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All Journal PROSIDING SEMINAR NASIONAL AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA JISI UMJ (Jurnal Integrasi Sistem Industri UMJ) SIGMA: Jurnal Pendidikan Matematika Suska Journal of Mathematics Education AdMathEduSt: Jurnal Ilmiah Mahasiswa Pendidikan Matematika JIPMat (Jurnal Ilmiah Pendidikan Matematika) E-Dimas: Jurnal Pengabdian kepada Masyarakat Union: Jurnal Ilmiah Pendidikan Matematika Journal of Honai Math Jurnal Tadris Matematika Jurnal Pemberdayaan: Publikasi Hasil Pengabdian Kepada Masyarakat SIGMA ANARGYA: Jurnal Ilmiah Pendidikan Matematika JURNAL PENDIDIKAN MIPA Jurnal Berdaya Mandiri JUPIKA: JURNAL PENDIDIKAN MATEMATIKA LINEAR: Journal of Mathematics Education Circle: Jurnal Pendidikan Matematika Jurnal Tadris Matematika Jurnal Kemitraan, Kewirausahaan dan Pengabdian Masyarakat
Sumargiyani Sumargiyani
Universitas Ahmad Dahlan
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Discovery Learning as a Diagnostic Framework for Analyzing Conceptual, Procedural, and Technical Errors in Function Graph Interpretation Sumargiyani, Sumargiyani; Rohmah, Siti Nur; Setyawan, Fariz
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

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

Abstract

Understanding functions and their graphical representations constitutes a fundamental component of introductory calculus learning; however, many first-year university students continue to experience substantial difficulties in interpreting graphs and relating mathematical functions to authentic real-world situations. Although previous studies have extensively examined students’ procedural performance in calculus, limited attention has been devoted to diagnosing the underlying conceptual obstacles through instructional approaches that simultaneously function as learning and assessment instruments, thereby establishing the novelty of this study through the integration of Discovery Learning-based worksheets as both diagnostic and pedagogical tools. This study aims to identify, classify, and reduce students’ errors in understanding functions and graph representations among 21 first-semester students in the Mathematics Education Program at Universitas Ahmad Dahlan using a qualitative descriptive design. Data were collected from students’ worksheet responses and analyzed through iterative processes of data reduction, data display, and conclusion drawing. The findings revealed three categories of errors, namely conceptual, procedural, and technical errors, with conceptual errors emerging as the most dominant, particularly in distinguishing functions from relations, interpreting discrete and continuous domains, and contextualizing functions in real-life applications. Furthermore, the Discovery Learning worksheets promoted active concept construction through exploration, reflection, and guided problem-solving activities while revealing persistent misconceptions and reasoning patterns. These findings provide a meaningful pedagogical contribution to mathematics education by offering a systematic framework for diagnosing learning obstacles and strengthening students’ conceptual understanding of functions in introductory calculus courses.
PENGEMBANGAN E-LKPD BERBASIS MULTIMEDIA INTERAKTIF MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL Dwi Atmi Yuliarni; Sumargiyani Sumargiyani
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 17 No. 2: Desember 2025
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/mda12364

Abstract

Tujuan dari penelitian ini adalah untuk menghasilkan E-LKPD multimedia interaktif yang memenuhi standar valid dan praktis dengan memanfaatkan platform Liveworksheet sebagai sarana penerapannya. Dalam penelitian ini, metode Research and Development (R&D) digunakan dengan merujuk pada model ADDIE yang meliputi tahap Analisis, Desain, Pengembangan, Impolemetasi, dan Evaluasi.  Ahli materi, ahli media, dan siswa kelas X MAN 3 Bantul sebanyak 30 siswa berperan sebagai subjek penelitian ini. Instrumen penelitian terdiri dari lembar penilaian validasi materi dan media, serta  kuesioner ranggapan siswa. Data diperoleh diperoleh melalui wawancara dan angket. Hasil penelitian menunjukkan bahwa E-LKPD yang telah dikembangkan memenuhi kriteria kelayakan penggunaan, ditunjukkan dengan skor validasi materi 83,93% (valid), validasi media 85,14% (sangat valid), dan tanggapan siswa 79,57% (praktis). Kesimpulan yang diperoleh menunjukkan bahwa E-LKPD yang dikembangkan terbukti valis dan praktis sehingga layak untuk diterapkan dalam pembelajaran SPLTV.
Co-Authors Acbarrifha Nour, Azty Aini, Noor Aini, Noor Ainun Krisna Devi Ani Apriani, Ani Ardi Dwi Susandi Astuti, Reni Dwi Azty Acbarrifha Nour Bidayatun Nafi'ah Devi, Ainun Krisna Dwi Atmi Yuliarni Eka - Aprianti Elbehary, Samah Gamal Ahmed Hamzah, Romelan Hutami, Aqila Fitri Hanindhita Iwan Iwan Tri Riyadi Yanto Iwan Tri Riyadi Yanto, Iwan Tri Riyadi Muhammad Asrori Ainurrahman Muhammad Asrori Ainurrahman Muhammad Yusuf Munawarrahman Munawarrahman Nur Anisa Fatonah Nur Robiah Nofikusumawati Peni Nur Robiah Nofikusumawati Peni Nurrahmat Wahid Jamaluddien Prasetyani, Ika Prasetyani, Ika Prista Devi Widyaningtyas Puguh Wahyu Prasetyo, Puguh Riyadiyanto, Iwan Tri Rohmah, Siti Nur Romelan Hamzah Rusmining, Rusmining Samah Gamal Ahmed Elbehary Setyawan, Fariz Shafwa Maitsa Adzra Tsani Shafwa Maitsa Adzra Tsani Tsani, Shafwa Tsani, Shafwa Maitsa Adzra Uswatun Hasanah Wandhansari Sekar Jatiningrum Widayati, Sri