UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-23 18:20

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Conference: Bucharest University Faculty of Physics 2017 Meeting


Section: Physics Education


Title:
Understanding multiple reflections in two plane mirrors by building computer simulations


Authors:
Daly MARCIUC(1,2), Cristina MIRON (1), Emil-Ștefan BARNA (1)


*
Affiliation:
1) University of Bucharest, Faculty of Physics

2) ”Mihai Eminescu” National College of Satu Mare


E-mail
daly.marciuc@gmail.com


Keywords:
Multiple reflections, GeoGebra, geometric optics, plane mirrors, simulations, interdisciplinary learning


Abstract:
In this work we investigate how students can build and use, in high-school Physics lessons, various interactive simulations aiming to a better understanding of the phenomenon of multiple reflections in two intersected plane mirrors. The applets achieved with GeoGebra allow changing the angle between the mirrors, the position of the source object and the position of the first reflection point of a successively reflected ray of light. The applets provide a dynamic representation of the images of a movable object and also a representation of a reflected ray, highlighting the relation between the positions of the images and the extensions of a reflected ray. After discussing the positioning of the images of the point-like objects, we will address the same problem for some colorful polygonal shapes, resulting in kaleidoscopic figures. Finally, using GeoGebra, the students can simulate the movement of a point-like body that collides elastically against two walls forming an arbitrary angle, observing the analogy between the trajectory of the body and the path of a successively reflected ray in two plane mirrors. By building and using simulations students have the opportunity to make connections between their Math and Science knowledge, developing their skills in solving interdisciplinary problems.