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Digital Teaching Materials using Comprehensive Mathematics Instruction Model for Interactive Mathematics Learning Delima, Nita; Jaja, Jaja; Kusuma, Dianne Amor
Jurnal Pendidikan MIPA Vol 23, No 4 (2022): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

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Abstract

The Ministry of Education and Culture found that the Covid-19 pandemic had caused a significant literacy and numeracy learning loss. The comprehensive mathematics instruction (CMI) model has a pedagogical prescription that is proven to be effective in improving students' mathematical thinking skills. This model can be developed into a digital teaching material that can support interactive learning. This study aims to build digital teaching materials using the CMI model that can support interactive mathematics learning. The research method used is research and development (R & D). The results of this study are in the form of a product named CMI Agent which is the result of the transformation of the CMI model teaching materials into LMS-based digital technology with interactive designs. Based on the studies that have been carried out, it is concluded that CMI Agent can support interactive mathematics learning. Keywords: comprehensive mathematics instruction, teaching materials, research and development. DOI: http://dx.doi.org/10.23960/jpmipa/v23i4.pp1777-1789
Penerapan Perangkat Lunak RStudio untuk Penaksiran Parameter Model Spatial Autoregressive Salsabil, Tsuroyya; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
KUBIK Vol 8 No 1 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v8i1.30037

Abstract

Research and analysis that are not only based on time (temporal) but also on space (spatial) require tools in the form of software to ensure that the data analysis and processing yield good, fast, and accurate results. One of the software tools that can be used for this purpose is RStudio software. The advantages of RStudio include being open-source software (OSS), which can be used freely without cost, and it has many packages and functions that can facilitate data processing. One of the spatial-based analyses is spatial data analysis. The structure within RStudio allows users to call functions related to spatial data analysis, perform computations with sparse matrices (matrices with many zero values), such as spatial weight matrices, estimation of spatial model parameters, and so on. This research examines the application of RStudio software in estimating the parameters of a first-order Spatial Autoregressive (SAR) model using the Maximum Likelihood Estimation (MLE) method on the data of the designation of Intangible Cultural Heritage (ICH) in Indonesia. Based on the results of applying RStudio software, a first-order SAR model with a Queen contiguity weight matrix for the categories of Traditional Customs, Rituals, and Celebrations (TCRC) and Performing Arts (PA) with the minimum Akaike Information Criterion (AIC) value and maximum pseudo- value was obtained for predicting the designation data of ICH in Indonesia. The application of RStudio software to the first-order SAR model for the designation data of ICH in Indonesia speeds up and simplifies calculations, making it suitable as a recommendation for relevant agencies such as the Department of Culture, Tourism, Youth, and Sports (Disbudparpora). 
Penerapan Model Geographically Weighted Regression pada Data Penetapan Warisan Budaya Takbenda di Indonesia Pratomo, Firdaus Ryan; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
KUBIK Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.33492

Abstract

Intangible Cultural Heritage (WBTb) determination data in Indonesia is a cultural investment that needs to be preserved. One of the efforts to preserve WBTb is to determine the cultural preservation factors that influence the WBTb determination data in Indonesia. These factors include Percentage of Population Watching Performances/Art Exhibitions (PPWP), Percentage of Population Using Regional Languages (PPURL), and Percentage of Households Using Traditional Products (PHUTP). However, the different cultural wealth in each province results in spatial heterogeneity, resulting in differences in the determination of cultural preservation factors in each province. This determination can be done with the Geographically Weighted Regression (GWR) model. This study aims to apply the GWR model with Fix Gaussian Kernel, Fix Bisquare Kernel, and Fix Tricube Kernel weighting to determine cultural preservation factors in WBTb determination data in Indonesia so that it can be known what cultural preservation factors are most influential in each region. The research findings show the existence of spatial heterogeneity only in the category of WBTb designation data for Performing Arts (PA) and Oral Expression Tradition (OET), as well as different GWR models in each province that reflect differences in cultural preservation factors. Evaluation with the coefficient of determination shows that the GWR model with the Fix Gaussian Kernel weighting function is the best model for the PA category. 
Spatial Weight Matrix Comparison of SAR-X Model using Casetti Approach Tsanawafa, Almeira; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): 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.v9i1.25579

Abstract

The Spatial Autoregressive Exogenous (SAR-X) model with the Casetti approach is used to describe the influence of location and exogenous variables in the description and prediction of spatial observations, namely, people's habits and behavior towards culture in Java Island. The SAR-X model with the Casetti approach is characterized by a spatial weight matrix that describes the coordinates of the region at each location. The spatial weight matrix is determined outside the model. This study examines the spatial weight matrix determined based on rook contiguity, bishop contiguity, queen contiguity, inverse distance and inverse distance squared, and compares the application of the spatial weight matrix to the SAR-X model with the Casetti approach for the description and prediction of people's habits and behavior towards culture in Java Island. The description and prediction results obtained are measured using the Root Mean Square Error (RMSE) value. The results of data processing show that the best spatial weight matrix in the SAR-X model with the Casetti approach to community habits and behavior in Java Island is the inverse distance squared spatial weight matrix, supported by the calculation of the minimum RMSE value and the coefficient of determination above 60%.
Penerapan Model Spatial Autoregressive pada Data Penetapan Warisan Budaya Takbenda di Indonesia Tsuroyya Salsabil; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
Matematika: Jurnal Teori dan Terapan Matematika Vol. 22 No. 2 (2023): Jurnal Matematika
Publisher : UPT Publikasi Universitas Islam Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/matematika.v22i2.2560

Abstract

Warisan Budaya Takbenda (WBTb) dengan sifatnya yang dapat berlalu dan hilang dalam waktu seiring perkembangan zaman membutuhkan perlindungan lebih. Salah satu program pelindungan yang dilakukan oleh pemerintah adalah penetapan WBTb. Kegiatan penetapan ini memiliki keterbatasan dalam menggambarkan pengaruh lokasi dan prediksi data penetapan WBTb di Indonesia. Sedangkan, WBTb di suatu wilayah bisa saja saling memengaruhi dengan WBTb di wilayah lain di sekitarnya. Salah satu dari model yang dapat digunakan adalah Model Spatial Autoregressive (SAR). Oleh karena itu, penelitian ini bertujuan untuk menerapkan Model Spatial Autoregressive (SAR) orde satu untuk menggambarkan pengaruh lokasi dan prediksi data penetapan WBTb di Indonesia. Berdasarkan hasil pemilihan model terbaik dengan indikator nilai AIC dan pseudo-  model yang terpilih untuk prediksi data penetapan WBTb di Indonesia adalah Model SAR orde satu dengan matriks pembobot Queen Contiguity.   The Application of Spatial Autoregressive Model to the Data of Intangible Cultural Heritage Designation in Indonesia Cultural Heritage with intangible characteristics (WBTb), which can fade and disappear over time due to the development of the era, requires greater protection. One of the protective programs carried out by the government is the designation of WBTb. However, the designation process has limitations in depicting the influence of location and predicting the data of WBTb designation in Indonesia. Meanwhile, WBTb in one region may influence the WBTb in neighboring regions. One of the models that can be used is the Spatial Autoregressive Model (SAR). Therefore, this research aims to apply the first-order Spatial Autoregressive Model (SAR) to depict the influence of location and predict the data of WBTb designation in Indonesia. Based on the results of selecting the best model using the indicators of AIC value and pseudo- , the chosen model for predicting the data of WBTb designation in Indonesia is the first-order SAR model with Queen Contiguity weight matrix.
Penerapan Analisis Diskriminan untuk Klasifikasi Pengaruh Data Warisan Budaya Takbenda terhadap Banyaknya Wisatawan Domestik Annisafiya, Nadira; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
Jurnal Matematika Integratif Vol 19, No 2: Oktober 2023
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v19.n2.46791.149-161

Abstract

Analisis diskriminan adalah analisis multivariat yang dapat digunakan pada hubungan dependensi dalam kasus dimana variabel prediktor berupa data kuantitatif dan variabel respon berupa data kualitatif. Warisan Budaya Takbenda (WBTb) memiliki hubungan dengan banyaknya wisatawan khususnya wisatawan domestik yang datang ke suatu provinsi, semakin banyak WBTb yang dimiliki suatu provinsi diharapkan semakin banyak wisatawan domestiknya. Penelitian ini bertujuan mengkaji model diskriminan untuk mengklasifikasikan banyaknya wisatawan domestik dengan kategori tinggi dan rendah beserta menentukan pengaruh variabel WBTb dengan lima kategori, yaitu : (1) Adat Istiadat Masyarakat, Ritus, dan Perayaan-Perayaan (AIMRP); (2) Kemahiran dan Kerajinan Tradisional (KKT); (3) Pengetahuan dan Kebiasaan Perilaku Mengenai Alam dan Semesta (PKPMAS); (4) Seni dan Pertunjukan (SP); (5) Tradisi dan Ekspresi Lisan (TEL). Metode yang digunakan adalah analisis diskriminan. Berdasarkan kelima kategori tersebut, AIMRP, PKPMAS, dan TEL merupakan kategori yang paling memengaruhi tinggi-rendahnya wisatawan domestik dengan tingkat akurasi klasifikasi yang diperoleh pada model diskriminan sebesar 96,57%.
HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES Oktaviansyah, Eka; Kurniadi, Edi; Kusuma, Dianne Amor
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0853-0864

Abstract

Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial congruence modulo prime numbers and to construct a general solution algorithm of polynomial congruence modulo arbitrary positive integers. Unlike previous studies, this research proposes the recursive hybrid algorithm combining Hensel’s Lemma, the Fundamental Theorem of Arithmetic, and the Chinese Remainder Theorem, highlighting the originality of the approach in extending its application beyond prime power moduli. The result of this research is the form of a recursive formula for the solution of polynomial congruence modulo prime numbers and the algorithm for solving polynomial congruence modulo arbitrary positive integers using the combination of Hensel’s Lemma, Fundamental Theorem of Arithmetic, and Chinese Remainder Theorem. The results of this research contribute to the development of mathematical methods, especially in the field of number theory. However, the applicability of the recursive formula is limited to cases where the conditions of Hensel’s Lemma are satisfied, that is, when a solution of the polynomial modulo a prime is such that the polynomial equals zero while its derivative does not equal zero modulo the same prime. Extending the method to situations where this condition fails remains a subject for future research.
Design Implications from a Needs Assessment for AR-Based Digital Learning Materials with Quizizz Integration in Secondary Education Marina, Lilis; Arcat, A; Sohibun, S; Susilawati, Aay; Noto, Muchamad Subali; Wahyuni, Astri; Kusuma, Dianne Amor
Jurnal Pendidikan Islam ARTICLE IN PRESS
Publisher : The Faculty of Tarbiyah and Teacher Training associated with PSPII

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Abstract

In the context of global secondary education, rapid technological advancements have revolutionized learning environments. Educators are increasingly integrating immersive and interactive tools to better engage digital-native students. Augmented Reality (AR), when combined with gamified learning platforms, has shown great potential to boost student participation and comprehension. This study aims to analyze and compare the learning needs of Madrasah Tsanawiyah (MTs), including Islamic boarding schools, and Junior High School (JHS) students regarding AR-based digital learning materials integrated with the Quizizz platform. Using a descriptive quantitative design, the study employed data triangulation through questionnaires, classroom observations, and interviews to obtain a comprehensive view of students’ needs and preferences. The results indicate that both MTs and JHS students share similar needs for AR-based learning materials, particularly in interactive visualization, immediate feedback, and gamification features, although differences were found in specific interaction and feedback preferences. In conclusion, integrating AR technology with Quizizz can create more engaging and adaptive learning environments for secondary students. The study implies that Islamic education institutions can effectively adopt AR-based digital learning to support active learning, strengthen student engagement, and align instructional practices with contemporary technological developments.