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All Journal Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Pengabdian Masyarakat Bangsa
Saefulloh, Annisa Hevita Gustina Kumalasari
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Peningkatan Literasi Statistika dan Pemahaman Peluang bagi Siswa SMA Negeri 1 Sukoharjo melalui Media Interaktif GeoGebra Saefulloh, Annisa Hevita Gustina Kumalasari; Baiti, Putri Isnaini Cahyaning; Azzanina, Nanda; Ratam, Aldila Nur Indah Berliana; Marisa, Marisa
Jurnal Pengabdian Masyarakat Bangsa Vol. 3 No. 12 (2026): Februari
Publisher : Amirul Bangun Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59837/jpmba.v3i12.4145

Abstract

Siswa SMA sering mengalami kesulitan dalam memahami konsep statistika dan peluang yang bersifat abstrak, sehingga berdampak pada rendahnya kemampuan numerasi dan literasi statistik. Kurangnya media pembelajaran interaktif menjadi salah satu kendala dalam proses pembelajaran matematika di SMA N 1 Sukoharjo. Program Pengabdian kepada Masyarakat ini bertujuan meningkatkan literasi statistika siswa melalui pelatihan interaktif berbasis aplikasi GeoGebra. GeoGebra merupakan perangkat lunak matematika dinamis yang memungkinkan visualisasi data, grafik, dan simulasi peluang secara interaktif sehingga membantu siswa memahami konsep secara lebih konkret. Kegiatan dilaksanakan melalui tahapan pre-test, pelatihan interaktif, pemberian lembar kerja, post-test, serta evaluasi kepuasan peserta. Hasil kegiatan menunjukkan adanya peningkatan pemahaman konsep statistika dan peluang pada sebagian besar peserta. Luaran program berupa bahan ajar interaktif berbasis GeoGebra, lembar kerja siswa, serta dokumentasi kegiatan. Program ini diharapkan dapat meningkatkan motivasi belajar matematika dan mendorong pemanfaatan teknologi pembelajaran yang inovatif di SMA.
Optimasi Penentuan Basis Risiko pada Jaringan Saham Keuangan Menggunakan Dimensi Metrik untuk Estimasi Value at Risk Saefulloh, Annisa Hevita Gustina Kumalasari; Baiti, Putri Isnaini Cahyaning; Simanjuntak, Erica Grace; Latifah, Rahmatika Zaqiatul
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37004

Abstract

This study aims to optimize systemic risk monitoring in the Indonesian financial sector network by determining the minimum risk basis using the Metric Dimension concept. The high complexity of inter-asset correlations requires a dimension reduction method that maintains structural information regarding risk exposure. Daily stock price data from 10 financial issuers (banking, insurance, and financing) for the five-year period from January 1, 2021, to December 31, 2025, were used. The data were transformed into a weighted graph through a log-return correlation matrix converted into metric distances. The resolving set (W) was determined using a greedy algorithm to identify the optimal basis. Validation was performed by analyzing the correlation between the metric coordinates of each issuer and its 95% Value at Risk (VaR). The results showed that the financial network has a metric dimension of dim(G) = 1, with ADMF.JK selected as the optimal resolving set (basis). Actuarial validation revealed a significant negative correlation (−0.5495) between the metric distance and VaR. This implies that the metric distance from the basis can linearly map the magnitude of market risk, offering an efficient strategy for investment managers to monitor portfolio stability through a single reference entity.
Co-Authors Aldila Nur Indah Berliana Ratam Azzanina, Nanda Baiti, Putri Isnaini Cahyaning Latifah, Rahmatika Zaqiatul Marisa Marisa Simanjuntak, Erica Grace