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Faktorisasi Graf Baru Yang Dihasilkan Dari Pemetaan Titik Graf Sikel Pada Bilangan Bulat Positif Nevisa, Nova; Irawan, Wahyu Henky
CAUCHY Vol 3, No 3 (2014): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Faktor merupakan subgraf merentang dari suatu graf. Subgraf merentang terdiri dari himpunan pasangan titik yang tidak saling terhubung dan selalu berbentuk graf beraturan satu, ini dapat disebut sebagai graf yang memiliki 1-faktor. Ketika himpunan titik dari graf sikel Cn dipetakan pada bilangan bulat positif yang dibatasi oleh derajatnya maka akan menghasilkan graf baru Cn* yang memiliki 1-faktor dengan ciri-ciri fungsi tertentu. Tujuan penelitian ini adalah untuk mengetahui ciri-ciri fungsi yang menghasilkan graf baru Cn* yang dihasilkan dari graf Cn akan memiliki 1-faktor. Adapun Langkah-langkah untuk memperoleh hasil dari penelitian ini adalah: (1) menggambar graf sikel Cn, (2) menentukan kemungkinan-kemungkinan dari fungsi f(Cn) â†’{1,2}, (3) menentukan D(x), (4) menentukan s(x) dan S(x), (5) Menentukan graf baru Cn*=(Vâˆ—,Eâˆ—), (6) Faktorisasi graf baru Cn* dengan menunjukkan himpunan pasangannya. Hasil dari penelitian ini adalah ciri-ciri fungsi yang menghasilkan graf baru Cn* yang memiliki 1-faktor dengan membedakan untuk banyak titik ganjil dan banyak titik genap sebagaimana berikut:1. Fungsi dengan banyak n atau satu titik dipetakan ke 2 untuk n ganjil2. Fungsi dengan banyak n titik dipetakan ke 2 atau 1 untuk n genapBagi penelitian selanjutnya diharapkan dapat mengembangkan penelitian ini untuk graf lainnya.

Algoritma Ford-Fulkerson untuk Memaksimumkan Flow dalam Pendistribusian Barang Nisa, Fahrun; Irawan, Wahyu Henky
CAUCHY Vol 3, No 4 (2015): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Algoritma Ford Fulkerson digunakan untuk mencari flow maksimum pada jaringan yang mempunyai satu titik sumber dan satu titik tujuan. Dengan mendefinisikan jalur pendistribusian barang sebagai jaringan, maka jaringan tersebut memiliki beberapa titik sumber dan beberapa titik tujuan. Untuk menyelesaikan permasalahan flow maksimum pada jaringan ini maka digunakan modifikasi Algoritma Ford-Fulkerson. Pada artikel ini akan ditunjukkan langkah-langkah mencari flow maksimum serta hasil yang diperoleh dengan menggunakan modifikasi Algoritma Ford-Fulkerson pada data simulasi tentang pendistribusian barang dengan lima titik sumber dan lima titik tujuan. Hasil dari penelitian ini merupakan bentuk modifikasi Algoritma Ford-Fulkerson, yaitu membentuk jaringan baru dengan menambahkan satu titik sumber utama dan satu titik tujuan utama pada jaringan baru, membentuk kapasitas di busur dari titik sumber utama ke beberapa titik sumber serta membentuk kapasitas di busur dari beberapa titik tujuan ke titik tujuan utama dengan nilai kapasitas maksimum dan memberi nilai flow awal sebesar nol. Selanjutnya memaksimumkan flow dari titik sumber utama ke titik tujuan utama menggunakan Algoritma Ford-Fulkerson, yaitu dengan melakukan pelabelan titik, menggunakan prosedur balik, dan mencari lintasan peningkatan sampai semua titik yang terlabel telah teramati dan titik tujuan utama tidak terlabel sehingga iterasi dihentikan. Berdasarkan hasil perhitungan didapatkan flow maksimum pada jaringan yang tidak dipartisi, pada jaringan yang dipartisi serta dengan membuat program di Matlab R2010a dengan nilai 45

Aplikasi Pengambilan Keputusan dengan Metode Tsukamoto pada Penentuan Tingkat Kepuasan pelanggan Agustin, Venny Riana Riana; Irawan, Wahyu Henky
CAUCHY Vol 4, No 1 (2015): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Tsukamoto method is one method of fuzzy inference system on fuzzy logic for decision making. Steps of the decision making in this method, namely fuzzyfication (process changing the input into kabur), the establishment of fuzzy rules, fuzzy logic analysis, defuzzyfication (affirmation), as well as the conclusion and interpretation of the results. The results from this research are steps of the decision making in Tsukamoto method, namely fuzzyfication (process changing the input into kabur), the establishment of fuzzy rules by the general form IF a is A THEN B is B, fuzzy logic analysis to get alpha in every rule, defuzzyfication (affirmation) by weighted average method, as well as the conclusion and interpretation of the results. On customers at the case, in value of 16 the quality of services, the value of 17 the quality of goods, and value of 16 a price, a value of the results is 45,29063 and the level is low satisfaction

ANALISIS PENALARAN ADAPTIF SISWA DALAM MENYELESAIKAN SOAL LITERASI MATEMATIKA TERINTEGRASI ISLAM DITINJAU DARI GAYA KOGNITIF Zahbi, Ud'hiyata; Irawan, Wahyu Henky
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 10, No 2 (2024)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v10i2.6232

This research was conducted to determine students' adaptive reasoning in solving Islamic integrated mathematical literacy questions based on cognitive style. This research uses an exploratory qualitative approach with a phenomenological nature. The subjects of this research consisted of 6 students from class VIII Islamic Junior High School Al-Faqih Nganjuk which consists of 3 field dependent type students and 3 field independent type students. Data collection was carried out by administering adaptive reasoning tests and interviews. The data obtained was transcribed and then analyzed based on the adaptive reasoning indicators of Killpatrick et al.'s theory. which consists of making conjectures, giving reasons for a statement, drawing conclusions from a statement, checking the validity of an argument, and finding patterns in mathematical phenomena. Based on data analysis from 6 subjects with different cognitive styles, differences were found in their adaptive reasoning. Students with a field dependent cognitive style do not meet the adaptive reasoning indicators in solving Islamic integrated mathematical literacy questions. They are only able to fulfill 3-4 indicators out of 5 indicators of adaptive reasoning. Meanwhile, students with a field independent cognitive style fulfill the adaptive reasoning indicators in solving Islamic integrated mathematics literacy problems.

Konsep Pembelajaran Matematika di Kelas 1 Sekolah Dasar I’zaati, Lailatul; Irawan, Wahyu Henky; Abdussakir, Abdussakir
Indo-MathEdu Intellectuals Journal Vol. 5 No. 3 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i3.1349

The purpose of this study is to describe the concept of mathematics learning at the elementary school level. The focus of this study is how the concept of mathematics learning at the elementary school level. This study uses a qualitative approach through the method used is library research for data collection. Data collection is carried out through books and literacy resources related to the concept of mathematics learning in elementary schools. The main source of articles comes from various journals indexed on google scholar. Data analysis is carried out qualitatively consisting of data reduction, data presentation, and conclusion drawing. The result of this study is that children at the elementary school level are children in the age range of 7-12 years old and are in the concrete operational stage where in this concrete operational stage children can understand logical operations that are reversible and conservation

Kreativitas Guru dalam Meningkatkan Minat Belajar Siswa pada Mata Pelajaran Matematika di MI Tarbiyyatul Arifin Rahma, Mia; Irawan, Wahyu Henky; Abdussakir, Abdussakir
Indo-MathEdu Intellectuals Journal Vol. 5 No. 3 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i3.1354

Education is a component that is used as a reference for the progress of a nation. This research aims to examine teachers' creativity in learning mathematics to increase students' interest in learning. A teacher must have great creativity in the learning process so that students can be interested in learning mathematics. This research is qualitative that took place in MI Tarbiyyatul Arifin. Data collection was carried out through structured interviews, observation and documentation. Data analysis is carried out by collecting data, presenting it and drawing conclusions. The results of the research show that the creativity that an educator possesses is product creativity and person creativity. Product creativity in the mathematics learning process uses media in concrete ways that use real-life examples. The personal creativity that an educator possesses is that he or she has a good personality, is intelligent, has new ideas in the learning process, is friendly, is good at communicating and can dominate the class well. The learning process can also be enjoyable and comfortable for students to learn. This increases the interest of MI Tarbiyyatul Arifin students in learning

Integrasi Nilai-Nilai Islam dalam Pembelajaran Matematika di Madrasah Ibtidaiyyah Ilma, Fatkhul; Irawan, Wahyu Henky; Abdussakir, Abdussakir
Indo-MathEdu Intellectuals Journal Vol. 5 No. 3 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i3.1367

The purpose of this research is to find out the integration of Islamic values in mathematics learning at Madrasah Ibtidaiyyah. This study uses a library research method or library research, literature study is a research method that utilizes library sources as a source in research activities. The data collection technique used in this literature research is to look for data on matters or variables in the form of notes, books, papers, or articles and journals. After the data is collected, content analysis is carried out to get the right and accurate conclusion formulation. Data analysis consists of data reduction, data presentation, and conclusion drawing. The results of this study found several discussions regarding the Definition of Integration of Islamic Values, Mathematics Learning, Principles of Knowledge Integration, Strategies for the Integration of Islamic Values in Mathematics Learning, and Integration of Islamic Values in Mathematics Learning. The conclusion of this study is that the integration of Islamic values in the mathematics learning process at Madrasah Ibtidaiyah initially felt difficult to implement. Especially for mathematics subjects that have a lot to do with numbers, formulas, and geometric construction, it will feel easy to apply if we as educators always try to find gaps to instill Islamic religious values in classroom learning

Upaya meningkatkan pemecahan masalah matematika siswa kelas XI pada materi aplikasi turunan fungsi aljabar menggunakan LKPD berbasis PBL Firmansyah, Achmad; Irawan, Wahyu Henky
Jurnal Kajian Pembelajaran Matematika Vol 8, No 1 (2024): JURNAL KAJIAN PEMBELAJARAN MATEMATIKA
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um076v8i12024p39-46

Penelitian ini berawal dari permasalahan Kelas XI Agama MAN Kota Pasuruan yaitu menyelesaikan masalah Aplikasi Turunan Fungsi Alajabar pada tahun pelajaran 2022/2023. Berdasarkan hasil observasi diperoleh kesimpulan bahwa kinerja siswa dalam mata pelajaran matematika kurang, guru masih menguasai pembelajaran, sedangkan siswa yang kurang paham biasanya tidak bertanya. Dari permasalahan tersebut, tujuan penelitian ini yaitu mengenai upacaya meningkatkan kemampuan pemecahan masalah siswa pada materi aplikasi turunan fungsi aljabar menggunakan LKPD berbasi PBL. Penelitian ini dilakukan dengan mengambil subjek penelitian siswa kelas XI Agama MAN Kota Pasuruan yang berjumlah 34 siswa. Jenis penelitian ini adalah penelitian tindakan kelas. Penelitian ini dilakukan dalam 2 (dua) siklus yang masing-masing terdiri dari 4 tahapan yaitu. perencanaan, tindakan, pengamatan dan refleksi. Ada dua teknik pengumpulan data yaitu tes dan observasi. Hasil penelitian menunjukkan bahwa kemampuan pemecahan masalah siswa pada materi aplikasi turunan fungsi aljabar menggunakan LKPD berbasis PBL meningkat. Hal ini berdasarkan hasil tes siklus I rata-rata kemampuan pemecahan masalah siswa menggunakan LKPD berbasis PBL yaitu 81,5. Sedangkan siklus II rata-rata kemampuan pemecahan masalah siswa menggunakan LKPD 83,5. Berdasarkan hasil penelitian ini, siswa. Kemudian selain LKPD, siswa juga diberikan soal tes untuk meningkatkan kemampuan individunya. Hasil rata-rata tes pada siklus I sebesar 85,7. Sedangkan hasil rata-rata tes pada siklus II adalah 88,9. Hasil dari pengujian LKPD dan tes pada masing masing siklus menyatakan meningkat walaupun presentase tidak besar yaitu masing masing 2,45% dan 3,7%. Penelitian serupa diharapkan dapat dilakukan untuk memberikan rekomendasi tentang upaya peningkatan kemampuan pemecahan masalah matematika menggunakan LKPD berbasis PBL pada materi yang lain

Students Proportional Reasoning Level in Solving Ill Structured Problem on Proportion Material in Terms of Gregorc’s Thinking Style Pramono, Yasmine Az Zahra Awwalina; Abdussakir, Abdussakir; Irawan, Wahyu Henky; Sujarwo, Imam
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 9 No 1 (2025): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medivesveteran.v9i1.3568

This study examines the level of proportional reasoning in students when solving ill-structured problems concerning proportions, in terms of Gregorc's cognitive styles. A qualitative approach was used, involving 8 participants from grade VIII-B of MTsN Kota Batu. Based on the analysis, it can be concluded that students' cognitive styles affect their understanding of proportional reasoning. Students with a concrete sequential (CS) thinking style showed difficulty in understanding the concept of proportional and still relied on trial-and-error approaches, indicating they are at Level 0 (Non-proportional reasoning). Students with a abstract sequential (AS) and concrete random (CR) thinking style have used some visual or concrete aids, although they have not fully transitioned to a more systematic mathematical approach, placing them at Level 1 (Manipulative Proportional Reasoning). Meanwhile, students with an abstract random (AR) thinking style were able to use mathematical models to solve proportional problems but still faced challenges in consistently applying the correct method, leading them to Level 3 (Pre-multiplicative Proportional Reasoning). The differences in students' cognitive styles affect how they understand and apply the concept of proportional reasoning, including their ability to choose the appropriate method and maintain consistency in its application.

Konsep Pembelajaran Matematika di Kelas 1 Sekolah Dasar I’zaati, Lailatul; Irawan, Wahyu Henky; Abdussakir, Abdussakir
Indo-MathEdu Intellectuals Journal Vol. 5 No. 3 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i3.1349

The purpose of this study is to describe the concept of mathematics learning at the elementary school level. The focus of this study is how the concept of mathematics learning at the elementary school level. This study uses a qualitative approach through the method used is library research for data collection. Data collection is carried out through books and literacy resources related to the concept of mathematics learning in elementary schools. The main source of articles comes from various journals indexed on google scholar. Data analysis is carried out qualitatively consisting of data reduction, data presentation, and conclusion drawing. The result of this study is that children at the elementary school level are children in the age range of 7-12 years old and are in the concrete operational stage where in this concrete operational stage children can understand logical operations that are reversible and conservation

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