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Sentence Connectors in The Lyrics of Songs of Red Album by Taylor Swift Muhammad, Hassan
The Explora Vol. 8 No. 2 (2022): August 2022
Publisher : Pascasarjana Universitas HKBP Nommensen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51622/explora.v8i2.645

Abstract

This study deals with the use of Sentence Connectors, Coordinating Conjunction in Red album by Taylor Swift. The objective of this study were to describe the types of coordinating conjunction, to find out the most dominant and the reason for using thet dominant types in that album. The source of data was Red album and the script. This study applied descriptive qualitative method. The data were classified into types of the coordinating conjunction. They were analyzed based on the types of coordinating conjunction. The study found that there are seven types of coordinating conjunction, they are for, and, nor, but, of, yet, so. There are 299 coordinating conjunction in that album. The percentages of coordinating conjunction found were for is 16 (6. 35%), and is 173 (57. 86), nor is 0 (0%), but is 50 (16.72%), of is 46 (15. 38), yet is 0 (0%), so is 14 (4.7%). The dominant types of coordinating conjunction found in Red album is and, 173 items (57. 86% ).
The Role of Augmented Reality (AR) in Enhancing Conceptual Understanding of Geometry in Mathematics Education: Systematic Review Muhammad, Hassan; Musa, Nura Ay; Ahmad, Auwal; Adamu, Nurudeen
International Journal of Education, Management, and Technology Vol 4 No 1 (2026): International Journal of Education, Management, and Technology
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ijemt.v4i1.8073

Abstract

Geometry, a fundamental branch of mathematics, often challenges students due to its abstract nature and the demands it places on spatial reasoning and visualization, and traditional teaching methods frequently fail to convey complex geometric concepts effectively, leading to low engagement and poor understanding. This systematic review investigates the impact of Augmented Reality (AR) on enhancing students’ conceptual understanding of geometry in mathematics education by synthesizing existing empirical studies on AR-based geometry instruction. AR technology provides interactive, immersive learning environments that enable learners to manipulate three-dimensional geometric shapes and transformations in real time, thereby supporting deeper cognitive engagement with abstract content. The reviewed studies consistently report that AR interventions enhance spatial reasoning, improve visualization abilities, and foster deeper conceptual understanding of geometric ideas, while also increasing student motivation, engagement, and retention and supporting the development of critical problem-solving skills. At the same time, the review identifies key implementation challenges, including the high cost and limited availability of AR tools, as well as the need for targeted teacher training to design and facilitate AR-enhanced lessons. The review concludes that AR holds strong potential as a pedagogical innovation for geometry education, provided that infrastructural, financial, and professional development barriers are addressed, and recommends future research focusing on longitudinal designs, more affordable AR solutions, and the integration of AR into advanced geometric topics and diverse educational contexts.
Hybrid Integral Transform Techniques for the Solution of Third-Order Nonlinear Ordinary Differential Equations Aliyu, Umar Mujahid; Oyewola, David Opeoluwa; Taura, Joel John; Lukunti, Salisu; Muhammad, Hassan; Adamu, Abubakar Yahya; Ibrahim, Abdulhalim Isah; Muhammad, Mubarak; Ibrahim, Imafidor Hassan; Kolo, Mohammed Abubakar; Adamu, Isah; Piapna'an, Wallen Juliet; Mansur, Mustapha Mohammed; Adamu, Ibrahim Abubakar; Marafa, Mohammed Yusuf; Umar, Abdulwasiu; Ahmad, Sulaiman; Hashim, Nura
Mikailalsys Journal of Advanced Engineering International Vol 3 No 2 (2026): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v3i2.9236

Abstract

Third-order nonlinear ordinary differential equations frequently arise in the mathematical modeling of complex engineering and physical phenomena; however, exact analytical solutions remain difficult to obtain because of strong nonlinearities and higher-order derivative effects. Classical integral transform techniques, including the Laplace and Fourier transforms, are widely used for solving differential equations but often have limitations when extended to nonlinear systems. Although modern integral transforms such as the Sumudu, Mahgoub, and Elzaki transforms offer computational advantages, their applicability is generally restricted to linear models. This study introduces a hybrid analytical approach that integrates the Mahgoub transform with the Variational Iteration Method (VIM) to solve third-order nonlinear ordinary differential equations more effectively. The proposed method converts the governing equation into the transform domain and applies an iterative correction functional to address nonlinear terms without linearization or discretization. The resulting solutions are expressed in rapidly convergent series form. Numerical validation demonstrates strong agreement with exact solutions, confirming the efficiency, accuracy, and stability of the hybrid Mahgoub–VIM approach. The study concludes that this hybrid semi-analytical method provides a reliable framework for solving higher-order nonlinear differential equations in applied mathematics and engineering analysis. These findings contribute to the development of transform-based analytical methods by extending the applicability of the Mahgoub transform to nonlinear differential equation models through variational iteration.