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All Journal Jurnal Elemen Proceeding International Conference on Mathematics and Learning Research
Berliani Ardelia Sukowati
Universitas Muhammadiyah Surakarta
Education Mathematics Other

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Exploration of Students' Problem Solving Ability on Arithmetic Material in a Constructivist Philosophy Perspective Review Berliani Ardelia Sukowati; Miftachul Hidayati; Auliya Ningrum; Muhammad Noor Kholid
Proceeding International Conference on Mathematics and Learning Research 2025: Proceeding International Conference on Mathematics and Learning Research
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

This study aims to explore the mathematical problem-solving abilities of male and female students on arithmetic sequence and series material from a constructivist philosophical perspective. The research was motivated by the generally low problem-solving performance of Indonesian students, as reflected in international assessments such as PISA and TIMSS. Employing a qualitative case study design, the research involved two eighth-grade students from SMP Negeri 3 Satu Atap Tawangharjo, each representing a high-achieving male and female student. Data were collected through written tests, interviews, observations, and documentation, and analyzed using an interactive model. Findings reveal that both male and female students achieved all mathematical problem-solving indicators, yet exhibited distinct cognitive patterns. Male students demonstrated logical and spatial strategies but tended to overlook the rechecking stage, while female students showed more verbal, organized, and reflective problem-solving behaviors. From a constructivist perspective, these differences highlight the importance of meaningful, experience-based learning that supports individual knowledge construction.The study suggests that mathematics instruction should integrate varied contextual problems, promote reflective habits, and adopt gender-responsive strategies to enhance students' problem-solving competence. Future research is encouraged to broaden the scope across different topics and student populations.
Investigating the fragmentation of students’ creative thinking structures in realistic mathematics education: A qualitative case study of junior high school students Yoga Tegar Santosa; Nining Setyaningsih; Berliani Ardelia Sukowati; Dini Wardani Maulida; Mutiara Hisda Mahmudah; Ade Ayu Meganingrum
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.32899

Abstract

The fragmentation of creative thinking structures is a phenomenon requiring serious attention in Realistic Mathematics Education (RME). However, studies that systematically explore how students’ creative thinking fragmentation manifests across RME learning stages remain limited. This study aims to examine the types and forms of students' creative thinking fragmentation across four RME activities: situation, model of situation, model for knowledge, and formal mathematics. This research employs a qualitative case study design. Participants consisted of 18 seventh-grade students from an Integrated Islamic Junior High School in Sukoharjo Regency. Data were collected through non-routine mathematical problem tests and in-depth interviews, with validity ensured through source triangulation. Data analysis involved thematic coding based on a fragmentation typology aligned with RME stages, followed by data reduction, display, and conclusion drawing. The results identified five types of fragmentation: (1) less-strict fragmentation at the situation stage, (2) translational fragmentation (text to symbol) at the situation stage, (3) pseudo-false fragmentation at the model of situation stage, (4) translational fragmentation (text to image) at the model for knowledge stage, and (5) pseudo-true fragmentation at the formal mathematics stage. These findings extend theoretical perspectives and inform instructional design and scaffolding strategies in RME classrooms.
Co-Authors Ade Ayu Meganingrum Auliya Ningrum Dini Wardani Maulida Miftachul Hidayati Muhammad Noor Kholid Mutiara Hisda Mahmudah Nining Setyaningsih Yoga Tegar Santosa