AKSIOMA : Jurnal Matematika dan Pendidikan Matematika
Vol. 17 No. 1 (2026): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika

A Nonlinear mathematical model of student motivation dynamics with an empirical calibration framework and simulation analysis

Radhiatul Husna (Andalas University)
Angelina Zaskya Hulda (Andalas University)
Indah Rahmadani (Andalas University)
Miftahul Jannah (Andalas University)
Muhammad Zikra (Andalas University)
Najla Nafisa Arsy (Andalas University)
Nanda Putra Kartama (Andalas University)



Article Info

Publish Date
28 Apr 2026

Abstract

Student learning motivation is a dynamic construct that changes over time in response to support, academic pressure, and fatigue. However, many existing studies examine motivation only at a single point in time or rely on descriptive approaches, limiting their ability to quantify how motivation evolves. This study develops a nonlinear mathematical model of student motivation dynamics and links the model to an empirical calibration framework. The proposed model represents motivation as a bounded process influenced by support saturation, motivational decline, and nonlinear burnout effects. To reduce the analysis's hypothetical nature, the study outlines how repeated measurements of motivation, perceived support, and inhibiting factors can be used to estimate model parameters from longitudinal data. The framework is accompanied by scenario-based simulations under stable support, temporary academic stress, early intervention, delayed intervention, and high-burnout conditions. These scenarios are designed to generate substantive insight into recovery, intervention timing, and motivational vulnerability. The study offers a mathematically interpretable and educationally relevant framework for understanding student motivation over time and for guiding future data-informed intervention design.

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Journal Info

Abbrev

aksioma

Publisher

Subject

Description

Aksioma: Jurnal Matematika dan Pendidikan Matematika invites original research articles that have not been simultaneously submitted to another journal or conference. The whole spectrum of research in mathematics education is welcome, which includes, but is not limited to, the following topics: 1. ...