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This study was conducted to analyze the relationship between students’ critical thinking skills and mathematical problem-solving abilities through a literature review approach. The study is based on the importance of mastering higher-order thinking skills in the mathematics learning process, particularly when students are faced with complex problems related to real-life situations. The method used in this research was a literature review by examining various relevant scientific journals and academic books published between 2021 and 2026. The data analysis process was carried out through stages of identification, classification, evaluation, and synthesis of the collected sources. The findings revealed a significant and positive relationship between critical thinking skills and students’ mathematical problem-solving abilities. Critical thinking skills play an important role in helping students understand problems, process and analyze information, select appropriate solution strategies, and systematically review the results obtained. Students with strong critical thinking skills generally demonstrate more optimal mathematical problem-solving abilities. In addition, the implementation of learning models such as Problem-Based Learning and contextual approaches has been considered effective in improving both abilities. Therefore, critical thinking skills are regarded as an essential aspect that needs to be developed in mathematics learning in order to enhance students’ mathematical problem-solving abilities.

This study aims to analyze various research results related to the application of context-based mathematics learning in improving students' mathematical literacy. Mathematical literacy is an important skill that enables students to understand, use, and apply mathematical concepts and reasoning in solving various problems related to real life. This study uses a qualitative approach with a literature review method. Research data was obtained through a review of various scientific articles relevant to the research topic. The analysis process was carried out in several stages, namely identification of literature sources, selection of articles based on topic suitability, and synthesis of published research findings. The results of the study show that integrating everyday contexts into mathematics learning can improve students' conceptual understanding, mathematical reasoning abilities, and problem-solving skills. Learning that links mathematical material to real-life situations can also help students understand concepts more meaningfully and encourage active engagement in the learning process. The findings of this study provide an overview that the application of mathematics learning based on everyday life contexts can be an effective strategy in improving students' mathematical literacy. Therefore, teachers need to design learning that links mathematical concepts to real-life situations so that students' mathematical literacy skills can develop optimally.

This study aims to analyze in depth the effectiveness of Realistic Mathematics Education (RME) and ethnomathematics in improving students’ mathematical abilities through a Systematic Literature Review (SLR) approach. This study is motivated by the low level of students’ conceptual understanding, mathematical literacy, and mathematical communication skills, which are still dominated by conventional teaching approaches. Data were collected from ten research articles relevant to the topics of RME and ethnomathematics. The analyzed articles employed various research methods, including experimental research, classroom action research, and research and development (R&D). The results of the review indicate that the implementation of RME is consistently effective in enhancing students’ mathematical abilities, such as critical thinking, problem-solving, mathematical communication, and mathematical literacy. The RME approach, which is based on real-life contexts, helps students understand mathematical concepts more deeply and meaningfully. In addition, the integration of culture through ethnomathematics strengthens the effectiveness of learning by providing contexts that are closely related to students’ daily lives, thereby increasing motivation, engagement, and active participation in the learning process.Furthermore, the findings reveal that the success of culture-based RME is influenced by instructional design, the selection of appropriate contexts, and the teacher’s role in managing the learning process. Therefore, culture-based RME can be considered an effective and relevant approach to improving the quality of mathematics education.

This study aims to analyze students’ mathematical reasoning abilities in quadratic function material through the use of Desmos. The research employed a qualitative descriptive approach using a case study and usability testing method. Data were collected through post-tests and interviews involving students’ responses in solving quadratic function problems. The analysis focused on several indicators of mathematical reasoning, including procedural skills, conceptual understanding, and analytical ability. The results show that students generally demonstrate adequate procedural reasoning, particularly in substitution and computation tasks. They are also able to relate algebraic representations to geometric interpretations, such as determining intercept points and analyzing the direction of parabolas. However, limitations were found in conceptual understanding, especially in identifying graph characteristics without relying on procedural steps. The use of Desmos significantly supports the development of students’ mathematical reasoning by providing real-time visualization, facilitating exploration of function parameters, and enabling verification of results. Overall, Desmos contributes to enhancing procedural, conceptual, and analytical dimensions of mathematical reasoning, although its effectiveness depends on proper instructional design.