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All Journal IJoASER (International Journal on Advanced Science, Education, and Religion) Jurnal Kumparan Fisika
Wahyu Setiawan
Institut Alif Muhammad Imam Syafi’i Lamongan
Religion Education Physics Social Sciences

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PERHITUNGAN NUMERIK RAPAT KEADAAN GRAPHENE BILAYER DENGAN MODEL TIGHT-BINDING MENGGUNAKAN METODE RAMBATAN WAKTU TROTTER-SUZUKI Wahyu Setiawan
Jurnal Kumparan Fisika Vol. 6 No. 2: Agustus 2023
Publisher : Unib Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/jkf.6.2.83-96

Abstract

ABSTRAK   Perhitungan rapat keadaan (density of states/DOS) material graphene bilayer model ikatan kuat atau Tight-Binding (TB) melalui penyelesaian persamaan Schrӧdinger Gayut Waktu (PSGW) telah dilakukan dengan menggunakan metode rambatan waktu Trotter-Suzuki. Fungsi gelombang awal  dibangkitkan dengan menggunakan bilangan acak kompleks sebagai fungsi superposisi dari basis tiap-tiap site atom berstruktur heksagonal untuk memperoleh fungsi korelasi. Nilai rapat keadaan dihitung dengan mentransformasi Fourier fungsi korelasi yang sudah didapatkan. Penelitian ini terfokus pada perhitungan rapat keadaan dari graphene bilayer model AA-Stacking. Hasil penelitian menunjukkan bahwa metode rambatan waktu Trotter-Suzuki sangat efisien digunakan untuk menghitung rapat keadaan dari sistem atom yang besar. Model TB dapat menjelaskan rapat keadaan material graphene bilayer dengan variasi ukuran sistem dan hopping parameter. Banyaknya jumlah atom (site) yang ditinjau mempengaruhi keteraturan hasil perhitungan rapat keadaan. Semakin banyak atom yang ditinjau, semakin teratur perhitungan rapat keadaan yang dihasilkan. Variasi nilai hopping interlayer mengakibatkan munculnya singularitas van Hove di level tenaga Fermi untuk t1=t2 dan bertambahnya sifat metallicity akibat bertambahnya nilai DOS pada level tenaga Fermi untuk t1<t2.   Kata  kunci: graphene bilayer, rapat keadaan, dan metode Trotter-Suzuki,   ABSTRACT   The density of states (DOS) of the bilayer graphene material with Tight-Binding (TB) model has been calculated by solving the Time Dependent Schrӧdinger Equation (TDSE) with Trotter-Suzuki formula. The generation of the initial wave function  is carried out by using a random complex number as a superposition function of the base of each hexagonal structure atomic site to obtain the correlation function. The results of the calculation of the correlation function are then Fourier transformed to calculate the density of the state. This research focuses on calculating the state density of the graphene bilayer AA-Stacking. The results showed that the Trotter-Suzuki method was very efficient in calculating the state density of large atomic systems. The TB model can explain the density of states of the bilayer graphene material with variations in system size and hopping parameters. The number of atoms (sites) reviewed affects the regularity of the DOS calculation results. The more atoms that are reviewed, the more orderly the DOS calculations will be generated. The variation of the hopping interlayer value would be appearing van Hove singularity at the Fermi level for t1=t2 and increase in the metallicity properties with the increase in the DOS value at the Fermi level for t1<t2.   Keywords: bilayer graphene, density of states, Trotter-Suzuki formula
Application of the GeoGebra Graphing Calculator in Mathematics Learning to Improve Students' Mathematical Competence Malik, Fatus Atho'ul; Hidayatullah, Bagus; Setiawan, Wahyu; Amalliyah, Nor; Nurwahid, Mohammad
International Journal on Advanced Science, Education, and Religion Vol 8 No 1 (2025): IJoASER (International Journal on Advanced Science, Education)
Publisher : Sekolah Tinggi Agama Islam Al-Furqan, Makassar - Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33648/ijoaser.v8i1.794

Abstract

One concrete step in improving students' mathematical competencies in modern education is through the application of interactive digital learning media. The GeoGebra Graphing Calculator application is an interactive and user-friendly digital learning tool. This research uses classroom action research. The subjects of this study are 20 students from class XI at MA Tarbiyatus Shibyan Lamongan. The classroom action research was conducted in two cycles. In each cycle, students were given worksheets on the topic of linear programming. In Cycle I, students completed the worksheets manually, while in Cycle II, students were introduced to the learning media and used the GeoGebra Graphing Calculator in completing the worksheets. The results obtained from this study using the T-Test (Paired Samples Statistic) show a p-value of ), indicating that the application of the GeoGebra Graphing Calculator in mathematics learning has an impact on improving students' mathematical competencies. Based on the average scores in each cycle, it is also evident that the use of the GeoGebra Graphing Calculator has an effect, as students' competencies improved from a moderate level with an average of 73.75% to a high level with an average of 89.06% after the application of the GeoGebra Graphing Calculator.
The Role of Students' Developmental Psychology in Mathematics Learning Nurwahid, Mohammad; Hidayatullah, Bagus; Atho’ul Malik, Fatus; Amalliyah, Nor; Setiawan, Wahyu
International Journal on Advanced Science, Education, and Religion Vol 8 No 1 (2025): IJoASER (International Journal on Advanced Science, Education)
Publisher : Sekolah Tinggi Agama Islam Al-Furqan, Makassar - Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33648/ijoaser.v8i1.798

Abstract

Mathematics learning requires an approach that is appropriate to students' developmental stages to ensure optimal understanding. Developmental psychology plays a role in understanding the cognitive, emotional and social characteristics of students, so that learning can be tailored to their needs. This study uses a literature analysis method by examining various theories and research on developmental psychology and their implications for mathematics learning. The results of the study show that developmental psychology helps teachers adapt learning strategies to students' cognitive stages, overcome mathematics anxiety, and encourage social collaboration to increase learning motivation
Development of Mathematical Comic to Improve Student Learning Achievement Amalliyah, Nor; Setiawan, Wahyu; Hidayatullah, Bagus; Malik, Fatus Atho’ul; Nurwahid, Mohammad
International Journal on Advanced Science, Education, and Religion Vol 8 No 1 (2025): IJoASER (International Journal on Advanced Science, Education)
Publisher : Sekolah Tinggi Agama Islam Al-Furqan, Makassar - Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33648/ijoaser.v8i1.800

Abstract

This research aims to develop mathematics comic learning media that is valid, practical, and effective in improving student learning outcomes. The research background is based on problems in mathematics learning, where abstract concepts are often difficult for students to understand. Mathematics comics, as a visual medium that combines narrative and illustration elements, have the potential to present mathematical concepts in a more-interesting and easy to understand manner, thereby increasing student motivation and learning outcomes. This research uses the development research (R&D) method with the ADDIE (Analysis, Design, Development, Implementation and Evaluation) development model. The research was carried out at Bustanul Hikmah Islamic Vocational School, involving class XI students as test subjects. Data collection instruments include expert validation questionnaires, student response questionnaires, and learning outcomes tests. The results of expert validation show that the mathematics comic developed meets valid criteria in terms of content, construction and language. The results of the practicality trial show that the mathematics comic is easy to use, the material is presented clearly, and attracts students' interest. Analysis of learning outcome data shows a significant improvement after using mathematics comics. Thus, it can be concluded that the mathematics comics developed are valid, practical and effective for improving student learning outcomes. This mathematics comic can be an innovative and interesting alternative learning media to improve the quality of mathematics learning.
Co-Authors Amalliyah, Nor Hidayatullah, Bagus Malik, Fatus Atho'ul Nurwahid, Mohammad