yang terhubung dan sederhana, pewarnaan graceful ganjil didefinisikan sebagai pewarnaan titik c∶ V(G)→{1,2,…,k} untuk beberapa bilangan bulat positif k, yang menginduksi pewarnaan sisi |c(u)-c(v)| menjadi bilangan ganjil. Bilangan terkecil k yang mempertahankan c sebagai pewarnaan graceful ganjil disebut bilangan kromatik graceful ganjil untuk G, dilambangkan dengan χ_og (G). Penelitian ini bertujuan untuk menemukan bilangan kromatik graceful ganjil pada graf hasil operasi comb graf tangga dengan graf lintasan yaitu graf L_n⊳P_m, dengan n≥1 dan m≥2.Kata Kunci: bilangan kromatik graceful ganjil, operasi comb, graf tangga, graf lintasan
An exploration of teachers' perspectives on computational thinking in mathematics learning I Gusti Nyoman Yudi Hartawan; I Gusti Ngurah Pujawan; Nyoman Arda Wibawa
Indonesian Journal of Educational Development (IJED) Vol. 6 No. 4 (2026): February 2026
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat (LPPM) Universitas PGRI Mahadewa Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59672/ijed.v6i4.5594

Abstract

The integration of Computational Thinking (CT) into mathematics learning has become a key demand in 21st-century education, as it plays an important role in developing logical, creative, and systematic thinking skills. However, in the context of Indonesian education, implementing CT still faces various challenges, particularly regarding teachers’ understanding and readiness to integrate it into the learning process. This study aims to explore teachers’ perspectives on CT-based mathematics learning, including their understanding, perceived relevance, readiness, and the challenges they face in its implementation at the junior high school level. This study offers a novel contribution by explicitly distinguishing between teachers’ conceptual understanding of CT and their pedagogical readiness to implement CT in mathematics learning, a gap that has been insufficiently explored in previous studies. The study employed a qualitative approach with an exploratory design. The research population consisted of junior high school mathematics teachers in Singaraja City, Indonesia. Eight teachers were selected as research participants using purposive sampling based on criteria such as teaching experience, involvement in CT-related or technology-based learning, and willingness to participate in the study. Data were collected through semi-structured interviews, classroom observations, and analysis of learning documents, then analyzed inductively through the stages of data reduction, data presentation, and conclusion drawing. The results showed that the teachers’ perspectives on CT-based mathematics learning are conceptually positive but still limited in practice. CT is considered relevant and potentially effective in strengthening mathematical thinking skills; however, its implementation requires systematic support. Based on these findings, the study recommends providing continuous, practice-oriented professional development programs for teachers, developing CT-based mathematics teaching resources, and stronger policy support to facilitate the effective integration of CT into junior high school mathematics learning. The study's implications highlight the importance of strategies to strengthen teachers’ capacity.
Pengembangan E-LKPD Berbasis Konsep Pembelajaran Mendalam Untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Trigonometri I Gusti Shri Agung Indiragany Jayaningrat; I Gusti Putu Suharta; I Gusti Nyoman Yudi Hartawan
Emasains : Jurnal Edukasi Matematika dan Sains Vol. 15 No. 2 (2026): Juli 2026
Publisher : Program Studi Pendidikan Matematika dan Pendidikan Biologi Universitas PGRI Mahadewa Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59672/emasains.v15i2.6529

Abstract

Kemampuan pemecahan masalah matematis merupakan salah satu kompetensi penting yang harus dimiliki peserta didik dalam pembelajaran matematika. Namun, dalam proses pembelajaran di sekolah, masih terbatas bahan ajar yang mampu melatih kemampuan tersebut secara optimal, khususnya yang berbasis konsep pembelajaran mendalam. Penelitian ini bertujuan untuk mengembangkan Lembar Kegiatan Peserta Didik (E-LKPD) berbasis konsep pembelajaran mendalam pada materi trigonometri kelas X SMA. Pengembangan E-LKPD menggunakan model ADDIE dengan berbantuan aplikasi Heyzine. Uji validitas isi/materi dilakukan dengan uji pakar dan dianalisis menggunakan formula Aiken’s V, uji kelayakan dilakukan dengan angket penilaian LORI, uji efektivitas dilakukan dengan penilaian tes ketuntasan, dan uji kepraktisan dilakukan dengan angket User Experience Questionnaire (UEQ). Uji validitas isi/materi mendapatkan rata-rata nilai V sebesar 0,92 yang berada pada kriteria sangat tinggi. Selanjutnya, uji kelayakan media mendapatkan rata-rata nilai sebesar 4,63 yang dikategorikan sangat tinggi. Melalui uji coba yang dilakukan kepada 39 peserta didik, didapatkan hasil angket respon guru dan peserta didik pada aspek kejelasan dan aspek efisiensi kedalam kategori baik, sedangkan aspek daya tarik, aspek ketepatan, aspek stimulasi dan aspek kebaruan termasuk kedalam kategori unggul. Pada proses uji coba, didapatkan juga bahwa E-LKPD memiliki keefektifan sangat baik dengan persentase ketuntasan sebesar 85%. Hasil tersebut menunjukkan bahwa E-LKPD yang dikembangkan efektif dalam meningkatkan kemampuan pemecahan masalah matematis peserta didik pada materi trigonometri. Dengan demikian, E-LKPD berbasis konsep pembelajaran mendalam yang dikembangkan tidak hanya membantu peserta didik dalam memahami materi, tetapi juga melatih kemampuan berpikir kritis, analitis, dan sistematis dalam menyelesaikan permasalahan matematis.
Hubungan antara Kecerdasan Logis Matematis dengan Kemampuan Computational Thinking Siswa SMP Dewi, Kadek Cintya Purnama; Pujawan, I Gusti Ngurah; Hartawan, I Gusti Nyoman Yudi; Widnyana, Gede Supanca
De Fermat : Jurnal Pendidikan Matematika Vol. 9 No. 1 (2026)
Publisher : Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Balikpapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36277/defermat.v9i1.2489

Abstract

The development of the 21st century requires students to possess higher-order thinking skills, one of which is computational thinking, which plays a crucial role in systematic problem-solving. However, students’ computational thinking skills have not yet reached their optimal potential, highlighting the need to investigate factors that influence them. Logical-mathematical intelligence is considered one of these factors. This study aims to identify and characterize the correlation between logical-mathematical intelligence and computational thinking skills among junior high school students. The sample consisted of 29 ninth-grade students from SMP Satu Atap Negeri 3 Banjar, located in Buleleng, Bali. The research instruments included validated multiple-choice tests to measure logical-mathematical intelligence and essay tests to assess computational thinking skills. Data were analyzed using normality tests, linearity tests, and the Pearson Product-Moment correlation test. The prerequisite tests indicated that the data were normally distributed and exhibited a linear relationship. The results of hypothesis testing revealed a significant positive correlation between logical-mathematical intelligence and computational thinking skills, with a correlation coefficient of 0.781, which is categorized as strong. This finding indicates that students’ computational thinking skills are directly proportional to their level of logical-mathematical intelligence.
Sistem Pengambilan Keputusan Kelayakan Penerima Bantuan Sosial di Desa Menggunakan Metode Kombinasi AHP-SAW Sandi Tian Ari Kusuma; I Gusti Nyoman Yudi Hartawan; Sariyasa Sariyasa
MUST: Journal of Mathematics Education, Science and Technology Vol 10 No 1 (2025): JULY
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/must.v10i1.26744

Abstract

This study aims to implement and measure the accuracy of the combined Analytical Hierarchy Process (AHP) and Simple Additive Weighting (SAW) methods in making decisions about providing social assistance in Purwoagung Village. This study is a type of applied research that focuses on solving real problems practically by utilizing data obtained from the village government. Data were collected through observation, interviews, questionnaires, and documentation studies to ensure the validity and completeness of the information. In its implementation, data were analyzed through the stages of data mining, criteria weighting using AHP, and alternative ranking using the SAW method. The results showed that of the six criteria used, the head of the family's occupation had the highest weight (0.453), followed by home ownership status, number of dependent children, savings ownership, cooking fuel, and type of house floor. The alternative with the highest preference value of 0.866 was determined as the main priority recipient, while the lowest alternative obtained a value of 0.325. Accuracy testing using a confusion matrix showed an accuracy level of the AHP-SAW method of 92.11%, indicating very good classification performance. These results prove that the AHP-SAW method is effective in determining the eligibility of social assistance recipients objectively, systematically, and efficiently. This study recommends further development with additional methods to improve the accuracy and use of the results of this study by the village in preparing policies for the distribution of social assistance that are more targeted, fair, and transparent. Keywords: social assistance, community, Purwoagung Village, AHP – SAW method.
PENGEMBANGAN E-MODUL HIERARKI DENGAN PENDEKATAN PEMBELAJARAN MENDALAM UNTUK MENINGKATKAN PEMAHAMAN KONSEP BANGUN RUANG SISI LENGKUNG Luh Ayu Manika Dewi; I Gusti Nyoman Yudi Hartawan; I Made Candiasa
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 18 No. 2: In Progress (Juli - Desember 2026)
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/61kjqg44

Abstract

Tujuan: Penelitian ini bertujuan untuk mendeskripsikan karakteristik e-modul serta mengetahui kelayakan, kebermanfaatan, dan keefektifan e-modul yang dikembangkan. Metode: Penelitian pengembangan ini menggunakan model pengembangan 4D. Namun, tahapannya dibatasi hanya sampai tahap develop (pengembangan). Hasil: Hasil penilaian kelayakan menggunakan instrumen Learning Object Review Instrument (LORI) menunjukkan bahwa e-modul memperoleh rata-rata skor kelayakan materi sebesar 4,81 dan rata-rata skor kelayakan media sebesar 4,85, keduanya dikategorikan sangat tinggi. Selanjutnya, berdasarkan penilaian kebermanfaatan yang melibatkan 1 guru matematika dan 14 siswa kelas IX B di SMP Negeri 3 Singaraja menggunakan instrumen System Usability Scale (SUS), e-modul memperoleh rata-rata skor sebesar 81,66 yang termasuk grade A. Hasil ini menunjukkan bahwa e-modul bermanfaat dan memiliki tingkat usability yang baik. Analisis hasil uji t berpasangan memperoleh nilai signifikansi <0,001, yang menunjukkan bahwa terdapat peningkatan yang signifikan dalam pemahaman konsep siswa setelah menggunakan e-modul. Selain itu, perolehan skor N-Gain sebesar 0,52 menunjukkan bahwa tingkat keefektifan termasuk dalam kategori sedang. Simpulan: Temuan penelitian ini adalah e-modul hierarki dengan pendekatan pembelajaran mendalam yang layak, bermanfaat, dan efektif dengan tingkat keefektifan kategori sedang dalam meningkatkan pemahaman konsep pada materi bangun ruang sisi lengkung.
Co-Authors ., Putri Oktalinda Muttaqina ., Putu Sri Satri Dewi Adrianus I Wayan Ilia Yuda Sukmana Ayu Wikasari Budayana, I Made Desak Putu Padmi Mahartini Dewi, Kadek Cintya Purnama Djoko Waluyo, Djoko Dr.I Wayan Sadra,M.Ed . Gede Suweken Gst. Ayu Mahayukti Gusti Ayu Kusumaningrum ., Gusti Ayu Kusumaningrum Gusti Ayu Mahayukti I Dewa Gede Agung Pratama Putra ., I Dewa Gede Agung Pratama Putra I Gusti Agung Melia Putri Ningrat I Gusti Ngurah Pujawan I Gusti Putu Suharta I Gusti Shri Agung Indiragany Jayaningrat I Komang Sesara Ariyana ., I Komang Sesara Ariyana I Made Ardana I Made Candiasa I Made Suarsana I Made Suarsana I Nyoman Gita I Nyoman Sukajaya I PUTU PASEK SURYAWAN I Putu Wisna Ariawan I Wayan Puja Astawa Indra Diah Intan Puspa Dewi, L. Jana, Padrul kertiani, wayan Kusuma dewi, Luh Gede Ananda Lestari, N L P Kartika Wira Luh Ayu Manika Dewi Luh Novi Kristiana Made Sudarsana Mahartini, Desak Putu Padmi Melani, Ade Emelan T Mertasari, N.M.S Ni Komang Welly Pusparini Karn ., Ni Komang Welly Pusparini Karn Ni Luh Rusmeyantari . Ni Made Aristya Dewi ., Ni Made Aristya Dewi Ni Made Sri Mertasari Ni Made Suastini, Ni Made Ni Nyoman Parwati Ni Nyoman Trisya Inne Kristhina Ni Putu Dinda Asoka Wati Nyoman Arda Wibawa Nyoman Tiya Martini ., Nyoman Tiya Martini Pande Putu Ernawati Patikasari, Kadek Melani Pramayudi, A.A.A.S Prasanti, Made Cita Prof. Dr.I Nengah Suparta,M.Si . Putri, Luh Hanny Arsana Putu Kartika Dewi Qurrotul Aini Raphita Yanisari Silalahi Sandi Tian Ari Kusuma Sang Ayu Made Monik Kencanawati Sariyasa . Septiana, K. Riko Agus Suarditha, I Made Wira Putra Sudarsana, Made Swarmantara, I Putu Adhitya Tresna Dwipayana, Kadek Widnyana, Gede Supanca