Yoga Tegar Santosa
Universitas Muhammadiyah Surakarta

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Students’ conceptual difficulties in learning curved-surface solids: The needs for RME-based interactive e-module Yoga Tegar Santosa; Mutiara Hisda Mahmudah; Eko Ari Wibowo
Beta: Jurnal Tadris Matematika Vol. 19 No. 1 (2026): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v19i1.737

Abstract

[English]: This study aims to identify students’ difficulties in learning curved-surface solids, analyze the key aspects of their conceptual understanding, and explore their needs regarding content and digital features for an RME-based e-module. A mixed-method approach with a sequential explanatory design was employed. The participants consisted of 94 ninth-grade students from a private junior high school in Surakarta, Indonesia. Data were collected using a questionnaire as well as in-depth interviews. Quantitative data were analyzed descriptively, while qualitative data were processed through reduction, display, and conclusion drawing. The findings reveal that students continue to struggle with visualizing three-dimensional shapes, understanding the structure and use of formulas for volume and surface area, and identifying components of curved-surface solids. Their conceptual understanding falls within the “moderate” category, with noticeable uncertainty in explaining, connecting, and applying concepts. Moreover, students require content that offers deeper conceptual explanations, step-by-step procedural examples, and contextualized exercises, highlighting the need for integrating the RME approach into the e-module. They also expect digital features such as 3D visualizations, tutorial videos, interactive object manipulation, and automated assessments. [Bahasa]: Penelitian ini bertujuan untuk mengidentifikasi kesulitan belajar dan menganalisis pemahaman konsep siswa pada materi bangun ruang sisi lengkung, serta mengeksplorasi kebutuhan mereka terhadap konten dan fitur e-module sebagai landasan pengembangan e-module berbasis realistic mathematics education (RME). Penelitian ini menggunakan pendekatan mixed-method dengan desain sequential explanatory. Partisipan terdiri atas 94 siswa kelas IX dari salah satu SMP swasta di Kota Surakarta, Indonesia. Data diperoleh melalui angket dan wawancara mendalam. Analisis data kuantitatif dilakukan secara deskriptif, sedangkan data kualitatif dianalisis melalui proses reduksi, penyajian, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa siswa masih mengalami kesulitan dalam memvisualisasikan bentuk tiga dimensi, memahami struktur dan penerapan rumus volume serta luas permukaan, serta mengidentifikasi komponen bangun ruang sisi lengkung. Pemahaman konsep siswa berada pada kategori cukup dengan kecenderungan ketidakpastian dalam menjelaskan, menghubungkan, dan menerapkan konsep. Selain itu, siswa membutuhkan konten berupa penjelasan konseptual yang mendalam, contoh prosedural bertahap, dan latihan kontekstual yang menunjukkan perlunya integrasi pendekatan RME pada e-module. Siswa juga mengharapkan fitur digital seperti visualisasi 3D, video tutorial, manipulasi objek interaktif, dan asesmen otomatis.
Investigating the fragmentation of students’ creative thinking structures in realistic mathematics education: A qualitative case study of junior high school students Yoga Tegar Santosa; Nining Setyaningsih; Berliani Ardelia Sukowati; Dini Wardani Maulida; Mutiara Hisda Mahmudah; Ade Ayu Meganingrum
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.32899

Abstract

The fragmentation of creative thinking structures is a phenomenon requiring serious attention in Realistic Mathematics Education (RME). However, studies that systematically explore how students’ creative thinking fragmentation manifests across RME learning stages remain limited. This study aims to examine the types and forms of students' creative thinking fragmentation across four RME activities: situation, model of situation, model for knowledge, and formal mathematics. This research employs a qualitative case study design. Participants consisted of 18 seventh-grade students from an Integrated Islamic Junior High School in Sukoharjo Regency. Data were collected through non-routine mathematical problem tests and in-depth interviews, with validity ensured through source triangulation. Data analysis involved thematic coding based on a fragmentation typology aligned with RME stages, followed by data reduction, display, and conclusion drawing. The results identified five types of fragmentation: (1) less-strict fragmentation at the situation stage, (2) translational fragmentation (text to symbol) at the situation stage, (3) pseudo-false fragmentation at the model of situation stage, (4) translational fragmentation (text to image) at the model for knowledge stage, and (5) pseudo-true fragmentation at the formal mathematics stage. These findings extend theoretical perspectives and inform instructional design and scaffolding strategies in RME classrooms.