Applications (Ideas) in Linear Algebra with Digital Image Processing. Can we Do, Teach, Motivate and Evaluate?

C M R Caridade

doi:10.29333/jisem/6347

Abstract

The application of new methodologies in higher education brings with it questions such as: “Can we do it?”, “Can we teach?”, “Can we motivate students?”, “Can we evaluate?”. During the last 8 years, in the Linear Algebra course of the Mechanical and Electromechanical Engineering of the Polytechnic of Coimbra-Institute of Engineering, it has been trying to answer these questions. The teaching methodology presented consists in the approach of Linear Algebra contents, using digital Image Processing applications. This new environment is intended to encourage students to learn the concepts and their manipulation in a productive and dynamic way. From the analysis of the studies and the student’s opinions (students’ adherence and motivation, questionnaires), it has been found that the use of this new teaching methodology helps the ‘learning to learn’ as long as it is well defined, with clear objectives for those who implements (teacher) and who interacts (students) with it.

Highlights

As in many other universities, Polytechnic of Coimbra-Institute of Engineering (PC-IE) offers basic curricular units of mathematics in the first year of all engineering
In view of the above findings, during the last 8 years, in Linear Algebra course (LA), mathematical content has been explored through practical applications of digital image processing
During the theoretical and practical lessons, a new teaching methodology are presented to the students, using a stimulating and interesting learning environment where DIP interacts with LA

Summary

Introduction

As in many other universities, Polytechnic of Coimbra-Institute of Engineering (PC-IE) offers basic curricular units of mathematics in the first year of all engineering. In view of the above findings, during the last 8 years, in Linear Algebra course (LA), mathematical content has been explored through practical applications of digital image processing. The work presented in this paper is a collection of applications developed for engineering students where LA contents are learned through DIP.

Results

Conclusion