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A Fractional-Order Leslie-Gower Model with Fear and Allee Effect Adin Lazuardy Firdiansyah; Dewi Rosikhoh
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.17336

Abstract

In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results.        
Designing learning trajectory based on Qur’an and Hadith: A case of fractions at Madrasah Ibtidaiyah Dewi Rosikhoh; Abdussakir Abdussakir; Fawad Ali; M Islahul Mukmin
International Journal of Trends in Mathematics Education Research Vol 5, No 3 (2022)
Publisher : SAINTIS Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (487.493 KB) | DOI: 10.33122/ijtmer.v5i3.123

Abstract

Islamic-based educational institutions needed to internalize Qur’an and hadith in every lesson. Fractions were one of the main subjects of mathematics taught at the elementary school level. The purpose of the study was to design mathematics learning to fractions based on Qur’an and hadith at Madrasah Ibtidaiyah. This study used a qualitative research method with a design research approach of development research type. The results of the study revealed that a learning design could be implemented with a scientific learning approach in fractions learning based on Qur’an and hadith. The verses of the Qur’an and hadith that explicitly mentioned fractional numbers were displayed at the observing stage. Each fractional number in the Qur’an and hadith was illustrated with a length model. Based on the fractional numbers mentioned in the observing stage, students were then directed to submit nutmeg questions in the questioning stage. The questions at the questioning stage were appropriate to the material, then discussed at the reasoning stage while still applying student-centered learning.
EXPERIENCED TEACHERS’ PERCEPTIONS: MATH-FOCUSED STEAM LEARNING Dewi Rosikhoh; Liny Mardhiyatirrahmah; Abdussakir Abdussakir; Ahmad Abtokhi; Imam Rofiki
Abjadia : International Journal of Education Vol 4, No 2 (2019): Abjadia
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/abj.v4i2.8123

Abstract

Science, technology, engineering, arts, and mathematics (STEAM) have been applied in various countries because they have been able to answer the challenges of the globalization era. The implementation of STEAM at school has demanded that teachers have a role in making a relationship between disciplines in science contained in STEAM. The purpose of this research was to describe the perceptions of experienced teachers about math-focused STEAM learning. The research was a descriptive study on 14 vocational high school mathematics teachers in Malang, Indonesia. They had 20-30 years of teaching experience. Data were collected using essay questionnaires. The result showed that their perceptions of STEAM learning were positive. However, they also said that there were several obstacles to math-focused STEAM learning. The first obstacle was the unavailability of supporting literature. The second obstacle was that there were teachers who have no received training. The third obstacle was only a limited number of mathematics material that can be applied in STEAM learning. Additionally, the teacher stated that mathematics was more suitable as supporting contain in STEAM learning than as the primary focus.
A Fractional-Order Leslie-Gower Model with Fear and Allee Effect Firdiansyah, Adin Lazuardy; Rosikhoh, Dewi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.17336

Abstract

In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results.        
The Effect of Student Adversity Quotient on Mathematics Test Scores Using PISA Questions Firdiansyah, Adin Lazuardy; Rosikhoh, Dewi
Jambura Journal of Mathematics Education Vol 5, No 1: Maret 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v5i1.21022

Abstract

This research aimed to determine the effect of student adversity quotient (AQ) on mathematic test scores of 12th-grade students in Pademawu High School, Pamekasan for geometry material. The questions used in the mathematic tests were PISA questions. The type of research was quasi-experimental research applying a quantitative method, and the populations selected were all students of class XII MIPA, as many as 115 people. By using a purposive sampling technique, the sample members were 90 people. Data was collected using questionnaires and tests. The questionnaire used contained 30 daily events, where each event had 2 questions. The math test contained 2 geometry questions. Furthermore, data collected was analysed using descriptive statistical and simple linear regression analysis. It was obtained that the regression model  Y=24,328+0,373X with Y was math test scores and X was AQ scores. From the model, the result showed that there was a significant positive interaction of AQ on the results of mathematic tests at 12th-grade students in Pademawu High School.
Effectiveness: Integrated Mathematics Module of the al-Qur'an and Hadith with Internalization of Madurese Culture and Religious Moderation Rosikhoh, Dewi; Islamiyah, Tsuwaibatul; Wadiah, Jauharotul; Hikmah, Dhurrotul
ARITHMETIC: Academic Journal of Math Vol. 6 No. 2 (2024): Edisi November
Publisher : Institut Agama Islam Negeri Curup

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29240/ja.v6i2.10022

Abstract

Bilangan pecahan merupakan salah satu topik matematika yang dianggap sulit oleh peserta didik. Hal ini sejalan dengan data di lapangan bahwa pemahaman peserta didik pada tingkat Sekolah Dasar terhadap konsep pecahan masih sangat rendah. Tujuan penelitian ini yakni untuk mengetahui efektifitas bahan ajar bilangan pecahan berbasis al-Qur’an dan hadis dengan internalisasi moderasi beragama serta budaya Madura untuk Sekolah Dasar atau Madrasah Ibtidaiyah kelas V. Penelitian ini merupakan penelitian deskriptif kuantitatif. Uji efektifitas dilakukan melalui uji coba terbatas dengan melibatkan 6 peserta didik kelas V SD Islam Matsaratul Huda Pamekasan. Instrumen yang digunakan yakni angket respon dan lembar observasi peserta didik. Hasil penelitian menunjukkan bahwa bahan ajar yang dikembangkan dapat dikategorikan efektif. Hal ini berdasarkan rata-rata skor hasil angket respon 100% dan rata-rata skor hasil observasi 86%. Dengan demikian, bahan ajar yang diimplementasikan dapat memfasilitasi peserta didik dalam belajar matematika. Bahan ajar yang diimplementasikan dapat membelajarkan al-Qur’an dan hadis. Bahan ajar yang diimplementasikan dapat membelajarkan nilai-nilai moderasi beragama. Bahan ajar yang diimplementasikan juga dapat memberikan andil dalam melestarikan budaya Madura.
Pembelajaran Pola Bilangan melalui Permainan Tradisional Nasi Goreng Kecap Dewi Rosikhoh; Abdussakir Abdussakir
Jurnal Tadris Matematika Vol. 3 No. 1 (2020)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2020.3.1.43-54

Abstract

The development of games in the technological acceleration era nowadays endangers the extinction of traditional games. Therefore, the integration of Learning with Cultural Local Wisdom was needed to keep those cultures. The purpose of this research was to create an integrated learning design using number patterns material through the traditional game of Nasi Goreng Kecap. This research is a qualitative research with a design research approach and development studies type. The results showed that Nasi Goreng Kecap's traditional game had five steps in the process of the game. The second stage of this game contains the concept of number patterns. That's why, through this Nasi Goreng Kecap traditional game, it was able to be designed a process of learning that integrates mathematics with local wisdom culture. In those designed for integrative learning, students were arranged to be several groups with a maximum of each group was six students. Each group was played those games until the second stage only. Group worksheets had been provided by the teacher to direct the students in making patterns generalization from the second step of the Nasi Goreng Kecap traditional game.
Efektivitas Pembelajaran Etnomatematika “Permainan Engklek” Terhadap Pemahaman Konsep Geometri Siswa Sekolah Dasar Dini Wahyu Mulyasari; Abdussakir Abdussakir; Dewi Rosikhoh
Jurnal Tadris Matematika Vol. 4 No. 1 (2021)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2021.4.1.1-14

Abstract

Mathematics learning in elementary schools frequently encountered obstacles in material delivery. It was due to the abstract concepts of mathematics and the character of students who entered the concrete operational phase. Ethnomathematics learning could become an effort to overcome those obstacles. The purpose of this study was to determined the effectiveness of learning ethnomathematics "engklek-game" on the understanding of geometry concept for third-grade students of SDN 4 Sepanjang Glenmore. This study used a mixed-method approach with the type of experimental research one-group pretest-posttest design. Data collection techniques were through written tests and interviews. The quantitative data were analyzed using descriptive analysis and used paired sample t-test. The qualitative data was analyzed by reducing the data, presenting the data, and drawing conclusions. The results of the study showed that learning ethnomathematics "engklek-game" obtained Sig. (2-tailed) of 0.000, so that it had a significant effect on the understanding of the geometry concept of students in grade III SDN 4 Sepanjang Glenmore. Based on the results of the interview, it found that the student response was good. Teachers stated that students were enthusiastic during the learning, which led to an increase in learning outcomes before and after learning ethnomathematics "engklek-game."
Bilangan Pecahan dan Operasinya dalam Hadits Rosikhoh, Dewi; Abdussakir, Abdussakir
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 5 No 1: March - August 2020
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v5i1.1800

Abstract

Bilangan pecahan merupakan salah satu subjek matematika yang termuat dalam al-Qur’an dan hadits. Integrasi matematika dan al-Qur’an telah banyak dikaji, namun kajian matematika dalam hadits masih minim. Tujuan penelitian ini adalah untuk mengekplorasi bilangan pecahan dalam hadits beserta operasinya. Dengan adanya kajian ini maka dapat memberikan referensi bagi guru yang akan mengajar materi pecahan dan operasinya secara terintegrasi dengan hadits. Penelitian ini menggunakan metode deskriptif dengan studi pustaka. Hasil studi pustaka terdapat bilangan pecahan paling sederhana, pecahan satuan, dan pecahan campuran dalam hadits yang terdiri dari 13 bilangan yaitu 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/20, 2/3, 3 1/3, dan 5 1/3. Selain itu terdapat operasi hitung dasar matematika yakni penjumlahan, pengurangan, pembagian, dan perkalian pada bilangan pecahan dalam hadits.
Exploring Mathematical Concepts in Pèsapèyan Ling-Giling: A Traditional Game as Miniature of Bull Racing in Madura Island Rosikhoh, Dewi; Rofiqi, Rofiqi; Arjuna, Mohammad
Edumatika Vol 8 No 1 (2025): May 2025, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v8i1.4419

Abstract

Pèsapèyan ling-giling was one of the iconic local wisdom of Madura. This game was a miniature version of the bull race. In this game, wheels replaced the bull as the driving force. As a result, this game was suitable for players of all ages. This research aimed to explore mathematical concepts in the pèsapèyan ling-giling game. This research used a qualitative approach with an ethnographic research type. Researchers used taxonomic analysis to examine the internal structure of mathematical concepts within the stages of the pèsapèyan ling-giling game. The study showed that the pèsapèyan ling-giling game contained mathematical concepts in the stage of tool-making, game rules, gameplay, and playing field. The mathematical concepts found in pèsapèyan ling-giling were numbers (e.g. the concepts of order, ranking, estimation, and optimization), measurement (e.g. the concept of length, area, speed, and distance, geometry (e.g. the concepts of lines, rectangles, circles, blocks, symmetry, coordinates, and position), discrete mathematics (e.g. the concept of graphs, relations and functions, and combinatorics) proportion, and probability. Thus, the traditional game of pèsapèyan ling-giling could be a learning medium for these mathematical concepts at elementary and secondary schools.