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Rahma Ramadhani
Universitas Hasyim Asy’ari
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Journal : pi mathematics education journal

 1 
Analysis of Students’ Errors in Solving Mathematical Proof Problems on Real Numbers Ramadhani, Rahma; Mufarrihah, Iftitaahul; Sa’adah, Nihayatus
Pi: Mathematics Education Journal Vol. 9 No. 1 (2026): April
Publisher : Program Studi Pendidikan Matematika Universitas PGRI Kanjuruhan Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21067/pmej.v9i1.13682

Abstract

The aim of this study is to analyze students’ errors in solving mathematical proof problems on real numbers using Kastolan’s Theory. This study used a qualitative descriptive approach with third-semester students, who have taken the Real Analysis course, as the subjects. Data was collected through validated written tests consisting of three proof questions and interviews. Data analysis used the Miles and Huberman model with criterion sampling for subject selection. The results of the study showed three types of errors, namely conceptual, procedural, and technical errors. The conceptual errors found were errors in using definitions and errors in using arguments caused by a lack of understanding of deductive proofs. The procedural errors found were errors in writing systematic steps and errors caused by answers that did not return to the conclusion due to difficulties in constructing arguments systematically. Meanwhile, the technical errors found were errors in writing notation and errors in copying simple expressions due to carelessness. The most dominant errors were technical errors, especially in writing mathematical notation or symbols and copying or simplifying expressions. Further research is recommended to develop and test effective learning strategies or models to minimise conceptual, procedural, and technical errors.
Co-Authors A'izzatul Khiyana abdiyah amudi Abdiyah Amudi Abdiyah Amudi Abdiyah Amudi, Abdiyah Abdul kholil Agung Samudra Aji, Bayu Putro Akmal, Zuhudil Akmam Mutrofin, Alwi Sihab Andi Dwi Kurniawan Andim Rendy Setiawan Anita Anjani Arrozaq, Muhammad Arif Awaliana, Satma Basuki , Bayu Putro Aji Candra Prasetyo Dasega Arya Eka Cipta Delly Rasendria, Alysia Dharma Bagus Pratama Putra Diah Palupi, Budi Rahayu Dian Anisa Rokhmah Wati Diastuti, Indah Mei Dimas Ubaidillah Dwi Ari Pertiwi Dwi Rahmawati, Novia Dwiyasta, Vanezal Hadi Sucipto, Hadi Heri Prawoto Hidayatuloh, Suryo hikamulfadlillah Humaidillah Kurniadi W Iftitaahul Mufarrihah Iftitaahul Mufarrihah Imamatul Ummah Islamiya, Nadhifatul Ilmi Ita Suhermin Ingsih Kusnul Ciptanila Yuni K Madu Sonia Mawaddah, Cintia Ayu Meimatul Sumandani, Arin Mohammad Johan Mohammad Nur Fatta Muzzakki Muflihah, Nur Muhamad Fauzan Endar Muhammad Achiril Haq Muhammad Nawir Mujianto, Ahmad Heru Mutrofin, Akmam Nailul Izzati Nanndo Yannuansa, Nanndo NIHAYATUS SAADAH Ningrum, Fatimaharani Annisa Septiya Novia Dwi Rahmawati Nugroho, Meriana Wahyu Nurul Zahrotul Jannah Pranayudha, Agusti Samsu Pranayudha Prastiyo, Muhammad Primasworo, Rifky Aldila Putra, Dharma Bagus Pratama Ramasanti, Regieta Retno Eka Pramitasari Retnowati, Rini Rodliyah, Iesyah Sa’adah, Nihayatus Sabaruddin Adjie Saraswati, Sari Sa’adah, Nihayatus septianingsih, septianingsih Siti Khabibah Sukri, Justika Sulung Rahmawan Wira Ghani Sundari, Titin Sunu Prawita, Widya Titin Sundari Totok Yulianto Totok Yulianto Umamah, Nisrina Azzah Wijanarko, Nadia Parwaty Yuliati, Dian Zainal Abidin