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Sumaji
Universitas Muria Kudus
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Journal : Jurnal Pendidikan MIPA

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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 Aini Indriasih Aini Indriasih Aini Indriasih Alip Sugianto, Alip Amin, Shodiqul Angga Prasetyo Anisa, Hanifatul Arisyahidin, Arisyahidin Ariyanto, Muhammad Puji Ayumni, Febi B. Badjuri Bagyana, Muhammad Fathur Barokah Widuroyekti Bekti Setiya Ningsih Boby Waluyo Purna Irawan Cahyani, Febriska Dwi Devia Fachrunnisa, Ifada Nurma Diana Ermawati Dwi Juniati Edi Prayitno, Edi Eko Darmanto Evi Ekawati Fajar Nugraha Faradila, Anindya Fauzan Masykur Febriani, Afnia Dwi Feby Fauzia Ulya Fina Fakhriyah Fitri Budi Suryani Fitri Budi Suryani, Fitri Budi Fitriani, Intan Fransisca Franoto, Okfian Ari Gunarhadi Gunarhadi, Gunarhadi Hari Abrianto, Tegoeh Hariyono, Mohamad Henry Suryo Bintoro Herini, Muji Herlian, Elva Margareta Hidayat, Muhammad Faqih Himmatul Ulya Himmatul Ulya Himmatul Ulya, Himmatul Ulya Ika Isna Umiyati Ika Oktaviyanti Ika Oktaviyanti, Ika Indah Dwi Irawati Intan Sari Rufiana Irfai Fathurohman, Irfai Istiningsih, Istiningsih Izzun Ilaina Jayanti Putri Purwaningrum Jihanifa, Firda Afita Kirana, Rara Netra Ihya Kusumawardani Assholihah, Salma Ragil Lovika Ardana Riswari Martini Martini Masturi Masturi Mila Roysa, Mila Muchtadi Muchtadi, Muchtadi Muhammad Ali Ridho Muhammad Imam Ghozali Muhammad Puji Ariyanto Novita Meliya Putri Nugraheni, Luthfa Nur Afipah Tania Dwi Safitri Nurul Hidayati Nurwijayanti Pitaloka, Widuri Bebby Prasetyaningsih, Erny Premprayoon, Kasem Putri Utami, Nabila Putri, Melsya Septian Sandhika Qulil Jannah, Syafaaqila Rahaju Rahaju Rahaju, Rahaju Ratri Rahayu Ristiyani Ristiyani Riyanto, Sherly Nouvita Rohmana, Mufdhalifatul Royyana Ulyl Albab Rusandy, Deby Santyo S. Santoso Saadah, Mayada Hilyatus Sabar Rutoto Sabar Rutoto, Sabar Sari, Vany Diah Puspita Sasmi, Ahmad Ilham Savitri Wanabuliandaari Savitri Wanabuliandari Sa’adah, Safinatus Sekar Dwi Ardianti Sekar Dwi Ardiyanti Septyana, Neva Setiawati, Rani Setyawan, Moh. Bhanu Shahira, Salma Pasa Siti Khabibah Sri Hariyani Sri SUMIYATI Sri Sumiyati Sri Utaminingsih Sri Utaminingsih Sugianti, Sugianti suhendar, uki Sulaikhah Sulaikhah Sumarno . Sunaryo Suryo Bintoro, Henry Tatik Retno Murniasih Tri Listyorini Trinuryono, Sabekti Ulya, Feby Fauzia W, Sri Surachmi Wahyudi Wahyudi Wanabuliandari , Savitri Widianingrum, Evi Yovi Litanianda, Yovi Yuli Haryati Yulianti, Hiqmatul Ika Yulita Putri, Alifia Hesty YUNI KURNIAWATI Zayyadi, Moh