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Profile of Students' Ability to Solve Group Material Problems Based on APOS Theory Reviewed from Differences in Mathematical Ability Adamura, Fatriya; Juniati, Dwi; Khabibah, Siti
Journal of Science and Education (JSE) Vol. 6 No. 2 (2026): Journal of Science and Education (JSE)
Publisher : CV. Media Digital Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58905/jse.v6i2.737

Abstract

This study aims to describe the profile of students' ability to solve group material problems based on APOS theory reviewed from differences in mathematical ability. The research uses a qualitative descriptive approach that focuses on revealing students' thinking processes in understanding abstract algebraic concepts. The research subjects consisted of three students who were purposively selected based on the results of the mathematical ability test, namely students with high, medium, and low mathematical ability. The research instruments include mathematical ability tests, group material problem solving tests designed according to the stages of APOS theory, and semistructured interview guidelines. Data is analyzed through the stages of data reduction, data presentation, and conclusion drawing by referring to the indicators of each stage of APOS, namely action, process, object, and schema. The results of the study show that students with high mathematical ability are able to fulfill all stages of APOS completely and consistently. Medium-skilled students are able to reach the action, process, and object stages, but have not fully reached the schema stage. Meanwhile, low-skilled students are only able to perform part of the action stage and experience difficulties at the process, object, and schema stages. These findings show that early mathematical ability has a significant effect on the construction of group concept comprehension. This study confirms that APOS theory is effectively used as an analytical framework to map students' conceptual understanding of abstract algebraic materials, especially group concepts, and provides important implications for the design of mathematics learning in higher education.
How Adversity Quotient and Learning Independence Affect Students' Mathematical Problem-Solving Ability Ningsi, Gabariela Purnama; Juniati, Dwi; Khabibah, Siti
Vygotsky: Jurnal Pendidikan Matematika dan Matematika Vol. 7 No. 1 (2025): Vygotsky: Jurnal Pendidikan Matematika dan Matematika
Publisher : Universitas Islam Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30736/voj.v7i1.1146

Abstract

This study aims to analyze the influence of Adversity Quotient (AQ) and learning independence on students' mathematical problem-solving abilities and to explore problem-solving strategies based on differences in AQ and learning independence levels. The study employed a mixed-methods approach with a sequential explanatory design, involving 150 secondary school students. Results showed that AQ and learning independence significantly influenced problem-solving abilities, with learning independence having a greater impact. Students with high learning independence were more innovative and persistent, while those with low independence faced challenges. This study highlights the importance of developing AQ and learning independence to enhance students' problem-solving skills. Education should strengthen these aspects through strategies like project-based learning and resilience training, to better prepare students for real-world challenges.
Eksplorasi berpikir kreatif siswa dalam pemecahan masalah matematika berbasis computational thinking Rosyana, Tina; Juniati, Dwi; Khabibah, Siti
JPMI (Jurnal Pembelajaran Matematika Inovatif) Vol. 9 No. 1 (2026): JPMI
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jpmi.v9i1.30720

Abstract

Creativity in problem-solving needs to be strengthened through a systematic thinking framework. This study aims to explore students' creative thinking patterns in solving mathematics problems based on computational thinking (CT). A descriptive qualitative approach was employed, involving three junior high school students in West Bandung Regency representing high, medium, and low levels of mathematical ability. Data were collected through semi-structured in-depth interviews and essay test focusing on four elements of CT (decomposition, pattern recognition, abstraction, and algorithmic thinking) and four indicators of creative thinking (fluency, flexibility, originality, and elaboration). The results revealed High-ability students demonstrated strong integration between CT and conceptual creativity. Medium-ability students exhibited strategic flexibility, although their symbolic representations were not yet stable. In contrast, low-ability students tended to rely on procedural approaches. This study confirms that CT can function as a systematic thinking framework to foster creativity in 21st-century mathematics learning. It also contributes theoretically to understanding the dynamic relationship between CT and mathematical creative thinking and practically to the design of pattern-based tasks that stimulate student creativity.
Analysis of Students’ Mathematical Reasoning Ability on Junior High School Usman, Ulfiani; Juniati, Dwi; Khabibah, Siti
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Vol. 9 No. 1 (2026): VOLUME 9 NUMBER 1, MARCH 2026
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jiml.v9i1.30533

Abstract

Students’ mathematical reasoning ability (MRA) is an essential component of mathematics learning, particularly for solving non-routine problems. However, many junior high school students still rely on procedural strategies without sufficient conceptual understanding, resulting in weak reasoning skills, especially in geometry topics such as the Pythagorean Theorem, indicating the need for a detailed analysis of students’ mathematical reasoning ability. This study aims to analyze junior high school students’ mathematical reasoning ability on the Pythagorean Theorem based on four indicators: proposing conjectures, performing mathematical transformations, providing logical justification, and drawing conclusions. A descriptive qualitative approach was employed involving 31 eighth-grade students of SMP Negeri 1 Raha selected through purposive sampling. Data were collected using an open-ended mathematical reasoning ability test related to the Pythagorean Theorem and supported by semi-structured interviews. Data analysis was conducted using Miles and Huberman’s interactive model, consisting of data reduction, data display, and conclusion drawing and verification. The results indicate that 6% of students demonstrated high mathematical reasoning ability, 8% were categorized as moderate, and 86% were classified as low. Most students experienced difficulties in formulating conjectures, transforming contextual problems into mathematical models, providing logical justification, and drawing valid conclusions. In conclusion, students’ mathematical reasoning ability on the Pythagorean Theorem remains relatively low. Therefore, instructional strategies that emphasize conceptual understanding, reasoning processes, justification, and reflective thinking are necessary to improve students’ mathematical reasoning abilities.
Uncovering Gender-Role Differences in Reflective Thinking: A Qualitative Study of Prospective Teachers Solve Open-Ended Mathematics Problems Abidin, Zainal; Budayasa, I Ketut; Khabibah, Siti
International Journal of Research and Community Empowerment Vol. 4 No. 2 (2026): August 2026
Publisher : Mitra Edukasi dan Publikasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58706/ijorce.v4n2.p93-103

Abstract

Reflective thinking is a critical cognitive process that supports students in analysing, monitoring, and evaluating their reasoning when solving mathematical problems. This study aims to reveal differences in prospective teachers’ reflective thinking when solving open-ended mathematics problems. This qualitative case study involved two prospective teachers representing masculine male and feminine female gender-role orientations. Subjects were selected based on a gender questionnaire and mathematical ability. Instruments included a gender questionnaire, problem-solving tasks, and semi-structured interviews. Data were analysed through classification, reduction, presentation, interpretation, and conclusion drawing, with credibility ensured through time triangulation. The results indicate that the masculine male participant demonstrated a more systematic and complete reflective thinking profile, articulated logical justifications, and explored alternative strategies. In contrast, the feminine female participant presented incomplete and unsystematic steps, with limited logical reasoning and strategic variation. These findings show that gender-role orientation qualitatively influences reflective thinking in solving open-ended problems. This study contributes to Sustainable Development Goal 4 (Quality Education) by providing insights for designing gender-responsive and adaptive mathematics instruction to strengthen prospective teachers’ reflective thinking and promote equitable learning quality.
Improving Mathematical Critical Thinking Among Junior Secondary Students: A Problem-Based Learning Approach to Algebraic Content Usmiyatun; Juniati, Dwi; Khabibah, Siti
MATHEdunesa Vol. 15 No. 1 (2026): Jurnal Mathedunesa Volume 15 Nomor 1 Tahun 2026
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v15n1.p134-147

Abstract

The purpose of this research is to examine how the Problem-Based Learning (PBL) model can be effectively applied to foster critical thinking abilities in junior secondary students, particularly within the domain of algebra. This study employed a qualitative approach with a teaching experiment design conducted in Grade VII A (29 students) at SMP PGRI II Wajak over four sessions. Data were collected through observation, pretest-posttest, student worksheets (LKPD), and questionnaires about learning motivation. According to Facione, the tool used to evaluate critical thinking skills includes six indicators: The study’s findings indicate notable progress in students’ critical thinking skills across six core dimensions: interpretation, analysis, evaluation, inference (conclusion), explanation, and self regulation evident both in their problem-solving performance and throughout the learning process. Both the N-Gain results, which were categorized as high (62.07%) and medium (37.93%), and the observation results, which demonstrated the domination of the good to very good category during the third meeting, demonstrate this growth. These results suggest that using the PBL paradigm can enhance students' quantitative critical thinking abilities and possibly boost their enthusiasm to learn. This study suggests using PBL as an alternative learning approach focused on fostering the growth of higher order thinking abilities.
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 Fatimatuzzahra, Nabilla FATMAWATI BM, INDAH Fatriya Adamura Firdaus, Andi Mulawakkan Florensia, Tasya Florida Moza, Florida I Ketut Budayasa 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 Tina Rosyana, Tina Trianingsih, Ervina Usman, Ulfiani Usmiyatun Widayanti, Evi Wijaya, Muhammad Avicenna Wahyu Wulandari, Evi Novita Y.D Sumanto Yosep Dwi Kristanto Yuliati, Ikha YUSUF FUAD Zainal Abidin