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All Journal ENGAGEMENT: Jurnal Pengabdian Masyarakat JRAMathEdu (Journal of Research and Advances in Mathematics Education)
Dewi Rosikhoh
Universitas Islam Negeri Madura
Religion Humanities Mathematics Social Sciences

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Defragmentation of construction holes in students with high mathematical ability: Addressing “skipping steps” errors using scaffolding Liny Mardhiyatirrahmah; Dewi Rosikhoh
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 11, Issue 1, January 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v11i1.14077

Abstract

High-ability students generally excel in mathematics but frequently make "skipping steps" errors during complex problem-solving. These errors occur due to cognitive construction holes, where specific schemas are unconsciously bypassed, leading to incomplete final solutions. This study aims to identify and defragment these construction holes in high-mathematical-ability students using Level-3 scaffolding to restore complete cognitive processing.  A qualitative multiple-case study was conducted involving three high-ability eighth-grade students from three different middle schools. Data were comprehensively collected through written tests, semi-structured interviews, and observations. The analysis utilized cognitive mapping based on Polya’s problem-solving stages to pinpoint specific cognitive gaps.  Each student exhibited a "Skipping Steps" construction hole, omitting one or two essential schemas in the final stages. The application of Level-3 scaffolding successfully guided students to recover these missing schemas. It enabled them to self-detect errors, reconstruct their mathematical reasoning, and achieve accurate solutions while fully maintaining their procedural independence. Targeted conceptual scaffolding effectively remediates light construction holes in high-ability learners, ensuring problem-solving completeness without compromising their learning autonomy.
Utilizing Used Paint Buckets as Trash Bins to Improve Environmental Cleanliness at the Zainul Ilah Foundation, Pamekasan Dewi Fuji Astutik; Nuri milatus Zehroh; Maulidiatul Jannah; Moh. Imamuddin; Dewi Rosikhoh
ENGAGEMENT: Jurnal Pengabdian Masyarakat Vol. 5 No. 3 (2026): Community Empowerment and Services
Publisher : Perkumpulan Dosen Fakultas Agama Islam Indramayu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58355/engagement.v5i3.210

Abstract

This community service initiative aimed to repurpose used paint buckets into trash bins, serving as a simple means to support environmental cleanliness at the Zainul Ilah Larangan Badung Foundation in Pamekasan. The project was carried out by students from the Darul Hikmah KKN (Student Community Service) Post 07, involving several stages: material collection, bucket cleaning, wooden frame construction, bucket installation, painting, labeling, final inspection, and the selection of placement sites for distribution. The materials used included used paint buckets; green, yellow, brown, and white paint; paint thinner; wood; paintbrushes; a drill; a saw; nails; and a hammer. The project resulted in the completion of one pair (two units) of trash bins ready for use. These bins were subsequently placed at locations mutually agreed upon with the foundation. The initiative demonstrates that used paint buckets can be effectively repurposed into simple, functional, and economical sanitation facilities. However, as no quantitative measurements regarding the quantity or volume of waste were taken before and after the program, no measurable claims regarding the impact on cleanliness levels could be made. The provision of these facilities is expected to encourage the habit of proper waste disposal and foster greater awareness of environmental cleanliness.
Co-Authors Dewi Fuji Astutik Liny Mardhiyatirrahmah Maulidiatul Jannah Moh. Imamuddin Nuri milatus Zehroh