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Desimal: Jurnal Matematika
Published by Universitas Islam Negeri Raden Intan Lampung
ISSN : 26139073     EISSN : 26139081     DOI : -
Core Subject : Education, Social,
Education Mathematics Social Sciences
Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September to December. This publication is available online via open access.
Arjuna Subject : -
Articles 393 Documents
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Adversity Quotient and Students’ Mathematical Reasoning, Communication, and Connection Abilities: A PLS-SEM Analysis Destiani, Sinta; Rinaldi, Achi; Pitri, Rizka
Desimal: Jurnal Matematika Vol. 9 No. 2 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v9i2.31829

Abstract

Mathematical reasoning, communication, and connection are essential competencies for meaningful mathematics learning, yet their development may also depend on how students respond to academic difficulty. This study examined the structural relationships between Adversity Quotient (AQ) and students’ mathematical reasoning, communication, and connection abilities, including the direct and indirect pathways among these constructs. A quantitative cross-sectional design using Partial Least Squares Structural Equation Modeling (PLS-SEM) was employed with 106 seventh-grade students at SMPN 1 Natar, Lampung, Indonesia. Data were collected using an AQ questionnaire and a 15-item social-arithmetic test assessing mathematical reasoning, communication, and connection abilities, and were analyzed using SmartPLS 3.0. The results showed that AQ was positively associated with mathematical communication (β = 0.573, p < .001) but was not significantly associated with mathematical reasoning (β = -0.139, p = .183) or mathematical connection (β = -0.071, p = .399). Mathematical reasoning was positively associated with communication (β = 0.390, p < .001), while communication showed the strongest direct relationship with connection (β = 0.712, p < .001). Significant indirect effects were found for AQ on connection through communication (β = 0.408, p < .001) and for reasoning on connection through communication (β = 0.278, p < .001). These findings identify mathematical communication as a central structural bridge linking adversity-related responses and reasoning with students’ ability to establish mathematical connections, offering an integrated perspective on affective and cognitive processes in mathematics learning, particularly within lower-secondary mathematics education in Indonesia.
Optimization of Course Timetabling Using Spreadsheet-Based Integer Linear Programming with a Pedagogical Approach Zelimov, Katryn Monica; Utomo, Putranto Hadi; Kusmayadi, Tri Atmojo
Desimal: Jurnal Matematika Vol. 9 No. 2 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v9i2.32291

Abstract

University course timetabling is commonly evaluated through operational feasibility, while pedagogical considerations such as cognitive-demand distribution and class timing receive less explicit attention in optimization models. This study developed a spreadsheet-based Integer Linear Programming (ILP) model that integrates conventional hard constraints with pedagogically informed soft constraints to generate a feasible and more educationally responsive timetable. A mathematical modeling and computational simulation design was employed using synthetic data comprising five courses, four lecturers, two classrooms, five daily time slots, and two instructional days. The model incorporated classroom allocation, lecturer assignment and availability, room suitability and capacity, required course duration, and day-room consistency as hard constraints, while cognitive-demand distribution, post-lunch scheduling, and first-slot placement were treated as soft constraints. The formulation was implemented in Microsoft Excel and solved using OpenSolver with the COIN-OR CBC engine. The resulting timetable satisfied all hard constraints, confirming operational feasibility, while the three pedagogical penalty components produced values of 4, 0, and 1, respectively. These results indicate that excessive daily concentration of cognitively demanding courses could be fully avoided, although some temporal-placement penalties remained under the available scheduling conditions. The findings demonstrate that pedagogically informed preferences can be incorporated into an accessible ILP framework without compromising feasibility. This study therefore provides a transparent proof of concept for extending university timetabling beyond conflict avoidance toward multidimensional schedule quality that combines operational requirements with explicit cognitive and temporal considerations. The approach also preserves transparency for institutional inspection and adaptation.
Global Stability Analysis and Numerical Simulation of Water Pollutants Dispersion Model Using Lyapunov Function Asrotul Ula Desy Sa'idah, Nur; Irawati, Santi; Muksar, Makbul
Desimal: Jurnal Matematika Vol. 9 No. 2 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/desimal.v9i2.32788

Abstract

Water pollution dynamics are shaped by interactions among contaminant states, yet many mathematical models do not explicitly distinguish how phase conversion influences long-term persistence. This study analyzes a five-compartment nonlinear model comprising available water, soluble pollutants, completely insoluble pollutants, semi-insoluble pollutants, and treated water. The objectives were to establish mathematical feasibility, characterize equilibrium states and pollutant-specific persistence thresholds, determine global asymptotic stability using Lyapunov functions, and examine temporal behavior numerically. Positivity and boundedness were analyzed to define an admissible region, thresholds were derived through the Next-Generation Matrix, and fourth-order Runge-Kutta simulations were performed over 0≤t≤100 using the baseline parameter configuration. The model admits a pollutant-free equilibrium and pollutant-persistent equilibria, while the threshold values were R1=40.0947, R2=2.6437, R3=1.9790, giving R0=40.0947. These values indicate that the soluble-pollutant pathway exerts the strongest persistence pressure under the baseline configuration. Lyapunov analysis identifies the stability conditions governing the relevant equilibria, and the numerical trajectories are consistent with persistence of the soluble compartment and decline of the completely insoluble and semi-insoluble compartments. One-at-a-time parameter perturbations further show that pollutant-transfer and recovery parameters alter peak magnitude, persistence duration, and convergence behavior. The study demonstrates that combining phase-resolved compartmental structure, pollutant-specific thresholds, global stability analysis, and numerical simulation provides an interpretable framework for explaining how pollutant heterogeneity and inter-phase conversion shape long-term water-pollution dynamics. This integration clarifies why different pollutant phases can follow distinct asymptotic pathways even when they coexist within the same modeled aquatic system over time.

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