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All Journal Proceedings of Annual International Conference Syiah Kuala University - Life Sciences & Engineering Chapter Proceedings of Annual International Conference Syiah Kuala University - Social Sciences Chapter Jurnal Pengajaran MIPA Elkawnie Jurnal Elemen Al-Jabar : Jurnal Pendidikan Matematika Jurnal Ilmiah Peuradeun Beta: Jurnal Tadris Matematika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Journal of Comprehensive Science Jumper : Journal of Educational Multidisciplinary Research Jurnal Natural International Journal of Trends in Mathematics Education Research (IJTMER) Jurnal Pendidikan Sains Indonesia (Indonesian Journal of Science Education) Limits: Journal of Mathematics and Its Applications Jurnal Didaktik Matematika
Said Munzir
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Religion Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Immunology & microbiology Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Neuroscience Physics Social Sciences Other

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Peningkatan Kemampuan Penalaran Matematis dan Kemandirian Belajar Siswa Madrasah Tsanawiyah (MTs) melalui Pendekatan Contextual Teaching and Learning (CTL) Nuridawani Nuridawani; Said Munzir; Saiman Saiman
Didaktik Matematika Vol 2, No 2 (2015): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

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Mathematical reasoning ability and self-regulated learning is one of the objectives of the mathematics learning that should be owned by the students. It is needed relevant learning approaches to develop and improve mathematical reasoning ability and self-regulated learning. One of the learning approaches is Contextual Teaching and Learning (CTL). The purpose of this study was to determine: the improvement of mathematical reasoning ability and self-regulated learning of students who obtain CTL approach and students who receive conventional learning. This study was an experimental research study designed by pretest-posttest control group design. The population of this study was all students of class VII MTsN Rukoh Banda Aceh. While the sample was composed of two classes, namely the experimental class and control class taken by random sampling. The instruments used to obtain research data were the form of mathematical reasoning ability tests and questionnaires of students learning independence. To see the difference in mathematical reasoning ability and self-regulated learning between CTL approach classesand conventional classes used the t-test at the 0.05 significance level. Based on this research, it was known that 1) the improvement of mathematical reasoning ability of studentsacquire learning CTL approach better than students who received conventional learning approaches; 2) the improvement of students independence learning gained CTL approach better than received conventional approaches. CTL approach in learning can affect the better ability of mathematical reasoning and self-regulated learning, in terms of quality there was a significant difference between students who are learning using CTL approach and using conventional learning.
Peningkatan Kemampuan Komunikasi dan Penalaran Matematis Siswa Madrasah Aliyah melalui Model Pembelajaran Kooperatif Tipe Nur Ainun; M. Ikhsan; Said Munzir
Didaktik Matematika Vol 2, No 1 (2015): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

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Abstract. Communication skills and mathematical reasoning is one of the objectives of the study of mathematics. Communication is defined as the ability to write, read, listen, examine, interpret, and evaluate ideas, symbols, terms, and mathematical information. Mathematical reasoning is a habit when the brain is well developed and consistent will facilitate the mathematical communicate both written and oral. Therefore, the necessary relevant learning models to optimize, improve, and develop communication and mathematical reasoning abilities of students. One of the cooperative learning models is Teams Games Tournament (TGT). The aim of this study to determine: (1) Is the increase in communication and mathematical reasoning abilities that students acquire learning with cooperative learning model TGT better than students who received conventional learning approaches, and (2) What is the attitude of students towards learning mathematics learning gain with cooperative learning model TGT. This research was experimental research design with pretest-posttest control group design. The population in this study was all students of class XI MAN Darussalam Aceh Besar, which consists of five classes. While the sample was composed of two classes of experimental classes and control classes were taken by random sampling. The instrument used to obtain research data communications test and mathematical reasoning ability, and attitude scale questionnaire. The statistical test used for the data mengalisis increase communication skills and mathematical reasoning was two lanes ANOVA test, while the attitude scale questionnaire was calculated based on a percentage. The results showed that the overall improvement of communication and mathematical reasoning abilities that students acquire learning with cooperative learning model Teams Games Tournament better than students who received study with conventional approaches. From the results of student questionnaire concluded that in general the students had the positive attitude towards learning mathematics using cooperative learning model TGT.Key Word: Learning TGT, Communication, Reasoning
Computational Study of Classical Fractals and Newton Basins of Attraction in The Complex Plane Sahrani, Siti; Salmawaty, Salmawaty; Munzir, Said; Amri, Saiful
Elkawnie Vol. 11 No. 2 (2025)
Publisher : Faculty of Science and Technology Universitas Islam Negeri Ar-Raniry

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22373/ekw.v11i2.25438

Abstract

Abstract: Fractal sets such as the Sierpinski Gasket, the Julia set, the Mandelbrot, and the Newton basin attraction provide rich examples of self-similar structures arising from simple iterative rules. In this work, we present a computational study of these fractals with emphasis on parameter sensitivity and basin dynamics. Using C++, we generated classical fractals (Sierpinski, Julia, and Mandelbrot) and verified their self-similar properties through coordinate transformations. For the Newton basin attraction of the polynomial, implemented in MATLAB, we analyzed the effect of the exponent, complex constant, and iteration depth on convergence regions. The results show that the number of basin attractions corresponds to the polynomial degree, with clear rotational symmetries, while the parameter controls the orientation and distribution of convergence regions. Furthermore, the boundary of the Newton basin attraction was observed to align with Julia sets, highlighting the intrinsic connection between these two fractal structures. This study demonstrates how computational visualization provides analytical insight into the structure and parameter dependence of fractal systems, establishing a systematic framework for parameter-based fractal analysis that bridges classical visualization with numerical dynamics. Abstrak: Himpunan fraktal seperti segitiga Sierpinski, Julia, Mandelbrot, dan Newton basin atraksi merupakan representasi khas dari struktur self-similarity yang terbentuk melalui aturan iteratif sederhana. Penelitian ini menyajikan kajian komputasional terhadap fraktal-fraktal tersebut dengan fokus pada sensitivitas parameter serta dinamika basin atraksi. Algoritma fraktal klasik diimplementasikan menggunakan C++ untuk menghasilkan pola Sierpinski, Julia, dan Mandelbrot sekaligus memverifikasi sifat swasimilaritasnya melalui transformasi koordinat. Sementara itu, Newton basin atraksi dari polinomial dianalisis menggunakan MATLAB untuk mengkaji pengaruh eksponen, konstanta kompleks, dan kedalaman iterasi terhadap daerah konvergensi. Hasil penelitian memperlihatkan bahwa jumlah basin atraksi sebanding dengan derajat polinomial dan menampilkan simetri rotasional yang khas, sedangkan parameter mempengaruhi orientasi serta distribusi wilayah konvergensi. Selain itu, batas Newton basin atraksi ditemukan berimpit dengan himpunan Julia, menegaskan keterkaitan mendasar antara kedua struktur fraktal tersebut. Penelitian ini menunjukkan bahwa visualisasi komputasional mampu memberikan pemahaman analitis terhadap struktur dan pengaruh parameter pada sistem fraktal. Selain itu, penelitian ini juga membangun kerangka kerja sistematis untuk analisis fraktal berbasis parameter, yang menghubungkan visualisasi klasik dengan dinamika numerik.
Co-Authors Anggreni, Melda Anwar Anwar, Thaibil Bansu Irianto Ansari CUT D. SYAHRANI Delfia Hidayatul Fitri Dhian Gunanjar Erfansyah, Muhammad Fitra, Rifka Yani Fona Fitry Burais Hajidin Hajidin Ibnu Khaldun Isnaini Isnaini Johar, Rahma M. Duskri M. Ikhsan Marwan Ramli Marzuki Marzuki Maulidi, Ikhsan Muhammad Ikhwan Nur Ainun Nuridawani Nuridawani Nurmala, Eka Putri, Rizqa Rahmah Johar Raihan Raihan, Raihan Richasanty Septima Rini Sulastri Safriani, Wirda Sahrani, Siti Saiful Amri Saiman . Salmawaty Arif Salmawaty Salmawaty Saminan Saminan Sri Ismulyati Sulastri , Rini Sultan Sultan T. KHAIRUMAN3 Tarmizi Tarmizi Tien Fitrina Zahnur, Zahnur