Background: To prepare engineers who can address complex sociotechnical problems, a deep understanding of engineers' complex problem-solving approaches is needed. Purpose/Hypothesis: This study operationalizes comprehensive systems thinking as an analysis framework that attends to aspects of engineering work and relationships among those aspects.…

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: Undergraduate students consistently struggle with mastering concepts related to thermodynamics. Prior work has shown that haptic technology and intensive hands-on workshops help improve learning outcomes relative to traditional lecture-based thermodynamics instruction. The current study takes a more feasible approach to improving…

Background: A defining characteristic of expertise is the use of intuition to navigate tasks. The construct of intuition and its importance is well-studied in other disciplines, but little is known about how it translates to engineering. Existing literature on intuition does not clearly define the construct and its relationship to problem solving,…

Background: Civil engineers design systems that have the potential to impact existing oppressive societal conditions. Critical action--the ability to recognize and act against oppressive conditions--is an obligation for civil engineers committed to building a more just world. Purpose/Hypothesis: History reveals that civil engineers often do not…

There are myriad understandings of design that have evolved over time and vary by the industries and disciplines that practice it. In the engineering context, design is often described as a process or problem-solving ability. Through interviews with 12 experienced engineers, it was found that there are diverse understandings of the relationship…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

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…

In the 21st century, with the exponential rise in global population and a greater demand for environmental resources, the focus of engineering is on integrated solutions within a multifarious context. To successfully navigate today's multidisciplinary and multicultural environment, engineers require soft skills in addition to their technical or…

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…

Solving ill-structured problems is a complex task that is required of engineers who work in industry. To better prepare undergraduate engineering students for this complex task and their future professional careers, this paper provides an analysis of the results of research focusing on the study of problem-solving processes adopted by civil…

Contribution: Two general rules for calculating, in the time domain, step discontinuities of voltages and currents in electric circuits, combining physical principles and basic mathematical treatment. The two general rules, resulting from a formal method of analysis, provide a straightforward way to update the states of a circuit, immediately…

Heuristics are approaches engineers use for solving problems and making decisions with quick, often approximate, calculations and/or judgement calls. Such approaches have become marginalized in structural engineering education to make room for more theoretical and precise approaches. As a result, engineering students are less confident with…

Background: Both learning and problem solving are major goals of complex problem solving in engineering education. The order of knowledge construction and problem solving in learning through problem solving, however, has not been explained in current literature. Objectives: To understand their relationships, this study compared the effects of…

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers…