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All Journal International Journal of Evaluation and Research in Education (IJERE) Jurnal Matematika JURNAL MAGISTER HUKUM UDAYANA Mimbar PGSD Undiksha Jurnal Informatika Jurnal Infinity Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains AKSIOMA: Jurnal Program Studi Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Edukasi Matematika dan Sains Jurnal Gantang Al-Jabar : Jurnal Pendidikan Matematika Jurnal Penelitian Pendidikan IPA (JPPIPA) Jurnal Cendekia : Jurnal Pendidikan Matematika Jurnal Basicedu Jurnal EDUTECH Undiksha JETL (Journal Of Education, Teaching and Learning) Edumaspul: Jurnal Pendidikan Global Conference Index JPM : Jurnal Pendidikan Matematika Jurnal Matematika UNAND Jurnal Pendidikan dan Kebudayaan FARABI: Jurnal Matematika dan Pendidikan Matematika Journal Of World Science Jurnal Basicedu Jurnal Infinity
I Made Arnawa
Universitas Andalas
Aerospace Engineering Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Social Sciences Other

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FAKTORISASI MATRIKS Nevi Nurmalasari; Yanita Yanita; I Made Arnawa
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.242-248.2019

Abstract

Faktorisasi suatu matriks adalah suatu cara untuk menjadikan suatu matriks menjadi dua atau beberapa perkalian matriks. Misalkan A adalah suatu matriks, maka faktorisasi dari A dapat berbentuk A = A1A2 atau A = A1A2A3 · · · , dengan ukuran-ukuran yang disesuaikan untuk Ai. Menyelesaikan suatu faktorisasi ada yang menggunakan nilai/vektor eigen dan ada yang tanpa menggunakan nilai/vektor eigen.Kata kunci : faktorisasi, nilai/vektor eigen, eliminasi Gauss, basis, proses Gram-Schmidt
FUZZY BAG DAN APLIKASINYA DALAM PENGAMBILAN KEPUTUSAN MUTHIA GUSRIATI; ADMI NAZRA; I MADE ARNAWA
Jurnal Matematika UNAND Vol 9, No 4 (2020)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.9.4.278-286.2020

Abstract

Pada penelitian ini dibahas tentang konsep fuzzy bag, kardinalitas fuzzy bag, operasi-operasi pada fuzzy bag serta aplikasinya dalam pengambilan keputusan.Kata Kunci: Fuzzy bag, kardinalitas fuzzy bag, operasi-operasi pada fuzzy bag
Sifat Transformasi Linier Isometri, Operator Simetris, dan Teorema Spektral Lathifah Mudhiani; I Made Arnawa; Nova Noliza Bakar
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.171-178.2019

Abstract

Isometri adalah suatu transformasi linier dari ruang hasilkali dalam ke ruang hasilkali dalam yang memenuhi beberapa aksioma. Operator linier pada ruang hasilkali dalam V ke V yang memenuhi T(v), w = v, T(w) , ∀v, w ∈ V , disebut operator self adjoint. Operator simetris adalah operator linier yang bernilai riil. Operator self adjoint merupakan konsep pendukung dari teorema spektral. Tulisan ini membahas sifat transformasi linier isometri, operator simetris, dan teorema spektral.Diterima: Direvisi: Dipublikasikan :Kata Kunci: Isometri, Self Adjoint, Spektral
Semidirect Products Putri May Windy; I Made Arnawa; Yanita Yanita
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.255-259.2019

Abstract

Misalkan G adalah grup perkalian, dan X adalah grup Abelian terhadap operasi penjumlahan. Misalkan µ : G → Aut(X) adalah homomorfisma grup. ”Semidirect products” dari X dan G relatif ke µ didefinisikan sebagai X oµ G = {(x, a) | x ∈ X, a ∈ G}, dengan operasi (x1, a1)(x2, a2) = (x1 +µ(a1)[x2], a1a2), untuk x1, x2 ∈ X dan a1, a2 ∈ G. Tulisan ini membahas bagaimana hubungan semidirect products dengan homomorfisma grup dan sifat-sifat semidirect products.Kata Kunci: Grup, Subgrup, Subgrup Normal, Homomorfisma, Isomorfisma, Semidirect Products
EXTERNAL DAN INTERNAL DIRECT PRODUCTS PADA GRUP HESTI SRI HANDANI; I MADE ARNAWA; NOVA NOLIZA BAKAR
Jurnal Matematika UNAND Vol 9, No 4 (2020)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.9.4.373-381.2020

Abstract

Misalkan G1 dan G2 suatu grup dengan operasi biner, maka grup (G1×G2, ~) disebut grup external direct products dari G1 dan G2. Misalkan G adalah suatu grup dengan operasi biner, dan H1 dan H2 subgrup dari G. G disebut internal direct products dari H1 dan H2, jika setiap elemen dari H1 komutatif dengan setiap elemen dari H2, dan setiap elemen dari G dapat dinyatakan secara tunggal sebanyak hasil kali dari elemen H1 dan H2.Kata Kunci: Grup, Subgrup, Koset, Subgrup Normal, Fungsi, Isomorfisma Grup, External Direct Products, Internal Direct Products
Teorema Sylow Khoberlin Khoberlin; I Made Arnawa; Nova Noliza Bakar
Jurnal Matematika UNAND Vol 8, No 1 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.1.150-156.2019

Abstract

Tulisan ini membahas tentang Teorema Sylow. Misalkan G suatu grup dengan orde hingga, v suatu bilangan bulat positif, dan v membagi orde dari G, yang akan dibahas adalah syarat cukup agar G memuat subgrup dengan orde v.Kata Kunci: Grup, Orde, Subgrub, Teorema Sylow.
The Development of Learning Device Based on Cognitive Conflict to Improve Mathematics Problem Solving Skills for Students in Madrasah Tsanawiyah Silvia Rahayu; Ahmad Fauzan; Yerizon Yerizon; I Made Arnawa
Jurnal Gantang Vol 7 No 1 (2022): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (330.404 KB) | DOI: 10.31629/jg.v7i1.4416

Abstract

According to the National Council of Mathematics Teachers (NCTM) 2005, Mathematics is a means of problem-solving. NCTM also emphasizes that problem solving cannot be separated from learning Mathematics because problem-solving is an integral part of learning Mathematics. This study aims to improve the mathematical problem-solving ability of students in the Madrasah Tsanawiyah by using a cognitive conflict-based learning model. The subjects of this study were students of class VII Madrasah Tsanawiyah. This type of research is development research. Data collection was carried out in 3 stages, the investigation stage, the prototype phase, and the assessment phase as the level of implementation and achievement in using the cognitive conflict-based learning model. The instruments used in this study were in the form of interview guidelines, questionnaires, and observation sheets. The data analysis carried out is the analysis of data on the validity, practicality, and effectiveness of learning tools. The results of problem-solving abilities can be seen from the results of students' final tests in each meeting which always increase. Based on the study's results, it can be concluded that Cognitive Conflict-based mathematics learning tools can improve students' mathematical problem-solving abilities.
Modelling for changing transitive active imperative sentences to passive imperative sentences with algebraic structure approach Yuliana Shinta; Bahri Susila; Arnawa Imade
Jurnal Informatika Vol 16, No 2 (2022): May 2022
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jifo.v16i2.a25423

Abstract

The active imperative sentences often tend to sound harsh. The sentence has a commanding meaning and ends with an exclamation mark. In the Indonesian language, to be more polite, the sentence uses the word politeness and a different sentence structure. These more polite imperative sentences are called passive imperative sentences. Changing an active imperative sentence to a passive imperative sentence can be done mathematically through several stages. These stages are determining the set of word, and the set of word types, using binary operations to obtain the rules for changing the pronoun as an object to subject, determining the rules for substituting active verbs into passive verbs, determining algebraic structures for an active imperative sentence, specifying a set of politeness words, specifying rules for passive imperative sentence, transformation an active imperative sentence into a passive imperative sentence. The change method produces a mathematical model p to construct the more polite imperative sentence.
Hypothetical Learning Trajectory Sistem Persamaan Linear Dua Variabel Dengan Pendekatan Realistic Mathematics Education Belia Deciku; Edwin Musdi; I Made Arnawa; Suherman Suherman
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 1: Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 1 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i1.1781

Abstract

Materi Sistem Persamaan Linier Dua Variabel (SPLDV) menjadi materi prasyarat untuk ke tingkatan yang lebih tinggi. Alasan dilakukannya eksplorasi ini adalah untuk membuat suatu teknik pembelajaran/ Hipothetical Learning Trajectory (HLT) SPLDV dengan pendekatan Realistic Mathematics Education (RME). Penelitian ini menggunakan teknik perbaikan pemeriksaan yang terdiri dari 3 tahap, yaitu persiapan investigasi, rencana eksplorasi, dan pemeriksaan review. Subyek penelitian ini adalah 3 siswa SMPN 3 Lareh Sago Halaban. Ketiga siswa ini mewakili siswa dengan kapasitas tinggi, sedang, dan rendah. Hasil penelitian menunjukkan bahwa kerangka kondisi arahan pembelajaran spekulatif (HLT) yang dicobakan menunjukkan adanya strategi pembelajaran SPLDV yang dapat dilakukan dengan pendekatan RME. Demikian pula, strategi pembelajaran SPLDV berbasis RME dimulai dengan mempelajari peluang pertumbuhan dan ide-ide baru yang akan diperkenalkan. Selain itu, dalam pelaksanaan pembelajaran siswa menerapkan penemuan-penemuan ide materi baru terhadap masalah-masalah nyata yang diberikan. Dengan tujuan agar siswa dapat melibatkan ide materi SPLDV dalam berbagai situasi. Siswa memperoleh pemahaman tentang materi yang mereka atasi peluang pertumbuhan mereka sendiri. Peluang untuk berkembang seperti ini akan memperkuat pemahaman siswa yang mungkin menafsirkan materi SPLDV.
Hypothetical Learning Trajectory Berbasis Realistics Mathematics Education Maria Magdalena Zagoto; I Made Arnawa; Edwin Musdi; Firman Edi; Oskah Dakhi; Unung Verawardina
Edumaspul: Jurnal Pendidikan Vol 6 No 2 (2022): Edumaspul: Jurnal Pendidikan
Publisher : Universitas Muhammadiyah Enrekang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (330.41 KB) | DOI: 10.33487/edumaspul.v6i2.5263

Abstract

The purpose of this research was to produce a Hypothetical Learning Trajectory (HLT) for the addition of fractions with the same denominator using the context of löma typical food of Nias region. The learning approach used was Realistics Mathematics Education (RME). The research method used was design research. The research subjects were three fourth grade students of SDN 071104 Botohilitano with heterogeneous ability levels, namely low, medium and high ability. The research focused on designing HLT which was validated, revised and tested one-to-one with students. Data collection was carried out by collecting the results of the NLPD given, and interviewing students. Retrospective analysis of the one to one implementation showed that the context of the instrument used in the form of HLT and learner worksheets using the RME approach through literature study. The data collected was analyzed qualitatively. Based on the results of the analysis, it was found that students with medium and high abilities could understand the material quite well, while low ability students had difficulty in understanding the problems given.
Co-Authors ., Jenizon Adityawarman Hidayat Admi Nazra Afniati, Ilhami Ahmad Fauzan Ahmad Fauzan Ahmad Fauzan Ali Asmar Armiati Armiati Armiati Arnellis Arnellis, Arnellis Asmar, Ali Asrar, Astari Atmazaki Atmazaki Azwir Anhar Bahri, Susila Bana Kartasasmita Belia Deciku Bintang, As Cholis Sa’dijah Dony Permana Dwi Ratih Listiani Yusri Edwin Musdi Edy Tri Baskoro Elza Nora Yuliani Emi Suryani Putri Endah Zulfah Ermanto Ermanto Ermanto Fadila Suciana Feby Rendani Firman Edi Fitri Andriani Hamdani, Vikri Handaru, Siti Mico Haswenova, Fadhilah Helma Helma HESTI SRI HANDANI Hidayah, Irma Rachmah I Ketut Ardana Indang Dewata Intan Parwati Pane Irwan Irwan Ita Desnatalia Jamaan, Elita Zusti Juandika, Suci Khairunnisa, Nurul Maulina Khoberlin Khoberlin Laswadi Laswadi Lathifah Mudhiani Lathiful Anwar Leni, Nofri Lisdiani Pamio Liza Wulandari Lufri Lufri M.Si Dr. I Wayan Rinda Suardika,S.Pd . Meria Ultra Gusteti MUTHIA GUSRIATI muyassar a'la Nevi Nurmalasari Nova Noliza Bakar Novia Safitri Nunung Septriani Nurhadi, Muhammad Oskah Dakhi Pane, Intan Parwati Permana, Dony Purwoko, Agus Putri May Windy Rasli, Amran Md. Rhomiy Handican Rusdi Rusdi Rusdi Sakinah, Hanifatus Selvia, Ayu Shelvia Mandasari SILVIA MARTASARI Silvia Rahayu Silviana Ekasari Asmar Sri Wahyuni Suherman Suherman Suherman, Suherman Syafrizal Wandi Syarifuddin, Hendra Unung Verawardina Utari sumarno Wirdaningsih, Sari Yanita Yanita Yarman Yarman Yarman Yarman Yarman, Yarman Yerizon Yerizon Yerizon Yerizon Yuliana Shinta Yulyanti Harisman Yuswar, Tarinur ZAGOTO, MARIA MAGDALENA Zulfah, Endah