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Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam
Published by Asosiasi Riset Ilmu Matematika dan Sains Indonesia
ISSN : 30481732     EISSN : 30628652     DOI : 10.62383
Core Subject : Education,
Mathematics
Sub Rumpun Ilmu IPA: 1. Fisika 2. Kimia 3. Biologi (dan Bioteknologi Umum) 4. Bidang Ipa Lain Yang Belum Tercantum Sub Rumpun Ilmu MATEMATIKA: 1. Matematika 2. Statistik 3. Ilmu Komputer 4. Bidang Matematika Lain yang Belum Tercantum
Arjuna Subject : Matematika - Matematika Komputer
Articles 98 Documents
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Pengaruh Modul Interaktif Terintegrasi ESD terhadap Minat Belajar dan Keterampilan Berpikir Kreatif Peserta Didik Kelas VII SMPN 23 Pekanbaru Rahmah Tika Syurya; Hadi Purwanto; Defrizal Hamka; Widodo Widodo
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 3 (2025): September : Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.761

Abstract

The effect of the integrated interactive Education for Sustainable Development (ESD) module on learning interest and creative thinking skills of class VII students at SMPN 23 Pekanbaru was the focus of this study. One of the learning resources that is particularly suitable for the 21st century is interactive modules. These modules serve as detailed learning packages designed to help students achieve their learning objectives. The Education for Sustainable Development (ESD) approach used in this study aims to not only increase students' interest and readiness to learn but also enhance their creative thinking skills. The purpose of this research was to examine and analyze the effect of the integrated interactive ESD module on learning interest and creative thinking skills, and to describe the correlation between learning interest and creative thinking skills in students. The study employed a quasi-experimental design combined with correlation analysis, using instruments such as a learning interest questionnaire and a creative thinking skills test. The findings of the study indicated that the integrated interactive ESD module had a significant effect on both the learning interest and the creative thinking skills of students. Furthermore, there was a positive correlation between learning interest and creative thinking skills, suggesting that enhancing students' engagement in the learning process through interactive modules can foster the development of their creative thinking abilities. These results highlight the importance of interactive learning resources in supporting student achievement in the 21st century
Pengaruh E-Modul Terintegrasi Etno-Stem melalui Project Based Learning (PJBL) terhadap Keterampilan Berpikir Kreatif Siswa pada Materi Zat dan Perubahannya Sudarmi Sudarmi; Hadi Purwanto; Neng Shaolihat; Via Alissa
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 3 (2025): September : Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.762

Abstract

Creative thinking skills are fundamental competencies to be nurtured in 21st-century learning, especially within science education. One promising approach to developing these skills is the use of an Etno-STEM integrated E-Module implemented through the Project-Based Learning (PjBL) model. The Etno-STEM integration seeks to link local wisdom and culture with the domains of science, technology, engineering, and mathematics, thereby creating meaningful, contextualized learning experiences. This study aims to investigate the impact of implementing an Etno-STEM integrated E-Module through PjBL on students’ creative thinking skills. The research employed a quasi-experimental design with two classes: an experimental group using the Etno-STEM integrated E-Module and a control group using cooperative learning strategies. Research instruments comprised both test and non-test tools. The test instrument included objective-reasoned questions aligned with four creative thinking indicators—fluency, flexibility, originality, and elaboration—while the non-test instrument involved structured observation sheets to monitor learning implementation. Data analysis demonstrated that the Etno-STEM integrated E-Module using the PjBL model significantly improved students’ creative thinking skills compared to conventional approaches. This finding highlights the potential of combining local wisdom with innovative instructional models as an effective and culturally responsive strategy for advancing science learning aligned with 21st-century educational demands.
Optimalisasi Pemahaman Matematika Santri MTs Swasta Darularafah dengan Sistem Pendukung Keputusan Berbasis VIKOR Khairunnisa Ani Putri; Sofiah Aini; Rika Hanifah Tanjung; Nursakila Ena Anjani
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 3 (2025): September : Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.766

Abstract

Modern Islamic boarding schools not only focus on religious education, but are also required to improve the academic quality of students, including in mathematics subjects which are often challenging due to differences in students' learning styles, motivations, and abilities. This study aims to design and implement a Decision Support Sistem (DSS) based on the VIKOR method to analyze students' mathematical understanding and provide recommendations for more adaptive learning strategies. The study uses a descriptive quantitative approach with data obtained through documentation of students' grades, as well as interviews with mathematics teachers. The VIKOR method is used to evaluate students' understanding based on five main criteria, namely exam scores, report card scores, attendance, attitudes and behavior, and skills, through a process of normalization, weighting, calculation of S, R, and Q scores, and ranking students. The results show that there are five students with the lowest level of mathematical understanding, namely A11, A4, A17, A1, and A12, who have the lowest VIKOR index scores. This low level of understanding is influenced by factors such as learning attitudes, attendance, report card scores, and skills, so they require further attention and guidance from teachers. The application of the VIKOR method in SPK has proven effective in optimizing the analysis of students' mathematics achievements and providing recommendations for more targeted personal learning strategies, thereby helping to improve the quality of education and maximize students' academic potential.
Kepadatan Populasi dan Pola Sebaran Teripang (Holothuroidea) di Perairan Pantai Tuhaha Pulau Saparua Kabupaten Maluku Tengah Fresylia Ribka Louhenapessy; Handy Erwin Pier Leimena; La Eddy
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.772

Abstract

Sea cucumbers (Holothuroidea) are marine organisms of high ecological and economic value, yet their populations in many tropical regions have declined due to exploitation pressures. This study aimed to analyze the density and distribution patterns of sea cucumbers in the coastal waters of Tuhaha, Saparua Island, Central Maluku Regency. A quantitative descriptive survey was conducted using 1 × 1 m quadrat transects along eight transect lines perpendicular to the shoreline. Density was calculated based on the number of individuals per unit area, while distribution patterns were determined using Morisita’s index. Four species of sea cucumbers were identified, namely Holothuria scabra, Holothuria atra, Bohadschia vitiensis, and Bohadschia marmorata, with a total of 33 individuals and an overall density of 0.19 ind/m². Species H. scabra exhibited the highest density (0.11 ind/m²), whereas H. atra and B. vitiensis had the lowest (0.01 ind/m²). The population distribution was aggregated (Id = 6.11), indicating a strong association with specific microhabitats, particularly muddy-sand substrates. Environmental parameters (temperature 30°C, salinity 30 ‰, pH 6.90) remained within the optimal tolerance range for sea cucumbers. These findings indicate that Tuhaha waters continue to support Holothuroidea populations; however, the aggregated distribution pattern reflects vulnerability to overexploitation. Therefore, ecosystem-based management through habitat conservation, catch restrictions, and the integration of aquaculture and restocking is essential to ensure the sustainability of sea cucumber resources in Central Maluku.
Hubungan Motivasi Belajar dan Persepsi Siswa terhadap Matematika dengan Hasil Belajar Matematika Kelas X SMA Al Islam 1 Surakarta Safira Rosyida; Wiwin Astuti
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i3.773

Abstract

This study was conducted to analyze the relationship between students’ learning motivation and their perception of mathematics with mathematics achievement among tenth-grade students at SMA Al Islam 1 Surakarta. Mathematics was chosen as the focus because it is often considered a subject that presents significant challenges for students, both in terms of conceptual understanding and in shaping positive attitudes toward learning. The study employed a correlational quantitative method, with the population consisting of all tenth-grade students and the sample limited to class X-9, comprising 36 students. The instruments used were a motivation questionnaire, a perception questionnaire, and mathematics learning outcomes obtained from mid-semester test scores. Data analysis included normality testing and Pearson correlation to identify the relationship among variables. The results indicated that learning motivation did not have a significant correlation with mathematics achievement. In contrast, students’ perception of mathematics showed a significant correlation with their academic performance. These findings suggest that students’ positive perceptions of mathematics can play a crucial role in supporting better academic achievement, while motivation alone may not guarantee higher performance. This study contributes to a deeper understanding of the factors influencing mathematics learning outcomes and provides a foundation for further research to develop more comprehensive tools for measuring motivation. Future studies are also encouraged to consider additional variables such as teaching strategies, parental involvement, and the overall learning environment in order to present a broader analysis of student success.
Supremum Pada Masalah Optimasi Fungsi Real Berdimensi Satu Menggunakan Python Aqilah, Khairunnisa; Muthia Shafa Nazahra; Rizky Suhaila Hsb; Septika Aulia Putri
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i4.882

Abstract

The concept of supremum is fundamental in real analysis and plays a crucial role in the optimization of single-variable real functions. In practice, not all functions attain their supremum explicitly, which necessitates numerical approaches to evaluate their behavior computationally. This study aims to analyze the supremum of several one-dimensional real functions with different characteristics using a grid-search method implemented in Python. Four functions were examined: a parabolic function, a rational function with a sharp peak, a discontinuous piecewise function, and a function with a vertical asymptote. The analysis involved modeling the functions, discretizing the domain, performing numerical approximation of the supremum, verifying the results against analytical values, and using graphical visualization to observe the function behavior near the supremum. The findings indicate that the supremum of the parabolic, rational, and piecewise functions can be accurately identified, with results consistent with analytical expectations despite minor deviations caused by grid resolution limitations in the rational function. Meanwhile, the function with a vertical asymptote yields an unbounded supremum, which cannot be attained within the domain. These results demonstrate that Python provides stable and reliable numerical estimates of the supremum across various types of one-dimensional real functions, validating the effectiveness of computational methods in supporting conceptual understanding of supremum.
Penerapan Integral Lipat Dua untuk Menghitung Volume Tiang Beton Berbentuk Tabung sebagai Dasar Estimasi Kebutuhan Material pada Struktur Pondasi Gedung Alvi Sahrin Nasution; Dear Sevtia Br Karo Karo; Gracia Lovian Girsang; Herdita Br. Ginting; Klara Manila Laoli; Windi Suryani
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i4.888

Abstract

This study examines the application of double integrals in calculating the volume of cylindrical concrete piles as a basis for estimating material requirements in building foundation structures. The volume calculation was carried out using a double-integral approach in polar coordinates for three pile segments with lengths of 4 m, 3.9 m, and 4 m, each having a diameter of 60 cm. The results were then validated using the standard geometric formula to ensure consistency and mathematical reliability. The obtained concrete volume was subsequently used to estimate material needs based on a 1:1.5:3 mix proportion consisting of cement, sand, and gravel. The findings indicate that double integrals can be effectively applied to generate accurate estimations of both volume and material requirements, supporting logistical planning in construction. This approach also highlights the strong connection between mathematical concepts—particularly multivariable calculus—and practical applications in civil engineering. Furthermore, the study emphasizes that double integrals may serve as a relevant alternative when structural modeling requires deeper analytical exploration or validation beyond conventional geometry. Therefore, the implementation of double integrals not only reinforces theoretical understanding but also enhances precision in evaluating structural components within building foundation planning.
Analisis Kandungan Logam Berat Timbal (Pb) dan Tembaga (Cu) pada Anadara Granosa di Perairan Dusun Selangan Kota Bontang Fatmy Yaumil Akhir Jafar; Fitri Noerhidayanti; Fitriyana Fitriyana; Iwan Suyatna
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i4.894

Abstract

This study examines the impact of industrial activities in Bontang City, a major center for natural gas processing and fertilizer production, which potentially increases heavy metal contamination in coastal waters. Specifically, the research focuses on the accumulation of lead (Pb) and copper (Cu) in Anadara granosa, a benthic bivalve selected as a bioindicator due to its capacity to accumulate pollutants. The study aims to analyze Pb and Cu concentrations in Anadara granosa tissues collected from the waters of Selangan Hamlet, Bontang City, as an indicator of local environmental quality. The research was conducted over a six-month period, involving shellfish and water sampling from four observation stations. Heavy metal analysis was performed using Atomic Absorption Spectrophotometry, and the results were evaluated against relevant environmental quality standards, including Government Regulation of the Republic of Indonesia Number 22 of 2021. The findings revealed the presence of Pb and Cu at all sampling stations, with varying concentrations. The highest Pb and Cu levels were recorded at the South Station, while the lowest concentrations were observed at the East and North Stations. Overall, the measured concentrations of both metals significantly exceeded established safety limits, indicating serious risks to aquatic ecosystems and human health. These results confirm Anadara granosa as an effective bioindicator of heavy metal pollution and highlight the urgent need for further studies and mitigation efforts.

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