Saudi Cultural Missions Theses & Dissertations

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    The Effectiveness of Blended Learning in Secondary Mathematics Education: Perspectives of Students, Teachers, and Parents in Saudi Arabia on the Madrasati Platform
    (The University of Dundee, 2025-06) Alharbi, Nader; McDermott, John; Topping, Keith
    Madrasati “My School” is an e-learning management system introduced by Saudi Arabia's Ministry of Education to enhance teaching and learning. This study evaluates the effectiveness of the Madrasati platform in facilitating blended mathematics learning among secondary school students in Qassim, Saudi Arabia. Employing a mixed-methods research design, the study analysed mathematics attainment results from 3,468 students across four secondary schools, comparing three instructional methods: face-to-face, fully online, and blended learning. Quantitative data were analysed using t-tests, ANOVA, and Structural Equation Modeling (SEM), while qualitative data from semi-structured interviews with twelve mathematics teachers were thematically analysed. Questionnaires based on the Technology Acceptance Model (TAM) were administered to students, teachers, and parents to assess their acceptance and engagement with the platform and explore perceptions of its effectiveness from different aspects. The questionnaires received responses from 210 students (25.5% response rate of 823), 204 teachers (32.5% response rate of 627), and 267 parents (32.4% response rate of 823). The findings indicate that both fully online and blended learning approaches resulted in higher average mathematics scores than traditional face-to-face instruction. However, face-to-face learning showed more consistent results in certain grade levels. Statistical analyses revealed that while teachers and parents perceived the platform's usefulness as the primary factor influencing their intention to use it, students were more influenced by its ease of use. Teachers found Madrasati particularly beneficial for teaching algebra and calculus, whereas students appreciated its support for exponential equations and measurement units. Despite acknowledging logistical challenges such as limited technological resources and increased workloads, participants generally preferred blended learning for its flexibility and resource availability. The study concludes that the Madrasati platform has significant potential to enhance student engagement and autonomy in mathematics learning. However, its success is contingent upon addressing technical challenges, providing adequate teacher training, reducing workload, and integrating it effectively with traditional teaching methods. The findings offer practical recommendations for the Ministry of Education to strengthen digital infrastructure and support educators as Madrasati becomes essential in advancing digital learning within Saudi Arabia's secondary education system.
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    THE UNION POWER CAYLEY GRAPHS AND INTERSECTION POWER CAYLEY GRAPHS OF CYCLIC GROUPS AND DIHEDRAL GROUPS WITH THEIR CLASSIFICATIONS AND INVARIANTS
    (UNIVERSITI TEKNOLOGI MALAYSIA, 2024) Alshammari, Maryam; Hassim, Hazzirah; Sarmin, Nor; Erfanian, Ahmad
    Various graphs associated to groups have been investigated and defined over the years, including the power graphs and Cayley graphs, due to their importance in algebra and many other fields. The power graph of a finite group 𝐺 is defined as a simplified form of an undirected graph whose vertices are elements of 𝐺, in which two distinct vertices are adjacent if one of them can be written as an integral power of the other. Meanwhile, the Cayley graph of 𝐺 with respect to the inverse-closed subset 𝑆 of 𝐺 is a graph whose vertices are the elements of 𝐺, and two vertices 𝑥 and 𝑦 are adjacent if 𝑥 = 𝑠𝑦 or 𝑦 = 𝑠𝑥 for some 𝑠 ∈ 𝑆. In this research, two new types of Cayley graphs are introduced by combining the properties of Cayley graphs and power graphs, namely the union power Cayley graph and the intersection power Cayley graph of a finite group. The union power Cayley graph is defined as a graph that has the elements of 𝐺 as its vertices, and two vertices 𝑥 and 𝑦 are adjacent if 𝑥𝑦−1 ∈ 𝑆 or if one of them can be written as an integral power of the other. Meanwhile, the intersection power Cayley graph is defined as a graph whose vertices are the elements of 𝐺, and two vertices 𝑥 and 𝑦 are adjacent if 𝑥𝑦−1 ∈ 𝑆 and if one of them can be written as an integral power of the other. In addition to introducing these two new graphs, this research also aims to classify these graphs in terms of their connectivity, completeness, regularity, and planarity and to determine the invariants of these graphs, including the clique, chromatic number, diameter, and girth. The theoretical results provided in this research are significant in the development of algebraic graph theory since the invariants of finite groups can be identified from the structure of these graphs. The results of this research are obtained by finding the general presentations for the union power Cayley graph and the intersection power Cayley graph of cyclic groups 𝐶𝑛, and .dihedral groups
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    A Tool For Indexing And Classifying Unstructured Textual Documents Based on Product Family Algebra
    (2020-08-01) Alomair, Deemah; Khedri, Ridha
    Unstructured textual documents comprise the bulk of the data used and archived by organizations within all sectors of the economy. The need to index and classify these documents became an interesting topic that gained more attention in the field of data analytic. Different approaches are used to perform indexing and classification of textual documents. They range from supervised Machine Learning (ML) approaches to rule-based ones. There is a need for exploring novel classification approaches that exhibit better effectiveness and performance in classifying the increasing volume of this kind of data. In this thesis, we propose a novel approach to index and classify unstructured textual documents based on Product Family Algebra (PFA) and implemented using Binary Decision Diagram (BDD). In the proposed approach, a signature is first constructed for a document or a family of documents. The signature is relative to a dictionary of the typical words used in the category under consideration. Then, using operations on product family implemented using BDDs, we carry the classification of a document or families of documents using their signatures. Since ML methods are considered to be the de facto standard in document classification and to compare our method performance to their, we implement four ML classification methods: Support Vector Machine (SVM), Naive Bayes (NB), K-Nearest Neighbor (K-NN), and Decision Tree (DT). After that, we merge these modules into one software system called Smart Document Classification System (SDCS). The assessment of our approach to the classification of textual documents shows its f lexibility in indexing and classifying families of textual documents. The classification is deterministic and on a single document (not families of documents), it compares very well with the SVM ML-classifier. Using rules articulated in the language of PFA, It offers a variety of ways for classifying families of documents
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