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Misconceptions on the topic of waves are a systemic problem in high school physics learning that requires a comprehensive diagnostic instrument. Conventional diagnostic instruments up to the four-tier generation have limitations in revealing the conceptual structure behind students' thinking errors. This study aims to develop a five-tier multi-representation diagnostic instrument on the topic of waves using the 4D model (Define, Design, Develop, Disseminate). The main innovation of this instrument lies in the integration of multi-representations (verbal, pictures, graphics, mathematical) in Tier 1 and the addition of a paraphrase tier (Tier 5) that asks students to rewrite their understanding in their own words. The development process includes needs analysis, designing a grid of 16 questions, validation by two experts, and a limited trial on 34 grade XI students of SMAN 13 Kota Jambi. The results of expert validation showed an average percentage of 91.25% (Very Good) from both validators. Content validity was met with a percentage of False Positive (FP) of 6.80% and False Negative (FN) of 4.41%, both below the 10% threshold. Construct validity was confirmed through a significant Product Moment correlation (r = 0.342–0.348; sig. < 0.05) and factor analysis with six significant factors (eigenvalue > 1). The instrument's reliability was high, with a Cronbach's Alpha of 0.726. This instrument is expected to help physics teachers diagnose students' misconceptions more precisely and thoroughly on the topic of waves.

Inclusive education aims to provide equal learning opportunities for all students, including those with special needs, within regular educational settings. However, mathematics learning in inclusive classrooms remains challenging because mathematical concepts are often abstract and require logical reasoning that may not be easily accessible to learners with diverse cognitive characteristics. Ethnomathematics has emerged as an alternative approach by integrating cultural practices, local wisdom, and students’ daily experiences into mathematics instruction, creating more meaningful and accessible learning environments. This study aims to analyze the development, implementation patterns, opportunities, and research gaps related to ethnomathematics in inclusive mathematics learning. A literature review method was employed by examining scientific publications from 2020–2025 obtained from Google Scholar, Scopus, ERIC, Springer, and ProQuest databases. Data were analyzed through content analysis involving reduction, classification, interpretation, and synthesis. The findings indicate that ethnomathematics has been implemented through cultural artifacts, digital teaching materials, and project-based contextual learning. The approach supports inclusive learning through multi-representational access, instructional adaptations, scaffolding strategies, and collaborative teaching practices aligned with Universal Design for Learning principles. Furthermore, ethnomathematics enhances students’ motivation, conceptual understanding, mathematical literacy, and cultural identity. Nevertheless, studies focusing on disability-specific adaptations and long-term learning outcomes remain limited and require further investigation.

Various studies indicate that mathematics learning in schools is still dominated by teacher-centered methods that emphasize abstract concepts, resulting in limited connection to real-life contexts and low student engagement. Therefore, innovative learning approaches are needed to bridge mathematical concepts with real-world experiences while encouraging active student participation. This community service activity aims to enhance students’ conceptual understanding and creativity through the use of innovative mathematics teaching aids within a participatory approach. The method employed is descriptive-implementative, consisting of needs analysis, training implementation, and evaluation stages. Data were collected through concept understanding tests, mathematical creativity tests, observations, and interviews, and were analyzed using both quantitative and qualitative approaches. The results show an improvement in students’ conceptual understanding as well as the development of mathematical creativity, indicated by increased fluency, flexibility, and originality in problem-solving. In addition, students’ active participation in the learning process significantly improved. The use of teaching aids proved effective in creating more meaningful learning experiences through direct interaction with mathematical concepts. In conclusion, the use of mathematics teaching aids in participatory-based learning is effective in improving the quality of learning, particularly in terms of students’ conceptual understanding and creativity.

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.

Understanding mathematical concepts is a fundamental ability that elementary school students must possess, particularly in multiplication, which serves as a foundation for learning more advanced mathematical topics. Based on the conditions observed in the fourth-grade class at UPT SDN 185 Gresik, there are still students who do not fully understand the concept of multiplication, as the learning process tends to emphasize memorization rather than conceptual understanding. In addition, differences in learning styles and gender are suspected to influence students’ conceptual understanding abilities. Therefore, this study aims to describe the conceptual understanding of fourth-grade students in multiplication, viewed from their learning styles and gender.This study employs a descriptive qualitative research method, with six fourth-grade students of UPT SDN 185 Gresik as the research subjects. Data were collected through learning style questionnaires, concept understanding tests and questionnaires, and interviews. Data analysis was conducted through the stages of data reduction, data presentation, and conclusion drawing, based on indicators of conceptual understanding. Data validity was ensured using triangulation of techniques, sources, and time. The results of the study indicate that auditory learners tend to have better conceptual understanding compared to visual and kinesthetic learners, and female students outperform male students. Based on these findings, teachers need to implement differentiated instruction tailored to students’ learning styles: using diagrams, images, and colored multiplication tables for visual learners; applying discussions, question-and-answer sessions, and repeated verbal explanations for auditory learners; and utilizing concrete teaching aids along with hands-on activities for kinesthetic learners to optimize conceptual understanding.

This study aims to describe students’ mathematical creative thinking skills through the use of Project-Based Learning (PBL)-based Student Worksheets (LKPD) on the topic of translation via a tessellation project. The study employed a quantitative descriptive approach supported by qualitative data in the form of documentation of students’ project outcomes. The research subjects consisted of 20 students divided into 10 groups. Data were collected through the assessment of tessellation projects and documentation of students’ work, which were analyzed based on indicators of mathematical creative thinking skills, namely fluency, flexibility, originality, and elaboration. The results of the study indicate that students were able to generate various ideas in designing tessellation patterns, employ diverse pattern-arrangement strategies, and develop works demonstrating a visual understanding of the concept of translation. Elaboration skills were evident in the development of details, neatness, and refinement of the works, while originality was evident in the variety of motifs and designs produced by each group. Project-based learning provided students with the opportunity to explore ideas, collaborate in groups, and connect mathematical concepts with tangible products. The implementation of Project-Based Learning (PBL) in local curriculum materials through a tessellation project also helps students understand the concept of translation more concretely through activities involving the design and creation of repeating patterns. Overall, this approach facilitates the development of students’ creative mathematical thinking skills regarding the topic of translation and provides a more active, meaningful, and student-centered learning experience.

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.

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: (1) describe the quality of mathematical understanding of Grade IX students at MTs Negeri Karangasem on the topic of curved surface solids, (2) identify the level of mathematics anxiety, and (3) examine the relationship between mathematical understanding and mathematics anxiety. This research employed a quantitative approach involving 100 students selected from 130 Grade IX students. Mathematical understanding data were collected using a three-item test based on indicators of instrumental, relational, and logical understanding, while mathematics anxiety data were obtained through a 30-item questionnaire. All instruments were validated by experts and showed adequate reliability based on Cronbach’s Alpha. Data were analyzed using descriptive statistics, while the relationship between variables was tested using the Chi-Square test and the Fisher Freeman Halton Exact Test. The results show that most students (80%) have not yet achieved adequate mathematical understanding, while 20% demonstrate instrumental understanding. In terms of anxiety, 84% of students experience moderate anxiety, 11% high anxiety, and 5% low anxiety. Most students (67%) fall into the category of moderate anxiety with low understanding. Statistical results indicate that mathematical understanding and mathematics anxiety are significantly related.

The retention of customers in the retail banking sector is a critical economic imperative; however, predictive modeling is frequently hindered by severe class imbalance and the “Black Box” nature of complex algorithms. This study proposes a Heterogeneous Stacking Ensemble framework integrating XGBoost, CatBoost, and Random Forest base learners with a Logistic Regression meta-learner to forecast customer attrition. To overcome the pervasive “Majority Class Bias,” we introduce a “Dual-Imbalance Defense” that synergizes the Synthetic Minority Over-sampling Technique (SMOTE) with algorithmic cost-sensitive penalization. Furthermore, moving beyond standard accuracy metrics, the framework mathematically derives a dynamic classification threshold to guarantee a strict 0.90 recall rate, actively optimizing the capture of at-risk capital. Model opacity is addressed through the integration of a SHapley Additive exPlanations (SHAP) TreeExplainer. This cooperative game theory approach provides localized, patient-level “Reason Codes” for regulatory compliance and reveals global systemic vulnerabilities, including non-linear drivers such as the “Product Paradox.” Achieving a 0.90 recall rate and an AUC of 0.8654, this framework provides a statistically robust and operationally transparent tool for targeted customer retention.

This study analyzes junior high school students' errors in solving mathematics problems involving integers. This study was conducted through a systematic literature review of 12 related research articles published between 2021 and 2026. The analysis shows that students' errors in integers include contextual, procedural, and technical (calculation) errors. The most common conceptualization errors were found in the understanding of positive and negative signs and the rules for mixed operations. The main causes of errors are a lack of in-depth conceptual understanding, the habit of memorizing without understanding, and a lack of practice using concrete media. Internal factors such as learning motivation and external factors such as learning methods and media also contribute. This study recommends that the mathematics learning process emphasize meaningful conceptual understanding, the use of concrete media, and learning strategies that engage students' mathematical connection skills. Thus, difficulties in learning integers can be minimized sustainably.

This outreach program evaluates the efficacy of the Lingkari Aku cooperative learning model in enhancing conceptual mathematical grasp among elementary students. Carried out at SD Negeri 054945 Dogang during the 2023/2024 odd semester, this study employed a qualitative case study methodology. The target participants were students engaged in integer operation topics. Data acquisition involved systematic observation, assessment tests, and documentation. The findings demonstrate that the Lingkari Aku method markedly bolstered student engagement, stimulated proactive group dialogue, and refined their grasp of integer concepts. Beyond academic gains, the approach fostered essential social competencies, such as teamwork, interpersonal communication, and accountability. Although high student excitement necessitated rigorous classroom management, the method successfully established a dynamic and pleasurable mathematical learning atmosphere. Consequently, this model is endorsed as a viable pedagogical alternative for elementary mathematics, especially within the framework of educational community service initiatives.

This study aims to determine the abillity of students’ conceptual understanding of mixed fractions after the application of the PhET Colorado application in class VII of Muhammadiyah Pagar Alam Middle School in the 2025/2026 Academic Year. The subjects in this study were class VII.2 with 30 students with an average of 77. This study uses a pre-ekperimental design method one group pretest-posttest. Data collection techniques used in this study include tests and documentation data analysis techniques are stages carried out after all research data is collected. Through the PhET Colorado application, the percentage per indicator was obtained, the indicator restating the concept with an achievement of 63,50%, the indicator mathematical representation with an achievement of 74,78%, the indicator problem solving with an achievement of 95,00%, therefore the average reached 77,78%. So it can be in mixed fractions material on the ability of students’ conceptual understanding in class VII of Muhammadiyah Pagar Alam Middle School in the 2025/2026 Academic Year.

This study aims to: (1) Determine the effect of the discovery learning model with the aptitude treatment interaction strategy on the mathematical concept comprehension and self-efficacy of 10th-grade students at SMA Negeri 3 Tarakan; (2) Determine the effect of the discovery learning model with the aptitude treatment interaction strategy on the mathematical concept comprehension of 10th-grade students at SMA Negeri 3 Tarakan; (3) Determine the effect of the discovery learning model with the aptitude treatment interaction strategy on the self-efficacy of 10th-grade students at SMA Negeri 3 Tarakan. The research population included all tenth-grade students of SMA Negeri 3 Tarakan in the 2024/2025 academic year. The research sample consisted of two classes selected randomly: one experimental class receiving discovery learning with an aptitude treatment interaction strategy and one control class receiving conventional learning. The research instruments consisted of a test measuring mathematical concept understanding on trigonometry material and a self-efficacy questionnaire. The data obtained were tested for prerequisites through normality and homogeneity tests before being analyzed using inferential statistical tests in the form of an independent samples t-test with the assistance of SPSS software version 26.0. The research results show that the implementation of the discovery learning model with the aptitude-treatment interaction strategy has a significant impact on students' mathematical concept understanding and self-efficacy simultaneously, with a significance value of 0.006 < 0.05. Partially, this learning model has a significant effect on students' mathematical concept understanding, with a significance value of 0.018 < 0.05. However, the effect of the discovery learning model with the aptitude-treatment interaction strategy on students' self-efficacy is not statistically significant, as indicated by a significance value of 0.089 > 0.05, even though there is a tendency for increased self-efficacy among students participating in the experimental class learning. Nevertheless, the influence of the discovery learning model with the aptitude treatment interaction strategy on students' self-efficacy is not statistically significant in partial terms, although there is a tendency for an increase in self-efficacy among students participating in the experimental class. These findings suggest that the discovery learning model with the aptitude treatment interaction strategy is effective in improving students' understanding of mathematical concepts in trigonometry material and has the potential to support the development of self-efficacy in mathematics learning.

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 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.

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.

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.

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.