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The development of halal tourism has encouraged sharia hotels to provide services that are not only comfortable and functional, but also consistent with Islamic values and halal assurance. This study aims to analyze the integration strategy between sharia hotels and halal restaurants in increasing guest visits and satisfaction at Mangkuto Sharia Hotel Payakumbuh. This research employed a qualitative approach with a case study design. Data were collected through in-depth interviews, observations, and documentation involving hotel management, operational employees, guests, sharia certification experts, and representatives of the local government. The data were analyzed descriptively and strengthened through strategic analysis using the Resource-Based View (RBV), Value Chain, SWOT analysis, IFAS-EFAS matrix, TOWS matrix, and Blue Ocean Strategy. The findings reveal that service integration was implemented through sharia-based operational policies, halal assurance systems in restaurant activities, and cross-departmental coordination between the front office, housekeeping, and food and beverage departments. This integration created added value in the form of physical comfort, emotional trust, and spiritual peace for guests. Internal hotel data also indicated an increase in occupancy rates from 26% in 2020 to 52% in 2024 following the implementation of the sharia concept and halal restaurant integration. Strategic analysis positioned the hotel in Quadrant I (aggressive growth strategy), supported by its halal reputation, Islamic organizational culture, guest trust, and its uniqueness as the first sharia hotel in West Sumatra certified by the National Sharia Council–Indonesian Ulema Council (DSN-MUI). The implication of this study shows that the integration of sharia hospitality can serve as a competitive product strategy rather than merely a compliance instrument, while also supporting the development of regional halal tourism.

Mathematics is often perceived as a subject that is difficult for students to master, a notion that has been confirmed by numerous previous studies. One of the contributing factors is the limited variety of instructional media used in classrooms, which affects students' interest and comprehension. Many teachers still lack appropriate learning media to support blended learning approaches. This study aims to develop and implement multimedia-based Educational Instructional Media (EIM) that are valid, practical, and effective. The project utilizes video-based learning to deliver algebra concepts material for Grade VII students at SMPN 252 Jakarta and SMPIT Al-Qudwah. The development process follows the ADDIE model, which includes five stages: analysis, design, development, implementation, and evaluation. During the analysis phase, both learning needs and content requirements were mapped according to SAP (System Analysis and Product). The material was then divided into seven core sections. In the design stage, the curriculum structure, system flow, and user interface were developed. The development stage involved creating instructional content based on the analysis results. The content was then uploaded to the Moodle platform and presented using the Project-Based Learning (PjBL) model.

Advances in technology and computers are utilized in various fields of contemporary applications, especially in cryptography and data security in graph theory applications. By understanding the concepts of graph theory, researchers and developers can design cryptographic algorithms that are stronger, more efficient and resistant to attacks. One of the cryptographic applications that has been implemented is the XNOR algorithm. This algorithm has been applied to encryption and decryption as well as the use of stream ciphers. By using 64 bits, the XNOR algorithm can expand encryption and decryption capabilities and increase the security of encrypted data. In this research, an analysis was carried out regarding information encryption and decryption algorithms with the application and development of the XNOR gate logic circuit method in Boolean algebra and graph theory. This research uses the example of the word MATH, which can be changed into a code or password and vice versa to secure information that you want to keep secret. Apart from that, an analysis of the graph formation of each character in the word MATH was also carried out using Python which produced semi-Euler and Hamilton graphs  

This study aims to analyze students' difficulties in understanding algebraic concepts in the implementation of the Merdeka Curriculum. This type of research uses a descriptive research method with a qualitative approach. Data collection techniques include interviews, questionnaires, and three written tests. Based on the results of interviews and questionnaires conducted by teachers with the school principal and mathematics teachers, the school has implemented the Merdeka Curriculum despite limitations in resources. The Merdeka Curriculum contributes to teachers in terms of teaching modules and freedom in creativity in learning, although training is still needed. The results of the student questionnaire indicate that the majority of students have difficulty understanding algebra, especially in identifying variables, but the majority of students feel that classroom learning is interactive and enjoyable. Most students feel helped by the example questions provided by the teacher. The written test results show that students have difficulty with the use of positive and negative signs, coefficients, constants, algebraic operations, and determining variable values. This indicates that the majority of students have not yet achieved mastery of the algebra material. It can be concluded that the implementation of the independent curriculum at SMP IT Az-Zahira Khatulistiwa supports teachers in the algebra learning process through the use of teaching modules, but students still struggle to understand algebraic concepts due to the limited use of educational media, which is constrained by the school's facilities.

This study aims to describe students' difficulties in translating word problems into mathematical models in algebra material. Using a qualitative approach, the subjects were seventh-grade students at SMP Negeri 2 Tasikmalaya in the 2024/2025 academic year. Data were collected through questionnaires, interviews, and documentation. The results show that students struggled to understand the meaning of word problems and convert them into correct equations. Common errors included misconceptions about algebraic symbols, such as treating variables as fixed numbers and misusing the equal sign. In addition, students had difficulty identifying essential information needed to construct a mathematical model. Learning activities that focused only on procedural calculations further contributed to these challenges. This study recommends the use of more contextual and meaningful learning approaches, such as Problem-Based Learning and Realistic Mathematics Education, to help students better understand the relationships within problems and accurately express them through appropriate mathematical representations..    Penelitian ini bertujuan untuk mendeskripsikan kesulitan siswa dalam menerjemahkan soal cerita ke dalam model matematika pada materi aljabar. Dengan pendekatan kualitatif, subjek penelitian adalah siswa kelas VII SMP Negeri 2 Tasikmalaya tahun ajaran 2024/2025. Data dikumpulkan melalui angket, wawancara, dan dokumentasi. Hasil penelitian menunjukkan bahwa siswa mengalami kesulitan dalam memahami makna soal cerita dan menyusunnya menjadi persamaan yang tepat. Kesalahan yang muncul meliputi pemahaman yang keliru terhadap simbol aljabar, seperti menganggap variabel sebagai angka tetap dan tidak tepat menggunakan tanda sama dengan. Selain itu, siswa juga tampak kesulitan menentukan informasi penting yang diperlukan untuk membangun model matematika. Pembelajaran yang hanya berfokus pada prosedur perhitungan turut memperkuat kesulitan ini. Penelitian ini merekomendasikan penggunaan pendekatan pembelajaran yang lebih kontekstual dan bermakna, seperti Problem-Based Learning dan Realistic Mathematics Education, agar siswa dapat lebih memahami hubungan antar informasi dalam soal dan menyusunnya dalam bentuk model yang benar.

This study aims to develop teaching materials based on the TESMER approach on algebra material to improve the quality of mathematics learning at the junior high school level. TESMER as a development model is designed to bridge learning theory with classroom learning practices through systematic stages, namely the analysis, design, formative experiments, and retrospective reflection stages. The algebra material focused on includes algebraic forms, algebraic operations, and simple problem solving. This study uses a design research approach by involving teachers and students in the development process. The results of expert validation show that the teaching materials are included in the very valid category, with high assessments in the aspects of content integration, presentation, and language. Limited trials show that the teaching materials are practical to use by teachers and are liked by students. In addition, there was a significant increase in students' conceptual understanding and logical thinking skills after using the teaching materials. These findings recommend the TESMER approach as an effective framework in developing contextual algebra learning devices that are oriented towards meaningful learning.

This research aims to understand and analyze the mathematics learning difficulties faced by class VII students at SMPN 35 Medan. Through a qualitative descriptive approach, this research explores the factors that cause learning difficulties and provides solutions that can be implemented. The research method involves written tests and interviews with students and teachers. The results of the research reveal that students face challenges in understanding basic concepts such as algebra, linear equations, equivalent and non-equivalent comparisons, as well as plane figures and spatial figures. Internal and external factors, such as students’ cognitive abilities and less effective teaching methods, influence their mathematics performance. This research suggests a more interactive learning approach, training for teachers, collaboration between schools and parents, and regular evaluation to improve students’ mathematical understanding and performance in the future. Thus, this research makes a significant contribution to efforts to improve the quality of mathematics learning in schools.

This study aims to develop Problem-Based Learning (PBL) teaching materials for algebra content in Junior High School (SMP). The research method used is Research and Development (R&D) with the ADDIE development model (Analysis, Design, Development, Implementation, and Evaluation). The results of the study indicate that PBL-based teaching materials can improve students' understanding of algebraic concepts and critical thinking skills. The trial was conducted on eighth-grade students at SMP negeri 3 Depok, with results showing a significant increase in students' final test scores compared to before using the PBL-based teaching materials.    

This article examines the development of mathematics learning design using the Dick and Carey model in material simplifying algebra forms for class VII SMPN 217 Jakarta. Learning design refers to the process of planning and developing effective learning structures, strategies and activities to achieve desired learning goals. The purpose of writing this article is to explain the steps for developing learning design by applying the Dick and Carey model in designing mathematics learning on material that simplifies algebraic forms. The results of developing designs using the Dick and Carey model in developing mathematics learning designs can help teachers in designing and implementing learning.

Computational Thinking skills are students' ability to use mathematical concepts to solve problems systematically using algorithms and programming. This research aims to measure the development of Computational Thinking skills of students at SMA N 3 Medan on algebraic function limits material. The research method used is survey research with data collection using tests and observations. The subjects of this research were class XI students from SMA N 3 Medan who were studying algebraic function limits. The research results show that there is significant development in students' Computational Thinking skills after studying the material. The implication of this research is the need for a learning approach that focuses more on developing Computational Thinking skills in mathematics learning in high school.

The concept of algebra is very important in learning mathematics, students' ability to understand advanced mathematics lessons depends on mastery of algebraic concepts. Therefore, it is necessary to analyze the errors that often arise when students solve algebra problems. The purpose of this study is to analyze the errors of vocational students in class XI in solving algebra problems. This research uses a qualitative method that is analyzed descriptively. The research subjects were 28 students of class XI with the object of research, which is the errors that arise when students solve algebra problems. The results showed that based on Kastolan's Theory, procedural errors occur most often, followed by technical errors, and concepts.

This article explains the numeracy literacy abilities of junior high school students in solving word problems in algebraic operations material. This research was conducted at SMP Negeri 1 Siantar with a total of 32 students. Data was obtained through numeracy literacy skills tests and interview results, then the data was analyzed using descriptive study quality. The research results show that the ability of students with the highest scores can fulfill two to three indicators, while students with low numeracy literacy skills test scores only fulfill one indicator test. Failure to fulfill indicators is caused by student errors, including: 1) Not writing down the data information that is known and being asked, 2) Making mistakes in solving problems, 3) Making mistakes in calculating, and 4) Not writing conclusions on the questions obtained from the answers.

Komputasi modern telah menjadi inti dari era digital saat ini, membentuk lanskap teknologi yang kita nikmati hari ini. Namun, di balik kemajuan ini, terdapat dasar-dasar matematis yang mendalam yang membentuk fondasi komputasi tersebut. Dalam abstrak ini, kami menjelajahi peran krusial matematika dalam pembangunan dasar-dasar komputasi yang kita kenal saat ini. Kami melacak evolusi dari konsep matematis dasar seperti logika boolean, teori himpunan, aljabar, hingga konsep-konsep lebih lanjut seperti teori bilangan dan kalkulus yang membentuk landasan bagi pengembangan algoritma dan struktur data. Kami juga menyelidiki bagaimana konsep-konsep ini diimplementasikan dalam bahasa pemrograman modern dan arsitektur komputer. Dengan memahami fondasi matematis ini, kita dapat lebih menghargai kompleksitas dan keajaiban di balik teknologi komputasi modern.

This research is aim to describe the difficulties in learning and solving Algebra problems experienced by class VII Students of SMP Negeri 7 Cimahi. This research method uses a descriptive method with a qualitative approach. The subjects used in this research were five Students of class VII H who were randomly selected, and the teacher concerned. The instrument used in this study were written tests, questionnaires and interview guides. The results of this research indicate the various difficulties experienced by Students and the factors that cause them. These difficulties include difficulties in identifying coefficients, determining like terms, and performing various arithmetic operations in Algebraic forms. The factors that cause Student difficulties are divided into two, namely internal and external factors. The internal factor is that Students don't understand the concept and don't master arithmetic operations on integers, while the external factor is the lack of Interest, talent and motivation of Students in learning Algebra.

Aljabar memiliki peran penting dalam kehidupan sehari – hari di masyarakat, sebab aljabar memberikan metode untuk memecahkan persamaan dan mengekspresikan rumus yang lebih mudah (bagi mereka yang memahami konsepnya) daripada metode konvensional, yaitu menulis semuanya dalam kata-kata.Salah satu peran Aljabar dalam kehidupan sehari-hari adalah untuk menentukan harga jual dalam berdagang.Penerapan aljabar pada  perdagangan digunakan untuk menghitung besar kemungkinan keuntungan dan kerugian yang didapat, serta dapat menentukan jumlah modal yang dibutuhkan untuk membeli dan menjual barang tersebut. Teknik pengumpulan data yang digunakan pada penelitian ini adalah metode deskriptif, yaitu dengan mewawancarai narasumber yakni beberapa pedagang ayam geprek yang ada di wilayah kelurahan Gegerkalong. Adapun hasil dari penelitian ini bahwa mengenai metode yang dipakai oleh para pedagang untuk menentukan harga jual, para pedagang umumnya menggunakan cara yang sama yang didasarkan pada tiga faktor utama. Yaitu : berdasarkan harga kompetitor dan pasar ; penentuan harga secara dinamis ; dan menghitung harga dasar. Nyatanya para pedagang tidak menyadari bahwa metode yang mereka pakai adalah metode perhitungan aljabar. Hal ini disebabkan para pedagang yang kurang mengetahui dan memahami tentang materi aljabar.

Tujuan penelitian ini adalah membandingkan pemahaman siswa terhadap media pembelajaran yang digunakan serta mengetahui kelebihan dan keunggulan dari masing-masing media dalam proses pembelajaran di SMAN 1 Cisarua. Jenis penelitian yang peneliti lakukan adalah metode eksperimen, yang berbentuk intact group comparison. Subjek dalam penelitian ini adalah siswa kelas XI MIPA di SMAN 1 Cisarua sebanyak 30 orang di kelas berbeda dengan materi ajar yang sama. Analisis data yang digunakan adalah analisis kuantitatif atau analisis statistik.. Berdasarkan hasil pengamatan lapangan metode yang disampaikan adalah metode pembelajaran menggunakan media bacaan dan media video animasi. Pada saat eksperimen metode pembelajaran yang menggunakan media video animasi lebih unggul dibandingkan menggunakan media bacaan. Penggunaan metode yang menggunakan video animasi menghasilkan nilai rata-rata kelas yang memenuhi standar ketuntasan sekolah. Sedangkan penggunaan metode video bacaan menghasilkan nilai rata-rata kelas yang tidak memenuhi standar ketuntasan sekolah.

Kesalahan-kesalahan yang dilakukan oleh siswa tidak diketahui pasti apa saja bentuk kesalahannya. Oleh karena itu kesalahan-kesalahan tersebut perlu diidentifikasi melalui hasil jawaban siswa dalam menyelesaikan soal cerita bentuk aljabar dan ditinjau apakah siswa memahami maksud soal, apakah siswa dapat menyusun rencana penyelesaiannya, apakah siswa dapat melaksanakan rencana penyelesaiannya dan apakah siswa memeriksa kembali jawaban akhir untuk menentukan kesimpulan. Dalam penelitian ini diperoleh kesalahan berdasarkan langkah penyelesaian Polya, kesalahan yang paling sering dilakukan oleh siswa adalah kesalahan melaksanakan rencana penyelesaian dengan persentase 52,94%, disusul oleh kesalahan memeriksa kembali jawaban akhir dengan persentase 50,98%, selanjutnya kesalahan berdasarkan langkah memahami masalah dengan persentase 23,52%, dan terakhir yaitu kesalahan menyusun rencana dengan persentase 21,56%.

Tujuan penelitian ini adalah untuk membandingkan hasil belajar siswa yang diajarkan menggunakan model pembelajaran kooperatif tipe Teams Games Tournament dan hasil belajar siswa yang diajarkan menggunakan model pembelajaran konvensional pada materi Bentuk Aljabar. Metode penelitian yang digunakan adalah penelitian eksperimen semu. Populasinya adalah seluruh siswa kelas VII SMP Negeri 6 Tondano tahun ajaran 2019/2020. Sampel dalam penelitian ini adalah siswa kelas VII A dan siswa kelas VII B. Hasil penelitian mengungkapkan bahwa hasil belajar siswa yang diajarkan menggunakan model pembelajaran kooperatif tipe Teams Games Tournament lebih tinggi dari pada hasil belajar siswa tanpa menggunakan model pembelajaran kooperatif tipe Teams Games Tournament pada materi Bentuk Aljabar. Direkomendasikan bagi calon peneliti selanjutnya untuk meneliti kembali kelayakan penggunaan model pembelajaran kooperatif tipe Teams Games Tournament pada materi Bentuk Aljabar.  

Matematika secara garis besar dibedakan menjadi dua, yaitu matematika terapan (applied mathematics) dan matematika murni (pure mathematics). Matematika terapan mempunyai pengertian bahwa matematika digunakan diluar matematika. Matematika terapan berperan dan membantu menyelesaikan masalah-masalah di dunia nyata yang akan diselesaikan dalam sistemnya dan memenuhi kebutuhan ilmu-ilmu dalam pengembangannya. Banyak ilmuwan yang mengkaji matematika untuk dapat dimanfaatkan dalam bidang lain. Sedangkan matematika murni berperan sebagai ratu yang mempercantik dirinya melalui rancangan-rancangan definisi, teorema yang terstruktur secara sistematis. Teori Aljabar Linier  merupakan cabang dari matematika terapan. Aljabar Linier mempunyai penerapan pada berbagai bidang ilmu alam dan ilmu sosial serta teknologi khususnya teknologi Informasi dan komunikasi (infokom) yang saat ini sedang berkembang pesat. Ilmu yang dipelajari pada materi Aljabar Linier salah satunya yaitu Sistem Persamaan Linier. Adapun salah satu metode yang dapat digunakan untuk mencari nilai variabel adalah Aturan Cramer