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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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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 : Department of Mathematics Education, 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  where the value of . 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.
Strongly Summable Vector-Valued Sequence Spaces Defined by 2-modular Nurnugroho, Burhanudin Arif; Prasetyo, Puguh Wahyu
CAUCHY Vol 6, No 4 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v6i4.11484

Abstract

Summability is an important concept in sequence spaces. One summability concept is strongly Cesaro summable. In this paper, we study a subset of the set of all vector-valued sequence in 2-modular space. Some facts that we investigated in this paper include linearity, the existence of modular and completeness with respect to these modular.
PENGEMBANGAN INSTRUMEN TES BERDASARKAN KOMPONEN PROSES LITERASI MATEMATIKA rusmining rusmining; Burhanudin Arif Nurnugroho
HISTOGRAM: Jurnal Pendidikan Matematika Vol 5, No 2 (2021): Histogram
Publisher : STKIP Andi Matappa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31100/histogram.v5i2.1407

Abstract

This development research aims to develop a mathematical literacy test instrument for vector material. The research stages use the four D development model, namely define, design, develop, and disseminate, while the data analysis is qualitatively descriptive. In the define stage, a preliminary study was conducted to determine the characteristics of students and the previous test questions instruments. At the design stage, an instrument for the description of vector material based on mathematical literacy was compiled. At the develop stage, the validation process of three expert validators is carried out as well as testing of limited scale questions, namely small and large scale. The instrument is said to be feasible if it is valid and practical. The instrument is valid if the results of the category validation are at least good. And practical instruments if the results of the questionnaire category are at least good. The results of the validation obtained assessments, namely: (1) the average value of validator 1 is 4.17 valid with good category; (2) the average value of validator 2 is 4.52 valid with a very good category; and (3) the average value of validator 3 is 4.47 valid with a very good category. While the results of the questionnaire include: (1) a small-scale trial obtained an average result of 3.54 which means that the practical instrument is in the very good category. (2) large-scale trials obtained an average result of 3.38, meaning that the practical instrument was in good category. From these results, it is concluded that the test instrument developed is valid and practical.
Bahan Ajar Matakuliah Pemodelan Matematika untuk Memfasilitasi Kemampuan Berpikir Kritis Mahasiswa Uswatun Khasanah; Burhanudin Arif Nurnugroho
Jurnal Pengembangan Pembelajaran Matematika Vol. 3 No. 1 (2021)
Publisher : Universitas Islam Negeri Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/jppm.2021.031-05

Abstract

Kemampuan berpikir kritis mahasiswa perlu diajarkan sebagai bekal dalam menghadapi tantangan dunia kerja. Kemampuan ini perlu dilatihkan melalui kegiatan perkuliahan di perguruan tinggi. Matakuliah Pemodelan Matematika merupakan salah satu matakuliah pada program studi Pendidikan Matematika Universitas Ahmad Dahlan yang dapat digunakan untuk mengembangkan kemampuan berpikir kritis mahasiswa. Karakteristik dari matakuliah pemodelan matematika yang memerlukan kemampuan berpikir tingkat tinggi menjadi salah satu alasannya. Penelitian ini bertujuan untuk mengembangkan bahan ajar matakuliah pemodelan matematika yang dapat meningkatkan k emampuan berpikir kritis mahasiswa. Dalam menggembangkan bahan ajar matakuliah pemodelan matematika, prosedur penelitian yang digunakan adalah 4-D model. Model pengembangan 4-D meliputi empat tahap yaitu, define, design, develop, dan disseminate. Instrumen yang digunakan dalam penelitian ini berupa lembar penilaian bahan ajar oleh ahli dan juga soal tes kemampuan berpikir kritis. Hasil penelitian menunjukkan bahwa bahan ajar matakuliah pemodelan matematika dikatakan dapat memfasilitasi  peningkatan kemampuan berpikir kritis mahasiswa. Berdasarkan penilaian ahli terhadap bahan ajar matakuliah pemodelan matematika diperoleh skor rata-rata 80,02 (kategori sangat baik). Selain itu hasil tes kemampuan berpikit kritis mahasiswa menunjukkan adanya peningkatan terhadap kemampuan berpikir kritis mahasiswa secara kualitatif. Kata Kunci: bahan ajar, pemodelan matematika, kemampuan berpikir kritis
Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean Burhanudin Arif Nurnugroho; Supama Supama; A. Zulijanto
Jurnal Fourier Vol. 8 No. 2 (2019)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2019.82.43-50

Abstract

Di dalam paper ini dikonstruksikan operator linear-2 terbatas dari X2 ke Y , dengan X ruang bernorma-2 non-Archimedean dan ruang bernorma non-Archimedean. Di dalam paper ini ditunjukan bahwa himpunan semua operator linear-2 terbatas dari X2 to Y , ditulis B(X2, Y) merupakan ruang bernorma non-Archimedean. Selanjutnya, ditunjukan bahwa B(X2, Y), apabila Y ruang Banach non-Archimedean. [In this paper we construct bounded 2-linear operators from X2 to Y, where X is non-Archimedean 2-normed spaces and is a non-Archimedean-normed space. We prove that the set of all bounded 2-linear operators from X2 to Y , denoted by B(X2, Y) is a non-Archimedean normed spaces. Furthermore, we show that B(X2, Y) is a non-Archimedean Banach normed space, whenever Y is a non-Archimedean Banach space.]
Developing complex analysis textbook to enhance students’ critical thinking Fariz Setyawan; Puguh Wahyu Prasetyo; Burhanudin Arif Nurnugroho
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, 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  where the value of . 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.
Ruang Barisan Orlicz dan Ruang Dualnya Haryadi Haryadi; Burhanudin Arif Nurnugroho
Limits: Journal of Mathematics and Its Applications Vol 19, No 1 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v19i1.8114

Abstract

Di dalam makalah ini akan dikaji sifat-sifat ruang barisan Orlicz l. Selanjutnya, akan diselidiki karakteristik ruang dual ruang barisan Orlicz dan keterkaitannya dengan ruang barisan yang dibangun oleh pasangan fungsi Orlicz komplementernya. Untuk mencapai tujuan tersebut pada ruang barisan Orlicz l akan digunakan norma Luxemburg dan norma-. Dengan menggunakan kedua norma, karakterisasi ruang barisan Orlicz  berhasil ditelaah. Hasil-hasil yang lebih khusus ditelaah untuk fungsi Orlicz yang memenuhi kondisi-2. Secara umum, ruang dual ruang barisan Orlicz merupakan himpuan bagian ruang barisan yang dibangun oleh pasangan fungsi Orlicz komplementernya. Lebih lanjut, untuk fungsi Orlicz yang memenuhui kondisi-2, ruang dual ruang barisan Orlicz merupakan perumuman di ruang barisan lp dengan 1<p<∞.  In this paper first, we examine some properties of the sequence Orlicz space .  Then, we examined the characteristics of the dual space of the sequence space. The relation of the dual space and the sequence generated by its complementary Orlicz function are examined. We use the Luxemburg norm and the -norm to investigate the space. Some properties of the space are found, and the results for the Orlicz function that satisfies -condition are given. Generally, the dual space is the subspace of the sequence generated by its complementary Orlicz function. For the Orlicz function that satisfies -condition, the dual space is generalization of the dual in the space   for  
Developing Number Theory Textbook for Pre-Service Mathematics Teacher of International Program Rully Charitas Indra Prahmana; Puguh Wahyu Prasetyo; Afit Istiandaru; Uha Isnaini; Burhanudin Arif Nurnugroho
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.
Pelatihan penyusunan kuis interaktif berbasis android Rima Aksen Cahdriyana; Rostien Puput Anggoro; Burhanudin Arif Nurnugroho
GERVASI: Jurnal Pengabdian kepada Masyarakat Vol 5, No 3 (2021): GERVASI: Jurnal Pengabdian Kepada Masyarakat
Publisher : LPPM IKIP PGRI Pontianak

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31571/gervasi.v5i3.2215

Abstract

Evaluasi pembelajaran merupakan salah satu cara untuk mengetahui tingkat keberhasilan proses belajar siswa. Salah satu authoring tools yang digunakan untuk mengembangkan evaluasi/kuis interaktif berbasis android adalah Articulate Storyline. Berdasarkan hasil polling sebelum diadakan pelatihan, hanya terdapat 2 (dua) peserta/guru yang pernah menggunakan Articulate Storyline. Oleh karena itu, perlunya mengadakan pelatihan penyusunan kuis interaktif dengan menggunakan Articulate Storyline. Mitra kegiatan ini adalah Majelis Dikdasmen Pimpinan Daerah Muhammadiyah Kota Yogyakarta dan peserta kegiatan meliputi guru-guru SMP Muhammadiyah se-Kota Yogyakarta yang berjumlah 16 orang. Metode pelaksanaan yang adalah ceramah, demonstrasi, dan tanya jawab. Pelatihan synchronous dilaksanakan pada tanggal 11 dan 12 November 2020 melalui Zoom Meeting. Sedangkan pelatihan asynchronous dilaksanakan pada tanggal 21 hingga 28 November 2020 melalui Google Classroom. Berdasarkan pengisian angket evaluasi disimpulkan bahwa peserta mendapatkan tambahan wawasan melalui penyampaian materi selama pelatihan dengan baik dan berminat mencobakan materi pelatihan ke dalam proses pembelajaran
Pengembangan Video Pembelajaran Berbasis Model CORE (Connecting, Organizing, Reflecting, Extending) Materi Pythagoras Ida Ma&#039;rifah; Burhanudin Arif Nurnugroho
JKPM (Jurnal Kajian Pendidikan Matematika) Vol 8, No 1 (2022): JKPM (Jurnal Kajian Pendidikan Matematika)
Publisher : Universitas Indraprasta PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/jkpm.v8i1.13372

Abstract

Tujuan proyek ini adalah membuat video pembelajaran menggunakan pendekatan CORE (Connecting, Organizing, Reflecting, Extending) sebagai skenario video yang valid dan praktis serta dapat membantu siswa kelas VIII memahami materi Pythagoras. Penelitian ini berjenis R&D (Reasearch and Development) dengan pendekatan ADDIE (Analisis, Desain, Pengembangan, Implementasi, dan Evaluasi) melalui angket validasi ahli materi, ahli media, dan respon siswa. Data diperoleh untuk mengetahui validitas dan kepraktisan pembelajaran video. Rata-rata gabungan penilaian ahli materi sebesar 3,53 dengan kriteria sangat baik, 3,63 dengan kriteria sangat baik untuk ahli media, dan tanggapan siswa terhadap video memperoleh rata-rata 3,05 kriteria baik pada uji coba kelas kecil dan 2,92 kriteria baik pada uji coba kelas besar. Video pembelajaran berbasis model CORE pada materi Pythagoras ini valid dan praktis digunakan dalam kelas, sesuai dengan hasil pengujian.
Co-Authors A. Zulijanto Afit Istiandaru Afit Istiandaru, Afit Ahlam, Muhammad Naufal Husni Andriyani Andriyani Dian Ariesta Yuwaningsih Haryadi Ida Ma&#039;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