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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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Analisis Mikrobiologi Bekasam Ikan Gabus (Channa striata) Identifikasi Bakteri Asam Laktat dan Potensinya sebagai Probiotik Tassa Tassa; Ardi Mustakim
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.v3i3.716

Abstract

Bekasam is a traditional fermented food made from snakehead fish (Channa striata) through spontaneous fermentation with the addition of salt and rice over several days. This fermentation process promotes the growth of indigenous microorganisms, particularly lactic acid bacteria (LAB), which play a crucial role in developing distinctive flavors and potentially providing health benefits. LAB are well-known for their probiotic effects, such as maintaining gut microbiota balance and enhancing immune system function. This study aimed to identify the presence of LAB in bekasam using the Gram staining method. Samples were taken from bekasam that had been fermented for three days. Bacterial isolation was conducted by culturing the samples on appropriate media, followed by Gram staining to observe bacterial morphology and cell wall characteristics under a microscope. Observations revealed a predominance of Gram-positive, rod-shaped (bacillus) bacteria, which are the primary morphological characteristics of LAB. This morphology is consistent with bacterial groups such as Lactobacillus spp., which are commonly found in traditional fermented products. These findings strengthen the assumption that snakehead fish–based bekasam is not only a traditional food source with rich flavors but also has potential as a natural probiotic source. This potential opens opportunities for bekasam to be developed as a functional food that supports digestive health and immune function. Further research is recommended to perform molecular identification to accurately determine bacterial species and to evaluate their probiotic activity in vivo. Thus, bekasam holds not only cultural and culinary value but also added value in the field of health and the functional food industry.
Analisis Mikrobiologis Tentang Analisis Mikrobiologis dan Karaketristik Bakteri Asam Laktat Fermentatif Pada Ikan Bekasam Tradisional Melalui Pewarnaan Gram dan Uji Mikroskopis Zaskia Rahmawati; Ardi Mustakim
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.v3i3.717

Abstract

Bekasam is a traditional fermented fish product commonly produced in South Sumatra and South Kalimantan, known for its distinctive sour taste resulting from the metabolic activity of lactic acid bacteria (LAB). LAB play a crucial role in the fermentation process, contributing to the product’s flavor, texture, and safety. This study aimed to isolate, identify, and characterize LAB from bekasam made using tilapia (Oreochromis niloticus). Isolation of bacterial strains was performed using the pour plate method on Nutrient Agar (NA) medium at various serial dilutions to obtain discrete colonies. The colonies were observed macroscopically to assess their morphological characteristics, including shape, size, color, surface texture, and edge profile. Further identification involved Gram staining to determine cell wall type and microscopic morphology. The results revealed that the bacterial colonies were generally small, round, white to cream in color, with smooth surfaces and flat edges. Gram staining demonstrated that the dominant isolates were Gram-positive bacteria, exhibiting rod-shaped or oval morphology. These characteristics are consistent with members of the genus Lactobacillus sp., a common LAB group in fermented fish products. Additional phenotypic traits observed included catalase-negative reactions, absence of spore formation, and the ability to produce lactic acid as the main metabolic end product. The combination of morphological, staining, and basic biochemical characteristics supports the initial identification of the isolates as LAB. The presence of Lactobacillus sp. in bekasam suggests their significant contribution to the fermentation process, influencing the product’s sourness, safety, and preservation. The findings of this study provide a basis for further molecular characterization and potential selection of LAB strains as starter cultures to improve the quality, consistency, and safety of bekasam in traditional and industrial production.
Matematika Diskrit Teori Graf Pada LRT dalam Mengatasi Kemacetan : Studi Literatur Katharina Stefania Ade Jaro; Khopipah Khopipah; Napis Napis
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.v3i3.726

Abstract

Traffic congestion in Jakarta has become a serious problem, affecting various aspects of life, such as time efficiency, environmental quality, and economic productivity. As one solution to overcome this problem, the Jakarta government is developing a mass public transportation system, including the Light Rail Transit (LRT). The LRT is expected to reduce congestion by providing a more efficient and environmentally friendly transportation alternative. In the process of planning and optimizing the LRT system, discrete mathematics, particularly graph theory, plays a very important role. Graph theory is used to model the LRT station network and track, with vertices representing stations and edges representing connecting lines between stations. With this model, various analyses can be performed to optimize the LRT line, such as finding the shortest path between two stations or evaluating the connectivity between existing stations. The use of graph theory allows the identification of more efficient routes, resulting in faster travel and reduced passenger waiting times. In addition, graph theory also plays a role in optimizing the LRT route by minimizing the number of transfers between stations or avoiding passenger congestion at certain stations. With proper route and network optimization, the LRT can make a significant contribution to reducing traffic congestion in Jakarta. Furthermore, the development of an efficient public transportation system also supports improved air quality and reduces reliance on private vehicles. Overall, the application of graph theory in LRT system planning is a strategic step towards creating more efficient and sustainable transportation in large cities like Jakarta. Beyond route optimization, graph theory is also very useful in analyzing route capacity and passenger distribution along the LRT system.
Identifikasi Bakteri pada Produk Keripik Kelapa Bulian (Cocos Nucifera L.) dengan Metode Kultur dan Pewarnaan Gram Lulu Wafiq Wafizo; Ardi Mustakim
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.v3i3.735

Abstract

Bulian coconut chips are a typical Jambi food made from dried and fried old coconuts. The traditional production method and inadequate hygiene standards make this product susceptible to microbial contamination, especially harmful bacteria. This study aims to identify the types of bacteria that may be present in Bulian coconut chips using culture and Gram staining methods as the initial step for morphological identification. Samples were taken from three local producers in Bulian District, Batanghari Regency, Jambi. Testing was carried out by serial dilutions up to 10⁻⁴, then planted on Nutrient Agar (NA) media and incubated for 24 hours at 37°C. The colonies that grew were then observed morphologically and Gram staining was performed using a modified method without alcohol. The results showed the presence of various colonies with cream, white, and pale yellow colors. Based on the results of Gram staining, bacilli and cocci were found, which were included in the Gram-positive and Gram-negative categories. The types of bacteria suspected to appear include Bacillus sp., Staphylococcus sp., and possibly Escherichia coli. These findings indicate a risk of microbial contamination that could endanger consumer health, especially if the production process is not improved. Strict hygiene and sanitation principles are strongly recommended in the processing of this traditional food to ensure the product remains safe for consumption. The importance of implementing hygienic standards in the production of Bulian coconut chips is further emphasized by these findings. In addition to improving food safety, implementing proper sanitation procedures can also extend the product's shelf life and increase consumer confidence in local traditional foods. Efforts such as training local producers, using clean equipment, and hygienic packaging can help minimize the risk of bacterial contamination.
Isolasi dan Karakterisasi Bakteri Asam Laktat pada Tempoyak sebagai Fermentasi Tradisional Khas Jambi Tata Anggraini; Ardi Mustakim
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.v3i3.736

Abstract

Tempoyak is a traditional fermented product derived from the flesh of durian fruit (Durio zibethinus) that has undergone a spontaneous fermentation process. This product is very popular in various regions in Indonesia, especially in Sumatra and Kalimantan, and is usually consumed as a cooking spice or side dish. The fermentation process primarily involves the activity of lactic acid bacteria (LAB), a group of microorganisms capable of converting acidic sugars into lactate. LAB plays an important role in forming the distinctive taste of tempoyak, lowering pH, inhibiting the growth of pathogenic microbes, and potentially providing health benefits for consumers. This study aims to isolate and characterize LAB from tempoyak using a microbiological approach. Tempoyak samples were taken from traditional markets, then isolated using MRS agar measurement media. Characterization was carried out through observation of colony morphology, Gram staining, and biochemical tests such as catalase and fermentation of various types of sugars (glucose, sucrose, and maltose). The isolation results showed that all isolates had the typical LAB characteristics, namely Gram-positive, catalase-negative, and rod- and coccus-shaped. The different sugar fermentation abilities indicate species diversity, with the suspected dominant genera being Lactobacillus, Streptococcus, Enterococcus, and Lactococcus. Furthermore, several isolates demonstrated antibacterial activity against Escherichia coli, indicating the potential use of LAB from tempoyak as a probiotic or natural preservative in the food industry. The decrease in pH from 6.2 to 3.6 during the fermentation process also confirmed the metabolic activity of LAB in acid-producing lactate. These findings open up opportunities for utilizing local LAB from tempoyak as functional agents in the development of safe, healthy, and economically valuable fermented food products. Thus, tempoyak not only has cultural value but also has significant scientific and commercial potential.
Penerapan Metode Numerik dalam Penyelesaian Persamaan Diferensial Tsuwaibatul Aslamiyah Lubis
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 1 (2025): Maret : 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.v3i1.421

Abstract

This research discusses the application of numerical methods in solving differential equations that often appear in various fields of science, such as physics, engineering and economics. The methods used include the Euler method, the Runge-Kutta method, and the finite difference method. The research results show that the fourth order Runge-Kutta method provides a higher level of accuracy than the Euler method in solving first order differential equations. In addition, the finite difference approach provides stable solutions to partial differential equations. This study confirms the importance of numerical methods in the analysis and solving of complex mathematical problems.
Pengembangan Media Pembelajaran Interaktif Berbasis Kontekstual : Literature Review untuk Meningkatkan Penguasaan Konsep Laju Reaksi dan Karakter Siswa SMA Faiga Olifia Dg. Mangawe; Masrid Pikoli; Erni Mohamad; Lukman A.R. Laliyo; Erga Kurniawati
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 1 (2025): Maret : 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.v3i1.423

Abstract

This research focuses on the development of contextual-based interactive learning media to improve mastery of reaction rate concepts and develop the character of high school students in remote areas. This learning media was developed to provide learning experiences that are relevant to everyday life, therefore the concepts of reaction rate are simpler to understand and apply in students. In addition, this contextual approach also aims to encourage character development, such as responsibility, discipline, creativity, curiosity, and communicativeness during the learning process. A literature review was conducted to gather articles relevant to this topic, with a published time frame of 2018 - 2025. The review shows that this media significantly helps students in understanding the concept of learning material, critical thinking, as well as strengthening positive character aspects that support learning success. This research concludes that contextual-based interactive learning can be an efficient option in the science learning process in high school.
Analisis Kemampuan Berpikir Kritis Siswa Kelas 5 SD dalam Soal Cerita Penjumlahan dan Pengurangan. Nurcholis Nurcholis; Feri Faila Sufa
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 1 (2025): Maret : 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.v3i1.428

Abstract

The objectives of the study are (1) to determine the critical thinking skills of 5th grade students of SD Negeri 03 Jumapolo, Karanganyar. (2) to determine the factors underlying the critical thinking skills of 5th grade students of SD Negeri 03 Jumapolo, Karanganyar. This study used qualitative research that lasted for 2 weeks. Data collection techniques in this study used observation, interviews, and documentation. The results of this study indicate that (1) the critical thinking skills of 5th grade students of SD Negeri 03 Jumapolo, Karanganyar in solving story problems on addition and subtraction material do not fully have critical thinking skills because there is one aspect that has not been fulfilled, namely not being able to conclude addition and subtraction material through story problems. (2) The factors that influence critical thinking skills in 5th grade students of SD Negeri 03 Jumapolo, Karanganyar are 2 factors, namely psychological factors and physiological factors.
Pengaruh Model Pembelajaran Contextual Teaching and Lerning (CTL) Materi Laju reaksi: Literature Review terhadap Kemampuan Berfikir Kritis dan Karakter Siswa Muh. Arwin; Masrid Pikoli; Mangara Sihaloho; Wiwin Rewini Kunusa; Julhim S. tangio; Haris Munandar
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 1 (2025): Maret : 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.v3i1.442

Abstract

This study focuses on the effect of applying the Contextual Teaching and Learning (CTL) model in the topic of reaction rate on the ability to think critically and the formation of character values of students in geographically remote areas (remote areas). This approach is designed to strengthen learners' understanding of scientific concepts in a relevant and contextual manner, by connecting them to the dynamics of real life - both in the personal, social and cultural domains. Thus, learners have the opportunity to build conceptual insights and adaptive skills independently. In addition, this real situation-based method contributes to fostering character values such as responsibility, discipline, innovation, curiosity, as well as social interaction skills and effective communication during the learning process. The literature review was conducted by collecting scientific publications released between 2018 and 2025. The findings of this review confirmed that the CTL approach has a real positive impact in honing critical thinking skills and fostering learners' character that supports their academic achievement. Therefore, it can be concluded that CTL is an efficient and relevant pedagogical method to be applied in teaching high school chemistry.
Penerapan Strategi Pembelajaran Inkuiri untuk Meningkatkan Hasil Belajar Peserta Didik pada Materi Keanekaragaman Hayati di Kelas X SMA Negeri 2 Tondano Christin Natalia Tutainon; Anatje Lihiang; Femmy R. Kawuwung
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 1 (2025): Maret : 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.v3i1.454

Abstract

This research aims to improve students' learning outcomes on biodiversity materials by applying inquiry learning strategies in class X-A SMA Negeri 2 Tondano. This research was carried out in two cycles, each with three meetings. In the first cycle, the student's learning outcomes showed classical completeness only reached 50%, with an average score of 75.6. This is due to students' lack of active participation in passive learning. Based on the reflection results, improvements were made in the second cycle by emphasizing increasing students' activeness in asking, answering, and discussing. The results in the second cycle showed a significant improvement, with an average score of 86.6 and classical completeness reaching 90%. This improvement shows that inquiry learning strategies effectively improve student learning outcomes. Although two students had not achieved completeness, the remedial provided succeeded in helping them achieve results on par with other students. This research proves that inquiry-based learning can increase students' involvement in learning and improve their learning outcomes. Therefore, it is recommended that inquiry learning strategies be applied more widely in other classes to improve the quality of education.

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