Nyoman Arda Wibawa
Universitas Pendidikan Ganesha

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Analisis Kesalahan Siswa SMK dalam Menyelesaikan Soal Olimpiade ditinjau dari Teori Nolting Putu Sutama; Nyoman Arda Wibawa
GAUSS: Jurnal Pendidikan Matematika Vol. 8 No. 2 (2025)
Publisher : Universitas Serang Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30656/gauss.v8i2.11688

Abstract

Abstrak Soal Gema Lomba Matematika (GLM) menuntut kemampuan berpikir tingkat tinggi sehingga banyak siswa yang mengalami kendala teknis maupun non-teknis pada saat menyelesaikan soal. Sehingga perlu dilakukan analisis terhadap kesalahan jawaban siswa dalam menjawab soal GLM. Penelitian ini bertujuan untuk mengetahui jenis dan penyebab kesalahan siswa finalis SMK dalam menjawab soal final Gema Lomba Matematika tahun 2025 materi statistika ditinjau dari Teori Nolting. Metode yang digunakan adalah deskriptif kualitatif dengan subjek penelitian terdiri dari enam orang yang dipilih melalui teknik purporive sampling. Instrumen yang digunakan yaitu soal final GLM SMK tahun 2025 yang berbentuk uraian dengan tipe HOTS. Data dikumpulkan melalui tes dan wawancara. Analisis difokuskan pada satu soal HOTS materi statistika Hasil analisis menunjukkan bahwa siswa mengalami enam jenis kesalahan yaitu misread-directions errors (17%), careless errors (33%), concept errors (67%), application errors (83%), test-taking errors (33%), study errors (67%). Faktor penyebab kesalahan mencakup rendahnya pemahaman konseptual, kurangnya latihan soal, rendahnya kemampuan memodelkan masalah matematis, ketelitian, kepercayaan diri, kepanikan, dan manajemen waktu. Temuan ini dapat dijadikan acuan oleh guru atau pembina untuk merancang pembelajaran yang lebih menekankan pada pemahaman konseptual, dan latihan soal-soal HOTS serta dapat dijadikan refleksi bagi siswa untuk lebih mempersiapkan diri mengikuti kompetisi. Kata kunci: Analisis Kesalahan; Kompetisi Matematika; Teori Nolting Abstract The problems used in the Gema Lomba Matematika (GLM) require higher-order thinking skills, causing many students to experience both technical and non-technical difficulties when solving them. Therefore, an analysis of students’ errors in answering GLM problems is necessary. This study aims to identify the types and causes of errors made by vocational high school (SMK) finalists in solving the 2025 GLM final-round statistics problem based on Nolting’s Error Theory. This research employed a descriptive qualitative approach with six participants selected through purposive sampling. The research instrument was a HOTS-based essay problem from the 2025 SMK GLM final. Data were collected through written tests and interviews. The analysis focused on one HOTS problem in the topic of statistics. The results showed that students made six types of errors: misread-directions errors (17%), careless errors (33%), concept errors (67%), application errors (83%), test-taking errors (33%), and study errors (67%). The causes of these errors included low conceptual understanding, lack of practice with HOTS-type problems, weak mathematical modeling ability, lack of accuracy, low self-confidence, panic, and poor time management. These findings can serve as a reference for teachers and coaches in designing instruction that emphasizes conceptual understanding and practice with HOTS problems, as well as a reflection for students to better prepare themselves for mathematics competitions. Keywords: Error Analysis; Mathematics Competition; Nolting’s Theory
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.