This paper explains how to prepare students to learn faster, as learning is not directly connected to classroom teaching. Learning can happen in various forms, and hence, experiential teaching connects students well. The learning could be faster and far greater than expected. This study follows a process incorporated for betterment and advancement…

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

Pearson's Learning Foundations describe the optimal conditions for learning and reflect the learner experience Pearson hopes their products will create. Pearson does this by incorporating the Learning Design Principles. Each of the Learning Design Principles goes into detail about a key principle, supporting product design and marketing by…

Vectors have important applications both within and outside mathematics, but the concept of vectors is often taught to students in a less-than-engaging way, leading to students feeling inadequate and frustrated. This article describes the use of a mathematical microworld, "Driving with Vectors," to explore vectors using equitable…

The understanding of the basic principles of chromatography is of high importance for chemistry, pharmacy, and biology students. In this paper, we present a free web application which can be used as a teaching tool to introduce chromatography to undergraduate students, using one of the simplest chromatography models: the plate theory.

CRISPR-Cas9 is revolutionizing how we conduct scientific research, treat disease, and develop new crops. The widespread impact of this genome-editing technology makes it critical for undergraduate students to understand and engage with this new tool. In this article, we describe a multi-week lab module that teaches undergraduates how to design…

The COVID-19 pandemic has forced many higher education institutions to offer their courses online, which is quite challenging when implementing laboratory sessions. Here we describe a web-based teaching resource consisting of a metallographic atlas with more than 200 micrographs corresponding to pure metals, binary alloys, steels, cast irons, and…

The use of symmetry is widespread in chemistry, as it is used for predictions of the number of allowed and forbidden absorptions in electronic, vibrational, and rotational spectroscopies; for predictions of the combination of atomic orbitals to produce molecular orbitals; and in many other chemical applications. One critical step in these…

A bachelor's degree program in chemistry typically starts with basic concepts in mathematics, physics, and chemistry. Those principles are very important because they pave the ground for future advanced studies and, therefore, one needs to present them in a clear but rigorous way. One example is provided by the mathematical notion of an iterative…

Probabilistic reasoning underpins much of middle school students' future work in data analysis and inferential statistics. Unfortunately for many middle school students, probabilistic reasoning is not intuitive. One specific area in which students seem to struggle is determining the probability of compound events (Moritz and Watson 2000). Research…

Integrated classrooms and 1:1 initiatives are growing in popularity and maturity. Each year, new school- and district-wide 1:1 initiatives launch. Even if schools are not yet a 1:1 environment, teachers and students likely incorporate and encounter more technology with each passing semester. While new initiatives launch each year, the first wave…

In this article, physical quantities related to the motion of a parachute system in the framework of Newton's law of mechanics guide an informal approach to the mathematical concept of function. Furthermore, a graphical simulator that enables visualization of the fall of object-parachutes system is presented. The article is aimed at students and…

Facile visualization of biomolecules is an essential component of the undergraduate biochemistry curriculum. In the past, a number of tools have been used to display biomolecules. More recently, the advent of greater accessibility to virtual reality (VR) and augmented reality (AR) programs has created a new mechanism to visualize biomolecules.…

Principal component analysis (PCA) is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas. Running a PCA results in two main elements, the score plot and the loading plot; the score plot provides the location of the samples, and the loading plot indicates correlations among variables, the trends in…

Computer games and computer-assisted instruction have become prevalent in reading classrooms. However, research-based guidance for teacher use of such resources has not progressed at the same rate. In lieu of research, myths circulate about the utility of these resources, particularly when students use computer games independently. The authors…