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Analysis of the Refractive Thinking of Students in Decision Making on Open Problems in Mathematics Ardiana Ardiana
QALAMUNA: Jurnal Pendidikan, Sosial, dan Agama Vol. 17 No. 2 (2025): Qalamuna - Jurnal Pendidikan, Sosial, dan Agama
Publisher : Lembaga Penerbitan dan Publikasi Ilmiah Program Pascasarjana IAI Sunan Giri Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37680/qalamuna.v17i2.8113

Abstract

This study aims to describe students’ decision-making processes in solving open mathematical problems based on refractive thinking. The research employed a qualitative approach with a descriptive design. The participants were undergraduate students of the Mathematics Education Study Program at the State University of Malang, selected purposively based on decision-making style, domicile, and understanding of the problem context. Research instruments included validated open-ended problem sets based on graph theory and semi-structured interview guides. Data were collected through problem-solving tasks and in-depth interviews, and then analyzed using Miles and Huberman’s interactive model, which consists of data reduction, data display, and conclusion drawing. The findings reveal that students experienced five stages of reflective thinking—perplexity, investigation, construction, evaluation, and decision—throughout the decision-making process. Students with a rational style demonstrated more systematic and consistent reasoning, while intuitive, dependent, and avoidant students tended to perform incomplete evaluations. These results highlight that refractive thinking plays a crucial role in forming logical and adaptive decisions. The study implies that open-ended, context-based mathematics learning can effectively enhance students’ higher-order thinking through reflective and evaluative reasoning. Future research should explore the development of instructional models and digital-based learning environments that systematically foster reflective thinking and decision-making skills across diverse cognitive styles and educational levels.
Penguatan Literasi Matematika Berbasis Permainan Tradisional Cenge-Cenge Ida Kurnia Waliyanti; Ahmad Afandi; Nurma Angkotasan; Hasriani Ishak; Soleman Saidi; Ardiana Ardiana
Bima Abdi: Jurnal Pengabdian Masyarakat Vol. 6 No. 1 (2026): Bima Abdi: Jurnal Pengabdian Masyarakat
Publisher : Yayasan Pendidikan Bima Berilmu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53299/ba-jpm.v6i1.3712

Abstract

Matematika masih sering dipersepsikan sebagai mata pelajaran yang sulit dan menakutkan oleh sebagian besar anak, sehingga berdampak pada rendahnya minat dan motivasi belajar. Kondisi ini menjadi semakin kompleks pada anak-anak putus sekolah, yang memiliki keterbatasan akses terhadap pembelajaran formal, sehingga kemampuan literasi, khususnya literasi matematika, cenderung rendah. Rendahnya literasi matematika berimplikasi pada kesulitan anak dalam memahami dan memecahkan permasalahan sederhana yang berkaitan dengan kehidupan sehari-hari. Salah satu alternatif solusi yang dapat diterapkan adalah penguatan literasi melalui pemanfaatan permainan tradisional, salah satunya permainan Cenge-cenge. Kegiatan pengabdian kepada masyarakat ini dilaksanakan pada kelompok anak-anak putus sekolah binaan organisasi Dharma Wanita Persatuan Kota Ternate yang tergabung dalam Wahana Edukasi Masyarakat. Tujuan kegiatan ini adalah meningkatkan minat dan motivasi belajar anak terhadap matematika serta mengembangkan kemampuan literasi matematika melalui pendekatan pembelajaran berbasis permainan. Metode yang digunakan meliputi kegiatan pendampingan, eksplorasi konsep matematika sederhana, serta pembelajaran kontekstual yang terintegrasi dalam permainan Cenge-cenge. Hasil kegiatan menunjukkan adanya peningkatan minat belajar, partisipasi aktif anak, serta pemahaman konsep matematika dasar, sehingga anak mulai menyadari bahwa matematika memiliki manfaat nyata dan aplikatif dalam kehidupan sehari-hari.
Development of an Interactive Learning Medium to Improve Students’ Abstraction Ability Maharani, Swasti; Romandoni, Hendrisa Rizqie; Ardiana, Ardiana
Edumatica : Jurnal Pendidikan Matematika Vol 16 No 2 (2026): Edumatica: Jurnal Pendidikan matematika (Agustus 2026)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v16i2.47687

Abstract

Mathematical abstraction ability is an essential higher-order thinking skill required for understanding abstract concepts in geometry. However, many junior high school students still experience difficulties in transitioning from concrete representations to abstract mathematical reasoning. This study aimed to develop an interactive learning medium to support students’ abstraction ability in learning plane geometry and examine its validity, practicality, and effectiveness. This research employed a Research and Development approach using the ADDIE model, which consists of analysis, design, development, implementation, and evaluation stages. The developed medium integrates interactive visualization, structured learning sequences, instructional videos, and practice activities designed to facilitate abstraction processes. The validation results showed that the medium achieved a validity percentage of 87.00%, categorized as very valid. The practicality test results indicated that the medium was very practical, with percentages of 87.50% in the limited trial and 87.70% in the field trial. Furthermore, effectiveness analysis using a pretest–posttest design revealed a medium normalized gain score (N-gain) of 0.56, indicating a meaningful improvement in students’ abstraction ability. These findings suggest that the interactive learning medium developed in this study is valid, practical, and effective for supporting abstraction ability in junior high school mathematics learning.