In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…

In this article, a numerical method integrated with statistical data simulation technique is introduced to solve a nonlinear system of ordinary differential equations with multiple random variable coefficients. The utilization of Monte Carlo simulation with central divided difference formula of finite difference (FD) method is repeated n times to…

The damped harmonic oscillator physics problem is a standard oscillation problem in calculus physics for pre-engineering students in a community college. The use of alternative linear algebra eigenvalue stability method is consistent with the upper engineering courses using control theory. The external force and friction damping would become the…

This research aims to explore the latent effect of elementary student engagement in a Spherical Video-based Virtual Reality (SVVR) environment for a school-based course on higher level competence development. Student engagement and higher level competence development were investigated using a valid sample of 324 students from five elementary…

In the era of the Internet-of-everything, learning the principles of data communications and networking is inevitable for many electrical engineering disciplines. The paper addresses the effectiveness of teaching the fundamentals of data communications and networking using a dedicated lab course as a co-requisite to a classic lecture-based course.…

This paper discusses the role of Multi-User Virtual Environments (MUVEs) in the development of epistemic learner identity. MUVEs might help educators create the types of tasks and intellectual open spaces helping students with learner identity development in the information age. MUVEs can create new possibilities for dissemination and sharing of…

Background: Invention and mastery learning approaches differ in their foundational educational paradigms, proposed mechanisms of learning, and potential impacts on learning outcomes. They also differ in their resource requirements. We explored the relative effects of 'invent and problem-solve, followed by instruction' (PS-I) learning compared to…

The complex and dynamic nature of collaboration makes it challenging to find indicators of productive learning and quality collaboration. This exploratory study developed a collaboration metric to capture temporal patterns of joint attention (JA) based on log files generated as students interacted with an immersive astronomy simulation using…

Computer simulation and animation (CSA) is educational technology in which computer programs are employed to simulate and animate real-world physical phenomena and processes. CSA has attracted growing attention and received an increasing number of applications in the international science, technology, engineering, and mathematics education…

One of the main objectives in mathematics education is to motivate students due to the fact that their interest in this area is often very low. The use of different technologies, as well as gamification in the classroom, can help us to meet this goal. In this case, it is presented the use of two techniques, which are a digital escape room, using…

Monte Carlo simulations for uncertainty propagation take as inputs the uncertainty distribution for each variable and an equation for the calculation of a desired quantity. The desired quantity is then calculated by randomly drawing from the specified uncertainty distributions of the input variables. This calculation is then repeated many times…

Intelligent learning environments can be designed to support the development of learners' cognitive skills, strategies, and metacognitive processes as they work on complex decision-making and problem-solving tasks. However, the complexity of the tasks may impede the progress of novice learners. Providing adaptive feedback to learners who face…

Problem-solving is one of the biggest challenges that students can find in an Engineering degree. Information and communication technologies are of great use in this regard, providing learners with tools that complement their study and facilitate skills acquisition. A good strategy to enhance student motivation towards problem-solving is to use…

Purpose: Previous results show that the anesthetists' activity during the planning phase is aimed at neither identifying risks nor pinpointing the adverse events likely to occur; rather, it is to devise "manageable situations" that are adapted to their own competences. The present paper focuses on the issue of understanding how, in…

Simulation educational technologies provide a convenient way to augment classroom learning in higher education. The University of Colorado Boulder has created many Physics Education Technology (PhET) computer simulations relevant to concepts in Sciences and Mathematics. There is a notable gap in the literature of simulation-based technologies,…