Solving problems in organic chemistry often requires the consideration of reaction mechanisms. As such, much research has been devoted to the examination of how students consider mechanisms when solving various types of organic chemistry problems, such as predicting the products of a reaction or proposing a synthesis. This article provides a…

Purpose: This paper aims to identify how the faculties of a Colombian University have understood the concept of sustainability and the way they have embedded it into their training. Design/methodology/approach: Qualitative research was done using documentary and content analysis which allowed researchers to recognize features correlated to…

As digital educational media use becomes more widespread, an opportunity exists to develop new methods to present abstract ideas to provide a more meaningful learning experience. Drawing from psychology and dynamic visualization research, new interactive tools can be thoughtfully designed but it is also necessary to establish how these media are…

The trends of teaching mathematical thinking and the existence of two thinking skills (critical dan creative thinking) the required by 21st century skills have created needs for teachers to know their students' thinking processes. This study is intended to portray how mathematics teachers expect their students showing their thinking processes in…

The benefits of solving problems have been widely acknowledged by literature. Its implementation in e-learning platforms can make easier its management and the learning process itself. However, its implementation can also become a very time-consuming task, particularly when the number of problems to generate is high. In this tutorial we describe a…

It is clear that the teaching of medical statistics needs to be improved, yet areas for priority are unclear as medical students' learning and application of statistics at different levels is not well known. Our goal is to assess the attitudes of medical students toward the learning and application of medical statistics, and discover their…

Each year, thousands of undergraduates in the science, technology, engineering, and mathematics (STEM) fields conduct research in US university and college laboratories. Such undergraduate research (UR) experiences are common practice in US higher education, with nearly a century of history at research universities and liberal arts colleges.…

In the first tier of a multi-tier research project, U.S. faculty from the School of Teacher Education and the School of Library and Information Studies seek to create synergies between teacher education and library initiatives in order to understand the best ways to encourage collaboration between teachers and librarians. This article discusses…

The screened Coulomb potential, or Yukawa potential, is used to illustrate the application of the single and linear variational methods. The trial variational functions are expressed in terms of Slater-type functions, for which the integrals needed to carry out the variational calculations are easily evaluated in closed form. The variational…

This paper examines the development of students' metacognitive skills in a data-rich environment. The study involves the development and use of a Metacognitive Inventory, which evaluates students' awareness of their cognitive processes as they approach and solve problems. This 26-item inventory is based on the Problem Solving Inventory and State…

Dimensional analysis, superposition principle, and continuity of electric potential are used to study the electric potential of a uniformly charged square sheet on its plane. It is shown that knowing the electric potential on the diagonal and inside the square sheet is equivalent to knowing it everywhere on the plane of the square sheet. The…

We propose a simple and straightforward method based on Wronskians for the calculation of bound-state energies and wavefunctions of one-dimensional quantum-mechanical problems. We explicitly discuss the asymptotic behaviour of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider…

We have applied the "practical paradigm" in teaching problem solving to secondary school students. The key feature of the practical paradigm is the use of a practical worksheet to guide the students' processes in problem solving. In this paper, we report the diffusion of the practical paradigm to university level courses for prospective…

We show that in the grounded conducting sphere image problem, all the necessary information about the image charge can be found from a mirror equation and a magnification formula. Then, we propose a method to solve the image problem for an extended charge distribution near a grounded conducting sphere. (Contains 4 figures.)

In this paper, canonical transformations generated by constants of motion in the case of the Kepler problem are discussed. It is shown that canonical transformations generated by angular momentum are rotations of the trajectory. Particular attention is paid to canonical transformations generated by the Runge-Lenz vector. It is shown that these…