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All Journal Jurnal Karya Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Fourier Union: Jurnal Ilmiah Pendidikan Matematika SCIENCE TECH: Jurnal Ilmiah Ilmu Pengetahuan dan Teknologi SOSIOHUMANIORA: Jurnal Ilmiah Ilmu Sosial dan Humaniora Wacana Akademika : Majalah Ilmiah Kependidikan JMPM: Jurnal Matematika dan Pendidikan Matematika Formatif: Jurnal Ilmiah Pendidikan MIPA JTAM (Jurnal Teori dan Aplikasi Matematika) Teorema: Teori dan Riset Matematika COMPTON: Jurnal Ilmiah Pendidikan Fisika Psychology, Evaluation, and Technology in Educational Research Indonesian Journal of Mathematics Education Wiyata Dharma: Jurnal Penelitian dan Evaluasi Pendidikan Delta: Jurnal Ilmiah Pendidikan Matematika Jurnal Review Pendidikan dan Pengajaran (JRPP) Abdimas Universal Square : Journal of Mathematics and Mathematics Education InPrime: Indonesian Journal Of Pure And Applied Mathematics Community Empowerment Mosharafa: Jurnal Pendidikan Matematika Unnes Journal of Mathematics J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Euclid Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang International Journal of Mathematics and Mathematics Education (IJMME) Bulletin of Educational Management and Innovation Jurnal Penelitian dan Pengabdian Masyarakat IndoMath: Indonesia Mathematics Education Journal of Innovative and Creativity
Denik Agustito
Universitas Sarjanawiyata Tamansiswa
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Economics, Econometrics & Finance Education Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Other

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Mathematical induction, transfinite induction, and induction over the continuum Agustito, Denik; Sukiyanto, Sukiyanto; Kuncoro, Krida Singgih
International Journal of Mathematics and Mathematics Education (IJMME) Vol. 1 No. 2 (2023)
Publisher : EDUPEDIA Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (369.617 KB) | DOI: 10.56855/ijmme.v1i02.385

Abstract

This article examines three types of induction methods in mathematics: mathematical induction, transfinite induction, and induction over the continuum. If a statement holds true for all natural numbers, it is proven using mathematical induction. If a statement holds true for all ordinal numbers, it is proven using transfinite induction. Since induction over the continuum cannot be applied to a statement, when something is said to be proven true for every point in [a, b), the proof is done using induction over the continuum.
Direct Product dan Direct Sum dari Keluarga Grup Abelian Agustito, Denik; Kuncoro, Krida Singgih; Sukiyanto, Sukiyanto; Istiqomah, Istiqomah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 2 (2022): September 2022 - February 2023
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i2.3044

Abstract

Eksistensi dari direct product dalam kategori grup abelian ada; jika diberikan keluarga grup abelian yaitu {(G_i,+_i )?i?I} maka direct productnya adalah ?_(i?I)?G_i dan  extrenal direct sumnya juga ada yaitu ?_(i?I)?G_i. Kemudian jika diberikan sebuah keluarga subgrup normal dari grup abelian G yaitu {N_i?i?I}, maka internal direct sumnya juga ada dan dinotasikan dengan G=(_i?I^?)N_i.
Meta-Analysis Study: Effectiveness of Using GeoGebra on Students' Mathematical Ability Anajihah, Novita Maharani; Sulistyowati, Fitria; Harini, Esti; Agustito, Denik; Nugraheni, Zahra
IndoMath: Indonesia Mathematics Education Vol 8, No 1 (2025): February 2025
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v8i1.140

Abstract

The use of GeoGebra in mathematics education positively impacts students' mathematical abilities. This meta-analysis examines its overall effectiveness using 10 studies selected from Google Scholar and Scopus based on inclusion criteria. Data were analyzed using RStudio, revealing an overall effect size of 1.31, indicating a highly positive impact. The study also analyzed variability with four moderator variables: education level, publication type, control class type, and mathematical ability. Results show that GeoGebra significantly enhances mathematical abilities based on publication source and control type but is not influenced by education level. Notably, GeoGebra effectively improves students' conceptual understanding of mathematics, making it a valuable tool for enhancing mathematical skills in education. These findings emphasize the significant role of GeoGebra in fostering students' mathematical comprehension.
The Hilbert space L2 and its self adjoint linear operators in quantum mechanics Agustito, Denik; Setyawan, Dhimas Nur; Sebastian, Rio; Erlangga, Sony Yunior; Trisniawati
COMPTON: Jurnal Ilmiah Pendidikan Fisika Vol 11 No 1 (2024): Compton: Jurnal Ilmiah Pendidikan Fisika
Publisher : Prodi Pendidikan Fisika Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/cjipf.v11i2.18911

Abstract

This paper aims to explain the relationship between the concepts of state, position, and momentum in Quantum Mechanics and the mathematical objects in the study of Functional Analysis. The relationship between functional analysis and quantum mechanics is that if there is the notion of state space, momentum and position, then the relationship with functional analysis is that the state space forms a Hilbert space and momentum and position are seen as operators in the Hilbert space. The method used in this research is a literature review, which conducts a comprehensive review of literature, including textbooks and journals on functional analysis, operator theory, Hilbert spaces, and quantum mechanics. The results and conclusions of this study reveal that the state in Quantum Mechanics forms a class of all sets of square-integrable functions, represented by , which possesses the structure of a complex Hilbert space. Furthermore, Position and momentum in Quantum Mechanics are represented as self-adjoint linear operators on  L2, a complex Hilbert space of square-integrable functions.
Construction of Ordinal Numbers and Arithmetic of Ordinal Numbers Agustito, Denik; Kuncoro, Krida Singgih; Istiqomah, Istiqomah; Hendriyanto, Agus
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 3 (2023): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i3.15039

Abstract

The purpose of this paper is to introduce the idea of how to construct transfinite numbers and study transfinite arithmetic. The research method used is a literature review, which involves collecting various sources such as scientific papers and books related to Cantorian set theory, infinity, ordinal or transfinite arithmetic, as well as the connection between infinity and theology. The study also involves constructing the objects of study, namely ordinal numbers such as finite ordinals and transfinite ordinals, and examining their arithmetic properties. The results of this research include the methods of constructing both finite and transfinite ordinal numbers using two generation principles. Both finite and transfinite ordinal numbers are defined as well-orderings that are also transitive sets. Arithmetic of finite ordinal numbers is well-known, but the arithmetic of transfinite ordinal numbers will be introduced in this paper, including addition, multiplication, and exponentiation.
Uji Kelayakan Modul Trigonometri Berbasis Ajaran Tamansiswa Taufiq, Irham; Agustito, Denik
Mosharafa: Jurnal Pendidikan Matematika Vol. 10 No. 2 (2021): Mei
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v10i2.661

Abstract

Berdasarkan hasil observasi di Prodi Pendidikan Matematika UST Yogyakarta terdapat beberapa masalah pada proses pembelajaran salah satunya yaitu belum tersedianya modul yang berbasis ajaran Tamansiswa. Tujuan penelitian adalah untuk mengembangkan modul Trigonometri berbasis ajaran Tamansiswa dan mencari tahu tingkat kelayakan modul tersebut. Metode penelitian pengembangan dengan model ADDIE yang melalui 5 tahapan yaitu Analysis, Design, Development, Implementation, dan Evaluation. Pada penelitian ini dibatasi sampai tahap Development. Penelitian dilakukan di Prodi Pendidikan Matematika UST. Subjek penelitian adalah mahasiswa yang mengambil mata kuliah Trigonometri pada Semester Gasal Tahun Akademik 2020/2021 yaitu 50 orang. Teknik pengumpulan data menggunakan angket dan wawancara yaitu angket validasi untuk validator ahli materi dan ahli modul. Teknik analisis data secara deskriptif kualitatif dan kuantitatif. Hasil yang dicapai adalah telah berhasil dikembangkan modul Trigonometri berbasis ajaran Tamansiswa. Modul yang dikembangkan ini telah memenuhi kelayakan sesuai dengan hasil validasi ahli modul dan materi dengan hasil validator sangat baik. Based on the results of observations at the UST Yogyakarta Mathematics Education Study Program, there are several problems in the learning process, one of which is the unavailability of modules based on Tamansiswa teachings. The research objective was to develop a Trigonometry module based on Tamansiswa teachings and to find out the feasibility level of the module. The development research method uses the ADDIE model through 5 stages, namely Analysis, Design, Development, Implementation, and Evaluation. This research is limited to the Development stage. The research was conducted at the UST Mathematics Education Study Program. The research subjects were 50 students taking the Trigonometry course in the Odd Semester of the Academic Year 2020/2021. Data collection techniques used questionnaires and interviews, namely validation questionnaires for material expert validators and module experts. The data analysis technique is descriptive qualitative and quantitative. The result that has been achieved is that the Trigonometry module based on Tamansiswa teachings has been successfully developed. This developed module has met the feasibility by the results of validation by module experts and material with very good validator results.
Landasan berfikir matematis untuk mendapatkan ide tentang eksistensi dari bi-clean and clean hopf modules Agustito, Denik; Purnama, Aditya Yoga; Setyawan, Dhimas Nur
Wiyata Dharma: Jurnal Penelitian dan Evaluasi Pendidikan Vol 12 No 1 (2024)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/wd.v12i1.17282

Abstract

Tujuan dari tulisan ini adalah mengetahui ide yang muncul dan landasan berfikir matematis yang digunakan saat Puspita dan Wijayanti mendapatkan eksistensi dari modul hopf bi-clean dan modul hopf clean dan metode dari penelitian ini adalah kajian literatur. Kemudian ide tentang komodul clean didefinisikan melalui sifat cleaness dari ring endormofismanya dan landasan berfikir matematisnya adalah analogi yaitu menganalogikan seperti ketika memunculkan ide mengenai modul clean. Dengan memanfaatkan gagasan koaljabar sebagai kasus khusus dari komodul, maka ide tentang koaljabar clean adalah sama sebagai komodul clean. Kemudian ide tentang modul hopf bi-clean didefinisikan melalui sifat cleaness dari struktur dasarnya yaitu sebagai modul clean dan juga sebagai komodul clean, serta landasan berfikir matematisnya adalah generalisasi yaitu dengan cara menggabungkan sifat cleaness dari struktur dasarnya sebagai modul clean dan sebagai komodul clean. Untuk ide dan landasan berfikir matematis dari modul hopf clean mengikuti seperti terbentuknya ide dan landasan berfikir matematis dari modul hopf bi-clean.   Mathematical reasoning about the existence of bi-clean and clean hopf modules   Abstract: The purpose of this paper is to know the ideas that arise and the mathematical reasoning used when Puspita and Wijayanti get the existence of bi-clean hopf modules and clean hopf modules and the method of this research is a literature review.  Then the idea of clean module is defined through the cleanness property of its endomorphism ring and the mathematical reasoning is analogous to the idea of clean module. By utilizing the idea of coalgebra as a special case of commodules, the idea of clean coalgebra is the same as clean commodules. Then the idea of bi-clean Hopf module is defined through the cleaness properties of its basic structure as a clean module and also as a clean commodity, and the basis of mathematical thinking is generalization by combining the cleaness properties of its basic structure as a clean module and as a clean commodity. The idea and mathematical reasoning of the hopf clean module follow the idea and mathematical reasoning of the hopf bi-clean module.
Kemampuan Berpikir Kritis Matematis Siswa SMP Dalam Menyelesaikan Masalah Bilangan Bulat Ditinjau Dari Minat Belajar Sukiyanto; Dewi Anggreini; Denik Agustito
Journal of Innovative and Creativity Vol. 6 No. 1 (2026)
Publisher : Fakultas Ilmu Pendidikan Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/joecy.v6i1.7748

Abstract

Tujuan penelitian ini untuk mengetahui kemampuan berpikir kritis siswa dalam menyelesaikan masalah pada bilangan bulat. Materi bilangan bulat ini memiliki konsep yang berhubungan dengan bilangan real, aljabar, bangun datar, bangun ruang, yang akan dipelajari lebih lanjut pada tingkat universitas. Jenis penelitian yang digunakan adalah penelitian deskriptif dengan pendekatan kualitatif. Subjek dari penelitian ini adalah siswa SMP Muhammadiyah Imogiri. Teknik pengumpulan data yang digunakan dalam penelitian ini adalah 1) observasi dan dokumentasi, untuk mencatat perilaku siswa selama proses penyelesaian masalah. 2) Wawancara: bertujuan untuk memahami dan mendalami proses berpikir kritis siswa; 3) tes bertujuan untuk mengidentifikasi pola berpikir kritis siswa dalam menyelesaikan soal bilangan bulat. Teknik analisis data yang digunakan pada penelitian ini, yaitu: 1) Reduksi data; 2) Penyajian data; dan 3) Penarikan kesimpulan. Instrumen pengumpulan data pada penelitian ini adalah soal tes bilangan bulat. Berdasarkan analisis kuantitatif, terdapat peningkatan kemampuan siswa setelah diberikan perlakuan. Peningkatan ini ditunjukkan oleh rata-rata gain sebesar 7 poin. Meskipun nilai gain normalisasi menunjukkan kategori peningkatan yang masih rendah (g = 0,111), hal ini membuktikan adanya pengaruh positif dari perlakuan terhadap hasil belajar siswa.
PENGARUH MEDIA PEMBELAJARAN MATEMATIKA BERBASIS GAME EDUKASI KAHOOT PADA PEMBELAJARAN TATAP MUKA TERBATAS Sukiyanto Sukiyanto; Betty Kusumaningrum; Dewi Anggreini; Denik Agustito
Jurnal Karya Pendidikan Matematika Vol 10, No 1 (2023): Jurnal Karya Pendidikan Matematika Volume 10 Nomor 1 Tahun 2023
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jkpm.10.1.2023.21-26

Abstract

Learning is an activity that is arranged in a planned and systematic manner by involving information and the environment to facilitate students in learning. Efforts that can be made by schools to continue to achieve learning goals during the pandemic, one of which is by implementing limited face-to-face learning. Limited face-to-face learning is learning that implements the Covid-19 prevention process and pays attention to the preparations made by schools before the start of learning, to ensure that learning takes place safely, clearly determining the number of days and hours for the division of limited study groups to be carried out. To see the success of learning mathematics during the learning process. It takes one of the use of learning media that is fun for students. Thus, to overcome this problem, researchers chose to use online-based learning media, namely Kahoot. Kahoot can be accessed at www.kahoot.com which is connected to the internet. During the evaluation at the end of the lesson using the Kahoot application, it can keep students excited and not watching during the learning process. Thus, the purpose of this study is to find out how the use of kahoot learning media in the face-to-face learning process is limited to learning mathematics. While the instruments used in this study were tests, questionnaires and observations. The test questions used in the use of the Kahoot application are 5 questions for each quiz that is carried out 3 times. The test given to students is in the form of multiple-choice questions on the class VII integer material. The questionnaire in this study was in the form of closed questions or statements, aiming to find out the student's response to the evaluation tool that would be given.
Pelatihan Media Pembelajaran Interaktif Berbasis Game Edukasi Kahoot Di SMP Pada Materi Bilangan Bulat Dewi Anggreini; Sukiyanto Sukiyanto; Denik Agustito
Jurnal Penelitian dan Pengabdian Masyarakat Vol. 4 No. 1 (2026): February 2026
Publisher : Yayasan Pondok Pesantren Sunan Bonang Tuban

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61231/2mgy1t42

Abstract

Enjoyable learning can influence student learning outcomes. Learning success is influenced by several factors, one of which is the learning media factor. Technology-based learning media is very likely to overcome problems that often arise in the world of learning. Because technology has a very important role in developing innovation, ideas or concepts in learning. With technology, learning can be packaged into games, one of which is the Kahoort educational game. The priority problems faced by junior high schools are: (1) Weak student understanding of negative integers (-). The solution to overcome this problem is: Improving student understanding by using Kahoort educational game-based learning media; (2) Teachers need innovation in learning. The solution to overcome this problem is: Introducing students to interactive learning media based on Kahoort educational games. The implementation of this community service uses a training method, using quantitative. The community service instrument uses a questionnaire. The results obtained are that this community service received high enthusiasm from community service participants (training) and partners where the community service was held.
Co-Authors Ade Ayu Dwiguningtyas Ade Ayu Dwiguningtyas Aditya Yoga Purnama Anajihah, Novita Maharani Annis Deshinta Ayuningtyas Asrika, Nila Bagas Sanyoto Betty Kusumaningrum Betty Kusumaningrum Betty Kusumaningrum Dafid Setiana Dafid Slamet Setiana Deri Fathurahman Arif Dewi Anggreini Dewi Anggreini Dhimas Nur Setyawan Dwi Nova Lestari Eka Yulia Sari Esti Harini Esti Harini, Esti Fitria Sulistyowati Fitria Sulistyowati Hakeem Nafiu Hendriyanto, Agus Heru Sukoco Hesti Anggi Astuti Irham Taufiq Irham Taufiq, Irham Istiqomah Istiqomah istiqomah istiqomah Krida Singgih Kuncoro Krisna Satrio Perbowo Kusmanto, Benediktus Kusumaningrum, Betty Ledi, Fixaris Lestari, Ega Sri Meirani, Fajar Mohamad Basri Nadzeri Muhammad Irfan Muhammad Irsyad Myrat Hayytjanov Nella Evina Marlena Nugraheni, Zahra Patrisius Afrisno Udil, Patrisius Afrisno Puspitaningati, Ajeng Putri Anugrah Ayuning Pratiwi Restu Hayyu Khoirunnisa Riawan Yudi Purwoko Risko Naibaho Rosafika Aziza Sebastian, Rio Sony Yunior Erlangga Sri Adi Widodo Sri Adi Widodo Sri Adi Widodo Sukiyanto Sukiyanto Sukiyanto Sukiyanto, Sukiyanto Suroyaningsih, Putri Tiara Pramudianti Tri Astuti Arigiyati Trisniawati Trisniawati Trisniawati Tsalitsatul Maulidah Turyanto Turyanto Wikan Budi Utami Yuliani, Rika