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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Department of Mathematics, UIN Sunan Ampel Surabaya
2021
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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) |
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dynamical system mathematical model equilibrium points student interaction learning process Mathematics QA1-939 |
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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 |
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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 |
_version_ |
1718379639164895232 |