DOI: https://doi.org/10.61957/joerai-20230306

Title: Teaching Paradigm Innovation in Geometrical Optics for Cultivating Outstanding Engineers

Author: Haitao Lang , Wenjing Li

Abstract

In order to cultivate outstanding engineers in the Paris Curie Engineering School of Beijing University of Chemical Technology (Chimie Pékin), we made a reform in the teaching paradigm of Geometrical Optics. The motivation of this reform mainly stems from three aspects: (1) the regulations of the French Ministry of Education's preparatory education on the physics syllabus. (2) The mathematical and physical foundation of Chimie Pékin’s students. (3) The inadequacies of existing textbooks. Our reform includes two innovations. First, we established a mathematical sign rules based on Cartesian coordinates, integrating the physics concepts, optical processes, and mathematical formulas into a systematic and comprehensive mathematical framework. Then, we incorporated all reflective and refractive imaging situations into a unified object-image relation model, further revealing the internal connections between plane mirrors, spherical/curved mirrors, and lenses. Comparative evaluation fully demonstrated that the proposed teaching paradigm innovation can significantly enhance students' six skills and improve the achievement of outstanding engineers' training goals.
　

Keywords:  Sign rules; Object-image relation; Geometrical optics; Outstanding engineers