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Graph theory as a branch of discrete mathematics has experienced significant development in its application to modern complex network systems, particularly in digital social networks and transportation systems. This research aims to analyze fundamental concepts of graph theory, examine characteristics of cycle detection algorithms along with their computational complexity, investigate their application in digital social network analysis, and explore their implementation in digital transportation system optimization. The research method employs a qualitative approach with library research focusing on scientific literature from 2020-2025 period from accredited academic databases such as Scopus, Web of Science, and IEEE Xplore, utilizing thematic analysis techniques to identify meaningful patterns from the examined literature. Research findings indicate that fundamental graph theory concepts including vertices, edges, and graph classifications form the foundation for relational structure modeling. Cycle detection algorithms such as Depth-First Search, Union-Find, and Tarjan demonstrate effectiveness with O(V+E) complexity for large-scale graphs. Applications in digital social networks facilitate community identification through Multi-View Clustering, centrality analysis for influencer detection, and understanding viral information dissemination patterns. Implementation in digital transportation systems demonstrates route planning optimization using Dijkstra and Bellman-Ford algorithms, vulnerability analysis through articulation point and bridge identification, and bottleneck detection with betweenness centrality. The research concludes that integration of graph theory in discrete mathematics education enhances critical thinking skills and real-world application understanding, with recommendations for algorithm development for massive dynamic graphs and machine learning integration in graph algorithm optimization.

Information security is an essential aspect of digital communication, particularly in the exchange of text-based messages through open networks. Messages transmitted without protection are vulnerable to interception and unauthorized modification. One classical cryptographic technique that remains relevant as a foundational learning tool is the Caesar Cipher algorithm. This study aims to implement the Caesar Cipher algorithm for message encryption and decryption and to analyze its effectiveness and security level. The research method employed is a descriptive approach through literature review and a case study by applying character-shift techniques to text messages. The results indicate that the Caesar Cipher algorithm successfully transforms plaintext into ciphertext and restores it back to its original form through the decryption process. Although the algorithm is simple and easy to implement, it has significant limitations in terms of security due to its small key space and vulnerability to brute-force attacks. Therefore, Caesar Cipher is not suitable for protecting sensitive data but remains valuable as an introductory model for understanding basic cryptographic concepts.

Science lessons in primary school significantly contribute to the early development of logical, scientific and systematic reasoning skills.   However, learning science can be challenging, especially when it comes to understanding abstract concepts and cause-and-effect interactions.   This is due to the fact that, as per Piaget's theory, primary school students are still in the concrete operational stage and have limited cognitive growth. Data regarding abstraction ability and causal reasoning in the context of science education were collected from various scientific sources using the literature review research methodology.  According to the research findings, STEAM integration, project-based learning strategies such as Project Based Learning (PBL), and the use of real and visual aids can help lower learning barriers. Successful learning is also influenced by the teacher's role as facilitator, which involves presenting the material in a relevant and contextualized way and fostering a positive learning environment. Real-world examples and exceptional examples, such as the use of worksheets based on cause-and-effect relationships and basic experiments, demonstrate how useful these strategies are for improving abstract thinking and understanding of cause-and-effect relationships. Developing innovative teaching methods based on practical, exploratory and integrative experiments is essential for maximizing the scientific understanding of primary school students.

The Frankfurt School represents one of the most influential traditions of critical thought in the development of twentieth-century social theory and philosophy. This article aims to examine the impact of Frankfurt School thought particularly the ideas of key figures such as Max Horkheimer, Theodor W. Adorno, Herbert Marcuse, and Jürgen Habermas and to analyze the relevance of their ideas within contemporary social contexts. Using a qualitative approach through an extensive literature review, this study examines key concepts such as critical theory, instrumental rationality, and the culture industry, as well as their implications for power relations, advanced capitalism, mass media, and modern democracy. The findings demonstrate that the Frankfurt School’s critique of instrumental rationality and cultural commodification remains highly relevant for understanding contemporary social problems, including digital media dominance, consumerism, and the crisis of the public sphere. This article argues that Frankfurt School thought continues to provide an essential analytical framework for critically engaging with the contradictions of modern and postmodern societies in the era of globalization and digital technology.

This study aims to analyze the relevance of Jürgen Habermas's thought in understanding the phenomenon of modern spirituality and the social dynamics of Generation Z in the digital era. Using a qualitative research method with a philosophical-analytical approach, this study examines Habermas's central concepts such as communicative action, the public sphere, the lifeworld, and discourse ethics. The results indicate that modern spirituality, which is personal and fluid, serves as a form of cultural resistance against the colonization of the lifeworld by the instrumental rationality of economic and bureaucratic systems. Meanwhile, Generation Z faces significant challenges within a digital public sphere that is often distorted by algorithms, polarization, and misinformation, which hinders the establishment of rational and deliberative communication. The study concludes that Habermas's theory provides a crucial normative framework for revitalizing healthy dialogue, constructing emancipatory digital ethics, and assisting Generation Z in restoring the depth of life's meaning amidst the pressures of the modern system.

This community service activity aims to socialize the development of Human Resource (HR) competencies in the Fashion Design Department at SMK Al Ihsan to face the transformation of the fashion industry based on digital technology. The main challenge faced is the gap (mismatch) between the school curriculum, which still focuses on conventional production techniques, and the needs of an industry that is now digital and automated. The method used in this activity is a participatory and educational approach that includes four stages: needs observation, delivery of theoretical material (lecturing), focused group discussions (FGD) accompanied by application demonstrations, and evaluation. The results of the activity show an increase in participants' understanding of concepts such as eco-fashion, the creative economy, as well as the introduction of digital technologies like 3D design applications (CLO3D) and digital pattern making. Through the integration of four competency pillars hard skills, soft skills, digital skills, and entrepreneurial skills it is expected that graduate profiles can transform from operational seamstresses into competitive fashionpreneurs in the global market. The conclusion of this activity emphasizes that the Link and Match strategy and mastery of technological literacy are key to effectively reducing the skills gap of students in the Industry 4.0 era.

This study aims to determine the effect of implementing the Problem-Based Learning (PBL) model on student learning outcomes in the Ignition System competency at SMKN 1 Katapang. The background of this study stems from the low understanding of students regarding the ignition system material due to the dominant use of the Teacher-Centered Learning (TCL) model, which tends to make students passive and only memorize concepts without understanding the overall working process. PBL is considered more relevant because it emphasizes real problem-solving, critical thinking, collaboration, and analysis according to constructivist theory. The method used is a quasi-experiment with a Nonequivalent Control Group Design. The research subjects consist of two classes of 11th-grade Light Vehicle Engineering students: an experimental group using the PBL model and a control group using TCL, with a total population of 70 students. Data collection was done through pretests and posttests using a validated multiple-choice objective test instrument. Data analysis includes comparing the learning outcome improvements of both groups to determine the effectiveness of PBL. The results show a more significant improvement in learning outcomes in the class using the PBL model compared to the TCL class. This proves that the implementation of PBL is effective in improving analysis skills and diagnostic skills in the ignition system. Therefore, PBL is recommended as a more suitable teaching model for practice-based subjects in vocational schools, especially in automotive electrical competencies.

The rapid development of digital technology highlights the importance of introducing computational thinking skills from an early age, including at the elementary school level. One effective approach to introducing basic programming concepts is through block-based coding learning media that are visual, interactive, and engaging. This community service activity aimed to improve elementary school students’ understanding and interest in basic coding through hands-on training using block-based coding media. The program was implemented with sixth-grade students at Yayasan Kemala Bhayangkari 1 Medan. The activity employed a hands-on training approach consisting of several stages, including an introduction to basic coding concepts, familiarization with the Blockly Games interface, and practical exercises involving puzzle and maze challenges designed to develop logical thinking, sequencing, and problem-solving skills. The evaluation was conducted through direct observation of student participation and assessment of students’ ability to complete the given challenges. The results demonstrated that the use of Blockly Games effectively increased students’ enthusiasm, active engagement, and understanding of basic programming logic. Students who initially perceived programming as difficult showed greater interest and confidence due to the colorful, visual block-based instructions that were easy to understand and enjoyable. This community service activity is expected to serve as an effective introductory model for coding education and to support the development of digital literacy among elementary school students.

Film as a cultural text never exists independently but is always connected to previous texts that form a network of meanings. The phenomenon of film remakes demonstrates a strong intertextual relationship, as seen in My Annoying Brother in its South Korean and Indonesian versions. This study examines the intertextual relationship between the two films and analyzes the ways the story is reworked within different social and cultural contexts. The purpose of this research is to investigate the intertextual relations between the South Korean version as the source text and the Indonesian version as the transformed text by applying the concepts of opposition, transposition, and transformation. This study employs a qualitative descriptive approach using an observation method through careful and repeated film viewing, accompanied by note-taking of important dialogues and significant scenes. The research data consist of narrative elements of the films, including plot, characters, conflict, setting, and cultural values. The findings reveal that although both films share similar narrative structures and central conflicts, the Indonesian version incorporates local cultural adaptations that generate new meanings within the context of cross-cultural film remakes.

Indonesian language learning in elementary schools, especially on figurative language, still faces various problems, such as difficult to understand material, limited learning media, and low student interest and understanding. This is also experienced by fifth-grade students of SD 1 Mlati Lor who have difficulty recognizing types of figurative language and understanding their meaning well in context. This study aims to develop an interactive flipbook media about figurative language that highlights the local wisdom of North Sulawesi and test its feasibility and practicality for semantic learning. The method used in this study is research and development (R&D) with the ADDIE model, which consists of analysis, design, development, implementation, and evaluation. The research subjects were fifth-grade students of SD Negeri 1 Mlati Lor. Data collection was carried out through interviews, observations, validation by material and media experts, questionnaires for teachers and students, and learning outcome tests. Data were analyzed using qualitative and quantitative descriptive approaches. The results of the study indicate that the interactive flipbook media inspired by the local wisdom of North Sulawesi was considered very valid by experts. Furthermore, practicality testing demonstrated that teachers and students responded in the "very practical" category, indicating that the media was easy to use and well-received in learning. The application of local cultural elements has been shown to help students understand figurative language concepts more clearly and meaningfully. Therefore, the developed flipbook can be used as an alternative Indonesian language learning medium to improve students' semantic understanding and cultural knowledge in elementary schools.

Electronics learning in higher education continues to face various challenges, particularly in the provision of interactive learning media capable of concretely and engagingly visualizing the form, characteristics, and working principles of electronic components. The limitations of conventional learning media often result in abstract learning processes, which in turn lead to a low level of student understanding of basic electronics concepts. This study aims to develop the AMPERE as an innovative and technologically relevant interactive learning medium. The research employed R&D approach using the Borg & Gall model, which includes the stages of needs analysis, design, product development, validity testing, and limited implementation. The AMPERE application was developed using marker based AR technology, in which a smartphone camera detects markers to display and interact with 3D electronic component objects in real time. The results indicate that the AMPERE application achieved a high level of validity, with a score of 0.88 from subject-matter experts and 0.84 from media experts, and was therefore deemed suitable for use as a learning medium. The small-group trial results showed a practicality level of 82.07%, while the practicality test during the implementation stage reached 85.67%. These findings demonstrate that AMPERE is effective in enhancing learning interactivity and assisting students in understanding the form, function, and working principles of electronic components through smartphone-based digital visualization. Theoretically, these results are consistent with constructivist learning theory, which emphasizes active knowledge construction through direct experience and interaction with learning objects.

This article aims to describe the teaching methods and practices of the Philosophy of Islamic Education course at STAI Darussalam. This research uses a qualitative descriptive approach with a field study method that focuses on the learning process, the competencies to be achieved, teaching methods, assignment formats, evaluation systems, and obstacles encountered during the course. Data were obtained through observation and information gathering related to the implementation of the Philosophy of Islamic Education course. The results show that the teaching of the Philosophy of Islamic Education at STAI Darussalam focuses on understanding the nature of Islamic education, developing students' critical thinking patterns, improving educational literacy, and linking philosophical studies to social and political realities. The lecture method remains the dominant method used by lecturers, with an emphasis on students' ability to define and explain basic philosophical concepts accurately as an indicator of understanding. Learning success is measured by changes in students' thinking, which becomes increasingly critical, reflective, and contextual in responding to educational issues and social justice issues.

The integration of Augmented Reality (AR) technology into higher education has emerged as a promising approach to enhance collaborative learning experiences. This study aims to design and evaluate an AR multimedia framework that facilitates real time interaction and spatial visualization, creating immersive and engaging learning environments for students. The AR framework was developed with a focus on improving student engagement, collaboration, and learning outcomes through interactive 3D models and real time feedback. By leveraging AR technology, the study sought to address common challenges in traditional learning environments, such as limited student interaction and engagement, and lack of real time feedback. The experimental evaluation involved two student groups: one using the AR-based system and the other using conventional multimedia tools. Findings revealed that students using the AR framework showed significant improvements in engagement, interaction frequency, and collaborative task performance. Additionally, the AR framework contributed to better learning outcomes, including enhanced comprehension, retention of complex concepts, and improved problem-solving skills. The study also highlighted the importance of incorporating a user-centered design approach in developing AR applications to ensure that the system meets the needs and preferences of learners. Qualitative feedback from students indicated that the AR system provided an enriched learning experience, although challenges such as interface navigation were noted. Overall, the study demonstrates the effectiveness of AR in fostering collaborative learning and offers practical insights for its integration into higher education curricula. Future research should explore the integration of AR with other immersive technologies to further enhance collaborative learning experiences.

Women micro, small, and medium enterprises (MSMEs) play a strategic role in strengthening both family and community economies; however, they experience to obtain fundamental skill in financial management. One of the main problems is the mixing of personal and business finances, which turn into challenges for entrepreneurs to monitor business performance and to address access financing. This community service activity aims to improve insight of women entrepreneurs in Medan regarding the importance of separating personal and business finances through simple, practice-based training. The activity was conducted in 7 November 2025 in Medan and was attended by 150 women MSME participants from a local entrepreneurship community. The training was held for one day using interactive lectures, group discussions, and hands-on cash recording exercises. The results showed a significant improvement in participants’ understanding of financial separation concepts and their ability to record business transactions. A total of 85% of participants were able to create a simple cash record format and expressed a commitment to applying separate financial practices. This activity contributed to improving the financial literacy of women micro-entrepreneurs and strengthening their managerial capacity toward sustainable business growth.

The development of digital marketing has become a strategic factor in the growth of creative culinary businesses, particularly for micro, small, and medium enterprises facing increasing competition and changes in consumer behavior in the digital era. The use of digital platforms, such as social media and online marketplaces, enables business owners to expand market reach, enhance customer interaction, and optimize promotional strategies more efficiently. Nevertheless, various studies indicate that the implementation of digital marketing has not always produced optimal outcomes due to limitations in digital literacy, human resource capacity, and organizational adaptability. This study aims to systematically examine the role of digital marketing in the development of creative culinary businesses through a Systematic Literature Review approach. The review maps key concepts, research trends, and empirical findings related to digital marketing and organizational learning within the context of creative culinary enterprises. In addition, this study identifies existing research gaps and formulates recommendations for future research issues. The findings are expected to provide theoretical contributions in the form of comprehensive conceptual mapping as well as practical contributions for business practitioners, MSME facilitators, and policymakers in designing adaptive and sustainable digital marketing strategies.

This study aims to determine the effectiveness of the Problem Based Learning (PBL) model integrated with Canva in improving students’ reflective thinking skills in the Aqidah Akhlaq subject at MTsN 3 Tuban. Reflective thinking is an essential competency that enables students to analyze moral behavior, evaluate decision-making processes, and connect Islamic ethical concepts with real-life experiences. However, preliminary observations indicated that students’ reflective thinking skills were still low and tended to remain at the level of theoretical understanding without deeper analysis. This research employed a pre-experimental design using a one-group pretest–posttest model. The subjects consisted of 30 eighth-grade students. The research instrument was a reflective thinking test developed based on indicators of moral evaluation, situation analysis, and experiential reflection, which had been validated through expert judgment. The learning process was conducted by applying the stages of Problem Based Learning integrated with Canva as a visual media to organize problem-solving steps and present students’ reflective outputs. Data were analyzed using descriptive statistics and a paired samples t-test. The findings showed a significant improvement in students’ reflective thinking skills after participating in PBL learning supported by Canva. Pretest scores ranged from 48 to 71 with an average of 59.67, while posttest scores increased to a range of 60 to 89 with an average of 71.20. The mean gain of 11.53 points was statistically significant as indicated by the t-test results (t = 10.39; sig. = 0.000), further supported by Cohen’s d value of 1.90, which falls into the category of a very large effect size. Qualitatively, students demonstrated enhanced abilities in identifying core problems, analyzing alternative actions, evaluating their cognitive processes, and visualizing moral reflections systematically through Canva. In conclusion, the PBL model integrated with Canva is effective in improving students’ reflective thinking skills in the Aqidah Akhlaq subject. This model not only enhances academic outcomes but also strengthens character development, creativity, and higher-order thinking skills, which are essential for 21st-century learning.

Technology-based learning media have now become a primary choice in supporting the learning process in elementary schools, in line with the development of the digital era and the growing demand for more innovative learning approaches. The utilization of technology in education is expected to enhance the quality of teaching and learning processes and encourage active student engagement. One technology-based learning medium considered effective and engaging is BrainPOP, a digital learning platform that presents educational content through interactive animated videos, quizzes, simulations, and various supporting activities designed to suit the characteristics of elementary school students. The selection of BrainPOP is based on its advantages in increasing students’ learning interest, facilitating the understanding of abstract concepts by making them more concrete, and enhancing students’ motivation and retention of learning materials. The visual, communicative, and interactive presentation of content enables students to learn in a more enjoyable and less monotonous manner. This medium is capable of creating an engaging, effective, and student-centered learning atmosphere, thereby fostering an active, creative, and enjoyable learning environment. Therefore, the use of BrainPOP in the learning process is expected not only to improve students’ learning outcomes but also to optimally and sustainably develop their interest, motivation, and engagement in learning.

This research examines the disproportionate allocation of legal responsibility between doctors and nurses in Indonesia’s health care system and proposes measures to reorganize accountability in a more fair and proportional way. The issue addressed stems from shortcomings in existing regulations, which have not yet ensured legal certainty or balanced legal protection for both professions in clinical practice. The study uses a normative juridical method, applying both statutory and conceptual approaches. The statutory approach reviews laws and regulations that govern professional authority and legal liability of doctors and nurses, while the conceptual approach analyzes legal principles, doctrines, and concepts related to professional responsibility in health services. Legal materials are collected through library research, including primary, secondary, and tertiary legal sources, and are analyzed using qualitative descriptive methods. The results show that although statutory provisions formally regulate the distribution of authority and responsibility between doctors and nurses, there are still normative uncertainties, overlapping regulations, and legal gaps. These issues may lead to an unequal burden of legal responsibility, particularly in cases involving medical errors or negligence. Such conditions weaken legal protection for nurses and can negatively affect the quality of health care delivery. The study concludes that regulatory reform is needed to clarify legal responsibility in accordance with professional authority and to implement a more just and proportional system of accountability. The findings are expected to enrich health law studies and provide guidance for policymakers in developing a fairer legal responsibility framework for health professionals.  

This community service activity aims to enhance students’ literacy through the application of ecoprint as an environmentally based creative learning medium at MAT Daarut Tahfidz Al-Ikhlas Banda Aceh. This program was motivated by the limited utilization of practice-based art activities as a means of strengthening students’ literacy. The implementation method employed a participatory-educative approach consisting of material socialization, ecoprint technique demonstrations, group-based hands-on practice, reflective discussions, and activity evaluation. The results indicate that students were able to understand the concepts and stages of ecoprint, produce works with various natural motifs, and demonstrate improvements in visual literacy and creativity. In addition, the activity increased students’ awareness of the use of natural materials and the importance of environmental friendly practices. Group-based activities also encouraged the development of social literacy through collaboration and communication among participants. Therefore, ecoprint can be considered an effective and contextual alternative learning medium to support the enhancement of students’ literacy in the school environment and has the potential to be sustainably developed.

This community service activity was conducted at SMK Ganesha Tama Boyolali with the main objective of disseminating knowledge and practical tips on entrepreneurship and starting a business among vocational high school students. The activity aimed to provide students with an understanding of basic entrepreneurial concepts, initial steps in establishing a small business, and key factors that influence entrepreneurial success. This program was based on the importance of preparing vocational students not only to become skilled workers but also to develop the readiness to act as independent entrepreneurs. Several problems were identified prior to the activity, including students’ limited knowledge about how to start a business, fear of taking entrepreneurial risks, and low motivation to pursue entrepreneurship at an early stage. The method used in this program was mentoring through a socialization approach, supported by interactive discussions and question-and-answer sessions. The results showed a significant improvement in students’ understanding of entrepreneurship concepts and their ability to develop feasible business ideas. Most students successfully created simple business plans aligned with community needs, such as technical services, design and drawing services, planning consultancy, and mock-up services. In addition, the activity positively influenced students’ attitudes and mindset by increasing their self-confidence in presenting business ideas before their peers. Overall, this outreach program effectively fostered entrepreneurial spirit, motivation, and readiness among students at SMK Ganesha Tama Boyolali to pursue independent business opportunities after graduation.