Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika
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Pemodelan Matematika dalam Mengoptimalkan Hasil Produksi pada Toko Yani Cake di Kabupaten Klaten dengan Metode Big M
No full textTo improve community income and welfare, there needs to be direct involvement in economic development. The community can participate actively through engagement in Micro, Small, and Medium Enterprises. One of the challenges faced by Micro, Small, and Medium Enterprises, particularly in the culinary sector such as Yani Cake Shop in Klaten Regency, is making optimal production decisions given limited available resources. This study aims to optimize the daily production output of the six most popular types of cookies sold at the shop by using a mathematical modeling approach through the Big M method. The model is formulated based on an objective function to maximize daily revenue and constraint functions that represent the limitations of raw material stock and minimum production targets. Data were collected through direct interviews and processed using the PM Calculators website. As a result, the optimal daily production combination consists of 4 batches of nastar, 2 of putri salju, 2 of kastengel, 2 of donut cookies, 1 of lidah kucing, and 2 of peanut cookies, yielding an optimal sales value of IDR 2,155,000 per day. Additionally, a sensitivity analysis was conducted to assess the impact of changes in prices and raw material availability on the optimal solution
Profil Kemampuan Technological Pedagogical Content Knowledge (TPACK) Guru pada Pembelajaran Matematika
No full textThis study aims to examine the profile of teachers’ Technological Pedagogical Content Knowledge (TPACK) in mathematics instruction. The type of research employed is qualitative with a descriptive approach. The research subjects consisted of two Grade VIII mathematics teachers at UPT SMPN 2 Takalar. The instruments used for data collection included a self-assessment questionnaire, observation sheets, field notes, and interview guidelines. The data analysis techniques consisted of: (1) data organization, (2) data presentation, and (3) conclusion drawing. Data validity was ensured through source and technique triangulation. The results of the study indicate that the mathematics teachers’ TPACK is at a very good level, particularly in the areas of developing teaching modules, assessment, classroom management, selecting appropriate technology or instructional media, mastering subject matter, and integrating technological, pedagogical, and content aspects. However, in terms of implementation, several areas need improvement. These include deficiencies in the components of the teaching modules, teaching practices that are not fully aligned with the prepared modules, and instructional methods and strategies that have not been fully optimized to support the effectiveness of learning and students\u27 understanding of statistical content. The process of guiding discussions and question-and-answer sessions needs to be further optimized to encourage more active student participation and promote independent understanding. While the teachers have demonstrated the ability to use technological, pedagogical, and content knowledge separately, there is still a need to enhance the integration of all three components simultaneously in the learning process
Pengaruh Penerapan Model PjBL dengan Pendekatan STEM Terhadap Peningkatan Kemampuan Berpikir Kreatif Matematis Siswa pada Materi Bangun Ruang Sisi Lengkung di SMP
No full textThis study aims to examine the effectiveness of implementing the Project-Based Learning (PjBL) model with a STEM approach in enhancing students\u27 mathematical creative thinking skills on the topic of curved-surface solids. The method used is a pre-experimental design with a one-group pretest-posttest design, involving 33 students from Class IX.7 at SMP Negeri 1 Pinrang. Data were collected through creative thinking ability tests, student response questionnaires, and observation sheets of the learning implementation. The results showed a significant improvement in students’ mathematical creative thinking abilities after the application of the PjBL-STEM model, with the average score increasing from 40.58 to 83.23 and an average N-Gain score of 0.71. A total of 60.61% of students reached the "very creative" category, while 39.39% were in the "creative" category. The paired sample t-test revealed a significant difference between pretest and posttest scores (p < 0.05). Thus, the integration of the PjBL model with the STEM approach proved to be effective in improving students’ mathematical creativity through contextual, collaborative, and meaningful project-based learning. 
The The Effect of The Problem Based Learning Model Integrated with Culturally Responsive Teaching on The Numeracy Skills and Mathematical Dispositions
No full textThis study analyzes the effectiveness of implementing Culturally Responsive Teaching (CRT) within a Problem Based Learning (PBL) framework in mathematics instruction at SMP Negeri 2 Takalar and examines its impact on students’ numeracy skills and mathematical dispositions. This research employed a pre-experimental one-group pretest–posttest design involving 28 eighth-grade students, using numeracy tests, classroom observations, student response questionnaires, and mathematical disposition scales as instruments. The findings show that CRT was implemented effectively through the integration of local cultural contexts, inclusive interactions, and active student participation. Students’ numeracy skills improved significantly, with posttest scores surpassing the Minimum Mastery Criteria (KKM) and N-Gain values falling within the medium to high categories. Student activity levels were categorized as active, responses were positive, and mathematical dispositions increased to the medium category. These results indicate that the application of CRT contributes to enhancing students’ numeracy skills and supports mathematics learning that is more meaningful, contextual, and culturally grounded
Komposisi Fungsi Nonlinier Antar Ruang Vektor Berdimensi Tinggi Dalam Arsitektur Neural Network
No full textPenelitian ini menyajikan pendekatan konseptual dan eksperimental dalam memodelkan jaringan saraf tiruan (neural network) sebagai suatu transformasi nonlinier berlapis antar ruang vektor berdimensi tinggi. Dengan mendasarkan pada kerangka matematis komposisi fungsi linier dan aktivasi nonlinier, studi ini memetakan bagaimana representasi data secara spasial berubah melalui setiap lapisan jaringan. Menggunakan data sintetis berdimensi tinggi dan arsitektur multilayer perceptron (MLP), transformasi internal jaringan dianalisis baik secara visual melalui proyeksi PCA dan t-SNE, maupun secara kuantitatif melalui pengukuran perubahan metrik spasial. Hasil eksperimen menunjukkan bahwa jaringan saraf tidak hanya berfungsi sebagai aproksimator fungsi, tetapi juga secara aktif membentuk ulang geometri manifold data untuk meningkatkan keterpisahan antar kelas. Fungsi aktivasi seperti ReLU dan tanh terbukti memiliki dampak signifikan terhadap struktur representasi, dengan ReLU menghasilkan sparsifikasi spasial yang lebih kuat. Temuan ini mendemonstrasikan bahwa pemahaman terhadap dinamika spasial dalam neural network dapat memberikan fondasi yang lebih transparan dalam interpretasi model, serta membuka arah baru dalam riset interpretabilitas deep learning berbasis pendekatan matematis dan geometris
Kemampuan Berpikir Kritis Siswa Kelas VIII Ditinjau Dari Adversity Quotient (AQ)
No full textRendahnya kemampuan berpikir kritis pada siswa kelas delapan SMPN 3 Pariaman menjadi pendorong peneliti dalam melakukan penelitian ini. Masalah lainnya yaitu terdapat perbedaan dalam cara siswa menyikapi tantangan berpikir kritis. Tujuan penelitian ini yaitu untuk mengetahui kemampuan berpikir kritis siswa kelas delapan SMPN 3 Pariaman ditinjau dari adversity quotient (AQ). Penelitian ini menggunakan jenis penelitian dengan pendekatan kualitatif. subjek penelitian ini yaitu 3 orang siswa yang dipilih dengan cara purposive sampling yang memiliki AQ yang berbeda-beda, yaitu 1 subjek dengan AQ tipe quitter, 1 subjek dengan AQ tipe camper dan 1 subjek dengan AQ tipe climber. Instrumen yang digunakan adalah instrumen utama yaitu peneliti dan instrument pendukung yaitu soal tes kemampuan berpikir kritis dan pendoman wawancara. Teknik analisis data yang digunakan yaitu reduksi data, penyajian data serta penarikan kesimpulan. Hasil penelitian yaitu kemampuan berpikir kritis siswa ditinjau dari adversity quotient, subjek dengan AQ tipe quitter mampu memenuhi 1 indikator kemampuan berpikir kritis yaitu interpretasi. Subjek dengan AQ tipe camper mampu memenuhi 3 indikator kemampuan berpikir kritis yaitu interpretasi, evaluasi dan inferensi. Subjek dengan AQ tipe climber mampu memenuhi semua indikator kemampuan berpikir kritis yaitu interpretasi, analisis, evaluasi dan inferensi
Systematic Literature Review: Tren Penelitian Problem Based Learning dalam Meningkatkan Kemampuan Pemecahan Masalah Matematis
No full textProblem-solving ability is an essential competency in mathematics learning because it forms the foundation for developing critical, logical, and innovative thinking skills. Therefore, research on its development is of great importance. This study aims to systematically describe research trends in the application of the Problem-Based Learning (PBL) model to improve students’ mathematical problem-solving skills. The approach used is a Systematic Literature Review (SLR) following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines. A total of 25 articles that met the inclusion and exclusion criteria were analyzed based on publication year, educational level, research subjects, and research methods. The findings show that publications from 2021 to 2025 fluctuate, with 2 (8%), 7 (28%), 5 (20%), 8 (32%), and 3 (12%) articles, respectively. Based on the educational level, 9 (36%) studies were conducted at the elementary level, 10 (40%) at the junior high school level, 5 (20%) at the senior high school/vocational level, and 1 (4%) at the university level. Regarding research subjects, 24 (96%) articles involved students and 1 (4%) involved university students. In terms of methodology, quantitative research was more dominant than qualitative, with 17 (68%) using quantitative approaches and 8 (32%) using qualitative ones. Overall, the SLR results indicate that studies on the implementation of the PBL model in mathematical problem-solving are predominantly quantitative, mostly conducted at the elementary and junior high school levels, and exhibit fluctuating publication trends from 2021 to 2025. Future research is recommended to expand educational levels, diversify research subjects, and combine various methodological approaches for more comprehensive findings
Pengaruh Penerapan Model Pembelajaran Kooperatif Tipe Round Robin dengan Pendekatan Matematika Realistik Terhadap Hasil Belajar Matematika Siswa
No full textPenelitian ini bertujuan untuk mengetahui pengaruh penerapan model pembelajaran kooperatif tipe round robin dengan pendekatan matematika realistik terhadap hasil belajar matematika siswa. Urgensi penelitian ini didasarkan pada rendahnya hasil belajar matematika siswa Indonesia yang ditunjukkan oleh studi internasional seperti PISA dan TIMSS, serta masih dominannya pembelajaran yang berpusat pada guru sehingga siswa kurang aktif dan kesulitan memahami konsep matematika secara mendalam. Penelitian ini merupakan penelitian pra-eksperimen dengan desain one group pretest-posttest design. Populasi penelitian ini adalah seluruh siswa Kelas X SMAN 2 Bulukumba. Teknik pengambilan sampel dilakukan dengan cluster random sampling menggunakan aplikasi spinner untuk mengundi kelas dari sembilan kelas yang ada, dan hasil undian menetapkan Kelas X-6 sebagai kelas eksperimen. Teknik analisis data yang digunakan adalah analisis statistik deskriptif dan analisis statistik inferensial. Hasil analisis statistik deskriptif menunjukkan peningkatan hasil belajar siswa dengan rata-rata posttest sebesar 84,81 (kategori tinggi) dan gain ternormalisasi sebesar 0,7 (kategori tinggi). Sementara itu, ketuntasan klasikal mencapai 96,29%, melebihi target kriteria ketuntasan minimal sebesar 75%. Uji hipotesis menggunakan one sample t-test dan proportion test mengonfirmasi bahwa hasil belajar mengalami peningkatan signifikan (Sig. < 0,05). Dengan demikian, model pembelajaran kooperatif tipe round robin dengan pendekatan matematika realistik terbukti berpengaruh positif terhadap hasil belajar matematika siswa. Oleh karena itu, disarankan agar guru menerapkan model ini sebagai alternatif strategi pembelajaran matematika yang kontekstual, dan penelitian lanjutan dapat mengembangkan media atau modul berbasis model tersebut untuk materi lain
Respon Siswa terhadap Penggunaan Missouri Mathematics Project dengan Pendekatan Problem Solving dalam Pembelajaran Matematika
No full textAnggapan bahwa mata pelajaran matematika sulit dan membosankan masih menjadi masalah umum di Indonesia. Salah satu penyebabnya adalah kurangnya variasi metode pembelajaran yang mampu menumbuhkan pengalaman belajar yang menyenangkan. Penerapan MMP dengan Problem Solving diharapkan dapat mengatasi hal tersebut dengan menghadirkan pembelajaran yang bermakna dan kontekstual. Penelitian ini bertujuan menggambarkan dan menganalisis respon siswa terhadap penerapan model pembelajaran Missouri Mathematics Project (MMP) yang dipadukan dengan pendekatan problem solving dalam pembelajaran matematika. Struktur MMP meliputi review, development, controlled practice, seatwork, hingga assignment. Sementara itu, pendekatan problem solving focus pada pemecahan masalah nyata sehingga siswa terbiasa berpikir kritis dan kreatif. Metode penelitian ini adalah kualitatif dengan pendekatan deskriptif. Subjek penelitian terdiri atas 20 siswa kelas VIII di SMP Negeri 1 Marioriawa. Data dikumpulkan melalui observasi, wawancara mendalam, serta dokumentasi, dan dianalisis dengan reduksi data, penyajian data, serta penarikan kesimpulan. Hasil penelitian menunjukkan bahwa respon siswa bersifat positif. Siswa lebih aktif dan berani mengemukakan pendapat, aktivitas kelompok membantu siswa berpikir kritis dan menyelesaikan masalah secara kolaboratif, pembelajaran menjadi lebih bermakna karena siswa terlibat langsung dalam pemecahan masalah nyata. Beberapa siswa masih mengalami kesulitan memahami langkah-langkah problem solving secara sistematis, namun mereka menunjukkan antusiasme tinggi untuk belajar. Dengan demikian, penerapan model MMP dengan pendekatan problem solving efektif untuk meningkatkan keterlibatan siswa dalam pembelajaran matematika
Analysis of The Need for Electronic Teaching Materials on the Topics of Relations and Function for Grade VIII
No full textTeaching materials are an essential component in conveying knowledge to students during the learning process. The optimal use of teaching materials can be achieved if they are designed according to the characteristics and needs of the students. This study aims to analyze the need for electronic teaching materials on the topic of relations and functions that align with student characteristics, as well as to serve as a reference in developing effective electronic-based mathematics teaching materials to enhance students\u27 learning motivation. This research is qualitative in nature, using a descriptive qualitative research method. The research subjects are eighth-grade students and mathematics teachers at a public junior high school in Purbalingga Regency. The research instruments include the researcher, observations during the learning process, a student needs analysis questionnaire validated by content experts, and interview guidelines for both students and mathematics teachers. The stages of analysis involve data collection, reduction, presentation, and drawing conclusions. Based on the research findings, it can be concluded that the use of electronic teaching materials on relations and functions is crucial to meet students\u27 learning needs. This study is expected to serve as a reference in the development of electronic teaching materials on the topic of relations and functions in the future