Open AccessStudent Group Dynamic Model Based on Understanding in Mathematics Subjects
Author(s) -
M. Ivan Ariful Fathoni,
Annisa Fitri,
Hanifahtul Husnah
Publication year - 2021
Publication title -
mantik
Language(s) - English
Resource type - Journals
eISSN - 2527-3167
pISSN - 2527-3159
DOI - 10.15642/mantik.2021.7.1.41-50
Subject(s) - subject matter , stability (learning theory) , equilibrium point , point (geometry) , group (periodic table) , variable (mathematics) , process (computing) , mathematics education , mathematics subject classification , mathematics , subject (documents) , differential equation , computer science , psychology , pure mathematics , mathematical analysis , physics , pedagogy , machine learning , geometry , quantum mechanics , library science , curriculum , operating system
This study discusses the interaction of students with a mathematical modeling point of view. This interaction involves students who understand and do not understand mathematics subject matter. The interaction process between groups is modeled in a two-dimensional system of differential equations. Variable A is the percentage of students who understand the material, and variable B is the percentage of students who do not understand the material. The dynamic analysis results obtained by one trivial equilibrium point and three non-trivial equilibrium points exist with several conditions. Based on the stability analysis of the non-trivial equilibrium point, it is found that the conditions without students do not understand mathematics subject matter. This condition is the goal of this study, which involves interaction between students; it can increase the learning process's success.