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Mathematical representative ability is a person's ability to express mathematical ideas, objects, and relationships in various forms of representation, both visually, symbolically, verbally, and contextually. This study aims to analyze the mathematical representative ability of students through counting operations in grade III elementary school in the form of story problems. The method used was descriptive qualitative research with written test instruments to assess cognitive abilities and observation to assess psychomotor skills. The research subjects consisted of five grade III elementary school students, by giving test questions on mathematical reasoning skills, observing students directly in solving and understanding story problems, conducting documentation to obtain accurate data when in the field by classifying students' mathematical representative abilities based on math scores. The results showed that most learners had a very good level of cognitive ability in completing arithmetic operations, but there were some learners who were still lacking in understanding story problems. This finding confirms that the importance of appropriate learning strategies so that learners are not only able to solve problems in the form of operations but also able to understand problems in the form of story problems that are applied in real life.

Environmental education plays a crucial role in modern curricula, emphasizing sustainability and ecological responsibility to address global challenges. This study compares faith-based and secular environmental education strategies, focusing on how theological reflection and ecological consciousness are integrated into teaching frameworks. Faith-based schools, particularly those rooted in Christianity and Islam, incorporate ecological ethics within religious teachings, framing environmental stewardship as a moral and spiritual duty. In contrast, secular models prioritize scientific literacy and environmental problem-solving. The study reveals that faith-based models promote both scientific understanding and moral engagement with environmental issues through religious values like Imago Dei (in Christian schools) and khalifah (in Islamic schools). These values instill a sense of moral accountability, motivating students to act sustainably. The research also highlights how curriculum design, teacher involvement, and experiential learning contribute to the effectiveness of both models in fostering ecological responsibility. By comparing these approaches, the study proposes an integrative eco-theological pedagogical framework that combines the strengths of both methods to promote long-term commitment to sustainability. The findings have implications for educational policy, curriculum development, and teacher training, especially in pluralistic school settings where diverse perspectives must be considered. Integrating ecological ethics into education can cultivate a generation committed to sustainability and ethical responsibility.

Problem-based learning (PBL) is a student-centered instructional strategy that begins with authentic problems as the starting point for learning. This approach encourages students to actively identify, analyze, and solve problems through a systematic and collaborative scientific thinking process. By integrating real-life situations relevant to students’ experiences, PBL not only enhances critical thinking skills but also develops problem-solving abilities, communication, and teamwork. The implementation of problem-based learning among secondary school students demonstrates a significant improvement in critical thinking compared to conventional, more passive teaching methods. Furthermore, this learning strategy fosters independent and creative learning attitudes and helps students connect theoretical knowledge with practical applications in their environment. Therefore, problem-based learning serves as an effective approach to prepare students for the complex and rapidly changing challenges of the 21st century.    

Inquiry learning strategy is an educational approach that places students at the center of the learning process by encouraging them to actively seek, discover, and conclude knowledge through questioning, observing, and critically analyzing. In this strategy, students are not passive recipients of information from the teacher but are directly involved in learning activities that demand critical and analytical thinking skills. Through inquiry learning, students develop critical thinking abilities by engaging in stages such as problem formulation, hypothesis development, data collection, and drawing conclusions based on observations and analysis. This approach has been proven effective in enhancing students’ critical thinking skills as it promotes active and independent participation in learning, while also boosting motivation and self-confidence. The teacher acts as a facilitator who guides and motivates students to sharpen their critical thinking skills in solving problems systematically and logically. Thus, inquiry learning strategy not only enriches students’ understanding of the subject matter but also equips them with essential thinking skills to face future life and learning challenges.

This study aims to comprehensively examine the influence of the Problem-Based Learning (PBL) model integrated with the Internet of Things (IoT) on enhancing students’ problem-solving abilities in physics education. The integration of IoT into PBL is seen as a progressive approach to address the growing demand for innovative instructional strategies that promote higher-order thinking skills. A quantitative approach was adopted, utilizing a quasi-experimental design with a pretest-posttest nonequivalent control group format to assess the effectiveness of the intervention. The participants were 25 undergraduate physics students from the University of West Sulawesi, selected through saturated sampling due to the limited population size. To evaluate students’ problem-solving skills, data were collected using structured written tests designed around five key indicators: understanding the problem, describing the problem, planning the solution, executing the solution, and evaluating the results. Prior to hypothesis testing, normality of the data was assessed using the Kolmogorov-Smirnov test, followed by paired sample t-tests with IBM SPSS Statistics 23 to determine the significance of differences in pretest and posttest scores. The findings revealed a statistically significant improvement in students’ problem-solving skills following the implementation of the IoT-based PBL model, with results showing significance at the 5% level and gain scores classified as effective. These outcomes demonstrate the potential of the PBL-IoT integration to foster critical thinking and improve educational quality. Therefore, the implementation of this instructional model is recommended for physics educators seeking to enhance student engagement, problem-solving proficiency, and learning outcomes through the integration of emerging technologies.    

This study aims to explore the factors that affect the effectiveness of Problem-Based Learning (PBL) in improving student learning outcomes. PBL is a learning method based on real problem solving that requires students to think critically and work collaboratively. Although PBL has been proven effective in a variety of contexts, its implementation in developing countries and in various disciplines still faces challenges. The factors tested in this study included student characteristics (such as motivation and critical thinking skills), facilitator quality, environmental support (including educational facilities, technology, and policies), and subject matter characteristics. Through a literature analysis and case studies in several educational institutions, this study found that the effectiveness of PBL is highly dependent on the interaction between these factors. The characteristics of active and independent students, well-trained facilitators, and adequate environmental support can promote the achievement of better learning outcomes. Meanwhile, subject matter that is relevant and in accordance with the needs of students also plays a big role in the success of the implementation of PBL. This study provides recommendations for educators and policymakers to consider these factors in designing and implementing PBL in the educational environment.  

This study aims to explore innovative learning strategies in fostering students' critical thinking skills. Critical thinking skills are increasingly essential in today’s complex and challenging era. Approaches such as Problem-Based Learning (PBL), Project-Based Learning (PjBL), as well as open discussions and debates, are capable of encouraging students to think analytically, logically, and reflectively. These strategies emphasize the active role of students in the learning process—not merely as recipients of information, but also as seekers and processors of knowledge. Teachers serve as facilitators who create a learning environment that supports exploration and problem-solving. The evaluation of critical thinking skills is conducted through instruments such as rubrics, Higher Order Thinking Skills (HOTS) questions, and analytical essay tests, which allow for an in-depth assessment of students' abilities. The findings show that innovative learning is more effective than conventional methods in developing critical thinking skills. Therefore, these strategies are worth implementing widely in the education system to prepare students to face future challenges critically, creatively, and adaptively.

This study aims to analyze the difficulties faced by elementary school students in solving multiplication problems and the strategies implemented by teachers to address them. The background of this research lies in the importance of understanding multiplication as a foundational concept for mastering more advanced mathematical operations. This research employed a descriptive qualitative approach, using interviews as the primary data collection technique. The findings revealed that students struggle with understanding multiplication as repeated addition, applying problem-solving strategies, and maintaining accuracy due to over-reliance on rote memorization without conceptual understanding. To overcome these issues, teachers implemented various strategies such as the use of interactive learning media, concrete manipulatives, game-based learning, gradual practice, and individualized guidance in collaboration with parents. These strategies have proven effective in improving students’ conceptual understanding, accuracy, and confidence in solving multiplication problems.

This study aims to determine the influence of the Project Based Learning (PjBL) learning model on students' creative thinking skills in Social Sciences (IPS) subjects at SMP Negeri 8 Gorontalo. Creative thinking skills are one of the 21st century skills that need to be developed in the learning process, especially in social studies lessons that require analysis and solving social problems. This study employed a quantitative approach utilizing primary data from questionnaires distributed to students at SMP Negeri 8 Gorontalo. The sample consisted of 30 respondents, and the data analysis was performed using simple linear regression. The analysis shows that the t-count for the project-based learning model variable is 6.060. To determine whether Ho is confirmed or rejected, the t-table was calculated at a 5% statistical significance level, resulting in a t-table of 1.701. The comparison indicates that the t-count is greater than the t-table. This leads to the rejection of Ho, implying a significant effect of the project-based learning model on students' creative thinking skills.

Reading literacy skills are essential for all teachers, including mathematics teachers. Reading literacy is not only about the ability to comprehend texts but also plays a crucial role in supporting critical thinking, analytical reasoning, and problem-solving in the learning process. Acknowledging its importance, the author conducted a community service activity in the form of a training program aimed at strengthening reading literacy skills among junior high school mathematics teachers in Moa District. The training was held on Thursday, October 17, 2024, at the PSDKU Hall of Pattimura University, Southwest Maluku Regency Campus. A total of 17 junior high school mathematics teachers from Moa District participated in the activity.The training methods included the presentation of reading literacy materials in the context of mathematics learning, group discussions, and hands-on practice in analyzing and developing literacy-based math problems. The success of the training was measured using two instruments: a questionnaire assessing participants’ understanding of the material and a test measuring their reading literacy skills before and after the training. Data analysis revealed that participants generally felt they understood the material presented. Moreover, there was a noticeable improvement in their reading literacy skills following the training. These results indicate that the training was conducted effectively and achieved its intended objectives. This activity is expected to have a positive impact on improving the quality of mathematics instruction in schools by enhancing teachers' reading literacy as a key component in facilitating student learning.

This study aims to analyze the implementation of the Independent Curriculum at SDN 106813 Amplas, focusing on the implementation by lower and upper grade teachers, the obstacles faced, and the strategies used to overcome these challenges. The research method used is qualitative with a case study approach. Data were collected through interviews, observations, and documentation. The results of the study indicate that lower grade teachers use more exploration and game- based approaches, while upper grade teachers apply project- based learning and problem solving. The main obstacles in implementing this curriculum are the lack of training for teachers, limited facilities and infrastructure, and difficulties in formative assessment and differentiated learning. The strategies implemented include strengthening training, utilizing technology in learning, and collaboration between teachers, students, and parents. This study suggests further support from schools and the government in the form of intensive training and providing adequate facilities.    

This study aims to comprehensively examine the influence of the Problem-Based Learning (PBL) model integrated with the Internet of Things (IoT) on enhancing students’ problem-solving abilities in physics education. The integration of IoT into PBL is seen as a progressive approach to address the growing demand for innovative instructional strategies that promote higher-order thinking skills. A quantitative approach was adopted, utilizing a quasi-experimental design with a pretest-posttest nonequivalent control group format to assess the effectiveness of the intervention. The participants were 25 undergraduate physics students from the University of West Sulawesi, selected through saturated sampling due to the limited population size. To evaluate students’ problem-solving skills, data were collected using structured written tests designed around five key indicators: understanding the problem, describing the problem, planning the solution, executing the solution, and evaluating the results. Prior to hypothesis testing, normality of the data was assessed using the Kolmogorov-Smirnov test, followed by paired sample t-tests with IBM SPSS Statistics 23 to determine the significance of differences in pretest and posttest scores. The findings revealed a statistically significant improvement in students’ problem-solving skills following the implementation of the IoT-based PBL model, with results showing significance at the 5% level and gain scores classified as effective. These outcomes demonstrate the potential of the PBL-IoT integration to foster critical thinking and improve educational quality. Therefore, the implementation of this instructional model is recommended for physics educators seeking to enhance student engagement, problem-solving proficiency, and learning outcomes through the integration of emerging technologies.

Many students find it difficult to connect abstract mathematical concepts with real-world applications, leading to limited problem-solving and modeling skills. This study aimed to develop a real-world problem-based mathematics module designed to enhance students’ mathematical modeling abilities. Using a Research and Development (R&D) approach with the 4D model Define, Design, Develop, and Disseminate the research involved secondary school students enrolled in mathematics classes. The Define stage identified learning difficulties and needs, while the Design and Develop stages focused on creating, validating, and refining a contextual mathematics module based on expert feedback. Quantitative data were collected through expert validation sheets, mathematical modeling tests, and student response questionnaires. The results demonstrated that the developed module achieved a high level of content and design validity, confirming its appropriateness for classroom use. Student responses indicated strong practicality and engagement during implementation. The effectiveness analysis showed a 28% improvement in mathematical modeling skills after the intervention, as evidenced by increased post-test scores and positive student feedback. Compared to traditional textbook-based instruction, the module proved more effective in fostering conceptual understanding, analytical reasoning, and real-world application of mathematics. In conclusion, the developed real-world problem-based module successfully bridges the gap between theoretical mathematics and authentic contexts, providing an innovative framework to cultivate modeling competence and critical thinking among students.

This study explores the implementation of Computational Thinking (CT) in physics learning to enhance students' analytical and logical reasoning. Using an experimental approach with a problem-solving model, the research involved students enrolled in physics courses, divided into experimental and control groups. The experimental group engaged in simulation-based and algorithmic problem-solving tasks, while the control group received conventional instruction. The research focused on assessing improvements in logical reasoning through pre- and post-tests. Data analysis was conducted quantitatively, comparing the pre-test and post-test results of both groups. Findings revealed that the experimental group showed a significant 31% improvement in logical reasoning skills, while the control group demonstrated a modest 5.8% improvement. This indicates that CT-based activities, such as simulations and algorithmic tasks, are more effective in enhancing students' analytical and problem-solving abilities compared to traditional methods. The study highlights the importance of integrating CT into physics education, as it promotes deeper cognitive engagement, critical thinking, and practical problem-solving skills. These findings suggest that CT strategies can be a powerful tool in improving students' reasoning abilities and better preparing them for complex scientific and real-world challenges.

Learning that is still dominated by teacher-centered approaches tends to result in passive student participation and low learning outcomes. This study aims to compare the effectiveness of the Socio-Scientific Problem-Based Learning (SSPBL) model and the Stimulus Environment Problem Solving (SEPS) model in improving student learning outcomes in the Ecology course. The research employed a quasi-experimental design involving two groups of fourth-semester Biology Education students at Universitas Muhammadiyah Surakarta in the even semester of the 2023/2024 academic year. Each group consisted of 20 students; one was taught using the SSPBL model, and the other using the SEPS model. Data were analyzed using the independent sample t-test and effect size analysis.The results showed that the SSPBL group achieved significantly higher cognitive learning outcomes than the SEPS group in both Cycle I (sig. = 0.041) and Cycle II (sig. = 0.049). The effect size results further confirmed the high effectiveness of the SSPBL model, with values of 2.846 (Cycle I) and 3.413 (Cycle II), categorized as "high." These findings indicate that the SSPBL model is more effective in improving learning outcomes, particularly in developing higher-order thinking skills through the integration of scientific concepts and socio-scientific issues. This study recommends the implementation of the SSPBL model in science education to foster deeper conceptual understanding and critical thinking among students.

One of the 21st century thinking skills is creative thinking skills. Students as prospective educators are required to learn and develop self-actualization in solving problems scientifically. This study aims to determine the effectiveness of Remap STAD learning models towards the empowerment of students' creative thinking skills. This research is a quasy experimental study and uses a Non equivalent pretest-posttest control group design. The population is all students of class XI IPA SMAN 4 Malang, totaling 234 students. A sample of 102 students was selected based on the equality test to determine the experimental class, positive control, and negative control. The instrument used used essay tests in accordance with indicators of creative thinking skills and the results were analyzed using the one-way anacova test. The results showed that the Remap STAD learning model effectively empowers students' creative thinking skills. The implication of the research conducted is to train students to think metaphorically to produce unique ideas or concepts as a form of achieving creative thinking skills. It is recommended that educators integrate the Remap STAD model in biology learning to foster student engagement and stimulate higher-order thinking processes necessary for solving contextual problems in daily life.

This study explores strategies to address students' difficulties in understanding and solving mathematical word problems involving long division in elementary schools. These difficulties can stem from internal factors, such as a lack of conceptual understanding, low motivation, and inaccuracy in solving problems, as well as external factors, such as ineffective teaching methods and minimal use of instructional media. Using the Systematic Literature Review (SLR) method, this research examines previous studies that discuss the causes of learning difficulties and possible solutions. The findings indicate that a contextual approach based on Realistic Mathematics Education (RME) and the use of concrete teaching aids can significantly enhance students' comprehension of long division. This approach helps students connect learning with real-life experiences and visualize mathematical concepts more clearly. Therefore, innovative instructional strategies are essential to improve elementary school students' understanding and numerical skills.

This study aims to analyze the application of the Problem-Based Learning (PBL) learning model in improving students' cognitive learning outcomes in science learning, especially in the material on the structure and function of plant tissues. The research was conducted at SMP Negeri 4 Satap Wori, with the research subjects in the form of 21 grade VIII students who had heterogeneous learning abilities. This study uses a class action research (PTK) approach in two cycles. In the first cycle, student learning outcomes showed that only 38.1% of students had completed, while 61.9% had not reached the Minimum Completeness Criteria (KKM). Based on the reflection of the first cycle, improvements were made in the second cycle by increasing student involvement, providing more motivation, and forming heterogeneous learning groups. The results in the second cycle showed a significant increase, with 85.7% of students achieving learning completeness in accordance with the KKM. The increase in learning completeness from the first cycle to the second cycle was 47.6%. This study concludes that the PBL model effectively improves students' critical thinking skills, creativity, and motivation and can help students solve problems independently and in groups. Therefore, applying the PBL model is recommended to continue to be used in learning that involves real-world problem-solving.

The teaching of Social Studies in elementary schools still faces challenges in improving students' understanding, primarily due to the dominance of expository methods that lack variety. This study aims to analyze various innovative learning strategies that can enhance students' comprehension in Social Studies education. The research employs a library research method with a qualitative approach, drawing on various references and previous research findings.The results indicate that contextual learning strategies, project-based learning (PjBL), technology integration, cooperative learning, and multi-representation learning are effective in improving students' understanding. Contextual learning enhances students' comprehension by up to 32%, while PjBL improves critical thinking and problem-solving skills. Technology integration, such as augmented reality and interactive digital media, has been shown to increase learning motivation by up to 43%. Cooperative learning and multi-representation strategies also positively impact social skills and conceptual understanding.The novelty of this study lies in its comprehensive mapping of innovative, evidence-based learning strategies applicable to Social Studies education in elementary schools. The implications of this research highlight the importance of innovation in teaching strategies to ensure that students do not merely receive information passively but can actively apply their knowledge in real-life situations. Additionally, the study underscores the need for teachers to enhance their competencies in implementing more interactive and student-centered teaching methods.

This study aims to explore the optimization of pedagogical competence of Christian Religious Education (PAK) teachers in the application of problem-based learning (PBM) methods at SMP Negeri 4 Pagaran, North Tapanuli Regency. Teachers' pedagogical competence has a crucial role in designing and implementing effective learning processes, especially in the context of implementing PBM methods that aim to improve students' critical thinking and problem-solving skills. This study uses a qualitative research method with a library approach from book and journal theories to explore information on how PAK teachers implement their pedagogical competence in PBM. The results of the study indicate that PAK teachers at SMP Negeri 4 Pagaran have optimized their pedagogical competence in adapting the PBM method by focusing on the characteristics of student development which is carried out with a more personal approach. This study concludes that increasing training and development of pedagogical competence for PAK teachers through the application of PBM methods is very effective in improving the quality of learning at SMP Negeri 4 Pagaran.