The standard deviation (SD) of a random sample is defined as the square-root of the sample variance, which is the "mean" squared deviation of the sample observations from the sample mean. Here, we interpret the sample SD as the square-root of twice the mean square of all pairwise half deviations between any two sample observations. This…

Quantum mechanics has completed century since its genesis. Quantum mechanics is taught at various levels-starting from school and colleges to universities. Regression methods are introduced at under graduate and post graduate levels to solve Schrodinger equation for finding solutions of various trivial and non-trivial physical problems. The common…

Purpose: The significance of visuo-semiotic models in biology education has increased. Students have to develop visuo-semiotic skills, which could enable them to learn biology effectively. However, a lack of a universal theory of visual literacy has made it challenging to develop and assess visualization skills, including visuo-semiotic skills.…

In order to effectively use emerging digital educational technologies educators should reflect on how these technologies influence student learning, including student creativity. Existing research shows that creativity can be supported by emerging technologies, but recent research in this area has not yet been reviewed. The purpose of our…

The probability is exceptional in the teaching of mathematics because students often have difficulties to understand the basic terms and the problem solving strategies. Understanding lacks of the probability concept and various types of misconceptions arise from the misleading intuition and misinterpretations of experience with the stochastic…

An application for visualizing the aggregation of structureless atoms is presented. The application allows us to demonstrate on a qualitative basis, as well as by quantitatively monitoring the aggregate surface/volume ratio, that the enhanced reactivity of nanoparticles can be connected with their large specific surface. It is suggested that,…

In this work, we describe an educational approach based on augmented reality (AR) and mobile technology that has been developed with the aim to engage students in a learning procedure regarding the electric forces as well as Coulomb's Law. Initially, we present the AR learning environment and we explain its design principles with respect to the…

The purpose of this study was to examine the impact of active learning on student performance in a sophomore-level anatomy and physiology course. Exam grades of students from two consecutive fall semesters were compared. In the first year of the study, students (n=180) used skeletons, plastic muscular manikins, and illustrations to learn the…

The teaching of Mathematics in the context of the Mathematical Olympiads in Brazil constitutes a context of research still little considered, with particular interest in the teaching and the learning phenomena. In Brazil, we identified a large number of teachers and students who do not participate in official math competitions, such as the…

Computational techniques have great potential to improve the teaching-learning. In this work, we used a computational strategy to visualize three-dimensional (3D) structures of proteins and DNA and help the student to comprehend biochemistry concepts such as protein structure and function, substrate, and inhibitors as well as DNA structural…

The cognition processes of students with autism spectrum disorder (ASD) in solving mathematical problems is still rarely studied in depth, although the prevalence of the students is increasing. The purpose of this research was to describe the cognition processes of students with ASD in solving mathematical problems. The subjects in this research…

The last 15 years have witnessed a quiet revolution in the understanding of spatial skills, and the authors are finding that these all-important science, technology, engineering, and math (STEM) competencies are rooted in spatial knowledge. Spatial skills are the tools use to visualize and navigate the world. Spatial skills allows people to…

In this paper, we report findings from a systematic mapping study, conducted to review the existing literature on collaborative educational environments incorporating mixed reality technologies. There is increasing interest in mixed reality technologies in education, especially with the introduction of new over head mounted displays (OHMDs), such…

Spatial intelligence is an essential skill commonly used within various fields of science. Students with low spatial abilities frequently struggle to identify, retrieve, and apply key complex abstract information presented as multiple representations to actual three-dimensional natural materials and phenomena. Spatial ability may be considered a…

Because sound waves are such an abstract concept in physics, hands-on activities are often recommended to improve students' understanding and strengthen their knowledge. However, most schools do not have sufficiently sophisticated measuring instruments to perform sound wave experiments. Recently, researchers used smartphones as oscilloscopes,…