Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…

Purpose: With past studies indicating a lack of skill development in engineering education, there is a need for new pedagogical tools that are application and skill-oriented. Hackathons are widely accepted in the corporate world, in the engineering domain for skill development and recruitment but have not gained acceptance in mainstream…

In this note, some variants of Cauchy's mean value theorem are proved. The main tools to prove these results are some elementary auxiliary functions.

Background: Design problems have long attracted researchers' attention for their potential to provide authentic learning opportunities. While we have methods for supporting students to learn through relatively simple engineering and design tasks, supporting students to address complex problems that they find and frame remains poorly understood.…

Professional identity development is central to engineering education and has been an important focus of design for learning. However, little is known about how learners develop different aspects of engineering identity in response to the constraints and enablements of their learning environment. The purpose of this paper is to propose an…

Purpose: In this study, we presented the Design Thinking model called DITC (Design Thinking in Class) and conducted an experiment during one month with 197 engineering students at Hanoi University of Technology (HUST) to determine how this model could aid in the growth of problem solving and teamwork mindset in a flipped classroom. Method: A…

The state of virtual reality (VR) development is mature enough to be explored for application in various fields including higher education teaching, research, and training including engineering education. Traditionally, engineering education relied on diagrams and images to describe various systems and objects, sometimes accompanied by laboratory…

Background: Engineering design is widely recognized as a field that can generate key innovations for complex problems, such as those elucidated in the Sustainable Development Goals (SDGs). However, engineering design training is not widely accessible to the global community, particularly to people experiencing the challenges that the SDGs are…

Research on impact in student achievement of online homework systems compared to traditional methods is ambivalent. Methodological issues in the study design, besides of technological diversity, can account for this uncertainty. Hypothesis: This study aims to estimate the effect size of homework practice with exercises automatically provided by…

Design thinking--a human-centered approach to problem solving--is a process by which K-12 teachers engage students in solving relevant issues that occur in their schools. In this article, the authors describe a project in which fourth-graders used design thinking to solve an unexpected issue related to a much-anticipated class project. The project…

Contribution: This study identifies the attributes of complexity that can be incorporated into engineering design problems at first-year undergraduate engineering projects. The findings are compiled as a set of guidelines to aid engineering educators in crafting design problems. Background: Engineering professionals solve complex problems like…

Monte Carlo (MC) simulation is widely used in many different disciplines in order to analyze problems that involve uncertainty. Simulation decomposition has recently provided a simple, but powerful, advancement to the standard Monte Carlo approach. Its value for better informing decision making has been previously shown in the investment-analysis…

The literature describes different stances concerning the focus on how mathematics should be taught, with some preferring a conceptual knowledge approach and others a procedural knowledge approach. The current study investigated the relationship between students' conceptual and procedural knowledge in a calculus context. To better understand the…

This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia. In this course, the concept of partial differential equations and different solution methods were explained to them, both in…

Contribution: This research paper contributes to engineering education research with a framework for interdisciplinary learning outcomes based on students' experiences from participation in an interdisciplinary project for engineering students. A theoretical frame of reference is developed to analyze students' experience with interdisciplinary…