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This study aims to analyze the effectiveness of the STEM approach and the scientific approach in learning Trigonometry in terms of students’ mathematical problem-solving ability and self-efficacy. The research employed a quasi-experimental method with a nonequivalent comparison group design. The study population consisted of all Grade X MIPA students at MA Al-Ma’had An-Nur in the 2023/2024 academic year, with the sample taken from classes X MIPA 1 and X MIPA 2. Data collection instruments included pre-test and post-test assessments of mathematical problem-solving ability and a student self-efficacy questionnaire. Effectiveness criteria were based on post-test averages exceeding 75 for problem-solving ability and self-efficacy scores above 72, as well as improvements from pre-test results. Data were analyzed using the t-test at a 5% significance level to determine learning effectiveness in both groups. Differences in students’ initial conditions and treatment effects were examined using Hotelling’s T² and the N-Gain score test. An independent-sample t-test of N-Gain was used to compare the superiority between the two approaches. The results indicated that both the STEM and scientific approaches were effective in improving students’ mathematical problem-solving ability and self-efficacy. The STEM approach significantly influenced both variables and was superior in enhancing problem-solving ability, although not superior in improving students’ self-efficacy.

The development of information and communication technology has driven digital transformation across various sectors, including local governments adopting the Smart Regency concept. Digital literacy plays a vital role in supporting the success of Smart Regency implementation, as it determines citizens’ ability to access, understand, and utilize technology effectively and safely. This study aims to measure the digital literacy level of Sleman Regency residents and analyze its contribution to Smart Regency development. The research employs a survey method by distributing questionnaires to residents in several areas of Sleman. The instrument was designed based on four dimensions of digital literacy: technological ability, digital security, problem-solving, and online communication and collaboration. Data were analyzed using descriptive quantitative techniques to illustrate digital literacy levels based on demographic factors and technology usage intensity. The results indicate that most Sleman residents possess a moderate level of digital literacy, with notable variations in digital security and online collaboration aspects. These findings provide implications for local governments to strengthen digital education programs and expand technology access as part of an inclusive and sustainable Smart Regency development strategy.

This study aims to identify and analyze effective learning strategies for improving Qur’an reading and writing skills among elementary school students. The ability to read and write the Qur’an serves as an essential foundation for students’ spiritual, moral, and cognitive development, shaping their Islamic character from an early age. This research employs a descriptive approach using a literature study method that reviews various sources, including books, journals, and previous studies related to Qur’an learning at the elementary school level. The findings indicate that a combination of several innovative strategies proves to be highly effective in enhancing Qur’an literacy skills. These strategies include the use of engaging and interactive digital learning media, the application of contextual learning approaches that connect Qur’anic teachings to students’ daily lives, and the implementation of the Problem-Based Learning model to foster critical thinking and problem-solving skills. Furthermore, strengthening students’ intrinsic motivation through a supportive and religious learning environment plays a crucial role in maintaining learning interest and discipline. The integrated implementation of these strategies not only improves students’ technical ability to read and write the Qur’an but also reinforces their character, responsibility, and spiritual awareness in the context of Islamic education at the elementary level.

Critical thinking is an essential skill in the modern era, characterized by rapid changes in the workplace and the dynamics of daily life. In a time when information is readily accessible and challenges are increasingly complex, individuals are required not only to master technical skills (hard skills), but also to possess the ability to analyze, evaluate, and critically respond to information. These skills are the foundation for making informed, wise, and adaptive decisions. Case studies from various recent news outlets in Indonesia show that many young people, especially Gen Z, still face difficulties entering the workforce due to a lack of soft skills and mental preparedness. This phenomenon is evident in increasing reports of unpreparedness for work pressure, poor communication skills, and a lack of problem-solving skills. Through an analysis of the literature and news reports, this article explores the relationship between critical thinking skills and the real-world challenges faced by Gen Z. Furthermore, it offers practical recommendations for developing critical thinking capacity so that young people can better adapt, improve professional performance, and respond to various issues in daily life more maturely and responsibly.  

This study aims to determine the effect of the application of PQ4R (Preview, Question, Read, Reflect, Recite, Review) learning strategies on the mathematical problem-solving ability and confidence of students at SMAN 1 Sembakung, Nunukan Regency. The background of this research is the low ability of students to solve mathematical problem-solving problems and their lack of confidence in facing academic challenges. The PQ4R strategy was chosen because it is considered to be able to encourage active student engagement, build deep understanding, and strengthen confidence through structured learning steps. This study uses a quantitative method with a quasi-experimental design of the pretest-posttest control group design. The research sample consisted of 73 students in grade XI who were divided into experimental and control groups at random. The research instruments include problem-solving ability tests and confidence questionnaires. The data analysis technique used t-test and MANOVA (Hotelling's Trace) after meeting the normality and homogeneity tests. The results showed that PQ4R learning strategies had a significant effect on students' mathematical problem-solving skills and confidence. The experimental group experienced a higher score increase than the control group. Thus, the PQ4R strategy can be an effective learning alternative to improve the quality of mathematics learning as well as students' affective aspects such as confidence.

This study aims to analyze the influence of the Problem-Based Learning (PBL) model assisted by e-LKPD on students’ problem-solving abilities and self-confidence in vocational high schools. Specifically, the objectives are: (1) to examine the simultaneous effect of the PBL model assisted by e-LKPD on both variables, (2) to determine its effect on problem-solving ability, and (3) to evaluate its effect on self-confidence. A quantitative approach with a quasi-experimental pretest–posttest control group design was applied. The population consisted of all 10th-grade students at SMK Negeri 1 Tarakan, while the sample was selected using purposive sampling, resulting in class X Marketing 1 (35 students) as the experimental group and class X Culinary 2 (34 students) as the control group. Research instruments included a problem-solving test and a self-confidence questionnaire. Hypothesis testing utilized Hotelling’s T² and independent sample t-tests. The findings showed that 97% of students in the experimental class met the Learning Objectives Mastery (KKTP), compared to only 18% in the control group. Improvement in the experimental group was categorized as high, whereas in the control group it was moderate. Self-confidence also increased significantly in the experimental group, with most students moving from low to high categories. Hotelling’s Trace (Fcount = 77.109, p < 0.001) and t-tests confirmed significant effects on both problem-solving (tcount = 11.657) and self-confidence (tcount = 8.140), proving that the PBL model assisted by e-LKPD effectively enhances students’ abilities and confidence.

This study investigates the algebraic reasoning processes of university students when expanding mathematical expressions in the context of nonroutine problem-solving. The research adopts a qualitative approach to explore how students interpret algebraic structures, apply symbolic transformations, and construct logical explanations while working through unfamiliar tasks. Data were collected through written tests, task-based interviews, and detailed analysis of students’ solution strategies. The findings reveal significant variation in students’ ability to generalize patterns, recognize structural relationships, and justify algebraic procedures. Students with strong conceptual understanding demonstrated flexible reasoning, coherent explanations, and appropriate use of algebraic properties. In contrast, students who relied heavily on procedural rules often struggled with symbolic manipulation, produced fragmented reasoning, and exhibited misconceptions related to variables and distributive operations. These results highlight the importance of fostering conceptual understanding, metacognitive awareness, and reasoning-oriented instruction in university mathematics. The study provides insights for educators seeking to design learning environments that promote deeper algebraic thinking and enhance students’ ability to solve complex, nonroutine problems.

In the modern computing era, servers face significant challenges in data storage due to hardware failures, cyber attacks, or human errors. The problem highlighted focuses on the impact of file systems on three critical aspects: data integrity (accuracy and consistency of data without corruption), data recovery (the ability to restore data after a failure), and failure resilience (fault tolerance, such as redundancy and journaling to prevent downtime). The main issue is that traditional file systems like FAT32 or NTFS are often susceptible to fragmentation, metadata loss, or long recovery times, which can lead to data loss of up to 20-30% on enterprise servers, especially in high-traffic environments like cloud computing.A simple problem-solving process is conducted through a straightforward comparative analysis approach: (1) A literature review of popular file systems (ext4, ZFS, Btrfs); (2) Failure simulations using tools like fsck and stress testing on virtual servers (e.g., via KVM or Docker); and (3) Measuring performance metrics with benchmarking tools like Bonnie++ for I/O throughput, recovery time, and error rates. This process is designed to be simple, requiring only a virtual lab setup without expensive hardware, and is analyzed quantitatively with descriptive statistics.The solution to the problem indicates that advanced file systems like ZFS or Btrfs provide significant improvements: data integrity is up to 95% more secure through automatic checksums, data recovery is achieved in minutes through snapshots and RAID integration, and failure resilience is higher with copy-on-write features. The main recommendation is to migrate to journaling-based file systems for servers, combined with automated backups, which can reduce the risk of downtime by up to 50%. This research provides practical guidance for system administrators to enhance server reliability without excessive additional costs.

The use of technological resources, especially the internet, has a very important role in supporting the effectiveness of the implementation of the flipped classroom model. Through internet access, students can prepare before face-to-face learning by watching learning videos, reading materials, or doing exercises independently. This allows the classroom teaching and learning process to be more interactive, where face-to-face time can be focused on discussion, problem-solving, and application of concepts. Based on survey data collected from students of SMK Dewata Bali Denpasar, it is known that optimal use of the internet helps increase students' understanding and interest in learning science subjects. However, as time went by, it was found that some of the material was still difficult for students to understand and remember. Therefore, educators need to choose the learning platform that is most effective in supporting the implementation of this model. Using the ELECTRE (Elimination and Choice Expressing Reality) method, this study assessed various platforms such as features, price, ease of use, and user survey results. The results show that Google Classroom is the most suitable and efficient platform to support reverse learning because of its ability to integrate various learning media, ease of access, and support for interaction between teachers and students.

This study aims to determine the effect of the combined learning model of Problem Solving with Numbered Head Together (NHT) on the character of mutual cooperation and critical reasoning abilities of fourth-grade students of SD Negeri Kanigoro 03. This type of research uses a quantitative approach with a Posttest Only Non-Equivalent Control Group Design. The research subjects consisted of two classes, namely class IV A as the experimental group and class IV B as the control group, each consisting of 23 students. The research instruments included an observation sheet of mutual cooperation character and a critical reasoning ability test. Data analysis was carried out through normality, homogeneity, and t-test using SPSS with a significance level of 5%. The results showed that the data were normally distributed and homogeneous. The t-test produced a calculated t value of 2.940 > t table 2.015 with a significance of 0.019 for the character of mutual cooperation and a calculated t value of 2.343 > t table 2.015 with a significance of 0.024 for critical reasoning abilities. These results demonstrate that the combined Problem Solving and NHT models significantly enhance students' mutual cooperation and critical reasoning skills. Therefore, implementing this model effectively develops students' cognitive competencies and character, aligned with the Pancasila student profile.

The problem addressed in this community service project is the low understanding of PKBM Permata Paket B students in applying mathematics to everyday life. The objective of this study is to improve students' understanding of mathematics through context-based learning, as well as to stimulate their interest and independence in solving problems involving numbers. The method used is a contextual teaching approach involving group discussions, problem-solving exercises, and real-life problem applications. The results show that context-based mathematics learning significantly improved students' understanding of budgeting, expenses, and personal finance management. Students also showed increased active participation in learning activities and a better ability to connect mathematical theory with practical problems in their daily lives. This program also had a positive impact on social empowerment, increasing students' independence in managing their daily lives. However, challenges related to understanding more complex concepts remain, and it is recommended to use more varied methods and extend the learning time in the future.

This study aims to determine the differences in problem-solving and critical thinking skills between students taught using the Reciprocal Teaching and Problem-Based Learning models in class X of SMK Ki Hajar Dewantara Kotapinang for the 2021-2022 academic year. This is a quantitative study using a quasi-experimental design. The population consists of all class X students at SMK Ki Hajar Dewantara Kotapinang in the 2021-2022 academic year, totaling 111 students. The sample used was class X AKUNTANSI 1 and X AKUNTANSI 2, each consisting of 20 students, chosen as experimental classes using Cluster Random Sampling. Data were collected from pre-tests and post-tests with problem-solving and critical thinking skill test items, then analyzed descriptively and followed by Two-Way ANOVA. The findings indicate: 1) There is no difference in problem-solving ability between students taught using the Reciprocal Teaching model and the Problem-Based Learning model in class X of SMK Ki Hajar Dewantara Kotapinang, with F_observed = 0.320 < F_table(α= 0.05) = 3.978; 2) There is a difference in critical thinking skills between students taught using the Reciprocal Teaching model and the Problem-Based Learning model in class X of SMK Ki Hajar Dewantara Kotapinang, with F_observed = 5.128 > F_table(α= 0.05) = 3.978; 3) There is a difference in both problem-solving and critical thinking skills between students taught using the Reciprocal Teaching model and the Problem-Based Learning model in class X of SMK Ki Hajar Dewantara Kotapinang, with F_observed = 0.026 > F_table(α= 0.05) = 3.936; 4) There is no interaction between the Reciprocal Teaching and Problem-Based Learning models in class X of SMK Ki Hajar Dewantara Kotapinang, with F_observed = 0.459 < F_table(α= 0.05) = 3.936.

This study investigates the use of experimental statistical analysis as an instructional approach to enhance students’ understanding of variable relationships in science learning. Many students tend to memorize experimental results without comprehending the underlying relationships between variables, resulting in limited analytical reasoning and superficial understanding. To address this issue, the present study explores how integrating basic statistical tools-such as mean, correlation, and regression-into experimental activities can strengthen conceptual comprehension, analytical reasoning, and scientific literacy. Grounded in constructivist and inquiry-based learning frameworks, the research emphasizes active engagement, where students participate in data collection, analysis, and interpretation to draw evidence-based conclusions. The study employed a quasi-experimental design involving science students divided into experimental and control groups. Both groups conducted similar laboratory experiments, but only the experimental group received explicit instruction in statistical analysis. Data were collected through pre-tests and post-tests to measure changes in students’ understanding of variable relationships. The results indicated a 25% improvement in the experimental group’s comprehension and reasoning ability compared to the control group. Students who applied statistical analysis demonstrated greater proficiency in interpreting data, identifying causal patterns, and connecting theoretical knowledge to experimental findings. In contrast, students taught through traditional narrative-based instruction showed minimal gains and relied heavily on memorization. The findings highlight the effectiveness of integrating statistical reasoning in promoting critical thinking, problem-solving, and scientific reasoning skills.

This study was motivated by the need to improve the quality of Islamic Religious Education (IRE) learning so that it does not only focus on delivering material but also encourages students to actively build understanding through higher-order thinking processes. Traditional teacher-centered learning tends to limit students' analytical, evaluative, and creative abilities. Therefore, this study aims to analyze the use of Active Learning in IRE and its relationship with the development of Higher Order Thinking Skills (HOTS). The method used was library research with a Systematic Literature Review (SLR) approach, which involved identifying, selecting, and synthesizing various relevant literature from the last ten years. The results of the study showed that Active Learning was implemented through various strategies such as problem-based learning, project-based learning, think-pair-share, the use of digital technology, and collaborative discussions. These strategies shift the focus of learning from the teacher to the students so that they can construct knowledge through dialogue, reflection, and problem solving. The findings also show that this approach has a direct influence on the development of HOTS, especially the ability to analyze religious issues, evaluate arguments based on arguments, and create contextual solutions in learning situations. In addition to improving cognitive abilities, Active Learning has an impact on increasing learning motivation, courage to ask questions, active involvement, and the quality of students' social interactions. The implications of this study confirm that PAI learning needs to integrate Active Learning strategies.

This study aims to determine the significant influence of mathematical resilience on students' mathematical problem-solving ability, as well as measure the magnitude of this influence. The approach used is quantitative with an ex post facto (comparative causal) design, where variables have occurred before the study was conducted. The research population included all grade XII students at MAS Miftahussalam Medan, with a sample of 33 students selected through simple random sampling techniques. The research instrument consisted of a questionnaire to measure mathematical resilience and a test to measure mathematical problem-solving ability. The validity and reliability of the instruments were tested through preliminary trials. Data analysis was carried out through a prerequisite test (normality and linearity), followed by a simple linear regression test, t-test, and determination coefficient. The results of the analysis showed a regression equation Y = 16.803 + 0.273X, with a value of t_hitung = 3.784 > t_tabel = 2.039 at a significance level of 5%, so that H₀ was rejected and H₁ was accepted. The determination coefficient of 0.316 showed that mathematical resilience contributed 31.6% to students' mathematical problem-solving ability, while 68.4% was influenced by other factors. These findings confirm the importance of strengthening mathematical resilience in an effort to improve students' problem-solving skills more effectively.

This research was conducted on fourth-grade students of SD Negeri 01 Dagen Karanganyar with the aim of identifying the improvement of critical thinking skills in IPAS learning by applying the Cooperative Learning Model of the Teams Games Tournament (TGT) type during the 2024/2025 academic year. The study involved 25 students, consisting of 16 male students and 9 female students. This research belongs to quantitative research with a One-Group Pre-Test Post-Test Design. The research procedure began with administering a tryout test to determine the number of valid items to be used. The validity test results showed that 20 items met the validity criteria during the tryout. Data analysis was conducted using the One-Sample Shapiro-Wilk test for normality and the Paired Sample T-Test for hypothesis testing. Based on the analysis, the results showed a significance value of < 0.000 with a significance probability of < 0.05. Therefore, the findings are consistent with the hypothesis, namely: “There is an effect of using the Teams Games Tournament (TGT) Learning Model in IPAS learning on the critical thinking skills of fourth-grade students at SD Negeri 01 Dagen Karanganyar in the 2024/2025 academic year.” This indicates that the TGT model can enhance students’ ability to think critically, helping them develop essential skills in problem-solving, analysis, and decision-making, which are crucial for their academic success and future learning processes.

This study aims to examine the application of the Project Based Learning (PjBL) model assisted by animated videos in improving problem-solving skills in Natural and Social Sciences (IPAS) subjects. The study used a quasi-experimental approach with a one-group pretest and posttest design. The subjects were 30 fifth-grade elementary school students selected as samples. The research instruments included a problem-solving ability test and an observation sheet for the implementation of learning. The results showed a significant increase in students' problem-solving skills after being treated through the PjBL model assisted by animated videos. The average posttest score was higher than the pretest, so it can be concluded that this learning strategy is effective in improving student learning outcomes. The use of animated videos helped students to visualize abstract concepts and engage more actively in the learning process. In addition, the results of observations of the implementation of learning showed that students became more active, enthusiastic, and able to work together in groups to complete the project. Student activity increased gradually, starting from the project planning stage, information collection, to the presentation of results. The teacher acted as a facilitator who provided direction and guidance, while students were directly involved in each process. This indicates that the integration of technology-based media supports collaborative and student-centered learning. Therefore, the implementation of the Project-Based Learning model with animated videos is not only effective in improving problem-solving skills but also fosters overall student engagement in science learning. Therefore, this learning model can be recommended as an innovative strategy to enhance problem-solving skills in primary education.

This study investigates the influence of transformational leadership on teacher performance in disadvantaged regions, with a specific focus on SMP Satu Atap Werdi in Pekalongan Regency. Schools located in remote and underdeveloped areas often face structural challenges such as limited resources, inadequate infrastructure, and geographical isolation, which significantly hinder the delivery of quality education. In this context, the role of school principals becomes critical in shaping organizational culture and motivating educators to maintain high performance despite the constraints. The research employed a qualitative descriptive approach, using participant observation, in-depth interviews, and document analysis to gather rich and comprehensive data from the principal and teachers as key informants. Findings indicate that even though SMP Satu Atap Werdi operates in an area with severely limited facilities, the transformational leadership style adopted by the principal has successfully brought about meaningful improvements in school management and teacher performance. The leadership was manifested through four main dimensions: idealized influence, demonstrated by strong role modelling and exemplary behaviour; inspirational motivation, reflected in the principal’s ability to encourage teachers to remain committed and enthusiastic; intellectual stimulation, which fostered creativity, innovation, and problem-solving among teachers; and individualized consideration, shown through personal guidance and support tailored to each teacher’s needs. These practices led to visible progress in teacher discipline, professional dedication, and organizational commitment. The study underscores the importance of transformational leadership as a catalyst for positive organizational change in education, particularly under challenging circumstances. The findings align with previous literature highlighting its effectiveness in motivating subordinates and enhancing performance. From a practical standpoint, this research suggests the need for policymakers and education stakeholders to strengthen transformational leadership practices in schools across disadvantaged regions as a strategy to achieve equitable educational quality in Indonesia.

This study aims to describe students' critical thinking skills in solving social arithmetic problems based on the Polya stages and FRISCO indicators. The research subjects consisted of three students in grade VIII R-5 MTs Nurul Jadid who were purposively selected to represent the high, medium, and low ability categories out of a total of 21 students. The research method used was a descriptive qualitative approach with instruments in the form of two social arithmetic description questions and semi-structured interview guidelines. Data analysis was carried out by referring to the four stages of problem solving according to Polya (understanding the problem, planning the solution, executing the plan, and re-examination) as well as the six FRISCO critical thinking indicators (Focus, Reason, Inference, Situation, Clarity, Overview). The results of the study showed that students with high abilities were able to solve problems systematically through all stages of Polya and met almost all FRISCO indicators, especially in the aspects of Focus, Reason, and Clarity. Students with moderate ability show sufficient understanding but are inconsistent in planning and implementing solutions, and experience difficulties in the Reason, Situation, and Overview indicators. Students with low abilities experience obstacles from the early stages of understanding problems and do not show significant indicators of critical thinking. These findings indicate that the Polya stage and the FRISCO indicator can be used in a complementary manner to identify and analyze students' critical thinking skills in solving contextual math problems. The implication of this study is the need for a learning strategy that emphasizes strengthening the stages of problem solving and developing explicit critical thinking indicators in the mathematics learning process. This research also opens up opportunities for the development of more structured diagnostic instruments in measuring students' individual critical thinking skills.

This study aims to describe the understanding of high school students in solving high, medium, and low category HOTS (Higher Order Thinking Skills) problems and to explore the students' responses in solving problems related to the material of SPLTV (System of Linear Equations with Three Variables). This research is qualitative in nature, using a descriptive method. The subject selection technique used purposive sampling, involving three students from class X IPA/IPS SMAIT Nurul Fajri, with a total of 19 students. The data collection techniques included written tests on mathematical concept understanding using HOTS, interviews, and documentation. Based on the research results, it was found that the students' understanding of mathematical concepts in solving HOTS problems varied. The subject NF-17, with high ability, was able to answer well, including restating the concepts studied in problems 1, 2, and 4, classifying objects based on concepts, applying concepts algorithmically, relating various mathematical concepts internally or externally, providing examples or counterexamples, and presenting concepts in various representations in problems 1, 3, and 4. The subject NF-18, with medium ability, showed more limited results. Although able to restate concepts in problem 4, this subject could only classify objects based on concepts and apply concepts algorithmically in problems 1 and 4. This subject could only provide examples or counterexamples in problem 1. The subject NF-10, with low ability, was only able to restate concepts studied in problem 1 and did not show more in-depth understanding in other problems. These findings indicate variations in students' understanding of mathematical concepts in the SPLTV material.