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The criterion for students who have been able to think critically is when they can think systematically, besides having awareness in thinking, then they can see the difference between mistakes and truths. The purpose of this research is to measure the extent of students' ability to think critically on the completion of Higher Order Thinking Skill (HOTS) questions, especially in the subject of mathematics and social arithmetic material for grade VII students. This research is classified as qualitative descriptive research. The subjects involved were 6 students in grade VII D SMPN 3 Ngawi. The method used is qualitative descriptive with data analysis techniques using models from Miles & Huberman. Meanwhile, at the time of data collection, the instrument was in the form of 2 HOTS questions that were in accordance with the research subject. In data collection using tests and interviews, tests are used to measure cognitive competence while interviews are used as a follow-up to explore in depth related to students' answers. Based on a series of research processes, it can be proven that the students studied are divided into 3 categories of ability, namely low, medium, and high.

Science learning in elementary schools, especially regarding the material on changes in the state of matter, requires media that can present concepts in a concrete and interesting way so So that it is easy for students to understand. This research aims to develop a science learning medium about changes in the states of matter through BrainPOP animated videos equipped with interactive questions for fourth-grade elementary school students, and to evaluate the level of feasibility and studentThis research focuses on students’ feedback toward the developed learning media. It adopts a The research and development (R&D) methodology based on the ADDIE model includes steps such as needs analysis, instructional design, product development, implementation, and evaluation. The students involved in the research were in fourth grade  elementary school students, fourth-grade teachers, and validators from material experts and media experts. The process of data collection involved multiple methods such as direct observation, in-depth interviews, and the distribution of questionnaires obtained were analyzed using quantitative and qualitative descriptive techniques. The results of the study indicate that the developed learning media is classified as very feasible based on validation provided by material experts and media experts. In addition, the results of limited trials indicate that students gave a very positive response to the use of these learning media. Therefore, science learning media based on BrainPOP animated videos and interactive questions can be considered a feasible alternative to increase the interest and understanding of fourth-grade elementary school students.

The quality of assessment instruments plays an important role in determining the accuracy of measuring student learning outcomes in science learning in elementary schools. A good test instrument must meet certain criteria, such as validity, reliability, difficulty level, and discrimination power. This study aims to analyze the quality of daily science test items in grade VIc elementary schools based on these four criteria. The study used a quantitative. The subjects were 19 sixth-grade students, while the instrument analyzed consisted of 25 multiple-choice questions. Data processing and analysis were carried out using Microsoft Excel to calculate item validity through item correlation with total score, test reliability using internal consistency, difficulty level index, and discrimination index. The analysis results showed that 17 questions (68%) were declared valid, while 8 questions (32%) were invalid and needed to be improved. The results of the reliability test indicated that the test instrument had good reliability and was suitable for use as a measuring tool for student learning outcomes. Judging from the level of difficulty, 20 questions (80%) were moderate and 5 questions (20%) were easy, indicating a relatively balanced level of difficulty. Based on the discrimination power, 16 questions (66%) had very good discrimination power, 4 questions (16%) were good, 4 questions (16%) were sufficient, and 1 question (4%) was poor. Based on these findings, it can be concluded that the quality of the sixth grade science daily test questions is classified as good and the test instrument is suitable for use, but improvements are still needed on invalid questions and those with low discrimination power so that the quality of the assessment is more optimal. This study emphasizes the importance of teachers' abilities in compiling and analyzing test items to ensure that the assessment of science learning is objective, valid, and reliable.

Problem solving in permutation and combination requires the ability to understand context, choose strategies, and perform calculation procedures accurately. Based on the analysis of students' answers, it was found that difficulties arose consistently at each stage of problem solving according to Polya, namely the problem understanding stage, the planning stage, the plan implementation stage, and the rechecking stage. In general, students' weaknesses are not only related to their understanding of permutation and combination concepts, but also to their inability to apply problem-solving steps systematically. The results of the study indicate the need for a learning approach that not only focuses on mastering formulas, but also strengthens problem literacy, the ability to identify relevant information, and the selection of solution strategies appropriate to the characteristics of the problem. In addition, the habit of reflection through reviewing the process and results of the solution needs to be developed consistently so that students are able to recognize mistakes and improve their accuracy in solving permutation and combination word problems in a more accurate, logical, and structured manner.

Penelitian ini dilatarbelakangi oleh munculnya persoalan yuridis dalam pelaksanaan mekanisme Agunan yang Diambil Alih (AYDA) oleh perbankan, terutama terkait validasi Pajak Penghasilan atas Pengalihan Hak atas Tanah dan/atau Bangunan (PPh TB). Kasus BPR RAY memperlihatkan kebuntuan administratif akibat penolakan validasi pajak oleh DJP, yang menimbulkan ketidakpastian hukum dalam penyelamatan kredit bermasalah. Rumusan masalah mencakup: (1) bentuk pertentangan norma antara POJK 33/2018 dan PMK 261/2016; (2) penyebab disharmonisasi norma; dan (3) akibat hukumnya terhadap pelaksanaan AYDA. Penelitian ini bertujuan mengidentifikasi bentuk, penyebab, dan akibat hukum dari disharmonisasi tersebut. Metode yang digunakan ialah yuridis normatif dengan spesifikasi deskriptif-analitis melalui studi pustaka dan wawancara. Hasil penelitian menunjukkan bentuk pertentangan antara PMK 261/2016 yang mengedepankan pendekatan formal kepemilikan dan POJK 33/2018 yang menekankan substansi penguasaan aset. Disharmonisasi ini disebabkan oleh pengambilalihan AYDA secara sukarela, penafsiran subjek pajak penghasilan, serta ketiadaan regulasi penghubung antarregulator. Akibat hukum disharmonisasi ini terjadi di sektor perbankan, perpajakan dan pertanahan. Hasil penelitian kemudian dianalisis menggunakan teori sistem hukum, teori hukum responsif dan teori keadilan distributif. Dari hasil penelitian ini dapat disimpulkan disharmonisasi norma menimbulkan hambatan dalam praktik AYDA dan menimbulkan akibat hukum di berbagai sektor. Di akhir, peneliti memberikan saran akademik mendorong penelitian AYDA yang multi kasus dengan teori hukum yang lebih variative. Untuk saran praktis penelitian ini menegaskan pentingnya harmonisasi antar regulator sehingga pengaturan AYDA tidak saling bertentangan. Beban pajak sebaiknya disesuaikan dengan prinsip keadilan dan kemampuan membayar. BPR maupun masyarakat dapat menempuh judicial review ke Mahkamah Agung untuk menjamin kepastian hukum dan keseragaman tafsir regulasi

Penelitian ini membahas kekuatan hukum akta perjanjian kerja sama yang dibuat di bawah tangan antara Rumah Sakit Bethesda Yogyakarta dan Yakes Telkom Area Jawa Tengah–DIY. Perjanjian ini menimbulkan persoalan hukum ketika terjadi wanprestasi berupa keterlambatan penagihan sebesar Rp5.962.000 pada periode Juni–Agustus 2023. Permasalahan yang dikaji meliputi: (1) kekuatan hukum akta bawah tangan dalam perspektif hukum perdata, (2) efektivitas pembuktian akta bawah tangan dibandingkan akta otentik serta implikasinya terhadap penyelesaian sengketa dan (3) perlindungan hukum bagi pihak yang dirugikan. Metode yang digunakan adalah penelitian hukum normatif dengan pendekatan perundang-undangan, konseptual, dan kasus. Data diperoleh dari bahan hukum primer, sekunder, dan tersier, kemudian dianalisis secara kualitatif. Hasil penelitian menunjukkan bahwa akta bawah tangan sah menurut Pasal 1320 KUH Perdata, namun memiliki kelemahan pembuktian karena mudah disangkal dan tidak memiliki kekuatan eksekutorial. Perlindungan hukum tetap tersedia bagi pihak yang dirugikan, tetapi prosesnya lebih kompleks di pengadilan. Kesimpulan penelitian ini menegaskan pentingnya penggunaan akta otentik melalui notaris agar perjanjian kerja sama memperoleh kekuatan pembuktian sempurna, kepastian hukum, serta perlindungan lebih kuat bagi para pihak

Penelitian ini bertujuan untuk menganalisis kedudukan Dewan Perwakilan Rakyat (DPR) dalam perspektif norma dan konstitusi, mengidentifikasi penyebab krisis kepercayaan publik, serta menegaskan urgensi penguatan peran wakil rakyat dalam sistem ketatanegaraan Indonesia. Metode yang digunakan adalah studi literatur dengan pendekatan normatif-yuridis melalui telaah terhadap UUD 1945, peraturan perundang-undangan, literatur akademik, dan laporan survei kepercayaan publik. Hasil penelitian menunjukkan bahwa krisis kepercayaan publik terhadap DPR disebabkan oleh kesenjangan antara norma konstitusional yang menempatkan DPR sebagai representasi rakyat dan praktik politik yang terjadi. Untuk mengatasi persoalan tersebut, DPR perlu memperkuat posisinya dengan menegakkan prinsip akuntabilitas, transparansi, dan integritas. Penguatan ini diperlukan guna memulihkan legitimasi publik, memperkuat kualitas demokrasi, dan memastikan DPR menjalankan fungsi konstitusionalnya secara optimal.

This study aims to analyze the errors made by eleventh-grade students of SMA Swasta Eria in solving word problems related to quadratic equations and quadratic function graphs using Newman’s error taxonomy. The research employed a descriptive qualitative method involving 25 students who were given essay-type tests to measure both conceptual understanding and problem-solving skills. Data were collected from students’ written answers and analyzed according to Newman’s stages, which include reading, comprehension, transformation, process skills, and encoding. The findings reveal that errors occurred across all stages, with transformation errors and encoding errors being the most dominant. These mistakes generally stemmed from students’ inability to extract key information into correct mathematical models, inaccuracies in arithmetic operations, and insufficient understanding of fundamental quadratic concepts and their graphical representations. The results highlight the importance of instructional approaches that emphasize conceptual understanding, varied practice problems, and proper mathematical notation. Regular application of Newman’s error analysis is expected to help teachers provide more targeted feedback and improve students’ problem-solving abilities.

This study aims to describe the mathematical literacy skills of vocational high school students in solving statistics problems with the help of Microsoft Excel based on digital literacy levels, which are grouped into high, medium, and low. The background of this study is based on the importance of mathematical literacy in dealing with everyday problems and the demands of the world of work, as well as the increasing need for digital literacy mastery in the information technology era. Both are essential competencies that support each other, especially in technology-based mathematics learning. The research approach used is descriptive qualitative with a purposive sampling technique, where the selection of subjects is based on the results of the digital literacy questionnaire, equivalence of mathematics scores, and adequate communication skills to support the interview process. The research instruments include a digital literacy questionnaire, a mathematical literacy test in the form of descriptive questions completed using Microsoft Excel, and interview guidelines that have been validated by experts. The data collection procedure was carried out through tests and in-depth interviews, while data analysis included the stages of data reduction, data presentation, and drawing conclusions. The results of the study indicate differences in students' mathematical literacy skills based on their digital literacy levels. Students with high digital literacy are able to master mathematical literacy indicators well, including communication, mathematization, problem-solving strategies, and reasoning and argumentation. They can optimally utilize Microsoft Excel features to present data, perform calculations, and draw logical conclusions. Students with moderate digital literacy demonstrate fairly good mastery, but still experience difficulties in aspects of problem-solving strategies and in-depth reasoning. Based on these findings, it can be concluded that digital literacy plays a crucial role in supporting students' mathematical literacy abilities.  

This study aims to describe the understanding of high school students in solving high, medium, and low category HOTS (Higher Order Thinking Skills) problems and to explore the students' responses in solving problems related to the material of SPLTV (System of Linear Equations with Three Variables). This research is qualitative in nature, using a descriptive method. The subject selection technique used purposive sampling, involving three students from class X IPA/IPS SMAIT Nurul Fajri, with a total of 19 students. The data collection techniques included written tests on mathematical concept understanding using HOTS, interviews, and documentation. Based on the research results, it was found that the students' understanding of mathematical concepts in solving HOTS problems varied. The subject NF-17, with high ability, was able to answer well, including restating the concepts studied in problems 1, 2, and 4, classifying objects based on concepts, applying concepts algorithmically, relating various mathematical concepts internally or externally, providing examples or counterexamples, and presenting concepts in various representations in problems 1, 3, and 4. The subject NF-18, with medium ability, showed more limited results. Although able to restate concepts in problem 4, this subject could only classify objects based on concepts and apply concepts algorithmically in problems 1 and 4. This subject could only provide examples or counterexamples in problem 1. The subject NF-10, with low ability, was only able to restate concepts studied in problem 1 and did not show more in-depth understanding in other problems. These findings indicate variations in students' understanding of mathematical concepts in the SPLTV material.

This study aims to describe students' critical thinking skills in solving social arithmetic problems based on the Polya stages and FRISCO indicators. The research subjects consisted of three students in grade VIII R-5 MTs Nurul Jadid who were purposively selected to represent the high, medium, and low ability categories out of a total of 21 students. The research method used was a descriptive qualitative approach with instruments in the form of two social arithmetic description questions and semi-structured interview guidelines. Data analysis was carried out by referring to the four stages of problem solving according to Polya (understanding the problem, planning the solution, executing the plan, and re-examination) as well as the six FRISCO critical thinking indicators (Focus, Reason, Inference, Situation, Clarity, Overview). The results of the study showed that students with high abilities were able to solve problems systematically through all stages of Polya and met almost all FRISCO indicators, especially in the aspects of Focus, Reason, and Clarity. Students with moderate ability show sufficient understanding but are inconsistent in planning and implementing solutions, and experience difficulties in the Reason, Situation, and Overview indicators. Students with low abilities experience obstacles from the early stages of understanding problems and do not show significant indicators of critical thinking. These findings indicate that the Polya stage and the FRISCO indicator can be used in a complementary manner to identify and analyze students' critical thinking skills in solving contextual math problems. The implication of this study is the need for a learning strategy that emphasizes strengthening the stages of problem solving and developing explicit critical thinking indicators in the mathematics learning process. This research also opens up opportunities for the development of more structured diagnostic instruments in measuring students' individual critical thinking skills.

Penelitian ini bertujuan mendeskripsikan kemampuan berpikir kreatif matematis siswa kelas VII SMP Al Farabi pada materi geometri. Penelitian ini menggunakan pendekatan deskriptif kualitatif dengan melibatkan seluruh siswa kelas VII sebanyak 71 orang. Data diperoleh melalui tes tertulis berupa empat soal terbuka berbasis geometri yang dirancang untuk menggali empat indikator berpikir kreatif, yaitu kelancaran (fluency), keluwesan (flexibility), keaslian (originality), dan elaborasi. Hasil analisis menunjukkan kemampuan berpikir kreatif siswa tergolong “baik” pada setiap indikator, dengan skor tertinggi pada keluwesan (75,35%) dan terendah pada keaslian (61,27%). Temuan ini menunjukkan bahwa meskipun siswa telah memiliki kemampuan berpikir kreatif yang cukup baik, pengembangan ide-ide orisinal masih perlu ditingkatkan. Hasil penelitian ini diharapkan menjadi bahan masukan bagi guru untuk merancang strategi pembelajaran yang lebih relevan dan mendukung pengembangan kreativitas siswa

Kemajuan teknologi telah menciptakan peluang baru dalam bidang pendidikan, terutama bagi anak usia dini. Penelitian ini mengembangkan sebuah game edukatif berbasis Android yang ditujukan untuk anak berusia 4 hingga 6 tahun, dengan materi pengenalan huruf, angka, buah, dan hewan. Pengembangan aplikasi ini menggunakan model Waterfall yang mencakup analisis kebutuhan, perancangan, implementasi, pengujian, serta pemeliharaan. Game dirancang menggunakan Flutter dan bahasa Dart untuk menghasilkan tampilan yang interaktif dan responsif, serta dilengkapi dengan fitur audio-visual yang menarik. Berdasarkan hasil pengujian Blackbox dan User Acceptance Testing (UAT), sebanyak 87% anak menunjukkan ketertarikan terhadap game ini, dan 82% mampu mengingat materi yang disampaikan. Para guru juga memberikan respon positif, menilai permainan ini efektif sebagai media pembelajaran. Meski demikian, masih diperlukan penambahan variasi soal serta peningkatan kinerja aplikasi guna meningkatkan pengalaman pengguna secara keseluruhan.

Mathematics learning in Elementary School is very important to form logical, systematic, and critical thinking skills. Mathematics learning is closely related to numeracy literacy. At the elementary school level, especially grade 1, literacy and numeracy problems are increasingly visible when students are faced with mathematical story problems. In grade 1 of SDN 1 Pedawang, the results of daily tests and end-of-semester tests show that students' ability to solve story problems is still low. This study aims to analyze the difficulties of grade 1 students at SDN 1 Pedawang in understanding mathematical story problems due to low literacy and numeracy skills. This study uses a qualitative descriptive research type. The population of grade 1 students at SDN 1 Pedawang is 14 students, consisting of 9 female students and 5 male students. The subjects used were 2 students to be analyzed using purposive sampling techniques because they showed striking difficulties in understanding story problems based on observation results and low test scores. Data collection techniques through observation, interviews, and documentation. Data analysis techniques using the Miles and Huberman model which includes data reduction, data presentation, and drawing conclusions. The results of the study showed that students had difficulty in understanding mathematical story problems on five indicators according to Newman's theory, namely reading, understanding, transformation, process skills, and writing answers. The conclusion of this study shows that low literacy and numeracy of students are the main factors in the difficulty of understanding mathematical story problems.

Efficient resource allocation is a major challenge in various sectors, especially when faced with limitations in quantity, time, and cost. This study aims to examine the application of linear programming as an optimization method in solving assignment problems, where a number of resources must be optimally allocated to a number of specific tasks. Through a literature study approach, this study examines various relevant previous study results, especially in the Indonesian context. The results of the study indicate that linear programming is able to improve operational efficiency, reduce costs, and produce a more balanced task distribution. However, this model has limitations in dealing with non-linear conditions and data uncertainty, so integration with other methods such as fuzzy logic or genetic algorithms is needed. This study is expected to broaden the understanding of the benefits of linear programming and encourage its wider application in quantitative-based decision making.

Persoalan mengenai pembagian harta bersama pasca-perceraian masih dianggap tabu di tengah masyarakat, khususnya bagi pasangan suami istri yang telah bercerai. Rendahnya pemahaman terhadap ketentuan hukum mengenai harta bersama sering kali menyebabkan sulitnya pelaksanaan putusan pengadilan, yang pada akhirnya menimbulkan konflik karena pembagian yang dianggap tidak adil atau tidak sesuai kesepakatan. Penelitian ini mengangkat tiga rumusan masalah: (1) bagaimana ketentuan hukum mengenai harta bersama dan harta bawaan setelah perceraian; (2) bagaimana pertimbangan hukum hakim dalam Putusan Nomor 3067/Pdt.G/2021/PA.Bbs; dan (3) apa akibat hukum dari putusan tersebut terhadap pembagian harta bersama. Penelitian ini menggunakan metode yuridis normatif dengan spesifikasi deskriptif analitis dengan mengkaji peraturan perundang-undangan, literatur hukum, dan putusan pengadilan terkait. Hasil penelitian menunjukkan bahwa pembagian harta bersama telah diatur dalam Undang-Undang Perkawinan, KUH Perdata, dan Kompilasi Hukum Islam. Pasal 35 Undang-Undang Perkawinan menyatakan bahwa harta yang diperoleh selama perkawinan merupakan harta bersama, kecuali ditentukan lain melalui perjanjian pranikah atau pascaperkawinan. Dalam Putusan Nomor 3067/Pdt.G/2021/PA.Bbs, hakim membagi harta bersama secara proporsional, masing-masing pihak memperoleh ½ bagian berdasarkan alat bukti dan fakta yang terungkap di persidangan. Putusan ini menimbulkan akibat hukum yang signifikan, terutama dalam menentukan hak kepemilikan atas harta bersama yang diperoleh selama masa perkawinan.

This study examines the application of transportation problems in an effort to minimize goods transportation costs in various factories in Indonesia, using a Systematic Literature Review (SLR) approach. Transportation problems, as a part of operations research, focus on optimizing distribution costs from sources to destinations. In the industrial context, good planning and strategy are essential to save transportation costs and increase profits. This study analyzes ten relevant journals published between 2017 and 2025, exploring various methods such as the transportation model, North West Corner, Stepping Stone, and Vogel's Approximation Method (VAM), including its modification (MVAM), to achieve efficiency in logistics distribution. The results of the study indicate that the application of these methods significantly contributes to reducing operational costs, accelerating distribution processes, and increasing overall logistics effectiveness in the Indonesian manufacturing sector.

The research conducted at MAS Daarul Uluum Lido Bogor Jl. Mayjen Hr Edi Sukma KM 22, Ciburuy Village, Cigombong District, Bogor Regency, aims to analyze the level of Mathematical Problem Solving Ability in the Sequence and Series Material of Class 11 at MA Daarul Uluum Lido through Google Form Media. The research method used is qualitative research with the sampling technique used is purposive sampling. The target population in this study were all class 11 students at MAS Daarul Uluum Lido. The accessible population in this study was only class 11 D MIA MAS Daarul Uluum Lido students. The research sample was 6 students, consisting of 2 students with low-level mathematical problem solving abilities, 2 students with medium-level mathematical problem solving abilities and 2 students with high-level mathematical problem solving abilities. The data analysis technique was carried out descriptively qualitatively before and during the field, namely data reduction analysis, data presentation and drawing conclusions and data verification. Based on the results of the study, it can be concluded that students in the low category are 2 students with a percentage of 5.55%, 28 students with a percentage of 77.77% are in the medium category and 6 students with a percentage of 16.6% are in the high category. So the dominant ability of solving mathematical problems in the material of Sequences and series at MAS Daarul Uluum Lido is in the medium category with a percentage of 77.77%.

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 research aims to examine the learning methods and challenges faced by several students when solving mathematics problems regarding number patterns, with an emphasis on analyzing students' thinking processes. This study employs an approach to analyze students' ways of thinking. In this study, a qualitative approach is used with a case study method on a group of junior high school students. Information was collected through observations and analysis of students' work. The findings of the research indicate that students apply various strategies in understanding the material of number patterns, which include memorizing patterns to trying to find their own formulas. However, many students face difficulties in drawing conclusions about patterns and connecting relevant mathematical concepts to everyday life. Common mistakes include errors in recognizing patterns, errors in calculations, and a lack of precision in understanding problems. Analysis of the thinking process shows that some students are still at the concrete operational thinking level, so they need visual aids and real-life examples to better understand patterns. This research emphasizes the need for an approach in teaching that can enhance students' abstract thinking abilities and requires varied practice in determining numerical pattern problems.