EURISTIC INSTRUCTION FOR WAVE EQUATION PROBLEM-SOLVING USING VARIABLE SEPARATION METHOD

INSTRUCCIÓN HEURÍSTICA PARA RESOLVER PROBLEMAS DE ECUACIÓN DE ONDA MEDIANTE EL MÉTODO SEPARACIÓN DE VARIABLES

  • Manuel Alvarez Alvarado University of Birmingham
  • Fernando Vaca Urbano Escuela Superior Politécnica del Litoral (SPOL)

Resumen

This study focuses on heuristic instruction as a method of logical thought processes. The objective is to raise and establish a framework for problem-solving in the application of separation of variables for the wave equation. This leads to a simple and easy pathway to make the topic at a manageable level for the students.  This paper proposes a base problem, over which the heuristic instruction is applied. Eventually, the result is the determination of a system that allows a simple approach to avoid difficulties in solving problems in which the separation of variables in the equation of the wave is employed. In order to determine the impact of heuristic in students learning gain, two groups of 20 students each (experimental and control) were subject to a pre- and post-test. To the control group, the scheme proposed was not employed. In contrast to the experimental the proposed approach was employed. The results reveal that the heuristic scheme for wave equation problem-solving has a significant impact on students’ learning process.


Key words: Physics, Heuristic Instruction, Differential Equations, Wave Equation.

Citas

Arslan, S. (2010). Traditional instruction of differential equations and conceptual learning. Teaching Mathematics and its Applications. 29:94-107.
Abrosio, G. (2011). Heurística, racionalidade y verdad. CADERNOS UFS FILOSOFIA – Ano 7, Fasc. XIII, Vol. 9.
Cabrera, L.; Marilú, J.; Valdivia, M.; Villegas, E.; Mondéjar, J.; Miranda, L. (2006). La heurística en la enseñanza de la matemática. Monografía de la Universidad de Matanzas “Camilo Cienfuegos”, pag. 4.
Celia, H.; Richard, N. (2017). Visions for Mathematical Learning: The Inspirational Legacy of Seymour Papert (1928–2016). EMS Newsletter.
Chanillo, S., Franchi, B., Lu, G., Perez, C., & Sawyer, E. T. (2017). Harmonic Analysis, Partial Differential Equations and Applications. Honor of Richard L. Wheeden.
Dellwo, D. (2010). Course Assessment Using Multi-Stage Pre/Post Testing and the Components of Normalized Change. Journal of the Scholarship of Teaching and Learning, 10(1): 55-67.
Francisco, C. (1999). La aplicación de procedimientos heurísticos y situaciones problémicas en la resolución de problemas de Matemáticas I. Tesis de grado de maestría pag. 19.
Gilar,C. (2003). Teoría del aprendizaje. Tesis Doctoral Universidad de Alicante.
Rocio, A.; Elizabeth, V. (2004). Incidencia del razonamiento abstracto en el escogimiento de carreras técnicas en los alumnos de los sextos cursos del instituto técnico superior “San Vicente Ferrer” de la ciudad de Puyo provincia Pastaza, año lectivo 2002-2003.Tesis de grado pag. 22.
Montero Vilar, P. (2011). Aprendizaje metodológico de la solución de problemas a través de documentales cinematográficos.
Zbigniew, M.; David, F. (2004). How to Solve It: Modern Heuristics. Springer, Second Edition, North Carolina, pag. 1-20
Zill, D. (1997). Ecuaciones diferenciales con aplicaciones de modelado, 6ta Ed, México, pag. 70-77.
Publicado
2017-12-31
Sección
Ciencias Físicas