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Journal : Jurnal Pendidikan MIPA

Analysis of Mathematics Education Students' Reasoning in Determining the Truth Value of Quantification Suhendar, Uki; Juniati, Dwi; Khabibah, Siti; Sumaji, Sumaji
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp657-672

Abstract

Reasoning refers to the structured and logical process of drawing conclusions from given premises. Students of mathematics education, who are being prepared as future educators, are expected to possess strong logical reasoning skills in order to comprehend and convey more advanced mathematical concepts. This study aims to analyze the reasoning abilities of mathematics education students in determining the truth value of quantified statements. The central research question is: How do students' reasoning abilities relate to the accuracy of their problem-solving in the context of quantification? An explorative qualitative approach was employed to explore students' reasoning in evaluating the truth values of quantified statements. The study involved 13 students from the Mathematics Education Department at Universitas Muhammadiyah Ponorogo who were enrolled in the Mathematical Foundations course during the 2024/2025 academic year. Data collection instruments included a set of test questions and open-ended interview protocols. The analysis focused on indicators of mathematical reasoning, including: (1) identifying facts, patterns, properties, and relationships, (2) drawing logical conclusions, (3) making predictions and solving problems, and (4) constructing systematic and valid arguments. Following the written assessment, three students representing different levels of performance were selected for in-depth interviews. The findings revealed that while all three participants demonstrated potential in mathematical reasoning, each exhibited specific areas requiring further development. Subject N was proficient in deconstructing quantification problems and drawing logical conclusions, although further probing during the interview revealed gaps in deeper conceptual understanding. Subject A displayed semantic comprehension of quantification but lacked precision in applying formal logic and integrating numerical analysis. Subject F demonstrated a verbal understanding of truth value criteria and was capable of drawing conclusions, yet faced challenges with formal notation, particularly with singular quantifiers. Overall, the participants exhibited promising reasoning abilities but required reinforcement in interpreting formal notation, constructing valid arguments, and accurately applying logical structures. Misinterpretations of quantifier symbols and formal argument patterns were identified as common errors.      Keywords: mathematical reasoning, truth valu, quantification.
Co-Authors Achmad Fachruddin Achmad Fachruddin Ade Irfan Agung Lukito AGUNG LUKITO Aini, Rahmawati Nur Aisyah, Ivon Tressyta Nanda Aminuyati Anarato, Elsiani Ardianto Pandapotan Siregar, Ardianto Pandapotan Astrie Pratiwi Damayanti Atik Wintarti Atik Wintarti Budi Priyo Prawoto BUDI RAHADJENG Cut Khairunnisak Dede de Haan Deka Anjariyah Dewi Sukriah Dewi Sukriyah, Dewi Dhany Fachrudin, Achmad Dimas Duzazagi Akbar Dwi Ivayana Sari, Dwi Ivayana Elisabet Ayunika Permata Sari Elly Anjarsari enny listiawati, enny Evangelista Lus Windyana Palupi Evi Novita Wulandari Faizah, Ayu Mazidatul Farman Farman Farman, Farman Fatriya Adamura Filda Maria Chiftia Firdiana, Winda Florensia, Tasya Florida Moza, Florida Hongki Julie I Ketut Budayasa I Wayan Puja Astawa Janet Trineke Manoy Kusumaningtyas, Septhiana Indra Lukito, Agung Lukman Jakfar Shodiq Lutfiah, Farah Conita M. J. Dewiyani Sunarto Maulana, Dimas Avian Muhtarom muhtarom Naufal Ishartono NIHAYATUS SAADAH Nikmarocha Ningsi, Gabariela Purnama Pradnyo Wijayanti Purnama, Mohammad Dian RADEN SULAIMAN Rahman, Fatchiyah Rahmatika, Ismi Rahmawati Nur Aini Rahmawati, Anis Wahyu Rasyidah, Salma Azmi Reni Rachmawati Reni Rachmawati Reny Wahyuni Rohmania, Ainnur Rooselyna Ekawati RUDIANTO ARTIONO, RUDIANTO S, Adnan Santoso, Hajar Ahmad Septhiana Indra Kusumaningtyas, Septhiana Indra SETYONINGSIH, ANIS Siolimbona, Dedi Rahman Siti Khabibah Siti Khabibah Siti Maghfirotun Amin Sitti Maesuri Patahudin Soffil Widadah Soffil Widadah, Soffil St. Suwarsono suhendar, uki Suliani, Mega Sumaji Susanah Susanah Tatag Yuli Eko Siswono Widayanti, Evi Wulandari, Evi Novita Yuliati, Ikha Yulistina, Fika Yunianti, Dwi Nur