Publication Search

This study aims to analyze junior high school students’ mathematical reasoning abilities in terms of their levels of learning independence. The research employed a descriptive qualitative approach involving three ninth-grade students from UPT SMP Negeri 5 Gresik, each representing high, medium, and low levels of learning independence. Data were collected through a self-regulated learning questionnaire, a mathematical reasoning test based on the topic of Systems of Linear Equations in Two Variables (SPLDV), and semi-structured interviews. Data analysis followed Miles and Huberman’s interactive model, consisting of data reduction, data display, and conclusion drawing. The results revealed that students with high learning independence demonstrated strong reasoning skills across all seven indicators of mathematical reasoning (representing statements, making conjectures, performing manipulations, constructing proofs, drawing conclusions, verifying arguments, and identifying patterns). Students with medium learning independence fulfilled only some indicators, while those with low learning independence could only make simple conjectures without systematic reasoning. These findings highlight that learning independence plays a crucial role in developing mathematical reasoning, as it enables students to regulate their thinking processes, evaluate solutions, and correct errors. Teachers are encouraged to integrate learning strategies that foster self-regulation—such as the CORE and Flipped Classroom models—to enhance students’ mathematical reasoning skills.

This study is a literature review aimed at examining in depth the concepts, characteristics, learning difficulties, and applications of quadratic functions in secondary mathematics education. The research employs a qualitative approach by analyzing ten articles published between 2019 and 2025 from both national and international journals. The findings indicate that the quadratic function is a fundamental topic in the mathematics curriculum, playing a crucial role in developing higher-order mathematical thinking skills such as analysis, synthesis, and problem-solving. It also serves as a foundation for understanding more advanced topics such as calculus, analytic geometry, and optimization. However, various studies have found that students continue to face significant learning difficulties, including misconceptions related to the shape of the parabola graph, understanding the discriminant value, and connecting algebraic forms to real-world contexts. To address these issues, research suggests that technology-assisted learning—particularly through interactive software such as GeoGebra—has proven effective in enhancing conceptual understanding, motivation, and student engagement. Therefore, this review highlights the importance of strengthening conceptual understanding, applying contextual learning approaches, and integrating digital technology as innovative strategies for teaching quadratic functions at the secondary education level.

The background of this research is the richness of Indonesian culture that is very diverse from Sabang to Merauke. Education and culture are now hot topics. Mathematics, as an important subject, is often considered difficult and boring due to monotonous learning and lack of motivation. Therefore, it needs improvement by connecting mathematical materials with local culture to make it more relevant in everyday life. The purpose of this research is to determine the effectiveness of E-LKPD flat shapes on the collage of Joglo traditional houses based on ethnomathematics in the mathematics learning process of flat shapes material which is expected to enable students to love their ancestral culture. The research method used is descriptive qualitative with the type of design research. Design research consists of 3 stages, namely experimental preparation, experimental implementation, and retrospective analysis. Data collection techniques with observation, questionnaires, and documentation. The results of the study are the implementation of E-LKPD collage based on ethnomathematics of Joglo traditional houses on flat shapes material runs effectively and can foster a sense of love for ancestral culture. This conclusion was obtained based on the suitability between ALT and HLT. Furthermore, the results of this study can be the basis for the development of the next E-LKPD by utilizing other cultures that are close to the daily lives of student.

Real analysis is one of the main branches of mathematics that serves as a fundamental foundation for the development of science and technology. This study emphasizes the understanding of basic concepts such as real numbers, limits, continuity, the principle of mathematical induction, as well as deductive and axiomatic approaches as a strong framework for mathematical proofs. This research employs the Systematic Literature Review (SLR) method by examining articles and journals related to both the theoretical aspects and the implementation of real analysis in solving mathematical problems. The findings indicate that the application of Polya’s method, visualization through demonstration, and the use of modern technology such as augmented reality (AR) can enhance the effectiveness of real analysis learning. These approaches help students connect abstract concepts with real applications, thereby strengthening logical, systematic, critical, and rigorous thinking skills. However, several learning difficulties are also identified, including the complexity of the material, weak learning habits, social influences, and inappropriate teaching strategies. Therefore, more applicative, interactive, and contextual learning strategies are needed to support the achievement of learning objectives. The conclusion of this review highlights that the integration of theoretical understanding, problem-solving methods, and innovative technology is a strategic step to improve students’ thinking quality in real analysis courses. Thus, real analysis is not only positioned as a theoretical subject but also as a medium for developing problem-solving abilities and higher-order thinking skills that are relevant to both academic needs and real-world applications.

This study aims to determine the effect of using the Rotating Wheel (DaPur) learning media on the understanding of multiplication concepts of second-grade students at Tugu Utara 03 Elementary School, North Jakarta. The study was conducted in February 2025 with a quantitative approach and quasi-experimental design. The research sample consisted of 60 students divided into two classes, namely class II A as the control group and class II B as the experimental group, each consisting of 30 students. Data collection was carried out through the administration of pre-tests and post-tests. The instruments used have been tested for validity and reliability, with the results that all questions were declared valid and reliable (Cronbach's Alpha = 0.896). Data were analyzed using an independent sample t-test. The results of the analysis showed that there was a significant difference between the post-test scores of students in the experimental class and the control class, with a t-value of 27.757 and a significance of 0.001 (<0.05). This proves that the rotating wheel media has a positive and significant effect on the understanding of multiplication concepts. The Spinning Wheel media has been proven to help students understand multiplication material in a more enjoyable and concrete way, thereby improving their abilities in the aspects of translation, interpretation, and extrapolation of concepts. Based on these results, it can be concluded that the Spinning Wheel (DaPur) media is effective for use in mathematics learning, especially multiplication material.

This paper seeks to analyze the impact of the Realistic Mathematics Education (RME) approach learning approach on the development of critical thinking and problem-solving skills in third-grade pupils at SDN 104202 Bandar Setia. This research employed a quantitative method with a nonrandomized pretest-posttest control group design, involving two groups: the control group (III A) without treatment and the experimental group (III B) that received the RME learning approach, with a total sample of 50 students. Both groups were administered pre-test and post-test instruments to measure problem-solving and critical thinking skills. The findings revealed that the application of the RME learning approach significantly improved both skills with p < 0.05. These results confirm that RME is effective in enhancing mathematics learning quality through real-life contexts and students’ direct experiences. The implication highlights the importance of integrating RME in elementary mathematics learning as an alternative strategy to foster critical thinking and problem-solving abilities, as well as providing a reference for future instructional innovations.

In teaching mathematics subjects, a teacher must be competent in designing innovative learning materials so that they can develop students' potential, which is expected to affect their learning outcomes and which is one of the influencing factors in student success in mathematics lessons is learning style. This study applies a descriptive method. The purpose is to describe the form of learning difficulties experienced by grade VIII students at MTs SA Al Murtadho Kedungwaru in learning mathematics on phytagoras theorem material referring to aspects of each student's learning style. In determining a subject in a study, it is carried out using the purpose sampling technique. There are three learning styles that will be studied further in this study, namely visual, auditorial, and kinesthetic learning styles. The research subjects of six students were taken representatives from a total of 34 students, in each class two representatives will be taken for those who have a visual learning style, two students also with an auditorial learning style, and two more students with a kinesthetic learning style. The techniques used to obtain the necessary data will be distributed questionnaires, test questions, interviews with students, and documentary evidence. This study applies two ways by comparing data from observation results with interview results and will also compare a person's assessment with various points of view with other people's perspectives. The results found in the study stated that there are difficulties in students including difficulties in understanding concepts, problems, and answering questions related to the Pythagorean theorem. So teachers need to find a learning style that is suitable for each student in order to help students understand the material so that students can solve the questions given appropriately.

This study aims to analyze the learning difficulties experienced by fifth-grade students at Yayasan Al-Hidayah and identify innovative solutions in the learning process. The research uses a descriptive quantitative method with data collected through questionnaires. The results indicate that students still face challenges in understanding the material, primarily due to the fast pace of the teacher's explanations, a lack of supporting media and teaching aids, and limited learning facilities. The most difficult subjects for students to understand are Mathematics, followed by English and Science. Despite these challenges, parental involvement in supporting the learning process is relatively good, and students tend to prefer interactive learning, such as educational games, group discussions, experiments, and the use of digital media. Based on these findings, there is a need for innovation in learning, focusing on technology-based learning, the use of more varied teaching aids, and the application of creative strategies to enhance motivation, understanding, and student learning outcomes. Such innovations are expected to provide more engaging and effective learning experiences for students, addressing the difficulties they encounter in learning.

This study aims to improve student learning outcomes through the implementation of the Problem Based Learning (PBL) model assisted by PowerPoint media in Mathematics for Grade I students at SD IT Riyadhoturrohman. The research employs Classroom Action Research (CAR) conducted in two cycles. Each cycle consists of three meetings, following the stages of planning, implementation, observation, and reflection. The research subjects were 16 students from Grade I of SD IT Riyadhoturrohman. The Problem Based Learning model was chosen because it encouraged students to be actively involved in learning through solving contextual problems, while PowerPoint media was used to help visualize the mathematical concepts being taught. The results showed an improvement in students' learning outcomes from the pre-action stage to Cycle I, and a further increase in Cycle II. Additionally, students demonstrated improved participation, conceptual understanding, and teamwork skills. Thus, the implementation of the Problem Based Learning model assisted by PowerPoint media proved to be effective in improving the mathematics learning outcomes of Grade I students at SD IT Riyadhoturrohman.

This study aims to develop a junior high school mathematics e-module based on local culture at the Van der Wijck Fortress complex to enhance students’ mathematical reasoning skills and learning interest. Specifically, the objectives are: (1) to describe the characteristics of the local culture-based e-module that can improve reasoning ability and learning motivation, and (2) to produce a high-quality e-module that meets the criteria of validity, practicality, and effectiveness. The research employed the ADDIE development model (Analysis, Design, Development, Implementation, and Evaluation). The participants consisted of one teacher, 31 students in the experimental class, and 32 students in the control class at a public junior high school in Kebumen Regency. The instruments used included validation sheets for media and material, competency tests, mathematical reasoning tests, learning interest questionnaires, and practicality assessment forms for teachers and students. The results showed that the e-module possesses characteristics of being self-instructional, self-contained, stand-alone, adaptive, and user-friendly. Product validity was confirmed through expert validation with average scores of 4.26 for media and 4.35 for material (very valid). The validation of instruments obtained average scores ranging from 4.5 to 4.92, categorized as very valid. Practicality was demonstrated through teacher assessments of 92%, student assessments of 85%, and learning implementation of 94% (all very practical). Effectiveness testing using the Multivariate Hotelling’s T² test indicated significant differences between experimental and control classes in competency test scores, mathematical reasoning, and learning interest. Therefore, the local culture-based mathematics e-module is proven valid, practical, and effective in enhancing students’ mathematical reasoning and learning motivation.

This research aims to: (1) produce mathematics learning media in the form of interactive e-modules with a learning approach.realistic mathematics education (RME) which is oriented towards numerical ability and mathematical growth mindset students and describe their characteristics; (2) describe the quality of the learning e-module which meets the criteria of being valid, practical and effective so that it is suitable for use by junior high school students using the approach realistic mathematics education (RME). The development model used in this development research is the ADDIE development model (Analysis, Design, Development, Implementation, and Evaluation). The research subjects consisted of one teacher and 32 seventh grade students of SMP Negeri 3 Pajangan in Bantul Regency, Yogyakarta, who participated in this research.The results of the study show that the developed e-module has the following main characteristics: (1) using the RME approach in learning strategies; (2) facilitating the improvement of numeracy through learning videos, LKPD, and quizzes; (3) fostering growth mindset through motivational videos, inspirational sentences, discussion spaces, as well as feedback and self-evaluation features; and (4) using test- and questionnaire-based evaluation instruments. Validity tests showed very good results with an average score of 96% from media experts and 98% from material experts. The practicality of the e-module was assessed as very good by teachers (96.19%) and good by students (80.47%), and the implementation of learning reached 96.8%. Effectiveness was proven through MANOVA and t-tests which showed a significant increase in numeracy and mathematical growth mindset after using the e-module. Thus, the RME-based interactive e-module is suitable for use as an innovative mathematics learning medium at the junior high school level.

This study aims to improve the mathematics achievement of third-grade elementary school students through the implementation of the Problem-Based Learning (PBL) model within the framework of Classroom Action Research (CAR). The research was conducted at UPT SD Negeri Kutorejo 1 Tuban and involved 27 students over two instructional meetings. The study was carried out in two cycles, each comprising the stages of planning, implementation, observation, and reflection. Data collection techniques included learning outcome tests, interviews, and documentation. The data were analyzed using both quantitative and qualitative descriptive approaches. The findings indicate a notable improvement in students’ average mathematics scores, increasing from 79.47 in the first cycle to 83.91 in the second cycle. This improvement reflects the positive impact of the PBL model on students' conceptual understanding, problem-solving abilities, and active participation during the learning process. Throughout the intervention, students demonstrated increased engagement in group discussions, greater confidence in expressing ideas, and enhanced independence in addressing given problems. The PBL model proved effective in fostering active, collaborative, and meaningful learning. By presenting real-world contextual problems, the model not only enhanced students’ academic performance but also promoted the development of critical thinking, communication, and social skills. These outcomes align with 21st-century educational goals, which emphasize the cultivation of higher-order thinking skills. Theoretically, this study reinforces the effectiveness of PBL as an innovative pedagogical approach for mathematics instruction at the elementary level. It is recommended that educators systematically and consistently implement the PBL model in classroom practice. Future research is encouraged to explore the interaction between individual student characteristics and instructional models, in order to further optimize learning outcomes across various subject areas.

Quality education is the key to improving skills and knowledge for students. However, there are still many challenges faced in improving the quality of education, especially at the primary level. Collaborative Madrasah Ibtidaiyah Lecturers and Teachers in book writing can be one of the strategies to improve the quality of Education. This research aims to be active through collaboration in writing Madrasah Science Competition books between Tarbiyatut Tholabah Islamic Institute Lecturers and Madrasah Ibtidaiyah 02 Mazro'atul Ulum teachers. The results of the service showed an increase in the quality of lecturers and teachers in presenting learning and academic materials in order to provide excellent service for students, especially Madrasah Science Competition participants. And the most important thing is the creation of a collaborative book masterpiece entitled Madrasah Science Competition which contains a summary of material from science, social studies, mathematics, Arabic English and religious sciences such as Fiqh, Aqidah, Islamic Culture History and the presentation of sample questions and discussions. Moreover, the project has had a positive impact on the educators involved. It has allowed them to deepen their understanding of the subjects and improve their ability to present complex concepts in an accessible way. The collaborative nature of the project has fostered a supportive learning community, where educators learn from one another's expertise and experiences. The resulting Madrasah Science Competition book is not only a valuable educational resource but also a testament to the power of collaboration in enhancing the quality of education.

This study aims to describe the ethnomathematics activities carried out by corn farmers in Tegal Arum Village. The approach used is qualitative with an ethnographic method, with data collected through observations, in-depth interviews, and documentation from two farmers who are knowledgeable in traditional corn farming practices. The main focus of this study is to identify the application of basic mathematical concepts, such as counting, measuring, and calculating, in their daily farming activities. The results show that the farmers in Tegal Arum Village apply mathematics in a contextual form, derived from experiences and practices passed down through generations. For example, they calculate the seed requirements, estimate the number of laborers and planting time, and measure the harvest using local units like sacks and handfuls. These activities reflect the relevant application of ethnomathematics, which can be integrated into contextual mathematics learning in schools. The findings indicate that mathematics is not only taught in a formal setting in schools but also naturally develops in the community's daily life, especially through farming activities. Therefore, the results of this study are expected to serve as a reference in the development of a local culture-based curriculum that connects mathematics learning to real-life contexts.

Numeracy is an important skill that elementary school students must have, but in reality it is still relatively low because learning tends to be conventional and less contextual. Numeracy does not only include the ability to count, but also the ability to understand, use, and interpret numbers and data in various daily life contexts. One of the causes of low student numeracy is a learning approach that is less interesting and not related to real situations. This study aims to test the effectiveness of the contextual learning model (Contextual Teaching and Learning/CTL) in improving students' mathematical numeracy skills. The research design used was a one-group pretest-posttest experiment with 23 fifth-grade students of SDN 002 Teluk Bintan as subjects. The instrument in the form of a numeracy test was given before and after the implementation of CTL, then the data were analyzed using prerequisite tests (normality and homogeneity) followed by a paired sample t-test. The results showed a significant increase in students' numeracy skills. The average pretest score of 24.78 increased to 73.91 in the posttest with a significance value of 0.000 <0.05. This increase proves that CTL is effective in helping students master numeracy through a learning process that links mathematical concepts with real experiences. Thus, the contextual learning model can be an alternative learning strategy that is relevant for increasing elementary school students' numeracy, while emphasizing the importance of implementing a more applicable approach in mathematics learning.

The Children’s Reading and Learning Corner program is a community service activity implemented by Group 7 of the Community Service Program (KKN) from Universitas 17 Agustus 1945 Jakarta in Kalibaru Subdistrict, North Jakarta. This program was designed to address the challenge of low reading interest and the limited access to learning facilities among children in the local community. The main target of the activity was children aged 5–8 years, with the objective of increasing reading interest, strengthening basic cognitive skills, and fostering positive learning habits from an early age. The program was carried out through interactive learning methods with a thematic approach, combined with group discussions, question-and-answer sessions, shared reading, and simple practices that encouraged active participation. The learning materials covered Basic Mathematics, Indonesian Language, and General Knowledge, all adjusted to the children’s comprehension levels. In addition, a coloring competition was held to foster creativity, train fine motor skills, and create a fun and engaging learning atmosphere. Evaluation results indicated a significant improvement in children’s enthusiasm for learning, better understanding of the provided materials, and more active involvement during the sessions. The children also demonstrated increased self-confidence, particularly when asked to read aloud or answer questions in front of their peers. Furthermore, the provision of a bookshelf in the community hall became a strategic step to establish a sustainable reading space that could be used outside of program hours. Overall, the program successfully achieved its intended goals and is considered feasible to be expanded to other areas. Additional support in the form of a wider collection of books, more creative learning media, and consistent community involvement will be key factors in ensuring the sustainability and long-term impact of the program.

This study explores the alignment between science learning practices and children’s cognitive development stages based on Jean Piaget’s theory. Ten academic publications were systematically reviewed to examine how Piaget’s framework can be applied in science education. The findings highlight that integrating cognitive development theory is highly relevant for improving the quality of teaching and learning in schools. At the concrete operational stage (approximately 7–11 years), children learn best through direct experiences, manipulation of real objects, contextual media, and experiments that connect concepts with daily life. These methods help foster curiosity and reinforce conceptual understanding. As learners progress to the formal operational stage (around 11 years and above), they begin to think abstractly, reason logically, and analyze critically. At this level, student-centered approaches, inquiry-based methods, and constructivist learning become more effective in enhancing problem-solving, creativity, and higher-order thinking skills. The review also indicates that adapting instruction to developmental stages supports more meaningful and sustainable learning outcomes. In the Indonesian educational context, this approach can address challenges such as limited classroom facilities, diverse student learning styles, and a curriculum that is often overloaded. By applying Piaget’s insights, teachers can design learning strategies that bridge abstract concepts with concrete understanding, thus increasing student motivation and engagement. In conclusion, aligning science education with Piaget’s cognitive stages is an effective way to improve student performance and ensure long-term academic growth. The study provides valuable input for teachers, researchers, and policymakers in developing innovative, student-centered science and mathematics education.

This study aims to address the low learning process and outcomes of students in mathematics in grade IV of State Elementary School 138/II Daya Murni. The type of research used is classroom action research (CAR), which is carried out in two cycles, each consisting of planning, implementation, observation, and reflection stages. The subjects in this study were 13 students, and the implementation was carried out in the second semester of the 2025 academic year. Data were collected through observation, field notes, documentation, and learning outcome tests. Based on the results of the study, the Take and Give Type Cooperative model was proven to be able to improve the learning process and outcomes of students. In the first cycle, the involvement of educators in teaching was recorded at 66.66%, while in the second cycle it increased to 73.33%. Likewise, student involvement in the learning process increased from 46.61% in the first cycle to 69.23% in the second cycle. A significant increase was also seen in the completeness of student learning outcomes. In cycle I, the learning achievement rate reached 76.92%, and in cycle II, it increased to 84.61%. The implementation of the Take and Give Cooperative Model has proven effective in improving the quality of learning, both in terms of process and outcomes. Therefore, this model can be a useful alternative for educators in increasing student engagement and learning outcomes in grade IV.  

Creative thinking skills are fundamental competencies to be nurtured in 21st-century learning, especially within science education. One promising approach to developing these skills is the use of an Etno-STEM integrated E-Module implemented through the Project-Based Learning (PjBL) model. The Etno-STEM integration seeks to link local wisdom and culture with the domains of science, technology, engineering, and mathematics, thereby creating meaningful, contextualized learning experiences. This study aims to investigate the impact of implementing an Etno-STEM integrated E-Module through PjBL on students’ creative thinking skills. The research employed a quasi-experimental design with two classes: an experimental group using the Etno-STEM integrated E-Module and a control group using cooperative learning strategies. Research instruments comprised both test and non-test tools. The test instrument included objective-reasoned questions aligned with four creative thinking indicators—fluency, flexibility, originality, and elaboration—while the non-test instrument involved structured observation sheets to monitor learning implementation. Data analysis demonstrated that the Etno-STEM integrated E-Module using the PjBL model significantly improved students’ creative thinking skills compared to conventional approaches. This finding highlights the potential of combining local wisdom with innovative instructional models as an effective and culturally responsive strategy for advancing science learning aligned with 21st-century educational demands.

Modern Islamic boarding schools not only focus on religious education, but are also required to improve the academic quality of students, including in mathematics subjects which are often challenging due to differences in students' learning styles, motivations, and abilities. This study aims to design and implement a Decision Support Sistem (DSS) based on the VIKOR method to analyze students' mathematical understanding and provide recommendations for more adaptive learning strategies. The study uses a descriptive quantitative approach with data obtained through documentation of students' grades, as well as interviews with mathematics teachers. The VIKOR method is used to evaluate students' understanding based on five main criteria, namely exam scores, report card scores, attendance, attitudes and behavior, and skills, through a process of normalization, weighting, calculation of S, R, and Q scores, and ranking students. The results show that there are five students with the lowest level of mathematical understanding, namely A11, A4, A17, A1, and A12, who have the lowest VIKOR index scores. This low level of understanding is influenced by factors such as learning attitudes, attendance, report card scores, and skills, so they require further attention and guidance from teachers. The application of the VIKOR method in SPK has proven effective in optimizing the analysis of students' mathematics achievements and providing recommendations for more targeted personal learning strategies, thereby helping to improve the quality of education and maximize students' academic potential.