Teaching of Ordinary Differential Equations Using the Assumptions of the PBL Method

Santos, Leandro Brito; Xavier, P.; Santos, José Vicente Cardoso; Sampaio, Renelson Ribeiro

doi:10.3991/ijep.v10i3.12015

Cited by 8 publications

(12 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Participation of students in scientific research, projects, and presentations contributes to a deeper knowledge of the studied subjects [35]. The presence of a university research base allows the use of a problem teaching method that promotes the assimilation of complex educational material due to the connection between theory and practice [36]. There is a need to transform teaching in higher education towards its practical orientation in order to motivate students, engage them in research, and thereby contribute to their academic performance and better mastery of professional competencies.…”

Section: Vectors Of Development Of Scientific Scientific-technical Activities Of Universities In the Post-soviet Space And In The Global mentioning

confidence: 99%

Study of the System of Scientific and Scientific-Technical Activities of Agrarian and Economic Universities

et al. 2021

View full text Add to dashboard Cite

Universities, being the center of highly qualified scientific and pedagogical personnel, have the opportunity to create scientific schools, attract young scientists to a scientific career and form a scientific elite among gifted students, thus integrating theory and practice, science and education, influencing the development of scientific knowledge. Scientific potential, the development of fundamental and applied science are criteria for the competitiveness of universities in the educational services market. Thus, it is relevant to find effective ways to train scientific personnel and comprehensively study systems of scientific and scientific-technical activities of universities. The purpose of this study is to compare scientific and scientific-technical activities of agrarian and economic universities in Russia, Kazakhstan and Bulgaria, where personnel is trained for one of the leading industries in these countries. An anonymous online survey based on a specially designed questionnaire was conducted; it involved 162 respondents from the countries above - scientific and pedagogical staff of agrarian and economic universities. The results of the present study, in comparison with the data of scientific literature, allow one to assert that the common global problems in universities are unstable funding and a decline in the prestige of a scientific career. The latter makes it difficult to attract young people to science, leads to aging of scientific personnel, dissatisfaction with work, and the risk of professional burnout. At the same time, fierce competition imposes increased requirements on the quality of universities' scientific products and their promotion in the market of research and scientific-pedagogical services. A feature of the modern world is the integration of scientific and scientific-technical activities of individual higher educational institutions into the international scientific environment, which not only provides new opportunities for research, the development of human resources, and mastery of new high technologies, but also exacerbates the problem of compliance with bioethical norms and academic decency, management of scientific resources and protection of intellectual property at all levels. As a result of the research, general and distinctive features of scientific and scientific-technical activities of agrarian and economic universities of Russia, Kazakhstan, and Bulgaria have been identified. Based on the empirical data obtained and their comparison with the results of an analytical review of scientific literature, a generalized universal model of the system of universities' scientific and scientific-technical activities has been created, which will optimize the reform process and contribute to the development of research potential.

show abstract

Section: Vectors Of Development Of Scientific Scientific-technical Activities Of Universities In the Post-soviet Space And In The Global mentioning

confidence: 99%

Study of the System of Scientific and Scientific-Technical Activities of Agrarian and Economic Universities

et al. 2021

View full text Add to dashboard Cite

show abstract

“…H is the 2 2 n n  dimensional stationary system matrix. ( ) r t is an arbitrarily varying nonhomogeneous term 0 v is a given initial condition [2]. The differential equation ( 1) is a firstorder linear non-homogeneous ordinary differential equation about the 2n dimensional state vector v .…”

Section: Introductionmentioning

confidence: 99%

“…0 q and f t q are the given boundary conditions at both ends. Therefore, the problem addressed in this article is the first-order linear non-homogeneous two-end boundary value ordinary differential equation described in equation (2). The solution of the differential equation ( 1) can be expressed as…”

Section: Introductionmentioning

confidence: 99%

Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Zhang

2022

Applied Mathematics and Nonlinear Sciences

View full text Add to dashboard Cite

The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the n-th order non-homogeneous linear ordinary differential equations with constant coefficients and get the method of solving this equation. Then we use the Filippov transformation and comparison theorem to prove the boundedness of all system trajectories. Numerical results show that the calculation formula is effective for solving stiff ordinary differential equations.

show abstract

“…Learning like this makes students less constructive understanding of the underlying equation and appreciates what it means to be the solution of the equation [9]. Students have difficulty when studying ordinary differential equations and their application to real physical scenarios [10]. Thus, in the study of differential equations, it is essential to include fairly extensive material about the application and modeling of mathematics.…”

Section: Introductionmentioning

confidence: 99%

Students' Mathematical Critical Thinking Ability in Solving The Application of First-Order Differential Equations

Nurrahmah¹,

Waluya²,

Asih³

et al. 2021

Proceedings of the 1st International Seminar on Teacher Training and Education, ISTED 2021, 17-18 July 2021, Purwokerto, Indone

View full text Add to dashboard Cite

Many mathematical problems of natural symptoms whose mathematical models can be formulated in the form of differential equations. Because the problem is complex, students need to develop their thinking skills, one of which is critical thinking. This study aims to describe students' mathematical critical thinking ability in solving the problem of the application of first-order differential equations. The method used in this study is descriptive qualitative. The subject of this study was a 6th-semester student of Indraprasta PGRI Indraprastha, with as many as three people. The selection of subjects is donetopicsosive sampling, based on the results of pretests. The instruments used are critical thinking skills tests (pretest and posttest questions), interview guidelines, and researchers. Data analysis techniques are carried out through data reduction, presentation of data, and verification. The results showed that there were student's critical thinking ability in solving problems of applying first-order differential equations, especially in subjects with high (L6) and moderate pretest (M9) results that met all indicators. However, issues with low pretest results (L2), from the three questions given, could only work on one question and did not fulfill the critical thinking indicators in the other two questions.

show abstract

Teaching of Ordinary Differential Equations Using the Assumptions of the PBL Method

Cited by 8 publications

References 9 publications

Study of the System of Scientific and Scientific-Technical Activities of Agrarian and Economic Universities

Study of the System of Scientific and Scientific-Technical Activities of Agrarian and Economic Universities

Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Students' Mathematical Critical Thinking Ability in Solving The Application of First-Order Differential Equations

Contact Info

Product

Resources

About