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Tracing students understanding and misconceptions of continuity and differentiability through multi representations of mathematical problem Arsyad, Nurdin; Ikram, Muhammad; Alimuddin, Fauziyyah; Nisa, Khaerun; Sosa-Moguel, Landy; Garcia-Garcia, Javier
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 1 (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.v17i1.29062

Abstract

Purpose: This study investigates undergraduate students’ understanding and misconceptions concerning continuity and differentiability across multiple mathematical representations. It specifically examines whether misconceptions remain stable or shift when concepts are presented in symbolic, graphical, and contextual forms. Method: A qualitative exploratory case study was conducted involving 83 undergraduate mathematics education students at a leading public university in Indonesia. Data were collected using 11 validated and reliable multiple-choice items designed to elicit reasoning across different representations. Students’ written responses were analyzed to identify patterns of understanding and error. In-depth interviews with selected participants were conducted to clarify underlying reasoning processes. A collective case study framework was employed, treating each representation as a micro case to enable systematic cross-representation comparison. Findings: The results indicate that misconceptions were widespread and often consistent across representations. Common errors included interpreting graphical smoothness as proof of differentiability, assuming differentiability without verifying continuity, and conflating the existence of a limit with the function’s value. Many students relied on procedural manipulation, visual intuition, or contextual familiarity rather than formal limit-based reasoning, revealing fragmented conceptual understanding. Significance: The findings highlight the need for instructional approaches that explicitly integrate multiple representations and strengthen connections between intuitive reasoning and formal definitions. By addressing persistent misconceptions across representations, calculus instruction can better support the development of coherent and conceptually grounded mathematical understanding.
Peningkatan Kapasitas Pengelolaan Data dan Informasi Kepegawaian pada Kantor Regional IV BKN Makassar Ramadhani, Nabila; Baharuddin, Baharuddin; Zaki, Ahmad; Sutamrin, Sutamrin; Alimuddin, Fauziyyah
Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat Vol. 5 No. 1 (2026): Volume 05 Nomor 01 (April 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/e27qr605

Abstract

Pengelolaan data dan informasi kepegawaian merupakan aspek krusial dalam mendukung efektivitas administrasi publik dan pengambilan keputusan. Kegiatan pengabdian ini bertujuan untuk meningkatkan kapasitas pengelolaan data kepegawaian melalui keterlibatan langsung dalam praktik kerja lapangan (PKL) di Kantor Regional IV BKN Makassar. Kegiatan ini dilaksanakan di Kantor Regional IV BKN Makassar yang terhitung mulai dari tanggal 26 Mei 2025 sampai dengan tanggal 08 Agustus 2025. Metode yang digunakan meliputi observasi, partisipasi aktif, serta pendampingan dalam pengelolaan sistem informasi kepegawaian. Fokus kegiatan ini berada pada Bidang Informasi Kepegawaian, khususnya dalam pengelolaan arsip dan data kepegawaian aparatur sipil negara (ASN). Melalui kegiatan seperti pengecekan Nomor Induk Pegawai (NIP), penyusunan laporan arsip, dan input data digital. Hasil kegiatan menunjukkan adanya peningkatan pemahaman terhadap alur pengelolaan data, peningkatan ketelitian dalam pengolahan informasi, serta optimalisasi pemanfaatan sistem digital. Kegiatan ini memberikan kontribusi nyata dalam mendukung efisiensi layanan kepegawaian serta penguatan kompetensi praktis mahasiswa.