Teaching Linear Algebra in Engineering Courses Using Critical Thinking

Abstract

Nowadays it is important to improve in higher education students the critical thinking skills and dispositions in the different curricular units that are part of their schooling. Since “Linear Algebra” is a curricular unit part of any degree in engineering, we show that it is possible to integrate activities in their classes that enable the development of skills and critical thinking dispositions by students. We present examples of such activities for one item/topic of the syllabus of Linear Algebra as a proposal for future implementation in the teaching process. We will apply principles of instructional design planning and evaluation of those activities that develop critical thinking skills and dispositions in students. We will also apply active learning principles and cooperative learning strategies, including the learning based on problem solving, using questioning.

Keywords

• critical thinking
• higher education
• mathematics
• linear algebra