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Low student achievement in mathematics, particularly in arithmetic sequences and series, has led to decreased learning motivation and participation. Therefore, innovative and engaging instructional strategies are required, one of which is the implementation of ice-breaking activities to reduce boredom and enhance students’ learning engagement. This study aimed to examine the effect of implementing ice breaking on the mathematics learning outcomes of tenth-grade students at SMK Kesehatan Samarinda in the topic of arithmetic sequences and series. This research employed an experimental method using a quasi-experimental design, involving two groups: an experimental group that received instruction incorporating ice breaking and a control group that did not receive such treatment. The total sample consisted of 60 students selected through purposive sampling. The research instrument was a learning achievement test administered as a pretest and posttest. Data were analyzed using a paired sample t-test to determine differences in learning outcomes between the two groups. The results revealed a significance value of 0.000 (< 0.05), indicating a significant difference in learning outcomes between the experimental and control groups. Therefore, it can be concluded that the implementation of ice breaking has a significant effect on improving students’ mathematics learning outcomes. This strategy creates a more active, interactive, and enjoyable learning environment, thereby facilitating students’ understanding of mathematical concepts, particularly arithmetic sequences and series.

Rainfall plays a crucial role in determining flood risk, particularly in regions with high precipitation intensity and limited drainage capacity. Langkat Regency in North Sumatra is one of the areas frequently affected by seasonal flooding. This study aims to model the spatial distribution of rainfall and estimate the rainwater volume using the double integral approach as a basis for flood mitigation planning. Monthly rainfall data from various observation stations in 2024 were processed to obtain the average rainfall intensity, which was then converted into meters and multiplied by the total area of Langkat Regency to compute the rainwater volume. The results indicate that the total estimated rainwater volume throughout 2024 reached 16,409,819,800 m³, with peak precipitation occurring from September to November, contributing significantly to the increasing flood risk in low‐lying zones and riverine areas. These findings demonstrate that the use of double integrals is an effective quantitative method for predicting potential flood volume based on rainfall distribution. The outcomes of this study are expected to serve as a scientific reference for local governments in developing data-driven flood mitigation strategies, such as improving drainage capacity, constructing retention basins, and strengthening watershed management.

This study aims to determine the effect of interactive learning media based on Math Playground on student learning outcomes on fraction materials in class IV SDN Kedung Dalem III. The problem studied is whether there is a significant influence between the use of interactive learning media based on Math Playground on student learning outcomes in grade IV SDN Kedung Dalem III. This study uses a quantitative method with a one group pretest-posttest design. The sample of this study were fourth grade students of SDN Kedung Dalem III, totaling 17 students. The research instrument used is a test (Pretest-Postest) of student learning outcomes on fraction material, which consists of 10 multiple choice questions. The results of the analysis using the wilcoxon test show that the sig value (2 tailed) is 0.000 which indicates significance <0.05 so that H0 is rejected and H1 is accepted. This shows that the interactive learning media Math Playground has a significant effect on improving student learning outcomes. The conclusion of this study is that Math Playground interactive learning media can improve student learning outcomes on fraction material. Therefore, teachers and educators can use Math Playground as an alternative learning media to improve student learning outcomes.

This research explores how monopoly markets operate in the context of a sharia-based microeconomy, with a primary focus on how prices are regulated based on the principle of adl or justice. Unlike traditional monopolies, which often create inefficiencies in resource allocation and exploit consumers, Islamic teachings require fair prices, in accordance with the Quran's prohibition of gharar (uncertainty) and zulm (oppression). Referring to the theories of Ibn Taymiyyah and modern thinkers such as Chapra, we examine how monopoly companies can achieve maslahah or mutual benefit through profit restrictions, combining prices with zakat, and supervision by a sharia council. Through a simple mathematical model, we prove that monopolies regulated by justice produce better Pareto outcomes than equilibria that only maximize profits, by reducing social losses while still encouraging innovation. Empirical data from Islamic markets in Indonesia, such as halal commodities, support these findings, where regulations can stabilize prices at 15-20% lower. The conclusion of this study highlights the importance of Sharia principles in managing sustainable markets in developing countries, with policy recommendations to reform antitrust rules to align with the maqasid al-Shariah.

This study examines the application of double integrals in calculating the volume of cylindrical concrete piles as a basis for estimating material requirements in building foundation structures. The volume calculation was carried out using a double-integral approach in polar coordinates for three pile segments with lengths of 4 m, 3.9 m, and 4 m, each having a diameter of 60 cm. The results were then validated using the standard geometric formula to ensure consistency and mathematical reliability. The obtained concrete volume was subsequently used to estimate material needs based on a 1:1.5:3 mix proportion consisting of cement, sand, and gravel. The findings indicate that double integrals can be effectively applied to generate accurate estimations of both volume and material requirements, supporting logistical planning in construction. This approach also highlights the strong connection between mathematical concepts—particularly multivariable calculus—and practical applications in civil engineering. Furthermore, the study emphasizes that double integrals may serve as a relevant alternative when structural modeling requires deeper analytical exploration or validation beyond conventional geometry. Therefore, the implementation of double integrals not only reinforces theoretical understanding but also enhances precision in evaluating structural components within building foundation planning.

This study was conducted to analyze the relationship between students’ learning motivation and their perception of mathematics with mathematics achievement among tenth-grade students at SMA Al Islam 1 Surakarta. Mathematics was chosen as the focus because it is often considered a subject that presents significant challenges for students, both in terms of conceptual understanding and in shaping positive attitudes toward learning. The study employed a correlational quantitative method, with the population consisting of all tenth-grade students and the sample limited to class X-9, comprising 36 students. The instruments used were a motivation questionnaire, a perception questionnaire, and mathematics learning outcomes obtained from mid-semester test scores. Data analysis included normality testing and Pearson correlation to identify the relationship among variables. The results indicated that learning motivation did not have a significant correlation with mathematics achievement. In contrast, students’ perception of mathematics showed a significant correlation with their academic performance. These findings suggest that students’ positive perceptions of mathematics can play a crucial role in supporting better academic achievement, while motivation alone may not guarantee higher performance. This study contributes to a deeper understanding of the factors influencing mathematics learning outcomes and provides a foundation for further research to develop more comprehensive tools for measuring motivation. Future studies are also encouraged to consider additional variables such as teaching strategies, parental involvement, and the overall learning environment in order to present a broader analysis of student success.

This study explores the integration of financial numeracy with local wisdom in mathematics education in Indonesia. By incorporating real-life financial scenarios, such as budgeting, saving, and investment calculations, into mathematics lessons, the research aims to enhance students' understanding of mathematical concepts while simultaneously improving their financial literacy. The study also emphasizes the importance of using local cultural and economic knowledge as a context for learning, making abstract mathematical concepts more relevant and accessible. The findings suggest that contextualizing mathematics education through local wisdom significantly improves student engagement, understanding, and practical application of mathematical knowledge. The integration of financial numeracy helps students make informed financial decisions and prepares them for future financial challenges. This research contributes to the development of a mathematics curriculum that combines financial literacy with local context, offering a more inclusive, relevant, and practical approach to education. The study’s findings contribute to the ongoing development of more inclusive, relevant, and practical educational frameworks that incorporate financial literacy into the mathematics curriculum.

Measurement learning is a fundamental and applicable mathematical topic in everyday life, but it often causes learning difficulties for students, especially in understanding the meaning of units, relationships between quantities, and the conceptual measurement process. These difficulties are not only caused by students' limited cognitive abilities, but also by learning designs that do not fully facilitate social interaction and student learning development. This study aims to reconstruct the contextual didactic design in measurement learning by reviewing the role of social interaction and the Zone of Proximal Development (ZPD) in the student learning process. This study uses a qualitative approach with the type of Didactic Design Research (DDR). The research stages include analysis of the initial didactic situation to identify student learning barriers, implementation of contextual didactic design in measurement learning, and retrospective analysis of student responses as a basis for reconstructing the didactic design. Data were collected through learning observations, analysis of student work results, interviews, and learning documentation. Data analysis was carried out qualitatively by examining social interaction patterns, forms of scaffolding, and student movements in the Zone of Proximal Development. The results of this study indicate that understanding of measurement concepts develops through social interactions between students and between students and teachers within a meaningful learning context. Social interactions and scaffolding provided gradually can encourage students to move from actual abilities to potential abilities within the Zone of Proximal Development. Retrospective analysis indicates that reconstruction of the didactic design is necessary to refine the learning context, activity sequence, and scaffolding strategies to better align with students' learning characteristics. The reconstruction of the didactic design can reduce learning barriers and improve the quality of students' conceptual understanding in measurement learning. This research provides theoretical contributions to the study of social constructivism-based mathematics education and provides practical implications for teachers in designing measurement learning that is more responsive to social interactions and student learning development.

This study aims to explore the integration of financial literacy into context-based mathematics education at the elementary school level by emphasizing the use of local knowledge in learning activities. Employing a qualitative descriptive approach, this research investigates the experiences and perceptions of students and teachers involved in mathematics learning that connects mathematical concepts with real-life financial situations, such as budgeting, saving, and personal financial management. Data were collected through interviews, classroom observations, and documentation analysis to obtain a comprehensive understanding of the learning process and its outcomes. The findings indicate that integrating financial literacy into context-based mathematics learning enhances the relevance of mathematical content and facilitates students’ conceptual understanding. Students reported increased interest and engagement in mathematics lessons, as well as greater confidence in applying mathematical skills to manage personal finances. The use of familiar financial contexts enabled students to perceive mathematics as meaningful and applicable to their daily lives. Teachers identified limited instructional time and difficulties in explaining abstract concepts as key obstacles in the implementation process. Overall, the results suggest that context-based mathematics learning integrated with financial literacy has strong potential to improve students’ mathematical understanding and financial awareness while fostering practical life skills. Nevertheless, effective implementation requires careful instructional planning, adequate time allocation, and appropriate pedagogical strategies to address complex financial concepts. This study contributes to the growing body of research on contextualized mathematics education by highlighting the importance of integrating local context and financial literacy to enhance the quality and relevance of elementary mathematics education.

This study aims to analyze the effect of the implementation of the Intelligent Tutoring Sistem (ITS) based on Artificial Intelligence (AI) on improving the understanding of mathematical concepts, especially in fractional and basic geometry materials, in Class V students of SD Negeri 2 Badran, Temanggung Regency. The research method used was a quasiexperimental experiment with a Non-equivalent Control Group Design. The research sample consisted of 48 students who were divided into two groups, namely the experimental group (n=24) who received learning with the help of AI-based ITS, and the control group (n=24) who received conventional learning with lecture methods and practice questions. The research instrument is in the form of a test of understanding of mathematical concepts that has been validated by experts and tested for reliability. Data were analyzed using parametric statistical tests of the Independent Sample t-test and N-Gain Score to measure the improvement. The results showed that there was a significant difference in understanding of mathematical concepts between the experimental group and the control group. The average post-test score of the experimental group (82.45) was significantly higher than that of the control group (70.12) with a p< value of 0.05. N-Gain analysis showed that the improvement in conceptual understanding in the experimental group was in the "moderate" category (g=0.56), while the control group was in the "low" category (g=0.32). These findings indicate that AI-based ITS is effective in improving students' understanding of mathematical concepts. The advantages of the system lie in its ability to provide instant feedback, personalize materials according to learning pace, and present interactive materials, thus helping to better construct students' conceptual understanding. It is recommended that schools consider the integration of ITS technology as a supplementary tool in mathematics learning at the elementary level.

This research aims to improve the mathematics learning outcomes of Grade VII B students at SMP Darul Ulum 5 Rebalas through the implementation of Madurese language-based ethnomathematics. The study is motivated by the students' difficulties in understanding mathematical concepts delivered in formal Indonesian, as their daily communication relies on the specific Madurese dialect of Rebalas Village. This study employs the Classroom Action Research (CAR) method using the Kemmis and McTaggart model, conducted in two cycles. Each cycle consists of planning, action, observation, and reflection stages. The subjects of this research were 28 students from class VII B. The research instruments included test instruments in the form of group Student Worksheets (LKPD) and observation sheets for both teacher and student activities. The material focused on the topic of Lines and Angles. The results indicated an improvement in student learning outcomes from Cycle I to Cycle II. In Cycle I, the average group score was 80.2, which increased to 88 in Cycle II. Observations of student activities also showed a shift from passive participation in Cycle I to active and enthusiastic engagement in Cycle II. Furthermore, teacher observations showed significant improvement; initial issues regarding time management and excessive workloads were resolved, resulting in more enthusiastic and punctual teaching delivery. These findings demonstrate that the use of Madurese-based ethnomathematics helps students grasp mathematical terms more easily, increases discussion participation, and creates a more comfortable and interactive classroom atmosphere, thereby leading to improved learning outcomes.

This study discusses the progress of science in Andalusia during the rule of the Umayyad Daulah II, which served as an essential bridge between the Islamic world and the West. The purpose of this research is to examine the factors that stimulated scientific advancement, the fields of knowledge that developed, and the intellectual values inherited for modern life. This study employs a qualitative approach with a library research method by analyzing various historical sources, academic journals, and scholarly works related to Islamic civilization in Andalusia. The results show that scientific progress in Andalusia under the Umayyad Daulah II emerged from political stability, social tolerance, religious enthusiasm, and government support for education and research. Knowledge flourished in diverse disciplines such as medicine, astronomy, mathematics, philosophy, art, and architecture. Andalusia became a leading center for education and translation, transmitting Islamic knowledge to Europe and contributing greatly to the rise of the Renaissance. In conclusion, the intellectual achievements of Andalusia demonstrate that the harmony between faith, justice, and openness produces a just and progressive civilization. These scientific and moral values remain relevant for guiding the development of a modern civilization grounded in ethics and humanity.

This study examines the role of mathematics learning in improving logical thinking skills in early childhood. The background of this study is based on the importance of logical thinking skills as a foundation for children's cognitive development, which can begin at an early age through appropriate mathematics learning. The purpose of this study is to analyze how mathematics learning can stimulate the development of logical thinking in early childhood and explore effective learning strategies. The methods used are library research and observation of several models of mathematics learning for early childhood in early childhood education institutions. The findings indicate that fun and concrete activity-based mathematics learning can improve children's abilities in critical thinking, constructing patterns, drawing conclusions, and solving simple problems. The implications of this study emphasize the need for the application of creative and interactive mathematics learning methods to support the development of logical thinking from an early age, while also encouraging educators to integrate mathematics into children's daily activities. This study also recommends the development of learning media appropriate to children's developmental stages for optimal results.

This study aims to determine the effect of using number puzzle media on the ability to recognize number symbols in early childhood at Kihajar Dewantoro VI Kindergarten. The background of this study is based on the importance of concrete and interesting media in supporting early mathematics learning, especially the introduction of number symbols in children aged 4–5 years. The study used a quantitative method with a quasi-experimental design through a comparison between conventional learning and learning using number puzzle media. Data were collected through observations of aspects of the ability to recognize number symbols and match numbers. The results showed that the average ability of children in conventional learning only reached a score of 6, while learning using number puzzle media increased significantly to a score of 13.1. These findings indicate that number puzzles can make children more focused, enthusiastic, and easier to understand number symbols in a concrete and meaningful way. Thus, number puzzle media is proven to be effective in improving the ability to recognize number symbols in early childhood and can be used as an alternative mathematics learning media in PAUD.

Cooking oil is a staple food widely used in daily cooking. However, repeated use of cooking oil, resulting in its conversion into used cooking oil, can have negative impacts on both health and the environment. Used cooking oil that has changed color and quality is carcinogenic and has the potential to increase the risk of cardiovascular disease if consumed again. Furthermore, improper disposal of used cooking oil can cause environmental pollution because it is difficult to decompose. This study aims to examine the wise management of household waste, especially used cooking oil, by utilizing it into products with utility value. One form of utilization is processing used cooking oil into environmentally friendly soap for laundry purposes. This activity was carried out as a form of community service through training in making soap from used cooking oil with the addition of essential oils for aromatherapy for residents of Pasar Rawa Village, Gebang District, Langkat Regency. The research method used was qualitative, with observation and direct participation in the training activities. The results showed that participants, particularly housewives, demonstrated high enthusiasm and were actively involved in both the presentation and the soap-making practices. This activity not only raised public awareness of the importance of managing used cooking oil waste but also provided new skills that have the potential to support family economic growth.

Measurement is a fundamental domain of mathematics that connects formal mathematical concepts with everyday experiences. Despite its practical relevance, students often experience persistent difficulties in understanding measurement conceptually, tending to approach it as a procedural activity rather than as a process of reasoning about quantities, units, and comparisons. These challenges indicate that learning measurement is influenced not only by individual cognitive factors but also by the social dynamics that shape classroom learning environments. This study aims to examine classroom social dynamics in learning measurement by providing empirical evidence from contextual learning situations. This study employed a qualitative research approach to explore how social interaction, scaffolding, and participation mediate students’ understanding of measurement in contextual learning environments. Data were collected through classroom observations, video recordings of learning activities, analysis of students’ written work, and interviews with selected students and the teacher. Contextual measurement tasks were designed to encourage collaboration, dialogue, and justification, enabling the examination of student–student and teacher–student interactions as they naturally occurred in the classroom. Data analysis was conducted iteratively to identify patterns of interaction, forms of scaffolding, and students’ learning progression within the Zone of Proximal Development. The findings reveal that students initially engaged with measurement tasks in a predominantly procedural manner, with limited conceptual understanding and minimal peer interaction. After the implementation of contextual learning situations, classroom social dynamics changed substantially. Students became more actively involved in discussion, collaborative problem-solving, and collective meaning-making. Peer interaction supported the articulation and refinement of students’ reasoning, while teacher scaffolding guided learning by extending students’ thinking without providing direct solutions. These social processes facilitated students’ movement from their actual level of understanding toward higher levels of conceptual competence within the Zone of Proximal Development. The study further shows that contextual learning tasks alone are insufficient to promote meaningful understanding unless they are supported by productive social interaction and adaptive scaffolding. Conceptual understanding of measurement emerged through socially mediated processes rather than through task completion alone. This study contributes to mathematics education research by emphasizing the central role of classroom social dynamics in contextual learning and by offering insights into how interaction and scaffolding can be orchestrated to support students’ conceptual understanding of measurement.

The rapid development of technology in today's era requires every profession to align with existing developments. The teaching profession is no exception. Teachers must be able to utilize technology in the learning process to create an engaging learning environment for students. To support this capability, training is essential. This community service activity aims to provide training to teachers at Bancong  Elementary School in Wonoasri District, Madiun Regency, to familiarize themselves with and be able to use the GeoGebra application. This training also aims to improve teachers' competency in utilizing digital technology as a learning medium. The GeoGebra application is an effective application for solving mathematics problems in elementary schools, particularly in geometry, particularly plane figures. The implementation method for this activity includes preparation, training, and mentoring. The training was provided in the form of workshops and hands-on practice using GeoGebra-based mathematics learning media. The activity proceeded orderly and smoothly, and the training participants understood the material well, both theoretically and in practice.

Tebing Tinggi City, which has a strategic position in North Sumatra, is experiencing changes in population growth that need to be predicted for development planning purposes. The purpose of this study is to forecast the population of Tebing Tinggi City in 2030 by applying the Double Integral method, and visualize the results in 3D using GeoGebra. The method used is a quantitative approach with a case study, where the population density function is created based on secondary data from the Central Statistics Agency (BPS) of Tebing Tinggi City for the period 2010 to 2024. Data on area and population per sub-district are used to develop a population growth model calculated using the double integral. The forecast results show that the population of Tebing Tinggi City is estimated to reach 26,038 people in 2030, with varying growth rates in each sub-district. 3D visualization through GeoGebra is able to depict the distribution of population density in an interactive geometric form, thus facilitating the understanding of complex mathematical concepts. The conclusion of this study is that double integrals can be applied effectively to predict population size, and GeoGebra serves as a very useful visual aid in presenting the results of multivariable calculus analysis.

This study aims to determine the ideal stocking density of catfish using the triple integral method. This mathematical method is applied to accurately calculate the volume of the cultivation pond and analyze the stocking amount and biomass projection at three different density levels, namely 50, 75, and 100 fish/m³. The calculation of the volume of the pond measuring 27 m x 11 m x 1.5 m produces a value of 445.5 m³. Based on the integral calculation, the optimal stocking amount is 22,275 fish, 33,413 fish, and 44,550 fish for each density, with the final biomass projection reaching 300.7 kg, 451.1 kg, and 600.4 kg, respectively. The analysis shows that the density of 100 fish/m³ produces the highest biomass, but its application must consider technical factors such as water quality, oxygen availability, and food competition. This method provides a solid and practical mathematical foundation for more efficient, scalable, and sustainable aquaculture planning.

The mathematics learning outcomes of students at SMP Negeri 3 Bontang on Rational Numbers are still relatively low. Data from the 2019 National Examination (UN) shows an average math score of 46.43, which is in the "poor" category. Summative assessment results indicate that most students have not yet achieved the Learning Objective Achievement Criteria (KKTP). This situation indicates that the learning process tends to be conventional and lacks active student engagement. Therefore, a more innovative learning model is needed, one of which is the Team Games Tournament (TGT), which combines group work, competition, and educational games. This study aims to determine the effect of the TGT learning model on the mathematics learning outcomes of seventh-grade students at SMP Negeri 3 Bontang in the topic of Rational Numbers. This study used a quantitative approach with a quasi-experimental type and a Posttest-Only Control Group Design. The study population was 203 seventh-grade students in the 2024/2025 academic year, with a sample consisting of class VII A as the experimental group (33 students) and class VII F as the control group (34 students), selected through a purposive sampling technique. The research instrument was a five-item essay test. The analysis results showed that the average posttest of the experimental group was 67.848, higher than the control group at 61.794. The Independent Sample t-Test produced a significance value of 0.031 <0.05, so H₀ was rejected. This indicates that the Team Games Tournament (TGT) learning model has a significant effect on improving students' mathematics learning outcomes in the Rational Numbers material.