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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Fourier Journal of Research and Advances in Mathematics Education Al-Jabar : Jurnal Pendidikan Matematika HISTOGRAM: Jurnal Pendidikan Matematika Paedagoria : Jurnal Kajian, Penelitian dan Pengembangan Kependidikan Limits: Journal of Mathematics and Its Applications International Journal on Emerging Mathematics Education JKPM (Jurnal Kajian Pendidikan Matematika) GERVASI: Jurnal Pengabdian kepada Masyarakat Literasi : Jurnal Ilmu Pendidikan Jurnal Pengembangan Pembelajaran Matematika International Journal of Educational Management and Innovation (IJEMI) Jurnal Ilmiah Matematika International Journal on Education Insight Journal of Fundamental Mathematics and Applications (JFMA) Bulletin of Applied Mathematics and Mathematics Education JRAMathEdu (Journal of Research and Advances in Mathematics Education) Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Polynom: Journal in Mathematics Education
Burhanudin Arif Nurnugroho
Universitas Ahmad Dahlan
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Analisis Kebutuhan Pengembangan Multimedia Pembelajaran Berbasis Augmented Reality Untuk Mengembangkan Keterampilan Berpikir Komputasi Rima Aksen Cahdriyana; Burhanudin Arif Nurnugroho
Literasi: Jurnal Ilmu Pendidikan Vol 14, No 1 (2023)
Publisher : Universitas Alma Ata

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21927/literasi.2023.14(1).9-14

Abstract

Jeda waktu antara paparan representasi yang berbeda (dari konkret ke simbolik) akibat penggunaan media konkret/maniputaif dapat menyebabkan kesulitan siswa dalam memahami materi. Begitu juga dengan beban kognitif yang dialami siswa saat menggunakan multimedia berbasis komputer, jauh lebih besar dibandingkan jika siswa menggunakan media Augmented Reality (AR). Penelitian ini bertujuan untuk mendeskripsikan kebutuhan yang diperlukan dalam pengembangan multimedia pembelajaran matematika berbasis AR untuk mengembangkan keterampilan berpikir komputasi siswa. Penelitian ini menggunakan metode deskriptif dengan jenis penelitian survei pendidikan. Subjek penelitian terdiri atas 11 guru matematika di Provinsi Daerah Istimewa Yogyakarta. Instrumen yang digunakan adalah angket analisis kebutuhan yang terdiri atas 13 pertanyaan. Pengolahan data dilakukan dengan mengumpulkan jawaban subjek dari pengisian angket melalui google form, menghitung persentase jawaban, menganalisa hasil persentase jawaban, dan menarik kesimpulan. Hasil dari penelitian ini menunjukkan (1) sebagian besar guru sering mengalami kesulitan dalam membelajarkan materi bangun ruang sisi datar; (2) sebagian besar guru menemukan bahwa siswanya mengalami kesulitan dalam mempelajari materi bangun ruang sisi datar; (3) sebagian besar guru matematika belum pernah menggunakan multimedia pembelajaran berbantuan Augmented Reality; (4) sebagian besar guru belum mengajarkan matematika dengan mempertimbangkan keterampilan di era 4.0; (5) sebagian besar guru belum pernah menggunakan aplikasi AR berbasis keterampilan berpikir komputasi; dan (6)  semua guru matematika sangat membutuhkan inovasi multimedia pembelajaran untuk mengajarkan materi bangun ruang sisi datar dengan Augmented Reality. Berdasarkan hasil tersebut, dapat ditarik kesimpulan perlunya pengembangan multimedia pembelajaran berbasis Augmented Reality pada materi bangun ruang sisi datar untuk mengembangkan salah satu keterampilan di era 4.0 yaitu keterampilan berpikir komputasi.Kata Kunci: Augmented Reality, Berpikir Komputasi, Matematika, Multimedia
Norma-2 non-Archimedean Pada ‘¥(K) Nurnugroho, Burhanudin Arif
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 1 No. 2 (2021): October 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2021.012-08

Abstract

Diberikan K merupakan lapangan bernilai non-Archimedean. Pada paper ini dikonstruksikannorma-2 non-Archimedean pada ruang barisan ‘¥(K). Selanjutnya, dikaji mengenai hubunganantara norma-2 non-Archimedean dan norma non-Archimedean pada ruang tersebut, sehingga diperoleh hubungan antara kelengkapan ruang ‘¥(K) terhadap norma-2 non-Archimedean dan norma non-Archimedean.
Developing problem-based learning student worksheet on matrix materials to improve students’ critical thinking skills Khoirunisa, Zahro; Nurnugroho, Burhanudin Arif
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/bamme.v4i2.11298

Abstract

This research was conducted based on problems at MAS Taruna Al Quran Yogyakarta, that the mathematics learning still relied on a publisher generated sources which only focused on students’ understanding, but not yet targeted their middle-low critical thinking skills. It then aims to develop a problem-based learning worksheet on matrix material, which can improve students' critical thinking skills, especially on interpretation and inference indicators. The research used ADDIE development model which has five stages, including analysis, design, development, implementation, and evaluation. Finally, it successfully developed the worksheet rich of learning activities stimulating the students’ critical thinking through the syntax of problem-based learning. The media expert assessment scored 46/50 (very good) and the content expert assessment scored 100/105 (very good). The worksheet also considered practical for use, as shown by the average results of participant questionnaire response scored 84.4 (very good) in the small-scale test and scored 90.5 (very good) in the large-scale test. The developed worksheet also created a significant influence in improving the students’ critical thinking skills by an increase of 25.3%.
Pengembangan Modul Penyusunan Instrumen Pengukuran Hasil Belajar Matematika Berbantuan Software Microsoft Forms Nurnugroho, Burhanudin Arif; Rima Aksen Cahdriyana
Polynom: Journal in Mathematics Education Vol. 1 No. 1 (2021): Juli 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/polynom.2021.011-08

Abstract

Penelitian ini merupakan penelitian pengembangan dengan tujuan untuk mengembangkan modul penyusunan instrumen pengukuran hasil belajar matematika berbantuan software Microsoft Forms. Pengembangan modul ini dilatar belakangi oleh proses pembelajaran daring yang harus dilakukan dalam massa pandemi Covid-19 ini yang membuat guru juga harus melakukan evaluasi pembelajaran matematika secara daring. Kendala yang dirasakan oleh guru adalah menyusun instrumen pengukuran hasil belajar matematika secara daring. Untuk mengatasi kesulitan guru tersebut, maka diperlukan pengembangan modul yang dapat membantu guru dalam menyusun instrumen pengukuran hasil belajar matematika secara daring. Pada penelitian ini software yang digunakan dalam menyusun instrumen tersebut adalah Microsoft Forms yang dinilai lebih cocok untuk pembelajaran matematika karena mudah dalam menuliskan simbol-simbol matematika. Pengembangan modul ini mengacu pada model pengembangan Thiagarajan, dkk yang meliputi empat tahap, yaitu: define, design, develop, and disseminate. Namun, dalam penelitian ini dilakukan hanya sampai tahap develop saja. Hasil penelitian menunjukkan bahwa modul yang dikembangakan sudah dikatakan valid oleh validator.
SOME PROPERTIES OF ALMOST JOINTLY PRIME (R,S)-SUBMODULES Yuwaningsih, Dian Ariesta; Nurnugroho, Burhanudin Arif; Sholiha, Diniar Mar’atus; Lolita, Lolita
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v7i2.21238

Abstract

Let ? and ? be rings with identity. The definition of prime submodule has been generalized to the almost prime submodule. In addition, the definition of prime submodule has also been carried over to the (?,?)-module structure, which is called jointly prime (?,?)-submodules. However, as a generalization of prime submodules, the concept of almost prime submodules has not been carried over to (?,?)-module structures. In this paper, we construct the definition of almost jointly prime (?,?)-submodules as the generalization of jointly prime (?,?)-submodules. We also present several necessary and sufficient conditions for an (?,?)-submodule to be an almost jointly prime (?,?)-submodule.
Developing complex analysis textbook to enhance students’ critical thinking Setyawan, Fariz; Prasetyo, Puguh Wahyu; Nurnugroho, Burhanudin Arif
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i1.8741

Abstract

Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis and Application, especially in complex numbers. In this research, a qualitative investigation was carried out in the development of the textbook. This textbook supports the mathematics education students of Universitas Ahmad Dahlan in learning complex analysis course. Researchers did a walkthrough to the expert in assessing the content and construct to validate the textbook. The development model used by researchers is a 4 D model. A 4-D model used in this study is consists of defining, designing, developing, and disseminating. In defining, the researcher adequate materials related to the complex numbers such as the rational number and real number and its properties in addition and multiplication. In designing, some explanation in the textbook is followed by Why and How questions. Open questions are used to stimulate the students’ critical thinking. Based on the walkthrough result, some notation in the textbook, especially mathematics symbols, must be revised using a proper mathematics equation. In addition, some concept should be clearly defined such as z‐¹ = 1/z where the value of z ≠ 0. As a result of the validity construct, the explanation given in the textbook used a step-by step exercise. In disseminating, the students can easily access the textbook and answer the questions using their reasoning. The textbook is valid and readable.
Chatterjea fixed point theorem on 2-modular Spaces Nurnugroho, Burhanudin Arif
Jurnal Ilmiah Matematika Vol. 11 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jim.v11i1.28660

Abstract

In this article, we introduce and prove the Chatterjea fixed point theorem on 2-modular spaces.
Developing Number Theory Textbook for Pre-Service Mathematics Teacher of International Program Prahmana, Rully Charitas Indra; Prasetyo, Puguh Wahyu; Istiandaru, Afit; Isnaini, Uha; Nurnugroho, Burhanudin Arif
International Journal on Emerging Mathematics Education IJEME, Vol. 5 No. 2, September 2021
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v5i2.19779

Abstract

The long-term objective of this research is to produce valid, practical, and effective textbooks for courses in international program of mathematics education of Universitas Ahmad Dahlan. For the short-term, this research aims to produce valid and practical textbook for number theory course. The validity was based on the relevancy towards the students’ expected competence, while the practicality was measured from the implementation of learning using the textbook. This research used design research with the type of development studies. It followed four steps, i.e. (1) preliminary research, (2) prototyping stage, (3) summative evaluation, and (4) systemic reflection and documentation. In the preliminary research, we analyzed the need of the textbook in the international program and found that the textbook of number theory course is very needed. In the prototyping stage, we wrote the textbook based on the need analysis. The prototype was then discussed with expert and revised in the stage of summative evaluation and applied to the lecture meetings. The result was the final product of the textbook used for the stage of systemic reflection and documentation when we wrote all the results according to the preset research framework. Finally, the developed number theory textbook is valid and practical.
Teorema Titik Tetap Kannan Pada Ruang Modular-2 Nurnugroho, Burhanudin Arif
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 5 No. 01 (2025): April 2025
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2025.051-01

Abstract

Kannan's fixed point theorem, constructed initially on metric spaces, has been developed for several abstract spaces. This research will study Kannan's fixed point theorem on 2-modular spaces.
Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space Prasetyo, Puguh Wahyu; Yuwaningsih, Dian Ariesta; Nurnugroho, Burhanudin Arif
Al-Jabar: Jurnal Pendidikan Matematika Vol 11 No 2 (2020): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v11i2.6897

Abstract

A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class  for some positive integer  In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical. Let  be a Tychonoff space that does not contain any isolated point. The set  of all continuous real-valued functions defined on  is a prime essential ring. Finally, we can show that the class  of rings is a supernilpotent radical class containing the matrix ring .  
Co-Authors A. Zulijanto Afit Istiandaru Afit Istiandaru, Afit Ahlam, Muhammad Naufal Husni Andriyani Andriyani Dian Ariesta Yuwaningsih Haryadi Ida Ma'rifah Khoirunisa, Zahro Lolita Lolita Mahmudah, Faisa Nirbita Maretha, Dinda Genius Anggun Melania, Tika Eri Nurul Arfinanti Puguh Wahyu Prasetyo, Puguh Putra, Rofiif Mahardhika Rima Aksen Cahdriyana Rima Aksen Cahdriyana Rizky, Muhammad Rafi Fajar Rostien Puput Anggoro Rully Charitas Indra Prahmana Rusmining Rusmining Setyawan, Fariz Sholiha, Diniar Mar’atus Supama Supama Uha Isnaini Uswatun Khasanah