Student Group Dynamic Model Based on Understanding in Mathematics Subjects

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. Va...

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Autores principales: M. Ivan Ariful Fathoni, Anisa Fitri, Hanifahtul Husnah
Formato: article
Lenguaje:EN
Publicado: Department of Mathematics, UIN Sunan Ampel Surabaya 2021
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Acceso en línea:https://doaj.org/article/3e43fd309ef3453ea17acb3fc340709d
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spelling oai:doaj.org-article:3e43fd309ef3453ea17acb3fc340709d2021-12-02T17:43:20ZStudent Group Dynamic Model Based on Understanding in Mathematics Subjects2527-31592527-316710.15642/mantik.2021.7.1.41-50https://doaj.org/article/3e43fd309ef3453ea17acb3fc340709d2021-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1077https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167This 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.M. Ivan Ariful FathoniAnisa FitriHanifahtul HusnahDepartment of Mathematics, UIN Sunan Ampel Surabayaarticledynamical systemmathematical modelequilibrium pointsstudent interactionlearning processMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 7, Iss 1, Pp 41-50 (2021)
institution DOAJ
collection DOAJ
language EN
topic dynamical system
mathematical model
equilibrium points
student interaction
learning process
Mathematics
QA1-939
spellingShingle dynamical system
mathematical model
equilibrium points
student interaction
learning process
Mathematics
QA1-939
M. Ivan Ariful Fathoni
Anisa Fitri
Hanifahtul Husnah
Student Group Dynamic Model Based on Understanding in Mathematics Subjects
description 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.
format article
author M. Ivan Ariful Fathoni
Anisa Fitri
Hanifahtul Husnah
author_facet M. Ivan Ariful Fathoni
Anisa Fitri
Hanifahtul Husnah
author_sort M. Ivan Ariful Fathoni
title Student Group Dynamic Model Based on Understanding in Mathematics Subjects
title_short Student Group Dynamic Model Based on Understanding in Mathematics Subjects
title_full Student Group Dynamic Model Based on Understanding in Mathematics Subjects
title_fullStr Student Group Dynamic Model Based on Understanding in Mathematics Subjects
title_full_unstemmed Student Group Dynamic Model Based on Understanding in Mathematics Subjects
title_sort student group dynamic model based on understanding in mathematics subjects
publisher Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate 2021
url https://doaj.org/article/3e43fd309ef3453ea17acb3fc340709d
work_keys_str_mv AT mivanarifulfathoni studentgroupdynamicmodelbasedonunderstandinginmathematicssubjects
AT anisafitri studentgroupdynamicmodelbasedonunderstandinginmathematicssubjects
AT hanifahtulhusnah studentgroupdynamicmodelbasedonunderstandinginmathematicssubjects
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