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Opis: The uniform property was introduced by P. Terwilliger in the context of graded posets and was later extended to connected bipartite graphs. The core of this definition involves the so called uniform equations that must be satisfied. Let Γ denote a connected bipartite graph. Fix a vertex x of Γand let T=T(x) denote the corresponding Terwilliger algebra. In this paper, we study the connections between the uniform equations and the center of T. We show that these uniform equations give rise to a certain subspace of the center of T. Changing the logical direction, we show that if a matrix of a particular form belongs to the center of T, then uniform equations are satisfified.
Ključne besede: uniform equations, center of a Terwilliger algebra, bipartite graphs
Objavljeno v RUP: 08.05.2026; Ogledov: 45; Prenosov: 2
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Opis: Inquiry-based learning (IBL) in mathematics is a student-centered approach that encourages exploration, problem-solving, and critical thinking, allowing students to actively engage with mathematical concepts and discover relationships through hands-on activities and collaborative learning. Despite the growing interest in IBL within mathematics education, which has demonstrated the efectiveness of this method on students’ achievements, less is known about its impact on Gagné’s taxonomy of knowledge (conceptual, procedural, and problem-solving knowledge). This study, based on Bruner’s instructional model, compares the efectiveness of IBL against traditional teaching methods in promoting mathematical learning across Gagné’s three taxonomies of knowledge in Grade 9 algebra content, using a sample of 258 Slovenian students (132 in the experimental group). Results show that the experimental group outperformed the control group in most areas, with no signifcant diference observed in procedural knowledge. The study suggests that IBL enhances students’ conceptual understanding and problem-solving abilities by fostering deeper engagement and critical thinking but may not have the same impact on procedural fuency, which requires repetitive practice.
Ključne besede: algebra, equations, inquiry-based learning, mathematics, problem-solving
Objavljeno v RUP: 04.07.2025; Ogledov: 1235; Prenosov: 13
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Ključne besede: mathematical modeling, epidemiology, susceptible individuals, exposed individuals, infectious individuals, recovered individuals, basic reproduction ration, systems of differential equations, steady state, stability, Ljapunov function
Objavljeno v RUP: 09.11.2017; Ogledov: 6040; Prenosov: 95
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