{"title":"大学常微分方程的系统学习回顾","authors":"E. Kurniadi, Z. Zulkardi, R. Putri","doi":"10.24042/ajpm.v13i1.10707","DOIUrl":null,"url":null,"abstract":"The research about Ordinary Differential Equation (ODE) has increased more widely since 1970. Therefore, several published articles in some journals can be found in some sources. This paper aims to provide an overview of the learning differential equation in higher education based on relevant literature. Therefore, we are interested in conducting a Systematic Literature Review (SLR) methodology from 24 articles generated from Top 5 Scopus Q1 according to SJR reported by Scimago Journal Country Rank in the subject area of education. The present study focuses on two aspects, namely: 1) the learning method of ODE that is proposed in the academic literature, and 2) the topic of ODE has been put forward and discussed in the academic literature. The systematic literature review found four methods of learning ODE (active learning, mathematical modelling, information, and technology communication, and geometric and qualitative solutions). Moreover, we also concluded that the several topics of ODE in the academic literature are 1) first order of ODE, 2) Euler method, 3) application to the problem (rate of change, population model, logistic generalized, and spring-mass), 4) second-order of ODE, and 5) system of ODE. The result of this study can provide a summary of existing literature and identify the weakness or gap to be investigated further in the following research related to the topic of ODE.","PeriodicalId":385020,"journal":{"name":"Al-Jabar : Jurnal Pendidikan Matematika","volume":"341 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Learning ordinary differential equation at undergraduate level: A systematic learning review\",\"authors\":\"E. Kurniadi, Z. Zulkardi, R. Putri\",\"doi\":\"10.24042/ajpm.v13i1.10707\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The research about Ordinary Differential Equation (ODE) has increased more widely since 1970. Therefore, several published articles in some journals can be found in some sources. This paper aims to provide an overview of the learning differential equation in higher education based on relevant literature. Therefore, we are interested in conducting a Systematic Literature Review (SLR) methodology from 24 articles generated from Top 5 Scopus Q1 according to SJR reported by Scimago Journal Country Rank in the subject area of education. The present study focuses on two aspects, namely: 1) the learning method of ODE that is proposed in the academic literature, and 2) the topic of ODE has been put forward and discussed in the academic literature. The systematic literature review found four methods of learning ODE (active learning, mathematical modelling, information, and technology communication, and geometric and qualitative solutions). Moreover, we also concluded that the several topics of ODE in the academic literature are 1) first order of ODE, 2) Euler method, 3) application to the problem (rate of change, population model, logistic generalized, and spring-mass), 4) second-order of ODE, and 5) system of ODE. The result of this study can provide a summary of existing literature and identify the weakness or gap to be investigated further in the following research related to the topic of ODE.\",\"PeriodicalId\":385020,\"journal\":{\"name\":\"Al-Jabar : Jurnal Pendidikan Matematika\",\"volume\":\"341 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Jabar : Jurnal Pendidikan Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24042/ajpm.v13i1.10707\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Jabar : Jurnal Pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24042/ajpm.v13i1.10707","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
自1970年以来,常微分方程(ODE)的研究得到了更广泛的发展。因此,在一些期刊上发表的几篇文章可以在一些来源中找到。本文在查阅相关文献的基础上,对高等教育中微分方程的学习进行综述。因此,我们有兴趣对根据Scimago Journal Country Rank报告的教育学科领域SJR排名前5位的Scopus Q1中的24篇文章进行系统文献综述(SLR)方法。本研究主要集中在两个方面,一是学术文献中提出的ODE的学习方法,二是学术文献中提出并讨论了ODE的主题。系统的文献综述发现了四种学习ODE的方法(主动学习、数学建模、信息和技术交流以及几何和定性解决)。此外,我们还得出了学术文献中关于ODE的几个主题:1)一阶ODE, 2)欧拉方法,3)在问题(变化率,人口模型,logistic广义和弹簧质量)中的应用,4)二阶ODE, 5) ODE系统。本研究的结果可以为现有文献提供一个总结,并找出在接下来与ODE主题相关的研究中需要进一步调查的弱点或差距。
Learning ordinary differential equation at undergraduate level: A systematic learning review
The research about Ordinary Differential Equation (ODE) has increased more widely since 1970. Therefore, several published articles in some journals can be found in some sources. This paper aims to provide an overview of the learning differential equation in higher education based on relevant literature. Therefore, we are interested in conducting a Systematic Literature Review (SLR) methodology from 24 articles generated from Top 5 Scopus Q1 according to SJR reported by Scimago Journal Country Rank in the subject area of education. The present study focuses on two aspects, namely: 1) the learning method of ODE that is proposed in the academic literature, and 2) the topic of ODE has been put forward and discussed in the academic literature. The systematic literature review found four methods of learning ODE (active learning, mathematical modelling, information, and technology communication, and geometric and qualitative solutions). Moreover, we also concluded that the several topics of ODE in the academic literature are 1) first order of ODE, 2) Euler method, 3) application to the problem (rate of change, population model, logistic generalized, and spring-mass), 4) second-order of ODE, and 5) system of ODE. The result of this study can provide a summary of existing literature and identify the weakness or gap to be investigated further in the following research related to the topic of ODE.