A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…

Background: The complexity and diversity of problems and concepts in different engineering subjects represent a great challenge for students. Traditional approaches to teaching statics are ineffective in helping some students overcome the learning barriers that underlie learning statics and developing problem-solving skills. Purpose: This article…

Differential equations are an important mathematical concept used to model processes in many disciplines. However, the literature shows that students experience many difficulties when studying this topic. We investigate the effect of using context while teaching differential equations on engineering students' ability to construct and interpret…

Purpose: Problem solving skills (PSS), an important component of learning outcomes, is one of the desirable skills in engineering graduates as stated by many employers, researchers and government bodies in India for a strong foothold in professional world. There is a need to develop comprehensive understanding and integration of theory (concept)…

The Smile project is an engineering service-learning initiative carried out through collaboration between Chouaib Doukkali University in Morocco and Pusan National University in South Korea. Since 2016, this project has been conducted annually for engineering students from both universities. Participants are selected through an oral interview,…

Engineering students are expected to develop their professional skills throughout the course of their degrees. Yet, there is no clear consensus among educators of which skills are being developed or how this is done effectively. This scoping review has been produced to draw together and disseminate information on effective techniques for…

Background: To create design solutions experienced engineering designers engage in expert iterative practice. Researchers find that students struggle to learn this critical engineering design practice, particularly when tackling real-world engineering design problems. Purpose/Hypothesis: To improve our ability to teach iteration, this study…

This paper illustrates the design-based learning (DBL) approach to promoting the deep learning of students and improving the quality of teaching in engineering design education. We performed three aspects of research with students in a typical educational activity. The first study investigated students' deep learning before and after the DBL…

Reform documents advocate for innovative pedagogical strategies to enhance student learning. A key innovation is the integration of science and engineering practices through engineering design (ED)-based physics laboratory tasks, where students tackle engineering design problems by applying physics principles. While this approach has its benefits,…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

Flipped learning has attracted increasing attention in all grade levels in recent years and becomes an alternative to the traditional model. Even though there is a large body of research on flipped classrooms, they usually ignore the learning theories that were used to construct the curriculum and instead concentrate on the degree to which using…

Mathematics plays a crucial role in engineering education. Students who are good at math are often advised to consider engineering as a career. In this study, engineers, mathematics teachers, and engineering professors were asked about the type of mathematics representative of engineering, whether the engineering problems created by math…

A primary goal of science and engineering (S&E) education is to produce good problem solvers, but how to best teach and measure the quality of problem solving remains unclear. The process is complex, multifaceted, and not fully characterized. Here, we present a detailed characterization of the S&E problem-solving process as a set of…

Situated in an elementary afterschool Engineering Literacies Club framed around multiliteracies and the engineering design process, this article explores engineering habits of mind and disciplinary literacies. Disciplinary literacies encourage students to read, write, think, and act like historians, mathematicians, scientists, or engineers by…

Science, Technology, Engineering, and Mathematics (STEM) education is essential for developing future-ready learners in both secondary and higher education levels. However, as students transition to higher education, many encounter challenges with independent learning and research. This can negatively impact their Higher-Order Thinking Skills…