Articles
Modeling Plant Stems Using the Deterministic Lindenmayer System
Juhari, Juhari;
Alghar, Muhammad Zia
CAUCHY Vol 6, No 4 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang
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DOI: 10.18860/ca.v6i4.11591
Plant morphology modeling can be done mathematically which includes roots, stems, leaves, to flower. Modeling of plant stems using the Lindenmayer System (L-system) method is a writing returns that are repeated to form a visualization of an object. Deterministic L-system method is carried out by predicting the possible shape of a plant stem using its iterative writing rules based on the original object photo. The purpose of this study is to find a model of the plant stem with Deterministic Lindenmayer System method which will later be divided into two dimensional space three. The research was conducted by identifying objects in the form of pine tree trunks measured by the angle, thickness, and length of the stem. Then a deterministic and parametric model is built with L-system components . The stage is continued by visualizing the model in two dimensions and three dimensions. The result of this research is a visualization of a plant stem model that is close to the original. Addition color, thickness of the stem, as well as the parametric writing is done to get the results resembles the original. The iteration is limited to less than 20 iterations so that the simulation runs optimal.
Ethnomathematics: The exploration of fractal geometry in Tian Ti Pagoda using the Lindenmayer system
Muhammad Zia Alghar;
Natasya Ziana Walidah;
Marhayati Marhayati
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 5 No 1 (2023): Alifmatika - June
Publisher : Fakultas Tarbiyah Universitas Ibrahimy
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DOI: 10.35316/alifmatika.2023.v5i1.57-69
This study explores the concept of fractal geometry found in the Tian Ti Pagoda. Fractal geometry is a branch of mathematics describing the properties and shapes of various fractals. A qualitative method with an ethnographic approach is used in this study. Observation, field notes, interviews, documentation, and literature study obtained research data. The observation results were processed computationally using the Lindenmayer system method via the L-Studio application to view fractal shapes. The results show that the concept of fractal geometry is contained in the ornaments on the Tian Ti Pagoda. The length and angles of each part of the ornament influence the fractal shape of the Tian Ti Pagoda ornament. In addition, the length and angle modifications resulted in several variations of the Tian Ti Pagoda fractal. The findings from this study can be used as an alternative medium for learning mathematics lectures, especially in applied mathematics, dynamical systems, and computational geometry.
Integrative Mathematics: Mathematical Concepts in Hadiths with the Theme of Uqiyah
Muhammad Zia Alghar;
Aam Choirotul Cholidiyah;
Dwi Setiawati Radjak
West Science Islamic Studies Vol. 1 No. 01 (2023): West Science Islamic Studies
Publisher : Westscience Press
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DOI: 10.58812/wsiss.v1i01.285
The study of Islamic-integrated mathematics has goals that align with national education's goals, namely creating students who are devoted to God Almighty and have noble character. Islamic-integrated mathematics plays a role in collaborating mathematical concepts derived from the Quran and hadith. In the books of hadith, the discussion of uqiyah is always related to mathematical concepts. This study aims to explore the mathematical concepts contained in the uqiyah-themed traditions. A qualitative method with a literature review approach was used in this research. Data were obtained from analysing relevant books, books of hadith, journal articles, and proceedings. The results of this study revealed the existence of the concept of linear equation, the idea of equivalent comparison, the concept of function, and the concept of equation of a line through two points in the hadith related to uqiyah. In addition, examples of the application of mathematical integration in elementary and junior high school mathematics problems are presented
Exploration of the Concept of Relation and Function in the Quran with the Theme of Q.S. Ar-Rahman
Dwi Setiawati Radjak;
Muhammad Zia Alghar;
Aam Choirotul Cholidiyah
West Science Islamic Studies Vol. 1 No. 01 (2023): West Science Islamic Studies
Publisher : Westscience Press
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DOI: 10.58812/wsiss.v1i01.309
Islamic value-integrated mathematics education not only plays a role in training students' thinking and reasoning but also forms a human personality that is faithful an31 2d pious to Allah SWT. This research aims to reveal the concept of relationship and function in Q.S. Ar-Rahman. The research was conducted with a qualitative approach with the type of literature study. The data was obtained through literature studies from the Quran, books, journals, proceedings, and scientific papers. The results showed the concept of relation and function in Q.S. Ar-Rahman. The concept of relation is found in the arrangement of letters to verse numbers and many letters to verse numbers. The concept of function found consists of bijective, surjective, and injective functions. The concepts of relation and function are then represented as graphs and ordered pairs. The results of this research can be used in learning mathematics material on relations and functions at junior high and senior high school levels.
A STRATEGI MEMPREDIKSI TINGKAT KELULUSAN MAHASISWA UNIVERSITAS MUHAMMADIYAH PONOROGO DENGAN TEORI FUZZY TSUKAMOTO
Ranti Kurniasih;
Annafi Awantagusnik;
Muhammad Zia Alghar
MUST: Journal of Mathematics Education, Science and Technology Vol 9 No 1 (2024): JULY
Publisher : Universitas Muhammadiyah Surabaya
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DOI: 10.30651/must.v9i1.22830
The purpose of this research is to create a mathematical model related to fuzzy logic to predict student graduation rates starting in 2024. This type of research is applied research. The method used is the tsukamoto method in fuzzy analysis and checking the accuracy of forecasting with MAPE. Data collection techniques are carried out by collecting primary data and secondary data. The primary data used is data on new student admissions, many graduates, and many graduates from Muhammadiyah Ponorogo University in 2021, 2022, and 2023. Secondary data is obtained from books, articles, and documents relevant to Tsukamoto fuzzy. The results of the Tsukamoto fuzzy analysis with MAPE testing show that the fuzzy model built is at a percentage of 5.3%. This means that the fuzzy system has excellent forecasting capabilities in predicting student graduation rates in 2021, 2022, and 2023 and can be used to predict many graduates in 2024.
Rekonstruksi Model Matematis Pada Ornamen Pagoda Tian Ti Menggunakan Lindenmayer System
Muhammad Zia Alghar;
Hakmi Rais Fauzan
Jurnal Multidisiplin West Science Vol 3 No 02 (2024): Jurnal Multidisiplin West Science
Publisher : Westscience Press
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DOI: 10.58812/jmws.v3i02.976
Ornamen merupakan hiasan memiliki nilai seni dan budaya yang tinggi. Salah satu ornamen yang memiliki nilai budaya yang tinggi dapat ditemukan pada bangunan berbudaya, seperti Pagoda Tian Ti. Penelitian ini berujuan untuk mengembangkan bentuk-bentuk ornamen yang ada pada Pagoda Tian Ti secara matematis. Metode yang digunakan dalam penelitian ini yaitu lindenmayer system. Data diperoleh berdasarkan observasi lapangan, wawancara, dan studi literatur. Hasil penelitian menunjukkan bahwa ornamen pada Pagoda Tian Ti dapat dikaji secara matematis dengan L-system. Rekonstruksi ornamen dengan l-system juga menghasilkan bentuk-bentuk ornamen yang baru. Rekonstruksi ini didasarkan pada perubahan rasio, perubahan bentuk dasar, dan perubahan sudut. Hasil rekonstruksi ini menjadi jembatan bagi penelitian lainĀ selanjutnya dalam merekonstruksi ornamen-ornamen berbudaya lainnya secara matematis.
The Failure of National Madrasah Science Competition Students in Solving Islam-Integrated Mathematics Problem on Triangle Material
Rofiki, Imam;
Muhammad Zia Alghar
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 7 No. 2 (2024): JRPIPM ARPIL 2024
Publisher : Universitas Negeri Surabaya
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DOI: 10.26740/jrpipm.v7n2.p151-170
Students, especially madrasah students, need to master Islamic integrated mathematics problem-solving. However, many madrasah students need help to solve Islamic-integrated mathematics problems. The failure occurs in one part and several interrelated parts of the solution. Therefore, this study aims to explore the failure of madrasah science competition students at the national level in solving Islamic integrated mathematics problems on triangle material. The research was conducted qualitatively on 29 students at the Madrasah Tsanawiyah (MTs) or equivalent level who participated in the national madrasah science competition, and they failed to solve Islamic integrated mathematics problems on triangle material. The research instrument was a triangle problem given during the National Madrasah Science Competition (KSM) in 2023. The results showed five categories of failure: failure to provide a correct and complete process, failure to integrate Islamic values, failure to use mathematical concepts, failure to use mathematical principles, and failure to apply relevant strategies. This research contributes to teachers by characterizing student failures that can be used as a guideline in designing learning strategies that can overcome student failures. In addition, teachers can provide scaffolding to students according to the type of failure.
Integrasi Matematika dan Islam: Logika Matematika dalam Al-Qur'an
Alghar, Muhammad Zia;
Afandi, Muhammad Irfan
Fahima Vol 3 No 1 (2024): Fahima
Publisher : Program Pascasarjana UNU Surakarta
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DOI: 10.54622/fahima.v3i1.144
One of the goals of national education is to form students who are faithful and devoted to God Almighty. Islamic-integrated mathematics learning is a bridge to achieving this goal. This study aims to explore the verses in the Quran related to the concept of mathematical logic. A literature review using qualitative research was conducted in this research. Data were obtained from the Quran, the Book of Tafsir, and relevant journal articles. The results showed the concept of mathematical logic in the Quranic verses. The conjunction form is found in surah Al-Baqarah verse 25, the disjunction form is found in surah Al-Balad verses 12 to 16, and the negation form is found in surah Al-Kafirun verses 2 to 5. Implication form is found in surah Al-Fatihah verses 6 and 7. The results of this study can be a reference for learning resources in mathematical logic and logic and set integrated with Islam at the school and lecture levels.
Rancangan Pembelajaran Matematika Terintegrasi Islam melalui Problem Based Learning pada Materi Peluang Majemuk
Alghar, Muhammad Zia
Indonesian Journal of Teaching and Learning (INTEL) Vol. 3 No. 3 (2024)
Publisher : Edupedia Publisher
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DOI: 10.56855/intel.v3i3.1136
This study aims to examine the design of Islamic integrated mathematics learning through Problem Based Learning model on compound chance material. This research method uses a qualitative approach with the type of literature study. The learning model is carried out through problem-based learning (PBL) with an Islamic integration approach, namely mathematics to deliver al-Quran. The data used refer to various literatures such as the Qur'an, journal articles, books, and documents relevant to Islamic integrated mathematics. The results showed that Islamic integrated mathematics learning can be designed through PBL model on compound chance material. The stages in PBL model Islamic integrated learning are carried out through 5 stages, namely 1) orienting students to the problem, 2) organizing students, 3) guiding group investigations, 4) presenting work, and 5) evaluating the problem-solving process. This research contributes to providing a design for Islamic integrated mathematics learning with PBL models that can be applied and used for teachers and academics in the field of math education.
Systematic Literature Review: Islamic Integrated Maths from Hadith
Alghar, Muhammad Zia;
Radjak, Dwi Setiawati;
Santoso, Ahmad
MAXIMA : Jurnal Pendidikan Matematika Vol. 1 No. 2 (2024): MAXIMA: Jurnal Pendidikan Matematika
Publisher : Universitas KH. Mukhtar Syafaat Banyuwangi
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DOI: 10.30739/maxima.v1i2.2780
Education in Indonesia aims to create students who are ethical, moral, and devoted to God Almighty. Islamic integrated mathematics learning is one of the bridges to achieve this goal. This research aims to discover and explore Islamic integrated mathematics derived from hadith. The systematic literature review method was used in this research. The data used were 20 scientific papers in the 2019-2023 range from the Google Scholar database obtained through the Publish and Perish application. Data was analyzed by identifying, reviewing, comparing, and interpreting all data. The results showed various hadith themes and mathematical concepts used in Islamic integrated mathematics. The results of this study can be helpful for teachers and lecturers as a learning resource to be applied in learning Islamic integrated mathematics.