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Teaching plane geometry often faces challenges due to the abstract nature of geometric concepts, which are often detached from students’ real-life contexts. This study is a development research (Research and Development) using a modified 4D model reduced to 3D (Define, Design, Develop) aimed at producing and testing the validity of a Student Worksheet based on ethnomathematics with Batik Sekundang motifs on plane geometry material oriented toward Contextual Teaching and Learning (CTL). Validation was conducted by two mathematics education experts who assessed the feasibility of content/material, media, and language/readability using a Likert scale instrument. The data were analyzed quantitatively in a descriptive manner using percentage formulas to determine the level of validity. The results showed that the student worksheet obtained a validity percentage of 87.50% in content feasibility (very valid), 80.76% in media (valid), and 87.50% in language (very valid), with an overall average of 85.25%, which falls into the very valid category. Based on these results, the ethnomathematics-based student worksheet with Batik Sekundang motifs is declared suitable to be used as a supporting teaching material for contextual and meaningful plane geometry learning for students in South Bengkulu.

Learning geometric transformations requires a strong conceptual understanding due to their abstract nature. One effort to enhance students’ conceptual understanding of mathematics is through the development of contextual and meaningful instructional materials that incorporate local culture. This study is a research and development (R&D) study employing the 4D model (Define, Design, Develop, and Disseminate) aimed at examining the validity of the developed Student Worksheets. The validation of the Student Worksheets was conducted by two experts in mathematics education who evaluated the aspects of content feasibility, media, and language and readability. The data were analyzed using descriptive quantitative methods with percentage scores to determine the level of validity of the Student Worksheets. The results showed that the developed Student Worksheets obtained a validity percentage of 93.75% for the content feasibility aspect (very valid), 80.77% for the media aspect (valid), and 87.50% for the language and readability aspect (very valid), with an overall average of 87.34%, which falls into the very valid category. Based on these results, the ethnomathematics-based Student Worksheets using the Kepahiang Traditional House context are considered feasible for use as supporting instructional materials in learning geometric transformations.

Mathematics learning is often perceived as difficult and monotonous by elementary school students, especially when dealing with abstract concepts such as integers. This community service activity aims to provide a more enjoyable and meaningful learning experience through an educational game themed Seblak Prasmanan Matematika for fifth-grade students of SD Negeri 170924. The method employed is participatory, in which students are directly involved in the learning process through interactive activities such as the “Pak Polisi” game, the introduction of integer concepts, and the main game that connects arithmetic operations with the activity of selecting seblak ingredients representing positive and negative values. The results of the activity indicate an increase in students’ enthusiasm and participation during the learning process, as well as an improvement in their understanding of addition and subtraction of integers. Through this game-based approach, mathematics is no longer viewed as a rigid subject, but as a learning activity closely related to everyday life. This activity also shows that game-based learning can increase students' motivation and creativity in understanding mathematical concepts.

This study aims to describe the implementation of the curriculum in mathematics learning at Al Ihsan Yapis Kotaraja Elementary School in the context of the Merdeka Curriculum. The focus of the study includes learning planning, learning implementation, the use of media and learning resources, the role of teachers and schools, and learning evaluation. The research uses a qualitative descriptive approach with data collection techniques through questionnaires, interviews, observations, and documentation. Data analysis was carried out through data reduction, data presentation, and conclusion drawing using triangulation techniques to ensure data validity. The results show that the implementation of the curriculum in mathematics learning has been quite effective. Teachers apply student-centered learning through differentiated learning and various learning strategies, such as lectures, discussions, and deep learning approaches. The most widely used media and learning resources are printed books and the internet. Teachers and schools play an important role in creating active learning and supporting the implementation of the Merdeka Curriculum. However, learning evaluation is still dominated by written tests, so it does not fully reflect authentic assessment in accordance with learning objectives. Therefore, improvements are needed in the application of authentic assessment and the integration of learning objectives, learning strategies, and assessment techniques so that curriculum implementation can run more optimally.

Many students still face difficulties in understanding statistics because inaccurate preconceptions often develop into misconceptions. This condition is important to study since misconceptions can hinder the mathematics learning process and reduce the quality of students’ conceptual understanding. This study aims to analyze in depth how preconceptions affect the emergence of misconceptions among senior high school students in learning statistics. The research employed a qualitative descriptive method with a case study approach, involving three tenth-grade students from State Senior High School 1 Purwosari who were selected through purposive sampling based on high, medium, and low achievement categories. Data were collected through diagnostic tests in the form of essay questions to reveal students’ preconceptions and in-depth interviews to explore their reasoning, then analyzed descriptively. The findings show that students with accurate preconceptions did not experience misconceptions, students with partially correct preconceptions developed classificational, theoretical, and correlational misconceptions, while students with incorrect preconceptions experienced more complex misconceptions, such as considering the median as the largest value and failing to relate changes in data to the properties of the mean, median, and mode. The study concludes that inaccurate preconceptions directly contribute to the emergence of various forms of misconceptions. The implication is that teachers need to detect, identify, and correct students’ preconceptions from the beginning of the learning process so that misconceptions can be minimized and students’ understanding of statistics can develop more comprehensively.

This research aims to analyze student learning activities in Mathematics through observational studies at SD Inpres 1 Koya Timur. Student learning activities are an essential aspect in determining the success of learning, particularly in Mathematics, which requires active student involvement in the processes of thinking, reasoning, and problem-solving. This study uses a qualitative approach with observation methods and a systematic literature review. Data were obtained through observations of fifth-grade students' learning activities during Mathematics lessons, supported by relevant literature analysis. The results show that student learning activities include visual, verbal, writing, mental, and emotional activities. Some students displayed active involvement through activities such as asking questions, answering questions, discussing, and completing assignments; however, there were still students showing passive involvement. Factors influencing student learning activities include the role of the teacher, teaching methods, the use of media and learning materials, the classroom environment, and student characteristics. This research concludes that the student learning activities in Mathematics classes at SD Inpres 1 Koya Timur are categorized as fairly active, but improvements are necessary by implementing student-centered learning strategies to make Mathematics learning more effective and meaningful.

This study aims to identify students' learning obstacles in the process of understanding one-variable linear equations in grade VII, develop an appropriate learning trajectory using a Realistic Mathematical Education (RME) approach, and produce an effective learning design to reduce these obstacles through generative models. The research adopts a design research methodology consisting of three main stages. The first stage, preparation for the experiment, includes a literature review and analysis of teachers’ instructional practices to develop a Hypothetical Learning Trajectory (HLT) for one-variable linear equations. The second stage, design experiment, involves testing the designed learning activities through a pilot experiment and teaching experiment. The third stage, retrospective analysis, compares actual classroom observations with the initial HLT to refine and validate the learning trajectory. The research subjects include seven grade VII students in the pilot experiment and 44 students from SMP Negeri 2 Mataram in the teaching experiment. Data collection methods include tests, observations, interviews, and documentation, with retrospective analysis used to generate a validated Local Learning Trajectory (LLT). The findings reveal several epistemological obstacles experienced by students, such as difficulties in applying fundamental arithmetic concepts (addition, subtraction, multiplication, division) within the context of linear equations. Students also struggled with concept recognition, representation, and interpretation of linear equations in various forms. The developed LLT proved effective, as students demonstrated improved understanding and were able to follow the learning sequence meaningfully. Retrospective analysis confirmed that the LLT successfully addressed and reduced students’ learning obstacles in mastering one-variable linear equations.

Physics learning requires students’ multirepresentational ability to understand concepts through verbal, mathematical, pictorial, or graphical forms. However, instruction at SMAN 1 Natal is still dominated by conventional methods, resulting in less active student participation and low multirepresentational skills. This study aims to determine the improvement of students’ multirepresentational ability after the implementation of the Problem Posing learning model on the topic of sound waves. The research employed a quantitative approach with a quasi-experimental design. The sample consisted of class XI MIPA 1 as the control class and class XI MIPA 2 as the experimental class. The research instrument was a multirepresentation test administered through pre-test and post-test. Data were analyzed using the Shapiro–Wilk test, the Mann–Whitney test, and the N-Gain test. The results of the normality test indicated that the data were not normally distributed; therefore, hypothesis testing was continued using the Mann–Whitney test, which yielded a significance value of 0.00 < 0.05. This result indicates a difference in the improvement of multirepresentational ability between the experimental and control classes. The N-Gain result for the experimental class was 49.40%, categorized as moderate. Thus, the implementation of the Problem Posing learning model in the experimental class resulted in an improvement that was lower than that of the control class

This study aims to develop a teaching module focused on mathematical problem posing and problem solving, specifically within the topic of statistics. The goal is to create a module that is not only valid, practical, and effective but also capable of honing the critical and creative thinking skills of high school students. This study utilizes the Research and Development (R&D) method following the 4D development model. The subjects of this research were 10th-grade high school students. The research findings indicate that the teaching module is considered highly valid, with a score of 4.13. In terms of practicality, it achieved a score of 3.8, suggesting the module is user-friendly, engaging, and supportive of a smooth learning process. The module proved effective in improving students' critical and creative thinking skills, as evidenced by a 42% increase in average test scores after using the module. This research suggests that the developed teaching module is feasible for use as instructional material at the high school level and is capable of strengthening students' critical and creative thinking abilities. This module serves as an alternative instructional resource that encourages active, innovative mathematics learning oriented toward the development of high-order thinking skills (HOTS).

The low level of interest and motivation among elementary school students in learning mathematics, particularly in plane geometry topics, remains a common problem. This community service activity aimed to improve students’ interest and understanding of plane geometry concepts through the implementation of the Inspiration Class as an educational medium that connects mathematical material with students’ aspirations. The activity was conducted at SDN 056024 Dogang, Langkat Regency, involving sixth-grade students. The implementation method employed a participatory and educational approach consisting of preparation, implementation, and evaluation stages. The activities included the delivery of plane geometry material, interactive discussions, and a creative project in the form of a “dream tree” using origami shaped into plane figures. The evaluation was performed qualitatively by observing student engagement and interactions in question-and-answer sessions, and analysis of students’ work. The results showed that the Inspiration Class created a more active and enjoyable learning atmosphere, increased student participation, and helped students better understand the concepts and properties of plane figures. In addition, this activity motivated students by linking mathematics learning with future aspirations and professions. Therefore, the Inspiration Class can be considered an effective alternative educational medium for teaching mathematics at the elementary school level.

Breakfast and sleep quality are important factors that can influence students’ concentration and academic achievement. This study aims to analyze the relationship between breakfast consumption levels and sleep quality with the learning achievement of students at SMP Negeri 31 Medan. This research used a quantitative method with a cross-sectional design. The study population consisted of all 192 eighth-grade students, with a sample of 88 respondents selected through simple random sampling. Breakfast intake was measured using a 3x24-hour food recall (breakfast time only), sleep quality was assessed using the Pittsburgh Sleep Quality Index (PSQI) questionnaire, while learning achievement was obtained from semester exam scores in Indonesian Language and Mathematics subjects. Data analysis was carried out using the Chi-Square test with a significance level of 0.05. The results showed a significant relationship between breakfast intake and learning achievement in Indonesian Language (p=0.003) and Mathematics (p=0.000). Sleep quality was also proven to be associated with learning achievement in Indonesian Language (p=0.001) and Mathematics (p=0.000). The conclusion of this study is that having breakfast with adequate nutritional intake and maintaining good sleep quality contribute positively to improving students’ learning achievement.

This research aims to develop a deep learning-based mathematics e-module with the integration of the context of the Suramadu Bridge in scale and comparison materials for grade VII junior high school students. The development model used is the 4D (Define, Design, Develop, Disseminate) model which includes the stage of defining learning needs, designing e-modules, product development, and limited deployment. The research instruments used included validation sheets of media and material experts, observation sheets of teacher and student activities, learning outcome tests, and student response questionnaires. The results of the study showed that the e-modules developed met the valid criteria with a media validity level of 94.29% and material of 95%. In addition, the e-module is considered practical with teacher practicality of 78.67% and students of 86.67%, and effective with a learning effectiveness rate of 83.83%. The students' response to the e-module was also very positive, which showed that the integration of the local context of the Suramadu Bridge and the deep learning approach was able to increase student engagement, learning motivation, and understanding of mathematical concepts in a meaningful way. These findings indicate that local context-based e-modules can be an innovative alternative in mathematics learning that is relevant to students' real lives as well as support the implementation of 21st century learning.

Mathematics is a core subject that develops critical thinking skills; however, many third to fifth-grade elementary school students face difficulties with conventional teaching methods that tend to be uniform and less adaptive. This study aims to develop and implement a mobile-based educational game, "Ethno Run," which integrates the Bayesian Knowledge Tracing (BKT) algorithm to provide an adaptive learning experience. The method used is Research and Development (R&D) with the Multimedia Development Life Cycle (MDLC) framework. The system uses BKT to track students' mastery in real-time by analyzing their responses to pre-tests and exercises within the game, which then adjusts the difficulty level and focuses the post-test on areas identified as weak, such as arithmetic operations and geometry. The findings show that this adaptive approach significantly improves learning outcomes, with the average score increasing from 44.33 on the pre-test to 85.33 on the post-test among 30 students. This study concludes that the integration of Artificial Intelligence through BKT effectively personalizes learning, enhances student motivation, and provides data-driven insights for teachers regarding students' progress. The implication of this research is that adaptive game-based learning serves as a feasible interactive solution to bridge the gap in conventional basic mathematics education.

High school student’s poor understanding of mathematics remains a common problem, particularly in terms of learning motivation and independent problem-solving skills. This situation is also experienced by students at Nurul Jadid High School, where mathematics lessons tend to be perceived as difficult and boring. This community service activity aims to improve student’s mathematical understanding through the implementation of the Fun Arithmetic game-based tutoring program, designed to be interactive and fun. The methods used in this activity include planning, implementation, and evaluation. The activity was implemented through group tutoring using an educational math game that integrates the concepts of counting, problem-solving, and healthy competition between students. Evaluation was carried out through observation, and pre- and post-activity comprehension tests. The results of the activity showed an increase in students' understanding of mathematical concepts, as indicated by an increase in final test scores compared to the initial test. In addition, students demonstrated a more positive, enthusiastic, and active attitude in participating in mathematics learning. Thus, the Fun Arithmetic game-based tutoring program has proven effective as an alternative learning strategy to improve students' mathematical understanding of Nurul Jadid High School and create a more interesting and enjoyable learning atmosphere.

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

Learning is the process of children getting to know knowledge that aims to increase knowledge as a basis for forming behavior. The learning process is carried out so that children experience behavioral changes and gain an overall improvement in knowledge, skills, and attitudes. Learning is very closely related to daily life, therefore it is important for children to learn continuously, one of which is through learning mathematics. Mathematics learning has a very important role in the sustainability of children's education because mathematics is one of the fundamental non-physical tools in the world of education and daily life. Through mathematics learning, children are trained to think logically, systematically, critically, and creatively in solving various problems. In addition, mathematics helps children solve calculation problems that are often encountered in daily activities, such as counting money, measuring length, time, and distance, and interpreting simple data. Mathematics learning also plays a role in developing the ability to reason and make appropriate decisions. Therefore, mathematics learning is a subject that must be followed because it has a great influence on thinking skills, learning independence, and children's readiness to face life challenges and scientific development in the future.

Dyscalculia is a difficulty in learning mathematics that is commonly experienced by elementary school students, especially in multiplication materials. Students with dyscalculia experience obstacles in understanding the concept of numbers and calculation operations, which has an impact on low learning outcomes and students' confidence in mathematics learning. This study aims to describe the difficulties of learning multiplication in dyscalculia students in grade III of MI Nurul Falah 3, as well as identify learning efforts that can help overcome these difficulties. This study used a qualitative approach with a case study design on two students who were identified as having dyscalculia. Data collection techniques include observation, diagnostic assessment, interviews with students and teachers, and analysis of learning outcomes. The results showed that students had difficulty recognizing number symbols, often flipped numbers, and were not able to complete simple multiplication independently. Concrete learning using the "Multiplication Smart Wallet" media has been proven to help students understand the concept of multiplication, increase learning motivation, and reduce anxiety about mathematics. Thus, the use of concrete media is considered effective in supporting more inclusive mathematics learning for dyscalculia students.

This article discusses community service aimed at improving students' mathematical understanding at MI Nurul Mun'im through learning assistance assisted by the Astromath game. The main problem faced is low student motivation and understanding in mathematics, caused by less engaging learning methods. The purpose of this activity is to provide a solution by using innovative educational technology, specifically the Astromath game, which is designed to develop students' mathematical abilities in an interactive and fun way. The method used in this community service is a direct mentoring approach that involves students in game-assisted learning sessions, with mentoring from lecturers and students. This activity was carried out over several meetings involving the direct use of the Astromath game in class. The results obtained showed an increase in student understanding of mathematics material, especially in terms of basic arithmetic operations, as well as a significant increase in learning motivation. This is indicated by an increase in the average pre-test score from 58.8 to 88.9 average post-test score. In addition, students were also more active and interested in participating in mathematics lessons after being involved in learning sessions using this game. The use of the Astromath game has proven effective in making mathematics learning more interesting and improving student learning outcomes at MI Nurul Mun'im.

This Community Partnership Program (PKM) aims to improve the competence of mathematics teachers at Madrasah Tsanawiyah (MTs) in Lumajang Regency in developing ethnomathematics-based teaching materials integrated with Augmented Reality (AR) technology. This program was initiated due to the minimal use of local culture in mathematics learning and the low ability of teachers to develop innovative teaching materials. The activity was carried out in four main stages: socialization, training, technology application, and mentoring and evaluation. The training included an introduction to the concept of ethnomathematics, the preparation of differentiated teaching materials, and the creation of AR-based learning media using Unity 3D, Blender, Geogebra, and Vuforia. The results of the activity showed an increase in teachers' understanding of the concept of ethnomathematics and their ability to integrate the local cultural values of Lumajang into mathematics learning. In addition, teachers successfully produced contextual AR-based interactive teaching materials in line with the spirit of the Merdeka Curriculum. This activity also strengthened collaboration between lecturers, students, and teachers of the MTs Wilker III Mathematics MGMP and became a model for continuous training in the development of innovative learning media based on local wisdom and digital technology.

This research examines the practices of a B4 class teacher at RA Takhrimah Tungkop in identifying children’s Multiple Intelligences (MI) through authentic observation during an activity of printing moon shapes using banana stems. The study employed a descriptive qualitative approach with data collected through in-depth interviews and participatory observation. Data were analyzed thematically and supported by source and technique triangulation to ensure the validity of the findings. The results indicate that the teacher’s understanding of the MI concept was still focused on linguistic, logical-mathematical, and visual-spatial intelligences. Despite this limited conceptual scope, the implementation of authentic observation during the art-based activity successfully revealed a broader range of children’s intelligences. The moon-printing activity demonstrated indicators of visual-spatial intelligence through shape recognition and composition, bodily-kinesthetic intelligence through hand–eye coordination and motor control, and intrapersonal intelligence reflected in children’s ability to manage emotions, maintain focus, and show persistence during the task. Repeated observations accompanied by anecdotal records enabled the teacher to construct individual and continuous MI profiles for each child. These profiles can be utilized to design more varied, contextual, and child-centered learning strategies that align with the characteristics of early childhood learners in the Raudhatul Athfal setting. The practices observed also illustrate the connection between Gardner’s MI theory and Islamic early childhood education grounded in concrete learning activities. The findings support the development of child-friendly learning environments and encourage teacher creativity in conducting activity-based assessments. This study recommends strengthening teacher competencies through training in authentic MI assessment and further research using a research and development approach.