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Sa’adah, Nihayatus
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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 Agustina, Rachma Al Hakim, Tamara Diina Amang Sudarsono, Amang Anisah, Ida Ardiana, Meta Ari Kusuma Sulyandari Ari Pertiwi, Dwi Aries Pratiarso, Aries Arsy, Dzikri Dinikal Fadilah, Siti Umi Hamzah, M. Humaidi Humaidi I Gede Puja Astawa Iftitaahul Mufarrihah Imam Rifai, Moch. Mahmudah, Hani'ah Mahmudah, Haniah Mike Yuliana Nadziroh, Faridatun Nanndo Yannuansa, Nanndo Ningtiyas, Indin Novia Dwi Rahmawati Prima Kristalina Rahma Ramadhani Rodliyah, Iesyah Rosyadi Rosyadi, M. Syam’un Saleh, Akuwan Samsono Hadi, Moch. Zen Saraswati, Sari Siti Khabibah Sulistiyowati, Rena Titon Dutono Umami, Sadatul Widyatra Sudibyo, Rahardita Yulva, Firda Istiana