Variational study of the pendulum’s angular motion in a differential equations course

 

Gorde:
Xehetasun bibliografikoak
Egileak: Fallas Soto, Rodolfo David, Gaete Peralta, Claudio
Formatua: artículo
Argitaratze data:2023
Deskribapena:The objective of this research is to get students to mean the mathematical objects related to the second order differential equation through the context of a physical phenomenon. With the support of the physical system of the simple pendulum, the behavior of the angular position is studied in a modelling process with the help of simulators. From variational thought and language as a line of research of socio-epistemology in mathematics education, activities that promote a modelling process in a differential equations course for students in initial training for teaching mathematics are designed, implemented, and analyzed. The results of the process experienced by the students are presented, such as: familiarization of the phenomenon, use and interpretation of the simulations, construction of the mathematical model and its predictive role for decision making. It was identified that the students’ experiences, as well as the physical context, were determining elements for success in the resolution of the design.
Herria:Kérwá
Erakundea:Universidad de Costa Rica
Repositorio:Kérwá
Hizkuntza:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/104756
Sarrera elektronikoa:https://iopscience.iop.org/article/10.1088/1742-6596/2515/1/012011
https://hdl.handle.net/10669/104756
https://www.doi.org/10.1088/1742-6596/2515/1/012011
Gako-hitza:Differential equation
Mathematical objects
Physical phenomenon
Mathematics education
Modelling process
Student participation
Teaching methods
Simulation models
Educational innovations
Activity learning