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PENGEMBANGAN BUKU AJAR KALKULUS BERORIENTASI PADA UNITY OF SCIENCES (UoS) Ayus Riana Isnawati; Dinni Rahma Oktaviani
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 1 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

AbstrakPenelitian pengembangan ini bertujuan untuk menghasilkan buku ajar Kalkulus 1 yang berorientasi pada UoS serta sesuai dengan kurikulum di Jurusan Matematika UIN Walisongo. Subyek penelitian adalah mahasiswa jurusan Matematika UIN Walisongo Semarang. Teknik pengumpulan data adalah dengan kuesioner. Selanjutnya, data dianalisis menggunakan teknik analisis data kualitatif dan analisis data kuantitatif. Metode penelitian yang digunakan untuk mengembangkan buku ajar Kalkulus 1 di jurusan Matematika UIN walisongo adalah Research and Development (R&D), dengan model pengembangan Sadiman. Berdasarkan hasil uji validasi dan pengujian buku ajar kepada mahasiswa Jurusan Matematika UIN Walisongo Semarang, diperoleh bahwa buku ajar yang dihasilkan sangat layak untuk digunakan. Kata kunci: buku ajar; kalkulus 1; unity of sciences AbstractThis development research aims to produce a Calculus 1 textbook that is oriented towards UoS and is in accordance with the curriculum at the Mathematics Department of UIN Walisongo Semarang. The Research subject are the students of Mathematics Department of UIN Walisongo Semarang. Data collection techniques for this research is by questionnaires. Next, data are analyzed by qualitative data analysis techniques and quantitative data analysis tecniques. The research method used to develop the Calculus 1 textbook in the Mathematics Department of UIN Walisongo is Research and Development (R&D), with the Sadiman development model. Based on the results of the validation test and textbook testing for students of the Mathematics Department of UIN Walisongo Semarang, it was found that the resulting textbook was very feasible to use. Keywords: calculus 1; textbook; unity of sciences

The Perceptions of Mathematics Teacher about Students’ Difficulties in Online Learning Isnawati, Ayus Riana; Ardani, Riska Ayu
Square : Journal of Mathematics and Mathematics Education Vol 5, No 1 (2023)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2023.5.1.11162

The Covid-19 explosion has changed all activities, including the learning process. The existence this pandemic makes all sectors try to find the best solution. This needs to be done so that all systems are well maintained. One solution during the pandemic is learning activities with online activities. Online learning without face to face certainly raises some problems. New activities make teachers and students must adapt to new learning conditions. In addition, various obstacles provide a paradigm that applying online learning is difficult. The difficulty of carrying out online learning is certainly not only felt by student but also teacher feel the same way. However, it is the teacher’s responsibility to address their difficulties and students’ difficulties. To determine an effective solution in overcoming students’ difficulties, further research is needed to determine the aspect that promote students’ difficulties in online learning. Through this survey research, researchers wanted to see how mathematics teacher’s perception about students’ difficulties when participating in online learning. Most teachers’ perceptions indicate that aspects of facilities and infrastructure, learning activities and environment are the main factors which promote students’ difficulties in online learning.Keywords: perception of athematics teacher, students’ difficulties, online learning

Integrating Realistic Mathematics Education With Islamic Values: A Statistics Module for Grade X Students Isnawati, Ayus Riana; Hardianti, Indira Pusparani; Ardani, Riska Ayu
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol 7, No 1 (2025): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v7i1.4864

The urgency of this research arises from the absence of a statistics module based on the RME approach that integrates Islamic values, designed to help students understand mathematics contextually while instilling character values. This research is development research using the ADDIE (Analysis, Design, Development, Implementation and Evaluation) model which aims to produce a high school statistical module based on the RME approach integrated with Islamic values that meets valid and practical criteria. The subjects of this research were class X of SMAN 4 Semarang's students. The data collection technique used was a validation and practicality questionnaire. The validity instrument consists of a validation sheet for material expert, media, Islamic and practitioner modules, as well as a practical instrument, namely a student response questionnaire. Based on the results of validity and practicality tests, the statistical module based on the RME approach integrated with Islamic values that has been developed is valid and practical.

Pemanfaatan Desmos untuk Pembelajaran Matematika Interaktif bagi Guru Matematika SMK di Salatiga Nisa, Lulu Choirun; Isnawati, Ayus Riana; Rachmawati, Ariska Kurnia; Miasary, Seftina Diyah
Nuansa Akademik: Jurnal Pembangunan Masyarakat Vol. 10 No. 1 (2025)
Publisher : Lembaga Dakwah dan Pembangunan Masyarakat Universitas Cokroaminoto Yogyakarta (LDPM UCY)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47200/jnajpm.v10i1.2675

Desmos is a web-based platform that offers interactive mathematical tools, primarily a graphing calculator, to dynamically visualize mathematical concepts. Using Desmos is one solution to the challenges of teaching mathematics, which often lacks engagement and interactivity due to its abstract nature. Mathematics teachers from vocational schools across Salatiga have received training on utilizing Desmos in teaching. As a result, 85% of participants found Desmos easy to use, 80% felt that Desmos significantly aids mathematics teaching, particularly in visualizing concepts, 76% stated that the Desmos Graphing Calculator makes graph presentations in lessons more engaging, 85% agreed that the 3D features in Desmos help students grasp abstract concepts more concretely, 90% felt that Desmos Classroom facilitates real-time interaction through the online teacher dashboard, 80% noted that Desmos Classroom helps teachers assess student work, and 85% expressed their intention to use Desmos in their classroom teaching.

THE UTILIZATION OF TRANSITION MATRIX IN BONUS-MALUS SCHEME FOR DETERMINING MOTOR VEHICLE INSURANCE PREMIUMS Miasary, Seftina Diyah; Isnawati, Ayus Riana; Marmu'asyifa, Hana Zhafira
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2391-2404

Motor vehicle usage in Indonesia ranks among the highest globally, reaching approximately 141,992,573 units. The growing variety and number of automobiles contribute significantly to traffic congestion and heightened risks to public safety. Given the inherent dangers associated with motorized transportation, including auto theft and accidents, efforts to shift these risks to insurance companies have become crucial. The fundamental idea of insurance is to establish a pool in which policyholders can manage their risk, with premiums determined by the amount of risk that each participant adds to the group. Actuaries in the field of motor vehicle insurance must generate a reasonable premium rate utilizing a variety of methodologies, including the Bonus-Malus approach. The latter, a widely utilized approach, classifies policyholders based on their claims history, incentivizing safe driving. Examining the internal dynamics of the Bonus-Malus system necessitates studying mathematics, particularly algebra, and the use of linear algebra in transition matrices is critical in anticipating changes in bonus-malus rates over time. This research is a quantitative descriptive analysis that explores the implementation of the Bonus-Malus system using a transition matrix framework. It aims to investigate the collaboration of algebra and actuarial science in a real-world application of the Bonus-Malus scheme for motor vehicle insurance, focusing on the use of the transition matrix in premium computation, utilizing secondary data from PT. Jasa Raharja Kota Semarang for the years 2021–2022. The transition matrix analysis shows that Model 2 allows for smoother class transition, lowers the possibility of high-risk class recurrence, and provides more consistent premium adjustments. This demonstrates the model's ability to create a balanced incentive structure while interpreting claim trends. Furthermore, Model 2 has a greater expected value of Loimaranta efficiency than Model 1, supporting findings that added status improves Bonus-Malus system efficiency.

The Perceptions of Mathematics Teacher about Students’ Difficulties in Online Learning Isnawati, Ayus Riana; Ardani, Riska Ayu
Square : Journal of Mathematics and Mathematics Education Vol. 5 No. 1 (2023)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2023.5.1.11162

The Covid-19 explosion has changed all activities, including the learning process. The existence this pandemic makes all sectors try to find the best solution. This needs to be done so that all systems are well maintained. One solution during the pandemic is learning activities with online activities. Online learning without face to face certainly raises some problems. New activities make teachers and students must adapt to new learning conditions. In addition, various obstacles provide a paradigm that applying online learning is difficult. The difficulty of carrying out online learning is certainly not only felt by student but also teacher feel the same way. However, it is the teacher’s responsibility to address their difficulties and students’ difficulties. To determine an effective solution in overcoming students’ difficulties, further research is needed to determine the aspect that promote students’ difficulties in online learning. Through this survey research, researchers wanted to see how mathematics teacher’s perception about students’ difficulties when participating in online learning. Most teachers’ perceptions indicate that aspects of facilities and infrastructure, learning activities and environment are the main factors which promote students’ difficulties in online learning.Keywords: perception of athematics teacher, students’ difficulties, online learning

The tropical version of El Gamal Encryption Muanalifah, Any; Isnawati, Ayus Riana; Artes Jr., Rosalio; Nurwan, Nurwan
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 2 (2023): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

In this paper, we consider the new version of tropical cryptography protocol, i.e the tropical version of El Gamal encryption. We follow the ideas and modify the clasical El Gamal encryption using tropical matrices and matrix power in tropical algebra. Then we also provide a toy example for the reader’s understanding.

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