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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika EKUIVALEN - Pendidikan Matematika MATEMATIKA Jurnal Daya Matematis Jurnal Pendidikan Matematika RAFA Journal of Research and Advances in Mathematics Education Jurnal Gantang Jurnal Dimensi Pendidikan dan Pembelajaran Muaddib : Studi Kependidikan dan Keislaman Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Honai Math JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya MAJAMATH: Jurnal Matematika dan Pendidikan Matematika International Journal for Educational and Vocational Studies Transformasi : Jurnal Pendidikan Matematika dan Matematika Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) Jurnal Ilmiah Pendidikan Matematika Al Qalasadi JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran JIIP (Jurnal Ilmiah Ilmu Pendidikan) MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Ed-Humanistics : Jurnal Ilmu Pendidikan Studies in Learning and Teaching SUPERMAT (JURNAL PENDIDIKAN MATEMATIKA) Journal of Science and Education (JSE) Amarasi : Jurnal Desain Komunikasi Visual Mazahib: Jurnal Pemikiran Hukum Islam Cendekia: Jurnal Kependidikan dan Kemasyarakatan Edumatica: Jurnal Pendidikan Matematika Cartesian: Jurnal Pendidikan Matematika MATHEdunesa JME (Journal of Mathematics Education) Journal of Mathematical Pedagogy (JOMP) Jurnal Pendidikan MIPA
Siti Khabibah
Program Studi Matematika, FSM UNDIP Jl. Prof. Soedarto, S.H. Semarang, 50275
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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 Abda Abda Afiq Fikri Almas Agus wiyanto Ainun Fitri Mughiroh Amin, Siti M ANANDA PUTRI ASYARI, DWI Anarato, Elsiani Anwari . Arief Budi Wicaksono Asmarani, Ratih Astuti, Sriyati Dwi bin Ahmad, Khadher DEWI PURBASARI, SISKA Dhany Fachrudin, Achmad Djuwandi Djuwandi Dwi Juniati Dwi Nurhidayati, Dwi Dwi Rahmawati, Novia El Adhim, Nailul Munah Elfrida Ratnawati Erlin Dwi Endarwati, Erlin Dwi Evangelista Lus Windyana Palupi Fadilah, Siti Umi Faizah, Siti Fajarman, Fajarman Farman, Farman Fathoni Fathoni Fatimatuzzahra, Nabilla FATMAWATI BM, INDAH Fatriya Adamura Firdaus, Andi Mulawakkan Florensia, Tasya Florida Moza, Florida Iftitaahul Mufarrihah Iftitaahul Mufarrihah Istiadah, Yeti Ivan Riyadi, Ivan Juwanda, Farikhin Khoiroh Alfiana, Khoiroh Kistatuhu, Nurul Wahidatul Lucia Ratnasari Lutfiah, Farah Conita Malayati, Robiah Marhumah Mariana, Risa MASRIYAH Mega Teguh Budiarto Moch Fandi Ansori Mun'im, Zainul Mutammimah, Heppy n, khotimatuzzulfah NIHAYATUS SAADAH Nikken Prima Puspita Ningsi, Gabariela Purnama Novia Dwi Rahmawati NUR AMALIA, YUSRINA Nur Kolis, Nur NUR KURNIA RINI, ROCHMAH NUR MILADIA, FIRLY Nurul Fadilah, Nurul Nurul Huda Nuswantoro, Ari Wahyudi Oktavia, Ayu Pradika, Inggar Dwi Prayogo, Prayogo PUTRI DAMAYANTI, DYAH Rahma Ramadhani Restuningsih RISYWANDHA, IHMAH Robertus Heri Sulistyo Utomo Rodliyah, Iesyah Sa'adah, Nihayatus SAADAH, IQLIMATUS Sa’adah, Nihayatus Santoso, Hajar Ahmad Saraswati, Sari Sa’adah, Nihayatus Shafa Alistiana Irbathy Siolimbona, Dedi Rahman Siti Maghfirotun Amin SIWI, HESTINING Slamet, Moh. Soeparna Darmawijaya Soffil Widadah, Soffil Solikhin Solikhin St. Suwarsono Suhadi suhendar, uki Sumaji Susilo, Claudya Zahrani Tatag Yuli Eko Siswono Trianingsih, Ervina Widayanti, Evi Wijaya, Muhammad Avicenna Wahyu Wulandari, Evi Novita Y.D Sumanto Yosep Dwi Kristanto Yuliati, Ikha YUSUF FUAD